tag:blogger.com,1999:blog-24672026395982380632016-08-21T22:04:05.348-05:00misscalcul8Elissa Millernoreply@blogger.comBlogger597125tag:blogger.com,1999:blog-2467202639598238063.post-74515874646445844872016-08-20T22:24:00.003-05:002016-08-20T22:24:56.948-05:00First Days 2016-2017<br />I was <i>not</i> ready. I spent my last few days getting my classroom ready and not preparing actual activities. This should have been an 'easy' week for me since it's the only time I can get away with doing the same thing every hour. Instead I didn't go to bed earlier than midnight all week. =( Definitely making a check list so this doesn't happen next year.<br /><div><br /><b>Monday</b><br />Today we did Mental Math Monday and got our binders ready: dividers, tabs, names on the spine, pencil bags, new pencils, and dry erase markers. We folded our name tents; I loved having students write to me every day. The name tent part was not really necessary since we are so small and everybody knows everybody. Next year I might not use an actual name tent. It also took me up to an hour and a half each night too respond. I would say it is worth it but I definitely couldn'tdo it all year.We did our first <a href="https://saravanderwerf.com/2016/06/27/secondary-number-talks-ill-convince-you-with-ducks/">number talk</a>!<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://3.bp.blogspot.com/-TZI01n1UZCs/V7jj2FKwjfI/AAAAAAAAFSg/ONeo2zGES9sNuETSVmmmQNuWnffOCBOkQCLcB/s1600/Day%2B1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://3.bp.blogspot.com/-TZI01n1UZCs/V7jj2FKwjfI/AAAAAAAAFSg/ONeo2zGES9sNuETSVmmmQNuWnffOCBOkQCLcB/s320/Day%2B1.jpg" width="320" /></a></div><br /><br /><b>Tuesday</b></div>I used Google Classroom for the first time today and I think I was successful. Students used an ipad to sign in to their account add my class by code. I posted a question asking them they're favorite animated movie. Then I posted a google form for estimation180. They commented and opened the form. I showed a picture on the board and they gave me a too low, too high, and estimate. We looked at the answers on the spreadsheet and then I showed the correct answer. I had 4-5 students guess correctly throughout the day and that has never happened. Google Forms FTW? Next, we did Amy Zimmer's <a href="https://docs.google.com/presentation/d/1ePSYmbQ_UvmjA3UKmBFzeVj9ujhq9-yH528cG9lfuoU/edit">icebreaker</a> to set up groups and group roles. I noticed that the designated time keeper kept time for the rest of the period, even after the activity ended. From there we went straight to Sara's<br /><a href="https://saravanderwerf.com/2015/12/07/100-numbers-to-get-students-talking/">1-100 task</a> making groups work. The kids LOVED it!! In between rounds we discussed strategies for working together and improving their times.<br /><b><br /></b><b>Wednesday</b><br />We started with our Work It Wednesday problem, how can you arrange 8 8's to add up to 1000? From there I showed them pictures from the previous day's 1-100 task.<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://3.bp.blogspot.com/-HaPR5p2-pLo/V7kAkDxIGUI/AAAAAAAAFSw/55-lriVS5d0r4ANGviaO4xCOBqdPNvPygCLcB/s1600/IMG_6309.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://3.bp.blogspot.com/-HaPR5p2-pLo/V7kAkDxIGUI/AAAAAAAAFSw/55-lriVS5d0r4ANGviaO4xCOBqdPNvPygCLcB/s320/IMG_6309.JPG" width="240" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://3.bp.blogspot.com/-xvMAnBvSWg0/V7kAnYkZX4I/AAAAAAAAFS4/rS2NvqyOClkP0_rFM4xgQQ9UCHnDiVp0QCLcB/s1600/IMG_6310.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://3.bp.blogspot.com/-xvMAnBvSWg0/V7kAnYkZX4I/AAAAAAAAFS4/rS2NvqyOClkP0_rFM4xgQQ9UCHnDiVp0QCLcB/s320/IMG_6310.JPG" width="240" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://4.bp.blogspot.com/-i0Gak9PAaj4/V7kAlPnUXEI/AAAAAAAAFS0/qD6xJjV76hUFp9qPgEXDPebeAnJ6Wb5EwCLcB/s1600/IMG_6311.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://4.bp.blogspot.com/-i0Gak9PAaj4/V7kAlPnUXEI/AAAAAAAAFS0/qD6xJjV76hUFp9qPgEXDPebeAnJ6Wb5EwCLcB/s320/IMG_6311.JPG" width="240" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://3.bp.blogspot.com/-zsrjuZN7gxg/V7kBBxO1PeI/AAAAAAAAFS8/mgP-oCEGjskQkasfevM9udu4ctRHCxVtwCLcB/s1600/IMG_6320.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://3.bp.blogspot.com/-zsrjuZN7gxg/V7kBBxO1PeI/AAAAAAAAFS8/mgP-oCEGjskQkasfevM9udu4ctRHCxVtwCLcB/s320/IMG_6320.JPG" width="240" /></a></div><br />They could not believe that I took pictures! Not a single student in any class noticed I was taking pictures. Not even in a class of 5! They have already asked to do it again. My best group made it all the way to 91 and two groups made it to the 80's. We reviewed the group work strategies and from there we went to Sarah's <a href="http://mathequalslove.blogspot.com/2016/07/broken-circles-planning-for-day-1.html">Broken Circle</a> task. This only took 2-3 minutes since my students were in groups of 3. We finished the day by <a href="http://misscalculate.blogspot.com/2014/08/day-5-7-interactive-notebook-setup-and.html">setting up our INBs</a>.<br /><b><br /></b><b>Thursday</b><br />Thursday are my designated day for number talks and it started out rough. Read more <a href="http://misscalculate.blogspot.com/2016/08/my-first-number-talks.html">here</a>. We again used Google Classroom to open a pdf of my syllabus. I tried Brigid's idea of doodle notes using this <a href="https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0ahUKEwigrJHYw9HOAhUI7B4KHXKZAuIQFggeMAA&url=http%3A%2F%2Fwww.mathgiraffe.com%2Fblog%2Fsyllabus-for-math-class-doodle-style-free-printable&usg=AFQjCNEn3TUTQScqITg4JIXo_zPWhaS7NA&sig2=Yt4GU0XGLYXP6ToY9Ymmcw">doodle syllabus</a>. I still have mixed feelings about this. My artistic students really appreciated it. The students did agree that taking notes from the pdf was better than listening to me talk the whole time. But most of these students have had me for years and know my policies and procedures. More than one person asked why we were doing this and most people didn't even get it finished in a class period because they spent so much time doing what I asked...doodling! I can see it working much better in a lecture heavy class but thankfully, I am heading in the opposite direction of that.<br /><b><br /></b><b>Friday</b><br />We ended the week by taking our end of course exam which will be given again in December and May. I spent my time making answer keys and updating my spreadsheet data.<br /><br />Comparing the first administration last year to this year<br /><br />Algebra I 15% to 24%<br />Geometry 18% to 20%<br />Algebra II 16.5% to 24%<br />Trig 30% to 19%<br /><br />I'm using new exams except for Trig so those numbers basically mean nothing but I like that they are moving up. Except what the heck happened in trig?<br /><br />I'm so glad that thanks to my blog, I have a record of everything I've tried during the first days of school. If you teach in a small school, you know you can't repeat activities until four years have passed. Check out my <a href="http://misscalculate.blogspot.com/search/label/First%20Days">first days tag</a> if you need more ideas!<br /><br />Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-35038556011193165132016-08-19T22:09:00.001-05:002016-08-20T22:06:13.736-05:00My First Number Talk<div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><span style="text-align: left;">I was inspired by </span><a href="https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0ahUKEwiK9Mbq_87OAhUH7B4KHSgVDtEQFggeMAA&url=https%3A%2F%2Fsaravanderwerf.com%2F2016%2F06%2F27%2Fsecondary-number-talks-ill-convince-you-with-ducks%2F&usg=AFQjCNH4PRx4zCXTs5vLhPgGkAxG1Ehhiw&sig2=OxNxnehW37F96-AD5pNHpw" style="text-align: left;">Sara Van Der Werf's post</a><span style="text-align: left;"> to finally start doing number talks. I haven't read any of the books yet so forgive me if I'm screwing this up.</span></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">It took me three days of number talks before I realized I should start saving these pictures.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">They are pretty terrible but I'd like to have a starting point to look back at.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">The first two days were counting items in a picture so when I threw this one at them, I realized maybe a fraction problem was not the best one to use first.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">We had a <i>rough</i> start but there was about one interesting answer per period so all was not lost.</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://4.bp.blogspot.com/-SPe70wB-fgs/V7fG99VT7cI/AAAAAAAAFSE/SWFYSsaeLgcz4By-DKvOD1j74Z1VbfTVwCLcB/s1600/10%2BNumber%2BTalks_1.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://4.bp.blogspot.com/-SPe70wB-fgs/V7fG99VT7cI/AAAAAAAAFSE/SWFYSsaeLgcz4By-DKvOD1j74Z1VbfTVwCLcB/s320/10%2BNumber%2BTalks_1.jpeg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-BpVRelL01dE/V7fG_WRisEI/AAAAAAAAFSI/t_9n-ZNoZlEJ3cJ7o0xE72s0sfm8u7ICQCLcB/s1600/10%2BNumber%2BTalks_4.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://2.bp.blogspot.com/-BpVRelL01dE/V7fG_WRisEI/AAAAAAAAFSI/t_9n-ZNoZlEJ3cJ7o0xE72s0sfm8u7ICQCLcB/s320/10%2BNumber%2BTalks_4.jpeg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-_t9N2A3tD8g/V7fHBGJZD0I/AAAAAAAAFSM/5U6luTi9gqcm-HxfPrqhGRknISMS5c2MACLcB/s1600/10%2BNumber%2BTalks_5.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://2.bp.blogspot.com/-_t9N2A3tD8g/V7fHBGJZD0I/AAAAAAAAFSM/5U6luTi9gqcm-HxfPrqhGRknISMS5c2MACLcB/s320/10%2BNumber%2BTalks_5.jpeg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-Hu16skRbBGM/V7fHCcvU_VI/AAAAAAAAFSQ/Z9D7gFkpexU7gzkDhLddJLNc9Q78j8ZrQCLcB/s1600/10%2BNumber%2BTalks_8.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="https://2.bp.blogspot.com/-Hu16skRbBGM/V7fHCcvU_VI/AAAAAAAAFSQ/Z9D7gFkpexU7gzkDhLddJLNc9Q78j8ZrQCLcB/s320/10%2BNumber%2BTalks_8.jpeg" width="320" /></a></div><br />A lot of them chose 5/8 because they said they learned that the smaller fractions are bigger pieces.<br /><br />I'm really trying to put the emphasis on how we are thinking about things over right answers.<br /><br />I also used <a href="https://saravanderwerf.com/2016/08/07/week-1-day-1-name-tents-with-feedback/">Sara's name tent idea</a> and more than one student wrote that they liked how we were learning about different ways to think and that they appreciate me letting them be creative.<br /><br />Be still my heart.<br /><br />It was much easier to get them to talk about counting dots and footballs but I'm not giving up!<br /><br />Suggestions appreciated.<br /><br /><br />Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com1tag:blogger.com,1999:blog-2467202639598238063.post-82178653277339957442016-08-18T22:27:00.001-05:002016-08-18T22:28:12.973-05:00Pharaohs<br /><div style="text-align: center;"><img src="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s320/blaugust.jpg" /></div><br />Things I want to instill in my students or that I hope they 'inherit' from me and my classroom!<br /><br />P-persistence. Let's get it right and get it done!<br /><br />H- happiness. I'm really working on two things: to operate out of love and to let life be on my lips. How can I speak life, love, and happiness each day to my 90 students?<br /><br />A- assertive. Learn the difference between aggressive and assertive. Know how and when to stand up for yourself and others. Learn how to not back down graciously.<br /><br />R- resilient. You wouldn't believe the things that four of my students in particular are facing this early in the school year. I hope they see in me the 'fighting spirit' to show up every day and do hard work well.<br /><br />A- attitude. As we learn together about growth mindset, I want to teach them the importance of their attitude and how it sets the tone of each day and the future.<br /><br />O- original. I think I am pretty good at standing out and being unique. Hopefully my students take away that it is okay to have strong passions and interests and to put them on display.<br /><br />H- honor. I'm trying my best to start off honoring the different ways of thinking my students have, honoring their identity by asking them to share it, and honoring the important of our relationship by building it.<br /><br />S- spirit. Take pride in who you are and where you are from. If it's not the best place, then try making it better. Give back. Be successful and share how you got there.<br /><br />Pharaoh Pride!Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-30348595798395846172016-08-12T23:43:00.000-05:002016-08-13T00:43:40.109-05:00Back to School! Year 8<br />I don't count today as our first day because I only saw my kids for five minutes per period. But this was one of the best starts we've had and an all around positive day so you know I have to share.<br /><br />The day started with the Principal giving updates to the students for about 20 minutes. Then students were released to their classes for 5 minutes each.<br /><br />This was enough time for me to have students write down their birthdays and favorite candy. I gave them an address label with my Remind number and code. I asked them to get composition notebooks and then I said good-bye!<br /><br />I asked my freshman class how many of them liked math and none of them raised their hand. I !asked them how many were good at math but didn't like it. No one. I asked them if we could all agree to think positive and that this is going to be a good year of math class. All smiles and head nods. So now it is my personal mission to ask that question at the end of the year and have a majority of the hands go up.<br /><br />We rotated through all of our classes and then around 9:30 we went to the gym. A student group had some cute games planned but it wasn't super organized. Middle school students had a blast and most of the high school sat on the bleachers and talked. We were there until lunch at 11:30 which was a little long considering we are having air conditioner problems but I made my way around talking to students.<br /><br />It just felt so nice to be reminded of relationships I've been building for years and the comfort of being surrounded by students I know and I like. I have no classes I'm dreading this year. I spent most of the day smiling and chatting with students and that was just enjoyable!<br /><br />We had a 12:00 dismissal and then a Google training from 12:30-2:30 which means we also had an hour lunch.<br /><br />I really love having Back to School night on Thursday and an early dismissal Friday.<br /><br />Have a great weekend!Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-19580396868783530732016-08-11T23:45:00.000-05:002016-08-12T13:39:29.559-05:00Back to School NightMy day did not start out very positive. Nobody likes their Teacher Institute to start with the principal reading a 22 point packet out loud word for word of new rules and expectations.<br /><br />But that is not what I came to write about.<br /><br />We revamped our Back to School Night and I really enjoyed it so I wanted to share with you. It started at 5:00 where students get their schedules in the lobby and sign up for door prizes. Then they travel around to each classroom and have their teachers sign their schedule. Showing your schedule with all the teacher signatures earned you ice cream in the cafeteria.<br /><br />Students were in the gym doing face painting and hosting sign up sheets for clubs. This was also the time for students to find their locker, test the lock, etc.<br /><br />In the library there were videos from last school year playing on a loop.<br /><br />At 6:30, everyone returns to the gym where the Principal speaks about announcements and updates.<br /><br />Then names were pulled for door prizes and that wrapped up the night!<br /><br />If only the air conditioning worked correctly...<br /><br />I was surprised to see a large group of people in the lobby at 5:00 on the dot.<br /><br />Only one student I talked to today told me they didn't like math!<br /><br />Our community 4H group donated Back to School baskets for us- so thoughtful!<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://3.bp.blogspot.com/-JaYiEEUicck/V64X2oCP4sI/AAAAAAAAFRs/fY--1GA13bYFjOAq5emvJDfiqatc8Y9OACLcB/s1600/IMG_6275.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://3.bp.blogspot.com/-JaYiEEUicck/V64X2oCP4sI/AAAAAAAAFRs/fY--1GA13bYFjOAq5emvJDfiqatc8Y9OACLcB/s320/IMG_6275.JPG" width="240" /></a></div><br /><br />I went home feeling energized which is a lot better than the day began.<br /><br />I can't explain the growth I've experienced since January...or why. But there has definitely been a shift. I have a lot of things to do and get ready still but I'm not overwhelmed. I'm going to take it a day at a time- and it's going to be fine! I'm doing good work. I'm also doing good work to sustain my energy levels. My students deserve the best Ms. Miller I can be right now- not the best Ms. Miller I will ever be.<br /><br />My motto for the year is 'Add good things to the pile- no more starting over!"<br /><br />Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com3tag:blogger.com,1999:blog-2467202639598238063.post-12123191639453906722016-08-10T23:59:00.000-05:002016-08-11T01:46:09.770-05:00August 10th, 2016 {A Day in the Life} #DITL<br />9:00 AM Woke up....second to last day to sleep in. =(<br /><br />10:15 AM Got to school to finish decorating my classroom. Tomorrow is a half day teacher institute from 1-5 and then Back to School Night from 5-7.<br /><br />Things I accomplished today:<br /><br /><ul><li>Cleaned all 6 carts and drawers and put new labels on each drawer (120 drawers)</li><li>Attached new labels inside plastic bins to put in the cart</li><li>Took my pentaminoes, tangrams, and counters into ziplock bags for each cart</li><li>Refilled the cart with supplies</li><li>Finished my Instagram/Milligram bulletin board</li><li>Decorated my door with my lovely chevron stickers</li><li>Rehung my chevron borders around each whiteboard (I'm never taking them down again!)</li><li>Cut out balloon and star shapes on our die cut machine for student birthdays</li><li>Printed out my Plicker cards</li><li>Took the chairs down</li><li>Printed new number placards for each group of desks</li><li>Took down streamers and paper lanterns that I didn't want anymore</li><li>Finished hanging my 'custom' wall clock</li><li>Changed three bags of trash</li><li>Swept the floor</li></ul><div>5:15 PM Got home and made dinner; changed clothes and went shopping</div><div><br /></div><div>Shopping included MORE classroom stuff:</div><div><ul><li>Wal-Mart: (plastic unit tubs, washi tape, air fresheners, and groceries)</li><li>Aldi (sugar and biscuits lol)</li><li>Walgreens (pictures for my bulletin board)</li><li>Hobby Lobby (light switch covers, silver hanging decorations, foam letters, scrapbook paper, poster board)</li><li>Dollar Tree (plastic bins and baby washcloths for dry erase markers)</li><li>Target (washi tape for binders)</li><li>Staples (my fave green Staedtler pencils)</li><li>Chinese food for a celebratory lunch tomorrow</li><li>Half price shakes at Sonic since I never ate lunch</li></ul><div>10:15 Then because I'm a crazy person I went BACK to school to finish some things so I won't be rushed tomorrow</div></div><div><br /></div><div><ul><li>Rehung my diploma frame that fell and broke</li><li>Hung up my pictures from Walgreens</li><li>Added the baby washcloths to their labeled white bins</li><li>Added scissors labels to their bins</li><li>Hung up the silver hanging decorations </li><li>Set up the air fresheners</li><li>Switched out the light switch cover</li><li>Put out my pencils in my pencil holder</li></ul><div>11:30 Finally home. Unload my crap and pick out my outfit for tomorrow. I always like to dress up more for Back to School Night since I look younger. Got everything ready for tomorrow because I hate mornings- even though I don't have to be at school until 1:00, I don't want to get up any earlier than 9:00 and I don't want to be rushed.</div></div><div><br /></div><div>And that's a normal day for me- I do crazy things at crazy times all in the name of creating!</div><div><br /></div><div>I got 12,354 steps today and walked 5.48 miles. I also drank 64 ounces of water.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-g5xMn0fn5gM/V6wcGAKjO0I/AAAAAAAAFQY/-Z5DQpIlV8oN1gqdx2cWdDLvxqBMHaUNwCLcB/s1600/IMG_6250.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://2.bp.blogspot.com/-g5xMn0fn5gM/V6wcGAKjO0I/AAAAAAAAFQY/-Z5DQpIlV8oN1gqdx2cWdDLvxqBMHaUNwCLcB/s400/IMG_6250.JPG" width="300" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-riLCgRkDNPs/V6wcAHSXElI/AAAAAAAAFQU/g-3IqDIZ2xoHfZW0WqouuQfAG5x-W1-cQCLcB/s1600/IMG_6252.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://2.bp.blogspot.com/-riLCgRkDNPs/V6wcAHSXElI/AAAAAAAAFQU/g-3IqDIZ2xoHfZW0WqouuQfAG5x-W1-cQCLcB/s400/IMG_6252.JPG" width="300" /></a></div><div style="text-align: center;"> <a href="https://1.bp.blogspot.com/-Ae3L9hPxc2U/V6wb96yPprI/AAAAAAAAFQQ/V_D8Ih0XfRQjUw1lqM99Yks7za7jHdIpgCLcB/s1600/IMG_6255.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" height="400" src="https://1.bp.blogspot.com/-Ae3L9hPxc2U/V6wb96yPprI/AAAAAAAAFQQ/V_D8Ih0XfRQjUw1lqM99Yks7za7jHdIpgCLcB/s400/IMG_6255.JPG" width="300" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-R4QHkGovINE/V6wcbiJ1IBI/AAAAAAAAFQc/qPrE7aDnajwEhIOjI4ah0SKwu74u0jYxwCLcB/s1600/IMG_6256.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://1.bp.blogspot.com/-R4QHkGovINE/V6wcbiJ1IBI/AAAAAAAAFQc/qPrE7aDnajwEhIOjI4ah0SKwu74u0jYxwCLcB/s400/IMG_6256.JPG" width="300" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://4.bp.blogspot.com/-Y2tnHna_7pU/V6wchCyaV6I/AAAAAAAAFQg/awKIfPFR9-YsSNEhgiS-6JlBGRed8sSGwCLcB/s1600/IMG_6257.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://4.bp.blogspot.com/-Y2tnHna_7pU/V6wchCyaV6I/AAAAAAAAFQg/awKIfPFR9-YsSNEhgiS-6JlBGRed8sSGwCLcB/s400/IMG_6257.JPG" width="300" /></a></div><br /><div class="separator" style="clear: both; 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margin-right: 1em;"><img border="0" height="400" src="https://4.bp.blogspot.com/-itUVPmDYhnA/V6wdgTPRNsI/AAAAAAAAFQ8/tnmp_BuAc4QDgFmw0bq7PKAOSkzfQxk0ACLcB/s400/IMG_6260.JPG" width="300" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-fNCwZSvX7Pk/V6wddMKDWyI/AAAAAAAAFQ4/A3uBFUMKe2EDv4YXXY5cqhXrVrDbxJX7ACLcB/s1600/IMG_6261.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://1.bp.blogspot.com/-fNCwZSvX7Pk/V6wddMKDWyI/AAAAAAAAFQ4/A3uBFUMKe2EDv4YXXY5cqhXrVrDbxJX7ACLcB/s400/IMG_6261.JPG" width="300" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-SQqR5Jfvdi8/V6wd4XFgCKI/AAAAAAAAFRE/AXV2lbxIkBoENo6mmzjY7xEFBwsm-9pnACLcB/s1600/IMG_6262.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://1.bp.blogspot.com/-SQqR5Jfvdi8/V6wd4XFgCKI/AAAAAAAAFRE/AXV2lbxIkBoENo6mmzjY7xEFBwsm-9pnACLcB/s400/IMG_6262.JPG" width="300" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-_tPqrJWLpP4/V6wd_71Ms5I/AAAAAAAAFRM/KcoqFo8wFsEVCDRtOA3XQ7WnkWZpfdqRgCLcB/s1600/IMG_6263.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://1.bp.blogspot.com/-_tPqrJWLpP4/V6wd_71Ms5I/AAAAAAAAFRM/KcoqFo8wFsEVCDRtOA3XQ7WnkWZpfdqRgCLcB/s400/IMG_6263.JPG" width="300" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://4.bp.blogspot.com/-cdYgVwou6rM/V6wd9YXtBCI/AAAAAAAAFRI/Wdgnu8VkUxYWGBPFsMiJ1Qnj-hB-mEs-gCLcB/s1600/IMG_6264.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://4.bp.blogspot.com/-cdYgVwou6rM/V6wd9YXtBCI/AAAAAAAAFRI/Wdgnu8VkUxYWGBPFsMiJ1Qnj-hB-mEs-gCLcB/s400/IMG_6264.JPG" width="300" /></a></div><br /><div><br /></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com4tag:blogger.com,1999:blog-2467202639598238063.post-28209349511913523842016-08-09T23:13:00.002-05:002016-08-09T23:13:24.317-05:00How To...Teacher Assessment<i style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-align: center;">In my own personal effort to #ExpandMTBoS, I'm starting a new category of blog posts called 'How To' so I can share the strategies behind the resource. I hope new and veteran teachers alike can find something useful. Click on the <a href="http://misscalculate.blogspot.com/search/label/How%20To" style="color: #741b47; text-decoration: none;">tag</a> to the right for more posts!</i><br /><div><div style="text-align: center;"><span style="color: #666666; font-family: "neucha";"><span style="font-size: 15.84px; line-height: 22.176px;"><i><br /></i></span></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s1600/blaugust.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="105" src="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s320/blaugust.jpg" width="320" /></a></div>Again, let me just say that assessment is not something I claim to be any type of expert at. I steal most of my assessments/questions, I don't feel great about the way I grade, etc etc.<br /><br />But the least I can do is try new things and talk about them.<br /><br />So here goes!<br /><br /></div><br /><ul><li><b>Class Discussion:</b> This doesn't happen often or well in my classes, tbh. Mostly students asking me questions and me asking them questions- not much 'discussing'. I really like the idea of using controversial words like always, sometimes, never, best, and worst to spark debate among students. That feels like something I can try.</li><li><b><a href="http://desmos.com/">Desmos</a>:</b> So far I've only used activity builder for some investigations but it's great for formative assessment because I can see all student responses at the same time or individually.</li><li><b>Feedback Quiz</b>: <a href="http://misscalculate.blogspot.com/2015/07/tmc15-feedback-quizzes.html">link here</a> </li><li><b><a href="https://kahoot.it/">Kahoot</a>:</b> Students LOVE Kahoot but unfortunately iPads don't. I've only used them for formative assessment, more like practice but they definitely inspire the kids to try harder. Time limits are the only drawback for me but I like that there are so many public Kahoots that I can use and that creating my own is easy. </li><li><b>Participation Quiz:</b> <a href="https://samjshah.com/2011/07/12/participation-quizzes/">link here</a> </li><li><b><a href="https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0ahUKEwi7_dfX_LXOAhVoJcAKHdimAhgQFggeMAA&url=https%3A%2F%2Fplickers.com%2F&usg=AFQjCNHejsr59XgNV930brkdRF43xJowXA&sig2=RJ0tP-fULTY3RUIvHrqzig">Plickers</a></b>: The students also LOVE plickers and they always point out to me that we didn't used them enough...like once or twice a year. But behold, thanks to <a href="https://twitter.com/jschool0218">Jonathan Schoolcraft</a>, we will now use them EVERY Friday for <a href="http://wodb.ca/">Which One Doesn't Belong</a>. Hooray!</li><li><b>Quiz</b>: Just your standard quiz. I quiz over every concept but considering combining 2-3 concepts per quiz. Although I always have less grades in the gradebook than anyone else considering I only grade quizzes and tests. Hmm...</li><li><b>Self-Check Quiz</b>: <a href="https://noschese180.wordpress.com/2011/10/07/day-22-quiz-day/">link here</a>; I read about this years ago and it seems to fit feek with self-quizzing concepts mentioned in <a href="http://misscalculate.blogspot.com/2016/07/tmc16-make-it-stick-applications-in.html">Make It Stick</a>.</li><li><b>Unit Test:</b> enough said</li><li><b>Whiteboard Practice:</b> I mostly use this in my smaller classes which is not awesome but there is something magical about it; students just automatically teach each other or self-correct which is great formative assessment</li></ul>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-78879746035201921602016-08-08T23:30:00.001-05:002016-08-09T01:32:29.980-05:00How To...Self and Peer Assessment<i style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-align: center;">In my own personal effort to #ExpandMTBoS, I'm starting a new category of blog posts called 'How To' so I can share the strategies behind the resource. I hope new and veteran teachers alike can find something useful. Click on the <a href="http://misscalculate.blogspot.com/search/label/How%20To" style="color: #741b47; text-decoration: none;">tag</a> to the right for more posts!</i><br /><br /><div class="separator" style="background-color: white; clear: both; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-align: center;"><a href="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s1600/blaugust.jpg" imageanchor="1" style="color: #741b47; margin-left: 1em; margin-right: 1em; text-decoration: none;"><img border="0" height="105" src="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s320/blaugust.jpg" style="border: none; position: relative;" width="320" /></a></div><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;">Thanks to </span><a href="https://mathbythemountain.wordpress.com/" style="background-color: white; font-family: neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">mathbythemountain</a><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"> for suggesting this post; after </span><a href="http://misscalculate.blogspot.com/2016/08/how-tocreate-pacing-guide.html" style="background-color: white; font-family: neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">my last post</a><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;">, she asked me to explain each activity.</span><br /><br style="background-color: white; font-family: neucha; font-size: 15.84px; line-height: 22.176px;" /><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;">So here goes! Let me first say....I haven't done any of these and some of them I just learned about this summer.</span><br /><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><b><br /></b></span><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><b>Self-Assessment:</b></span><br /><ul><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>Brain dump:</b> <a href="http://www.ericaleebeaton.com/how-to-download-and-do-a-brain-dump/">link here</a>; although it's pretty self-explanatory. I'm thinking of doing this for the first five minutes of <a href="http://misscalculate.blogspot.com/2016/05/mtbos30-study-guide-day.html">study guide day</a></span></span></li><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>Circle Graph Reflection:</b> blogged about <a href="http://misscalculate.blogspot.com/2016/07/inb-goodies.html">here</a> with an INB download</span></span></li><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>End of unit summary INB sheet:</b> <span style="font-size: 15.84px; line-height: 22.176px;">blogged about </span><a href="http://misscalculate.blogspot.com/2016/07/inb-goodies.html" style="font-size: 15.84px; line-height: 22.176px;">here</a><span style="font-size: 15.84px; line-height: 22.176px;"> with an INB download</span></span></span></li><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>Reflection question on quiz/</b></span><span style="background-color: transparent;"><b>test:</b> inspired by Pam Wilson and mentioned in my "Make it Stick" <a href="http://misscalculate.blogspot.com/2016/07/tmc16-make-it-stick-applications-in.html">post</a>, I also read about this in Mathematical Mindsets. Seems really easy to implement and useful for both students and me, and apparently students can be very accurate at it.</span></span></li><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>Rubric:</b> this is pretty generic and I don't have any examples to share but it could be used for any assessment or project</span></span></li></ul><ul></ul><div><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><b><br /></b></span><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><b>Peer-Assessment:</b></span></div><div><ul><li><b>Nominations:</b> <a href="http://misscalculate.blogspot.com/2016/07/tmc16-my-favorites.html">link here</a></li><li><b>Rubric:</b> same as above</li><li><b>Two Stars and a Wish:</b> <a href="https://www.nwea.org/blog/2012/classroom-techniques-formative-assessment-idea-number-six/">link here</a></li></ul><div><br />I'm obviously weak in both of these areas. Do you have ideas to add to this?</div><div><br /></div></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-31481903709086765872016-08-08T23:30:00.000-05:002016-08-09T01:32:02.653-05:00How To...Self and Peer Assessment<i style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-align: center;">In my own personal effort to #ExpandMTBoS, I'm starting a new category of blog posts called 'How To' so I can share the strategies behind the resource. I hope new and veteran teachers alike can find something useful. Click on the <a href="http://misscalculate.blogspot.com/search/label/How%20To" style="color: #741b47; text-decoration: none;">tag</a> to the right for more posts!</i><br /><br /><div class="separator" style="background-color: white; clear: both; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-align: center;"><a href="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s1600/blaugust.jpg" imageanchor="1" style="color: #741b47; margin-left: 1em; margin-right: 1em; text-decoration: none;"><img border="0" height="105" src="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s320/blaugust.jpg" style="border: none; position: relative;" width="320" /></a></div><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;">Thanks to </span><a href="https://mathbythemountain.wordpress.com/" style="background-color: white; font-family: neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">mathbythemountain</a><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"> for suggesting this post; after </span><a href="http://misscalculate.blogspot.com/2016/08/how-tocreate-pacing-guide.html" style="background-color: white; font-family: neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">my last post</a><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;">, she asked me to explain each activity.</span><br /><br style="background-color: white; font-family: neucha; font-size: 15.84px; line-height: 22.176px;" /><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;">So here goes! Let me first say....I haven't done any of these and some of them I just learned about this summer.</span><br /><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><b><br /></b></span><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><b>Self-Assessment:</b></span><br /><ul><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>Brain dump:</b> <a href="http://www.ericaleebeaton.com/how-to-download-and-do-a-brain-dump/">link here</a>; although it's pretty self-explanatory. I'm thinking of doing this for the first five minutes of <a href="http://misscalculate.blogspot.com/2016/05/mtbos30-study-guide-day.html">study guide day</a></span></span></li><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>Circle Graph Reflection:</b> blogged about <a href="http://misscalculate.blogspot.com/2016/07/inb-goodies.html">here</a> with an INB download</span></span></li><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>End of unit summary INB sheet:</b> <span style="font-size: 15.84px; line-height: 22.176px;">blogged about </span><a href="http://misscalculate.blogspot.com/2016/07/inb-goodies.html" style="font-size: 15.84px; line-height: 22.176px;">here</a><span style="font-size: 15.84px; line-height: 22.176px;"> with an INB download</span></span></span></li><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>Reflection question on quiz/</b></span><span style="background-color: transparent;"><b>test:</b> inspired by Pam Wilson and mentioned in my "Make it Stick" <a href="http://misscalculate.blogspot.com/2016/07/tmc16-make-it-stick-applications-in.html">post</a>, I also read about this in Mathematical Mindsets. Seems really easy to implement and useful for both students and me, and apparently students can be very accurate at it.</span></span></li><li><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><span style="background-color: transparent;"><b>Rubric:</b> this is pretty generic and I don't have any examples to share but it could be used for any assessment or project<br /></span></span></li></ul><ul></ul><div><span style="background-color: white; font-family: "neucha"; font-size: 15.84px; line-height: 22.176px;"><b>Peer-Assessment:</b></span></div><div><ul><li><b>Nominations:</b> <a href="http://misscalculate.blogspot.com/2016/07/tmc16-my-favorites.html">link here</a></li><li><b>Rubric:</b> same as above</li><li><b>Two Stars and a Wish:</b> <a href="https://www.nwea.org/blog/2012/classroom-techniques-formative-assessment-idea-number-six/">link here</a></li></ul><div>I'm obviously weak in both of these areas. Do you have ideas to add to this?</div><div><br /></div></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-62739261893941133952016-08-07T23:27:00.000-05:002016-08-08T01:28:47.157-05:00How To...Implement Activities<br /><i style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-align: center;">In my own personal effort to #ExpandMTBoS, I'm starting a new category of blog posts called 'How To' so I can share the strategies behind the resource. I hope new and veteran teachers alike can find something useful. Click on the <a href="http://misscalculate.blogspot.com/search/label/How%20To" style="color: #741b47; text-decoration: none;">tag</a> to the right for more posts!</i><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s1600/blaugust.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="105" src="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s320/blaugust.jpg" width="320" /></a></div><br />Thanks to <a href="https://mathbythemountain.wordpress.com/">mathbythemountain</a> for suggesting this post; after <a href="http://misscalculate.blogspot.com/2016/08/how-tocreate-pacing-guide.html">my last post</a>, she asked me to explain each activity.<br /><br />So here goes!<br /><br /><b>Activities:</b><br /><ul><li><b>Dry Erase Practice:</b> my students can write on their desks with dry erase markers so I guess you could just call this desk practice. If I have problems prepared, then they work it on the desk and I show the answer. If I don't, then I walk around and look at their work, Or both.</li><li><b>Task Cards:</b> these are kind of popular now but basically they are problems printed individually on cardstock. I set them on the whiteboard ledge and students or groups come get one card and work it and then return it. Each group should only have one card. Sometimes the cards have answers on them so they can self-check. Sometimes I walk around with an answer key.</li><li><b>Investigation:</b> for me, this is basically a scaffolded activity that leads them through new instruction. It usually involves a lot of questions, maybe some color coding, maybe some matching, sorting, or calculator directions.</li><li><b><a href="http://desmos.com/">Desmos:</a></b> So far I have only used Activity Builder, which is amazing, but over the summer they introduced marble slides and card sorts so I can't wait to use those. Desmos is also great for verifying things with graphs, showing visuals, and introducing transformations.</li><li><b>Card Sort:</b> these are my favorite of all time and I plan on blogging a 'how to' post about creating them. Basically, if there is something you know students mix up or something they never notice, make a card sort out of it. Ask them to sort the pieces into groups and explain how they sorted. Then give them hints until they find it such as: you should have four groups, each group should have the same amount, etc. SO much more meaningful than you just telling students to look for or pay attention to something- let them discover it on their own.</li><li><b>Grudge Ball:</b> <a href="https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0ahUKEwih8dzzkrHOAhXJ54MKHR8lCMQQFgghMAA&url=http%3A%2F%2Ftoengagethemall.blogspot.com%2F2013%2F02%2Fgrudgeball-review-game-where-kids-attack.html&usg=AFQjCNFyHWuJ4FXm6bwfEoDYoJcIB58A6w&sig2=219de_axYLJ6pVah2lwXng">link here</a> </li><li><b>Row Game:</b> <a href="http://function-of-time.blogspot.com/2009/10/row-game.html">link here</a> </li><li><b>Four in a Row:</b> <a href="http://mathequalslove.blogspot.com/2016/01/quick-and-easy-review-games.html">link here</a></li><li>Triples: usually a set of 15 problems, students in pairs/groups work them out and then at the end they sort into 5 groups of 3 that have the same answer. If they can't find three cards with the same answer, they work together to find their mistakes</li></ul><div><b><br /></b><b>Activities that Involve Movement:</b></div><div><ul><li><b>Chalk Talk:</b> <a href="https://pamjwilson.wordpress.com/2013/03/29/chalk-talk-part-1-makthinkvis/">link here</a></li><li><b>Centers/Stations: </b>students rotate to stations that focus on different topics; answer key to previous station provided after rotating; usually used to review.</li><li><b>Cornhole Review:</b> <a href="http://www.mathgiraffe.com/blog/review-strategies-games">link here</a> </li><li>Gallery Walk: <a href="https://pamjwilson.wordpress.com/2014/04/01/gallery-walk-ppschat-challenge/">link here</a></li><li>Hedbanz: <a href="https://samjshah.com/2014/07/29/rational-function-headbandz/">link here</a> </li><li>Pong Review: <a href="http://misscalculate.blogspot.com/2011/03/fish-pong-review-game.html">link here</a></li><li>Scavenger Hunt: <a href="http://everybodyisageniusblog.blogspot.com/2012/09/math-scavenger-hunt.html">link here</a> </li><li>Speed Dating: <a href="http://function-of-time.blogspot.com/2009/10/speed-dating.html">link here</a></li><li>Trashketball: tape a line on the floor some distance away from the trash can and set out a ream of paper. Students work in groups, everyone works the problem, the group answer that is correct sends one person to shoot. Make up your own rules. I put tape for 2 and 3 pointers. If they don't get the problem correct then they don't get to shoot.</li><li>Vertical Whiteboards: <a href="https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0ahUKEwi50rbFlbHOAhUs5oMKHaoIDwIQFggeMAA&url=http%3A%2F%2Fslamdunkmath.blogspot.com%2F2014%2F08%2Fvertical-non-permanent-surfaces-and.html&usg=AFQjCNFLz3IHB86qi8uT2m64J-UXVrdajg&sig2=FnRIK2XZY97TGy8iA2SRwg">link here</a></li></ul><div><br />Next up I will explain the assessments mentioned in my <a href="http://misscalculate.blogspot.com/2016/08/how-tocreate-pacing-guide.html">previous post</a>. Thanks again Audrey!</div><div><br /></div></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com2tag:blogger.com,1999:blog-2467202639598238063.post-7928118468917653322016-08-06T23:55:00.000-05:002016-08-07T00:19:39.425-05:00How To...Create a Pacing Guide<div style="text-align: center;"><i><br />In my own personal effort to #ExpandMTBoS, I'm starting a new category of blog posts called 'How To' so I can share the strategies behind the resource. I hope new and veteran teachers alike can find something useful. Click on the <a href="http://misscalculate.blogspot.com/search/label/How%20To">tag</a> to the right for more posts!</i></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s1600/blaugust.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="105" src="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s320/blaugust.jpg" width="320" /></a></div><br />I'm not going to claim to be an expert in any of these '<a href="http://misscalculate.blogspot.com/search/label/How%20To">how to</a>' posts but I've made quite a few pacing guides and I can at least explain my thinking behind it.<br /><br />Here is my Algebra I rough draft. Look at it first so that I can break down each decision.<br /><br /><center><iframe allowfullscreen="" frameborder="0" height="400" msallowfullscreen="" src="https://app.box.com/embed/preview/3o2y7h4dw3zhh1b4iqdjkp2dc0tppawp?direction=ASC&theme=dark" webkitallowfullscreen="" width="450"> </iframe></center><br /><br />First of all, I want a clear list of topics that I plan on teaching. I want those nestled inside cozy little units. I want a specific number of units that spans the course of a year.<br /><br />I want these things so I can break them down into small, manageable chunks. I will be starting my eighth year of teaching and to be honest, I usually get about halfway through my pacing guide. That's pretty terrible.<br /><br />I've just decided: no more starting over!!! I want to focus on adding.<br /><br />I've started with Algebra I. There are 12 units...which means 3 units per quarter which means 3 weeks per unit. I have 6 or less skills per unit which means 2 skills per week. This is the goal I'm shooting for while knowing that some units will go faster or slower than I predict, the weather will mess up my good intentions several times, and instead of getting upset, I will focus on getting farther and farther along in my pacing guide each year.<br /><br />I also align my pacing guide to the final exam or end of course exam. This means that next to each skill, I put the question number from the exam that corresponds to that skill. This way at the end of the year, I have a list of each question that students *should* be able to do (since I never get through everything).<br /><br />This year I added activity structures to check off, mainly because I want to see how often I use certain activities and I want to make sure I include movement more often.<br /><br />I also included the mathematical practices because I've never done a good job at focusing on them.<br /><br />Reflection, seld-assessment, and peer-assessment came up a lot in my reading and at TMC this year so I added those sections as well. As you can see, this is a weakness of mine since I have very few ideas to attempt.<br /><br />I put a 'notes' section at the bottom because I'm trying to get better at reflecting.<br /><br />For next year, I would like to add vocabulary words, good questions, and prerequisite skills. I will try to add those things along the way so that next year: no more starting over! Hopefully I will remember to update this post in the next month or so with *this year's* final draft.<br /><br />Oh, and the color strip at the top of each page will be color coded for each course and to that course's INB...of course.<br /><br />This will also be a great tool to include in my teacher evaluation binder!<br /><br />What else would you include in a pacing guide that will help you focus? What are some of your favorite strategies for self and peer assessment?<br /><br />Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com8tag:blogger.com,1999:blog-2467202639598238063.post-61386639728712700442016-08-05T18:38:00.002-05:002016-08-05T18:38:25.847-05:00Classroom Instruction from A to Z<div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s1600/blaugust.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="105" src="https://2.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/iboq_-my2qkSQ9kuTLUQNpQf-HFTLqsIwCPcB/s320/blaugust.jpg" width="320" /></a></div><br /><a href="https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0ahUKEwj31tj1s6vOAhUp2oMKHT1tDQoQFggeMAA&url=https%3A%2F%2Fwww.amazon.com%2FClassroom-Instruction-Barbara-R-Blackburn%2Fdp%2F159667038X&usg=AFQjCNH_37ttQ2h0v71pHPp8m8-sewV4Zw&sig2=tRE-0dcE8mOkWVQQUVCPMw">Classroom Instruction from A to Z</a><br />Barbara Blackburn<br /><br />It isn't the strategy- it's how you use the strategy that makes a difference.<br /><br />My goal is to give them information and let them internalize and give it back; not just force-fed info and make them regurgitate it. I want to give them an opportunity to internalize and express [their learning].<br /><br />If they are allowed to choose how they will show that they understand the content, many students will invest more time and effort in the task.<br /><br />Start with one idea and build on your success.<br /><br />"Learning and teaching is messy stuff. It doesn't fit into bubbles." -Michele Forman<br /><br />Think of data analysis like a triangle: classroom performance and standardized test scores should be evaluated together with a third data point, your teacher judgment.<br /><br />Data shouldn't replace your judgment; it should help you make decisions.<br /><br />Our students are not in their final state when we are teaching them.<br /><br />The word <i>but</i> can serve as a red light or a stop sign for progress, The word <i>and</i> is like a green light.<br /><br />Your language reflects your beliefs, and your students follow your model. If they hear you using words as an excuse, so will they.<br /><br />Give students your BEST: belief, encouragement, support, time<br /><br />Many students do not have a vision of anything more than where they are right now. You can help them create a vision for themselves through your words, actions, and activities so they they support each other.<br /><br />"Students learn over half of what they know from visual images." -Mary Alice White<br /><br />If your form of delivery isn't working, then find a different way to deliver it.<br /><br />Rigor is not just about difficulty. Rigor is also about helping out students learn to critically think about their learning.<br /><br />Complexity isn't about doing more work, it's about doing less drill and practice and more higher-level thinking activities.<br /><br />Allowing students to take a zero reflects lowered expectations. It permits a student to get by without actually doing the work and says to the student, "You don't have to learn this."<br /><br />Less is more. Give students small amounts of focused work that requires them to apply knowledge and evaluate information.<br /><br />Our mode of instruction says, "Trust me. I know where we are going, so you don't need to." But students don't always respond positively to that approach.<br /><br />Effective homework can be completed independently with minimal and appropriate support. If the assignment is too difficult, students are more likely to ask someone else to complete it for them.<br /><br />"The test of a good teacher is not how many questions he can ask his pupils that they will answer readily, but how many questions he inspires them to ask him which he finds it hard to answer." -Alice Wellington Rollins<br /><br />As you create questions for your students, remember to build in questions that are open ended, those that have more than one answer.<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://3.bp.blogspot.com/-fm-T8IX2z3Q/V6UjZJ6tMhI/AAAAAAAAFP8/n4KZE4PeB9cU8BvThKUsMtUTYFu4oD9fQCLcB/s1600/Qumaker.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="223" src="https://3.bp.blogspot.com/-fm-T8IX2z3Q/V6UjZJ6tMhI/AAAAAAAAFP8/n4KZE4PeB9cU8BvThKUsMtUTYFu4oD9fQCLcB/s320/Qumaker.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">There are three types of reflection for students: reflecting on what they have learned, reflecting on how they learn, and reflecting on their progress.</div><div class="separator" style="clear: both; text-align: left;"><br /></div>Checking Prior Knowledge- First, she gives students three minutes to answer a short true/false questionnaire. Next, in pairs, students compare responses and use the textbook to check their answers. Each set of partners must rewrite any false statements so that they are true. She ends with a whole class discussion to ensure understanding.<br /><br />During "Three Alike", she writes three words on the board or overhead projector. Students then have to explain what the words have in common.<br /><br />I shuffle playing cards and each student takes one. While they are taking their cards, I make up the rules. Find your group by matching either the suit, the number, or picture. I prepare the deck ahead of time so that I will have the correct number of cards that will create the desired number of groups.<br /><br />Just because we do something a lot doesn't mean it works.Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com2tag:blogger.com,1999:blog-2467202639598238063.post-32568862661622287682016-08-04T08:25:00.000-05:002016-08-07T00:20:29.667-05:00How To...Mathematical Mindsets: How Do I Start?<i style="text-align: center;"><br />In my own personal effort to #ExpandMTBoS, I'm starting a new category of blog posts called 'How To' so I can share the strategies behind the resource. I hope new and veteran teachers alike can find something useful. Click on the <a href="http://misscalculate.blogspot.com/search/label/How%20To">tag</a> to the right for more posts!<br /></i><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://statteacher.blogspot.com/2016/07/mtbosblaugust-participating-blogs-2016.html"><img border="0" height="105" src="https://1.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/kxvDiiEC6RMqy7GgP2Xgnb29vbnDgYFRwCEw/s320/blaugust.jpg" width="320" /></a></div>If you're like me, the last five posts were probably overwhelming.<br /><br />Part 1 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-1.html">{here}</a><br />Part 2 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-2.html">{here}</a><br />Part 3<a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-3.html">{here}</a><br />Part 4 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-4.html">{here}</a><br />Part 5 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-5.html">{here}</a><br /><br /><a href="https://www.amazon.com/Mathematical-Mindsets-Unleashing-Potential-Innovative/dp/0470894520/ref=sr_1_1?ie=UTF8&qid=1469836771&sr=8-1&keywords=mathematical+mindsets">Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching</a><br />Jo Boaler<br /><br />There's a lot of things to change, fixm and improve. I tried to break this massive shift to my brain into categories of practical things to do.<br /><br />Easy: things I can do from day one this school year with no prep<br />Medium: things I can do in the next couple of months or with some prep<br />Hard: things to think about this year and plan to do over next summer<br /><br /><b><u>Easy</u></b><br /><ul><li>Ask students to think visually first</li><li>Ask students for the different ways they see and solve problems</li><li>Ask students to look for patterns, similarities, and differences</li><li>In every math conversation, ask students to reason, to explain why they chose particular methods and why they made sense.</li><li>Honor hard work and the struggle over effortless achievement</li><li>Think of all the ways to be mathematical. No one is good at all of these ways of working, but everyone is good at some of them.</li><li>Classroom mantra/poster: Always give help when needed, always ask for help when you need it.</li><li>Do not include early assignments {review?} from math class in the end-of-class grade .</li><li>Do not include homework, if given, as any part of grading.</li><li><div>Honor student thinking- say, "incorrect but helpful"-there is always some logic there.</div></li><li><div>When students want me to tell them how to do a problem say, "Do you want my brain to grow or do you want to grow your brain today?”</div></li><li><div>Praise people for having good thinking and for being accomplished, learned, hard working, and persistent; not being smart or fast or for effortless achievement</div></li><li><div>To take student thinking deeper say, "You may know a rule for solving this question, but the rule doesn't matter today, I want you to make sense of your answer, to explain why your solution makes sense."</div></li><li><div>Teachers can encourage students to use intuition with any math problem simply by asking them what they think would work, <i>before</i> they are taught a method.</div></li><li><div>Tell students, "I am not concerned about you finishing math problems quickly; what I really like to see is an interesting representation of ideas, or a creative method or solution."</div></li><li><div>Ask students to draw connections between concepts in mathematics when working on problems. Encourage students to propose different methods to solve problems and then ask them to draw connections between methods, discussing for example, how they are similar and different</div></li><li>Ask students to play the role of being the skeptic; explain that they need to <i>demand</i> to be fully convinced. Students really enjoy challenging each other for convincing reasons, and this helps them learn mathematical reasoning and proof. When students act as a skeptic, they get an opportunity to question other students without having to take on the role of someone who doesn't understand.</li><li><div>Offer all students high-level math content and believe they can do it</div></li><li>"One of the greatest gifts you can give to your students is your knowledge, ideas, and feedback on their mathematical development, when phrased positively and with growth messages".</li></ul><b><u>Medium</u></b><br /><br /><ul><li>For definitions, give nonexamples and barely examples instead of perfect examples</li><li>Introduce and build a growth mindset!</li><li>Introduce the headache before the aspirin</li><li>Replace class lectures with instructing reporters who go back and instruct their group.</li><li><div>Participation quizzes! {<a href="https://samjshah.com/2011/07/12/participation-quizzes/">Yay Sam!</a>}</div></li><li><div>Put student questions on posters,</div></li><li><div>Always allow students to resubmit any work or test for a higher grade {I already do quiz retakes but I let students use their notes on tests. Should still allow them to redo tests as well?}</div></li><li><div>Take students' ideas and make incorrect statements for the students to challenge</div></li><li><div>Instead of asking students to simplify ask students to find all the ways they can represent that are equivalent.</div></li><li><div>Tell students what they should know and let them reflect on how much of it they know. Frequently.</div></li><li><div>Self and peer-assessment {"Questions that ask students to think about errors or confusions are particularly helpful in encouraging students' self-reflection, and they will often result in the students' understanding the mathematics for the first time."}</div></li><li>Number Talks</li><li>Ask students to compare and choose methods to problem solve</li></ul><b><u>Hard</u></b><br /><ul><li>Grade multidimensionally</li><li>Give group tests and randomly choose one paper from the group to grade.</li><li>Learn more about Assessment for Learning, A4L</li><li>Do not use a 100-point scale.</li><li>Give diagnoistic comments instead of grades. "The students receiving comments learned twice as fast as the control group, the achievement gap between male and female students disappeared, and student attitudes improved."</li><li><div>Study after study shows that grading reduces the achievement of students. Share grades with school administrators but not with the students.</div></li><li><div>Give students rich mathematical tasks that are low floor, high ceiling</div></li><li>Open up the task so that there are multiple methods, pathways, and representations. </li><li>Include inquiry opportunities.</li></ul><br /><div>Do you feel better now, seeing that the easy section has the most things to do?<br /><br />Did you notice that most of them include the verbs ask, tell, show, say, show, think, honor, encourage? Those are all forms of talking and I don't know about you, but I am pretty dang good at that.<br /><br />Look how we can make great change with small changes in our words and demeanor. I am encouraged that there are so many positive things I can do for my students RIGHT AWAY.</div><br />Hooray.<br /><br />All day.<br /><br />Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com4tag:blogger.com,1999:blog-2467202639598238063.post-19120392620201639702016-08-03T11:25:00.000-05:002016-08-03T11:25:00.169-05:00Mathematical Mindsets: The Highlights {Part 5}<br /><div class="separator" style="clear: both; text-align: center;"><a href="http://statteacher.blogspot.com/2016/07/mtbosblaugust-participating-blogs-2016.html"><img border="0" height="105" src="https://1.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/kxvDiiEC6RMqy7GgP2Xgnb29vbnDgYFRwCEw/s320/blaugust.jpg" width="320" /></a></div>This book I would say has changed my thoughts on math, teaching, and teaching math more than any other I've read in my seven year career. I will recommend it and link it forever. I will have to post my highlighted notes from it in several posts because no one would ever scroll through all of it otherwise! There is just so much to process and that I will need to read over and over again- so many opportunities for growth and change!<br /><br />It's only $10.71 for the paperback and $7.99 for the Kindle version. You NEED this book. But until you get your own, this should be enough to make you want more.<br /><br />Enjoy!<br /><br />Part 1 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-1.html">{here}</a><br />Part 2 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-2.html">{here}</a><br />Part 3<a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-3.html">{here}</a><br />Part 4 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-4.html">{here}</a><br /><br /><a href="https://www.amazon.com/Mathematical-Mindsets-Unleashing-Potential-Innovative/dp/0470894520/ref=sr_1_1?ie=UTF8&qid=1469836771&sr=8-1&keywords=mathematical+mindsets">Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching</a><br />Jo Boaler<br /><br /><b><u>Chapter 9: Teaching Mathematics for a Growth Mindset</u></b><br /><br /><b style="background-color: yellow;">I believe in every one of them, that there is no such thing as a math brain or a math gene, and that I expect all of them to achieve at the highest levels. I love mistakes. Every time they make a mistake their brain grows. Failure and struggle do not mean that they cannot do math—these are the most important parts of math and learning. I don't value students' working quickly; I value their working in depth, creating interesting pathways and representations. I love student questions and will put these onto posters that I hang on the walls for the whole class to think about.</b><br /><br />Math is a very creative subject that is, at its core, about visualizing patterns and creating solution paths that others can see, discuss, and critique.<br /><br />To run a participation quiz, choose a task for students to work on in groups, then show them the ways of working that you value.<br /><br />Once you have shown these to students, you can start them working. As they work together in groups, walk around the room watching group behavior, writing down comments.<br /><br />As you circulate and take notes, quote students' actual words when they are noteworthy.<br /><br />But it is even more important to communicate positive beliefs and expectations to students who are slow, appear unmotivated, or struggle. <b style="background-color: yellow;">It is also important to realize that the speed at which students appear to grasp concepts is not indicative of their mathematics potential (Schwartz, 2001).</b><br /><br />The most productive classrooms are those in which students work on complex problems, are encouraged to take risks, and can struggle and fail and still feel good about working on hard problems.<br /><br />We must also resist valuing “effortless achievement”—praising students who are fast with math. Instead, <b style="background-color: yellow;">we should value persistence and hard thinking.</b><br /><br /><b style="background-color: yellow;">When students fail and struggle it does not mean anything about their math potential; it means that their brains are growing, synapses are firing, and new pathways are being developed that will make them stronger in the future.</b><br /><br />Instead of saying “You are so smart,” it is fine to say to students something like “It's great that you have learned that,” or “I love how you are thinking about the problem.”<br /><br />My undergraduates have really worked on this and now <b style="background-color: yellow;">praise people for having good thinking and for being accomplished, learned, hard working, and persistent.</b><br /><b style="background-color: yellow;"><br /></b><b style="background-color: yellow;">There is always some logic in students' thinking, and it is good to find it, not so that we avoid the “failure” idea, but so that we honor students' thinking.</b><br /><br />I recently read about a second-grade teacher, Nadia Boria, who offers this response to students when they ask for help: “Let's think about this for a minute. <b style="background-color: yellow;">Do you want my brain to grow or do you want to grow your brain today?</b>” (Frazier, 2015).<br /><br />Mathematics tasks should offer plenty of space for learning. Instead of requiring that students simply give an answer, they should give students the opportunity to explore, create, and grow.<br /><br />Open up math tasks:<br /><br /><ul><li>Instead of asking students to answer the question 1/2 divided by 1/4, ask them to make a conjecture about the answer to 1/2 divided by 1/4 and make sense of their answer, including a visual representation of the solution. As I described in Chapter Five , when Cathy Humphreys asked students to solve 1 ÷ 2/3 she started by saying, <b style="background-color: yellow;">“You may know a rule for solving this question, but the rule doesn't matter today, I want you to make sense of your answer, to explain why your solution makes sense.” </b></li><li>Instead of asking students to simplify 1/3(2x + 15) + 8, a common problem given in algebra class, <b style="background-color: yellow;">ask students to find all the ways they can represent that are equivalent.</b></li><li>Instead of asking students how many squares are in the 100th case, <span style="background-color: yellow;"><b>ask them how they see the pattern growing</b></span>, and to use that understanding to generalize to the 100th case</li></ul><br />Ask students to discuss:<br /><br /><ul><li>Ways of seeing the mathematics </li><li>Ways of representing ideas </li><li>The different pathways through the problem and strategies </li><li>The different methods used: “Why did you choose those methods? How do they work?”</li></ul><br />Encourage students to propose different methods to solve problems and then ask them to draw connections between methods, discussing for example, how they are similar and different or why one method may be used and not another. This could be done with methods used to solve number problems, such as those shown in Figure 5.1 , in Chapter Five .<br /><br />Ask students to draw connections between concepts in mathematics when working on problems.<br /><br />In my own teaching of mathematics, I encourage student creativity by posing interesting challenges and valuing students' thinking. <b style="background-color: yellow;">I tell students I am not concerned about their finishing math problems quickly; what I really like to see is an interesting representation of ideas, or a creative method or solution. When I introduce mathematics to students in this way, they always surprise me with their creative thinking.</b><br /><br /><b style="background-color: yellow;">Teachers can encourage students to use intuition with any math problem simply by asking them what they think would work, before they are taught a method.</b><br /><br /><b style="background-color: yellow;">The teacher provocatively took the students' ideas and made incorrect statements for the students to challenge, and the class considered together all of the possible relationships of angles that preserve the definitions.</b><br /><br />In the lesson in China, the teacher did not ask complete-this-sentence questions; she listened to students' ideas and made provocative statements in relation to their ideas that pushed forward their understanding. Her statements caused the students to respond with conjectures and reasons, thinking about the relationships between different angles.<br /><br />If you give students the opportunity to extend problems, they will almost always come up with creative and rich opportunities to explore mathematics in depth, and that is a very worthwhile thing for them to do.<br /><br /><b style="background-color: yellow;">He points out that students currently spend 80% of the time they spend in math classrooms performing calculations, when they should instead be working on the other three parts of mathematics—setting up models, refining them, and using them to solve real problems.</b><br /><br />In my own teaching experience, when I have asked students in classrooms to consider a situation and pose their own question, they have become instantly engaged, excited to draw on their own thinking and ideas. This is an idea for math classrooms that is very easy to implement and needs to be used only some of the time. Students should be able to experience this in school so that they are prepared to use it later in their mathematical lives.<br /><br />It is so important that employees describe their mathematical pathways to others, in teams, because others can then use those pathways in their own work and investigations and can also see if there are errors in thinking or logic. This is the core of mathematical work; it is called reasoning.<br /><br /><b style="background-color: yellow;">When students act as a skeptic, they get an opportunity to question other students without having to take on the role of someone who doesn't understand.</b>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com2tag:blogger.com,1999:blog-2467202639598238063.post-1966362185626865462016-08-02T11:01:00.000-05:002016-08-02T11:01:00.148-05:00Mathematical Mindsets: The Highlights {Part 4}<br /><div class="separator" style="clear: both; text-align: center;"><a href="http://statteacher.blogspot.com/2016/07/mtbosblaugust-participating-blogs-2016.html"><img border="0" height="105" src="https://1.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPw/kxvDiiEC6RMqy7GgP2Xgnb29vbnDgYFRwCEw/s320/blaugust.jpg" width="320" /></a></div>This book I would say has changed my thoughts on math, teaching, and teaching math more than any other I've read in my seven year career. I will recommend it and link it forever. I will have to post my highlighted notes from it in several posts because no one would ever scroll through all of it otherwise! There is just so much to process and that I will need to read over and over again- so many opportunities for growth and change!<br /><br />It's only $10.71 for the paperback and $7.99 for the Kindle version. You NEED this book. But until you get your own, this should be enough to make you want more.<br /><br />Enjoy!<br /><br />Part 1 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-1.html">{here}</a><br />Part 2 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-2.html">{here}</a><br />Part 3<a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-3.html">{here}</a><br /><br /><a href="https://www.amazon.com/Mathematical-Mindsets-Unleashing-Potential-Innovative/dp/0470894520/ref=sr_1_1?ie=UTF8&qid=1469836771&sr=8-1&keywords=mathematical+mindsets">Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching</a><br />Jo Boaler<br /><b><u><br /></u></b><b><u>Chapter 7: From Tracking to Growth Mindset Grouping</u></b><br /><br />The strong messages associated with tracking are harmful to students whether they go into the lowest or highest groups (Boaler, 1997; Boaler, 2013a; Boaler & Wiliam, 2001; Boaler, Wiliam, & Brown, 2001).<br /><br />In the Third International Mathematics and Science Study, for example, the United States was found to have the greatest variability in student achievement—that is, the most tracking. T<b style="background-color: yellow;">he country with the highest achievement was Korea, which was also the country with the least tracking</b> and the most equal achievement. The United States also had the strongest links between achievement and socioeconomic status, a result that has been attributed to tracking (Beaton & O'Dwyer, 2002). <b style="background-color: yellow;">Countries as different as Finland and China top the world in mathematics performance, and both countries reject ability grouping, teaching all students high-level content.</b><br /><br />They found that the students who worked without advanced classes took more advanced math, enjoyed math more, and passed the state test in New York a year earlier than students in tracks. Further, researchers showed that the advantages came across the achievement spectrum for low-and high-achieving students (Burris, Heubert, & Levin, 2006). These findings have been repeated in study after study (see, for example, Boaler, 2013b). <b style="background-color: yellow;">A substantial body of research points to the harmful effects of tracking, yet the practice is used in most schools across the country.</b><br /><br />Most of the unmotivated and bad behavior that happens in classrooms comes from students who do not believe that they can achieve.<br /><br />In all of my experience teaching heterogeneous groups of students, <b style="background-color: yellow;">I have found that when students start to believe they can achieve, and they understand that I believe in them, bad behavior and lack of motivation disappear.</b><br /><br />They discovered that when they gave open tasks, all students were interested, challenged, and supported. Over time the students they thought of as low-achieving started working at higher levels, and the classroom was not divided into students who could and students who could not; it was a place full of excited students learning together and helping each other.<br /><br />The choice or the challenge must always be available to all students.<br /><br />A one-dimensional math class, of which there are many in the United States, is one in which one practice valued above all others—usually that of executing procedures correctly.<br /><br />In a multidimensional math class, teachers think of all the ways to be mathematical. No one is good at all of these ways of working, but everyone is good at some of them.<br /><br />A stunning 97% of students from the traditional approach said the same thing: “Pay careful attention.” This is a passive learning act that is associated with low achievement (Bransford, Brown, & Cocking, 1999).<br /><br />In the Railside classes, when we asked students the same question, they came up with a range of ways of working, such as:<br /><br /><ul><li>Asking good questions </li><li>Rephrasing problems </li><li>Explaining </li><li>Using logic </li><li>Justifying methods </li><li>Using manipulatives </li><li>Connecting ideas </li><li>Helping others</li></ul><br />A student named Rico said in an interview, “Back in middle school the only thing you worked on was your math skills. But here you work socially and you also try to learn to help people and get help. Like you improve on your social skills, math skills, and logic skills” (Railside student, year 1).<br /><br />Another student, Jasmine, added, “With math you have to interact with everybody and talk to them and answer their questions. You can't be just like ‘Oh here's the book, look at the numbers and figure it out.’” When we asked, “Why is that different for math?” she said, “It's not just one way to do it. It's more interpretive. It's not just one answer. There's more than one way to get it. And then it's like: ‘Why does it work?’” (Railside student, year 1).<br /><br />A theme of the algebra course, and then later all the courses in the school, was multiple representations—students were frequently asked to represent their ideas in different ways, such as through words, graphs, tables, symbols, and diagrams. Students were also encouraged to color code, representing ideas in the same color—for example, using the same color for the x in an expression, diagram, graph, table, and paragraph (see Exhibit 7.4 ).<br /><br /><b style="background-color: yellow;">Many more students were successful because there were many more ways to be successful.</b><br /><br />Although the standardized state tests the students had to take under the State of California requirements did not value multidimensional mathematics, the students achieved at high levels because they had learned to be successful in class and to feel good about mathematics. They also approached the state tests as confident problem solvers willing to try any question.<br /><br />Students were able to get started through encouraging each other, rereading questions, and asking each other questions.<br /><br />What is the question asking us?<br />How could we rephrase this question?<br />What are the key parts of the problem?<br /><br />But teachers frequently need to inject a new piece of information or a new direction into the group work. In complex instruction, teachers do not try to do this by quieting the whole class. Instead, they call the recorder/reporters out to join the teacher for a huddle. The recorder/reporters meet as a group with the teacher, who can give information that each recorder/reporter takes back to the groups. This not only helps the teacher but also gives the students responsibility that is intrinsically valuable in helping them feel empowered mathematically.<br /><br />An interesting and subtle approach recommended in the complex instruction pedagogy is that of assigning competence . This practice involves teachers' raising the status of students who they think may be lower status in a group—by, for example, praising something they have said or done that has intellectual value, and bringing it to the group's or the whole class's attention. For example, teachers may ask a student to present an idea or publicly praise a student's work in a whole class setting.<br /><br />An activity I always like groups to work on before introducing any math work is to ask them to discuss together the things they do and don't like other group members to do and say when they are working in a group on math.<br /><br />I find that when students think for themselves about positive and negative group discussions and come up with their own lists, they are more thoughtful about the ways they interact in groups.<br /><br /><b style="background-color: yellow;">I also start classes by explaining to students what is important to me. I say that I do not value speed or people racing through math; I value people showing how they think about the math, and I like creative representations of ideas.</b><br /><br />Yet another way the Railside teachers encouraged group responsibility is a method that is shocking to some, but that really communicates the idea that group members are responsible for each other. Occasionally the teachers gave what they called “group tests.” Students would take the test individually, but the teachers would take in only one test paper per group (randomly chosen) and grade it. That grade would then be the grade for all the students in the group. This was a very clear communication to students that they needed to make sure all of their group members understood the mathematics.<br /><br /><b style="background-color: yellow;">As the approach they experienced became more multidimensional, they came to regard each other in more multidimensional ways, valuing the different ways of seeing and understanding mathematics that different students brought to problems.</b><br /><br />Many parents worry about high achievers in heterogeneous classes, thinking that low achievers will bring down their achievement, but this does not usually happen. High achievers are often high achievers in the U.S. system because they are procedurally fast. Often these students have not learned to think deeply about ideas, explain their work, or see mathematics from different perspectives because they have never been asked to do so. When they work in groups with different thinkers they are helped, both by going deeper and by having the opportunity to explain work, which deepens their understanding. Rather than groups being lowered by the presence of low achievers, group conversations rise to the level of the highest-thinking students. Neither the high nor the low achievers would be as helped if they were grouped only with similar achieving students.<br /><br />Two practices I have come to regard as particularly important in promoting equity, and that were central to the responsibility students showed for each other, are justification and reasoning.<br /><br />Always give help when needed, always ask for help when you need it.<br /><br /><b><u>Chapter 8: Assessment for a Growth Mindset</u></b><br /><br /><b style="background-color: yellow;">Students with no experience of examinations and tests can score at high levels because the most important preparation we can give students is a growth mindset, positive beliefs about their own ability, and problem-solving mathematical tools that they are prepared to use in any mathematical situation.</b><br /><br /><b style="background-color: yellow;">Study after study shows that grading reduces the achievement of students.</b><br /><br /><b style="background-color: yellow;">The students receiving comments learned twice as fast as the control group, the achievement gap between male and female students disappeared, and student attitudes improved.</b><br /><br />When we give assessments to students, we create an important opportunity. Well-crafted tasks and questions accompanied by clear feedback offer students a growth mindset pathway that helps them to know that they can learn to high levels and, critically, how they can get there.<br /><br />I have seen this shift happen with many teachers with whom I have worked. It comes about when teachers are treated as the professionals they are and are invited to use their own judgment, helped by research ideas, to create positive learning and assessment experiences for their students.<br /><br />He went on to describe how the valuing of different mathematics strategies allowed him to feel he could work with mathematics in any way he wanted, to explore ideas and learn about numbers.<br /><br />When students are given scores that tell them they rank below other students, they often give up on school, deciding that they will never be able to learn, and they take on the identity of an underperforming student.<br /><br />The grades and scores given to students who are high achieving are just as damaging. Students develop the idea that they are an “A student” and start on a precarious fixed mindset learning path that makes them avoid harder work or challenges for fear that they will lose their A label. Such students often are devastated if they get a B or lower, for any of their work.<br /><br />When students develop interest in the ideas they are learning, their motivation and their achievements increase.<br /><br />They found something amazing: a form of assessment so powerful that if teachers shifted their practices and used it, it would raise the achievement of a country, as measured in international studies, from the middle of the pack to a place in the top five.<br /><br />In A4L, students become knowledgeable about what they know, what they need to know, and ways to close the gap between the two. Students are given information about their flexible and growing learning pathways that contributes to their development of a growth mathematics mindset.<br /><br />One important principle of A4L is that it teaches students responsibility for their own learning.<br /><br />Assessment for learning can be thought of as having three parts: (1) clearly communicating to students what they have learned, (2) helping students become aware of where they are in their learning journey and where they need to reach, and (3) giving students information on ways to close the gap between where they are now and where they need to be (see Figure 8.3 ).<br /><br /><b style="background-color: yellow;">The researchers concluded that a large part of the students' previous low achievement came not from their purported lack of ability but from the fact that previously they had not known what they should really be focusing upon.</b><br /><b><span style="color: yellow;"><br /></span></b><b style="background-color: yellow;">The two main strategies for helping students become aware of the math they are learning and their broader learning pathways are self-and peer assessment.</b><br /><br />If students start each unit of work with clear statements about the mathematics they are going to learn, they start to focus on the bigger landscape of their learning journeys—they learn what is important, as well as what they need to work on to improve.<br /><br />Studies have found that when students are asked to rate their understanding of their work through self-assessment, they are incredibly accurate at assessing their own understanding, and they do not over-or underestimate it (Black et al., 2002).<br /><br /><b style="background-color: yellow;">In addition to receiving the criteria, students need to be given time to reflect upon their learning, which they can do during a lesson, at the end of a lesson, or even at home.</b><br /><br />Peer assessment is a similar strategy to self-assessment, as it also involves giving students clear criteria for assessment, but they use it to assess each other's work rather than their own. When students assess each other's work they gain additional opportunities to become aware of the mathematics they are learning and need to learn.<br /><b style="background-color: yellow;"><br /></b><b style="background-color: yellow;">P</b><b style="background-color: yellow;">eer assessment has been shown to be highly effective, in part because students are often much more open to hearing criticism or a suggestion for change from another student, and peers usually communicate in ways that are easily understood by each other.</b><br /><br /><span style="background-color: yellow;"><b>When students are given information that communicates clearly what they are learning, and they are asked, at frequent intervals, to reflect on their learning, they develop responsibility for their own learning.</b></span><br /><br />An effective way for students to become knowledgeable about the ideas they are learning is to provide some class time for reflection. Ask students at the end of a lesson to reflect using questions such as those in Exhibit 8.4.<br /><br />As I noted in Chapter Four, brain science tells us that the most powerful learning occurs when we use different pathways in the brain.<br /><br />They tell us that mathematics learning, particularly the formal abstract mathematics that takes up a lot of the school curriculum, is enhanced when students are using visual and intuitive mathematical thinking, connected with numerical thinking.<br /><br />In this realm there is one method that stands above all others in its effectiveness: the process of teachers giving students diagnostic comments on their work. <b style="background-color: yellow;">One of the greatest gifts you can give to your students is your knowledge, ideas, and feedback on their mathematical development, when phrased positively and with growth messages.</b><br /><br />Always allow students to resubmit any work or test for a higher grade<br /><br />Share grades with school administrators but not with the students.<br /><br />Use multidimensional grading.<br /><br />Do not use a 100-point scale.<br /><br />Do not include early assignments {review?} from math class in the end-of-class grade .<br /><br />Do not include homework, if given, as any part of grading.<br /><div><br /></div><br />Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-88178794200852366592016-08-01T09:09:00.000-05:002016-08-01T23:27:23.228-05:00Mathematical Mindsets: The Highlights {Part 3}<br /><div class="separator" style="clear: both; text-align: center;"><a href="http://statteacher.blogspot.com/2016/07/mtbosblaugust-participating-blogs-2016.html"><img border="0" height="105" src="https://1.bp.blogspot.com/-01mhQRqGT-w/V6Agb7-4gFI/AAAAAAAAFPs/YyvqdHG5fqIRPi98qKD9qiiKUH5z3joXACLcB/s320/blaugust.jpg" width="320" /></a></div><br />This book I would say has changed my thoughts on math, teaching, and teaching math more than any other I've read in my seven year career. I will recommend it and link it forever. I will have to post my highlighted notes from it in several posts because no one would ever scroll through all of it otherwise! There is just so much to process and that I will need to read over and over again- so many opportunities for growth and change!<br /><br />It's only $10.71 for the paperback and $7.99 for the Kindle version. You NEED this book. But until you get your own, this should be enough to make you want more.<br /><br />Enjoy!<br />See Part 1<a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-1.html">{here}</a>and Part 2 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-2.html">{here}</a><br /><br /><a href="https://www.amazon.com/Mathematical-Mindsets-Unleashing-Potential-Innovative/dp/0470894520/ref=sr_1_1?ie=UTF8&qid=1469836771&sr=8-1&keywords=mathematical+mindsets">Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching</a><br />Jo Boaler<br /><br /><b><u>Chapter 5: Rich Mathematical Tasks</u></b><br /><br />Teachers are the most important resource for students. They are the ones who can create exciting mathematics environments, give students the positive messages they need, and take any math task and make it one that piques students' curiosity and interest. <b style="background-color: yellow;">Studies have shown that the teacher has a greater impact on student learning than any other variable (Darling-Hammond, 2000).</b><br /><br />This is intrinsically interesting, but it's also true that most people I meet, even high-level mathematics users, have never realized numbers can be so open and number problems can be solved in so many ways. When this realization is combined with visual insights into the mathematical ways of working, engagement is intensified.<br /><br />I have learned through this that people are fascinated by flexibility and openness in mathematics. Mathematics is a subject that allows for precise thinking, but when that precise thinking is combined with creativity, flexibility, and multiplicity of ideas, the mathematics comes alive for people.<br /><br /><b style="background-color: yellow;">Teachers can create such mathematical excitement in classrooms, with any task, by asking students for the different ways they see and can solve tasks and by encouraging discussion of different ways of seeing problems.</b><br /><br />They tried out ideas with each other, many of which were <b style="background-color: yellow;">incorrect but helpful</b> in ultimately forming a pathway to the solution.<br /><br />Important observations that reveal opportunities to improve the engagement of all students:<br /><br /><ul><li>The task is challenging but accessible .</li><li>The boys saw the task as a puzzle</li><li>The visual thinking about the growth of the task gave the boys understanding of the way the pattern grew</li><li>They had all developed their own way of seeing the pattern growth</li><li>The classroom had been set up to encourage students to propose ideas without being afraid of making mistakes</li><li>We had taught the students to respect each other's thinking</li><li>The students were using their own ideas,</li><li>The boys were working together</li><li>The boys were working heterogeneously.</li></ul><br /><br /><b style="background-color: yellow;">When we don't ask students to think visually, we miss an incredible opportunity to increase their understanding.</b><br /><br />Additionally, students did not think they were finding a standard answer for us; they thought they were exploring methods and using their own ideas and thoughts, which included their own ways of seeing mathematical growth.<br /><br />The researchers found that when students were given problems to solve, and they did not know methods to solve them, but they were given opportunity to explore the problems, they became curious, and their brains were primed to learn new methods, so that when teachers taught the methods, students paid greater attention to them and were more motivated to learn them.<br /><br /><b style="background-color: yellow;">The teacher taught them the methods when they were needed, rather than the usual approach of teaching a method that students then practiced.</b><br /><br />When students are asked to think intuitively, many good things happen. First, they stop thinking narrowly about single methods and consider mathematics more broadly. Second, they realize they have to use their own minds—thinking, sense making, and reasoning. They stop thinking their task is just to repeat methods, and they realize their task is to think about the appropriateness of different methods. And third, as the Schwartz and Bransford research study showed, their brains become primed to learn new methods (Schwartz & Bransford, 1998).<br /><br />When teachers are designers, creating and adapting tasks, they are the most powerful teachers they can be.<br /><br />Making math tasks richer:<br />1. Can You Open the Task to Encourage Multiple Methods, Pathways, and Representations?<br />2. Can You Make It an Inquiry Task?<br />When students think their role is not to reproduce a method but to come up with an idea, everything changes (Duckworth, 1991).<br />The mathematics is more complex and exciting because students are using their ideas and thoughts.<br />3. Can You Ask the Problem Before Teaching the Method?<br />4. Can You Add a Visual Component?<br />5. Can You Make It Low Floor and High Ceiling?<br />When students are invited to ask a harder question, they often light up, totally engaged by the opportunity to use their own thinking and creativity.<br />6. Can You Add the Requirement to Convince and Reason?<br /><br /><b style="background-color: yellow;">In every math conversation, students were asked to reason, explaining why they had chosen particular methods and why they made sense.</b> This opened up mathematical pathways and allowed students who had not understood to both gain understanding and ask questions, adding to the understanding of the original student.<br /><br />She explains that there are three levels of being convincing (Boaler & Humphreys, 2005):<br /><br /><ul><li>Convince yourself </li><li>Convince a friend </li><li>Convince a skeptic </li></ul>It is fairly easy to convince yourself or a friend, but you need high levels of reasoning to convince a skeptic. Cathy tells her students that they need to be skeptics, pushing other students to always give full and convincing reasons.<br /><br /><b style="background-color: yellow;">When I ask students to play the role of being the skeptic, I explain that they need to demand to be fully convinced. Students really enjoy challenging each other for convincing reasons, and this helps them learn mathematical reasoning and proof.</b><br /><span style="background-color: yellow;"><br /></span><b style="background-color: yellow;">Open up the task so that there are multiple methods, pathways, and representations. Include inquiry opportunities. Ask the problem before teaching the method. Add a visual component and ask students how they see the mathematics. Extend the task to make it lower floor and higher ceiling. Ask students to convince and reason; be skeptical.</b><br /><b style="background-color: yellow;"><br /></b><b><u>Chapter 6: Mathematics and the Path to Equity</u></b><br /><br /><b style="background-color: yellow;">When we have gifted programs in schools we tell students that some of the students are genetically different; this message is not only very damaging but also incorrect.</b><br /><br /><b style="background-color: yellow;">Some people who have excelled in math choose not to be proud of the hard work and struggle they went through; they prefer to think they were born with a gift. There are many problems with this idea, one being that students who are successful through hard work often think that they are imposters because their achievement was not effortless.</b><br /><br />The researchers went on to study the factors in the students' environment that led to different feelings of belonging, and they found that two factors worked against feelings of belonging. One was the message that math ability is a fixed trait; the other was the idea that women have less ability than men. These ideas shaped women's, but not men's, sense of belonging in math. The women's lowered sense of belonging meant that they pursued fewer math courses and received lower grades. <b style="background-color: yellow;">Women who received the message that math ability is learned were protected from negative stereotypes—they maintained a high sense of belonging in math and remained intent on pursuing mathematics in the future.</b><br /><br /><b style="background-color: yellow;">We need all teachers to believe in all students, to reject the idea of some students being suitable for higher-level math and others not, and to work to make higher-level math available to all students, whatever their prior achievement, skin color, or gender.</b><br /><br />Some teachers believe that some students cannot achieve at high levels of high school because they live in poverty or because of their previous preparation. In Chapter One I gave an example of high school teachers who made this argument to their school board, but teachers such as those at Life Academy are proving this wrong every day, through teaching high-level mathematics and positive messages to all students.<br /><br /><b style="background-color: yellow;">This is unfortunate, as we know that students who are advanced in math from an early age are more likely to drop math when they get the opportunity and achieve at lower levels.</b><br /><br />Making math more equitable:<br /><b>1. Offer all students high-level content</b><br /><b>2. Work to change ideas about who can achieve in mathematics</b><br />The studies also show, encouragingly, that students who have a growth mindset are able to shrug off stereotyped messages and continue to success; this speaks again to the huge need for students, and teachers, to develop growth mindset beliefs about their own subjects and transmit growth mindset messages to students.<br /><b>3. Encourage students to think deeply about mathematics</b><br />Unfortunately, the procedural nature of mathematics teaching in many classes means that deep understanding is often not available, and when girls cannot gain deep understanding they underachieve, turn away from mathematics, and often develop anxiety. Girls have much higher levels of anxiety about mathematics than boys do (Organisation for Economic Co-operation and Development [OECD], 2015), and the unavailability of deep understanding is one main reason for this (Boaler, 2014a).<br /><b>4. Teach students to work together</b><br />When the Chinese American students found mathematics difficult, they were supported—first by knowing that everyone was struggling and then by working together to solve problems.<br /><b>5. Give girls and students of color additional encouragement to learn math and science</b><br />The researchers found that the levels of anxiety held by women elementary teachers predicted the achievement of the girls in their classes, but not the boys (Beilock et al., 2009).<br />Researchers found that when mothers told their daughters “I was no good at math in school” their daughter's achievement immediately went down (Eccles & Jacobs, 1986). Teachers need to replace sympathetic messages such as “Don't worry, math isn't your thing” with positive messages such as “You can do this, I believe in you, math is all about effort and hard work.” Subsequent experiments showed that women underachieved when they simply marked their gender in a box before taking the test, compared to those who did not have to do that. Role models are extremely important to students—and one of the reasons it is so important to diversify the teaching force.<br /><b>6. Eliminate (or at least change the nature of) homework</b><br />PISA, the international assessment group, with a data set of 13 million students, recently made a major announcement. After studying the relationships among homework, achievement, and equity, they announced that homework perpetuates inequities in education (Program for International Student Assessment [PISA], 2015).<br /><br />Additionally, they questioned whether homework has any academic value at all, as it did not seem to raise achievement for students. <b style="background-color: yellow;">This is not an isolated finding; academic research has consistently found homework to either negatively affect or not affect achievement. Baker and LeTendre (2005), for example, compared standardized math scores across different countries and found no positive link between frequency of math homework and students' math achievement. </b><br /><br /><b style="background-color: yellow;">Mikki (2006) found that countries that gave more math homework had lower overall test scores than those that gave less math homework (Mikki, 2006).</b> Kitsantas, Cheema, and Ware (2011) examined 5,000 15-and 16-year-olds across different income levels and ethnic backgrounds and also found that the more time students spent on math homework, the lower their math achievement across all ethnic groups.<br /><br /><b style="background-color: yellow;">When we assign homework to students, we provide barriers to the students who most need our support. This fact, alone, makes homework indefensible to me.</b><br /><b style="background-color: yellow;"><br /></b><b style="background-color: yellow;">It is unfair and unwise to give students difficult problems to do when they are tired, sometimes even exhausted, at the end of the day. I wonder if teachers who set homework think that children have afternoon hours to complete it, with a doting parent who does not work on hand. If they do not think this, then I do not understand why they feel they can dictate how children should spend family time in the evenings.</b><br /><b style="background-color: yellow;"><br /></b><b style="background-color: yellow;">The value of most math homework across the United States is low, and the harm is significant.</b><br /><br /><span style="background-color: yellow;"></span><br />Homework should be given only if the homework task is worthwhile and draws upon the opportunity for reflection or active investigation around the home.<br /><div><br /></div><div><br /></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-40290078520935895992016-07-31T07:50:00.000-05:002016-08-01T01:16:04.767-05:00Mathematical Mindsets: The Highlights {Part 2}This book I would say has changed my thoughts on math, teaching, and teaching math more than any other I've read in my seven year career. I will recommend it and link it forever. I will have to post my highlighted notes from it in several posts because no one would ever scroll through all of it otherwise! There is just so much to process and that I will need to read over and over again- so many opportunities for growth and change!<br /><br />It's only $10.71 for the paperback and $7.99 for the Kindle version. You NEED this book. But until you get your own, this should be enough to make you want more.<br /><br />Enjoy!<br /><br /><a href="https://www.amazon.com/Mathematical-Mindsets-Unleashing-Potential-Innovative/dp/0470894520/ref=sr_1_1?ie=UTF8&qid=1469836771&sr=8-1&keywords=mathematical+mindsets">Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching</a><br />Jo Boaler<br /><br />See Part 1 <a href="http://misscalculate.blogspot.com/2016/07/mathematical-mindsets-highlights-part-1.html">{here}</a><br /><br /><b><u>Chapter 3: The Creativity and Beauty in Mathematics</u></b><br /><br />But mathematics, real mathematics, is a subject full of uncertainty; it is about explorations, conjectures, and interpretations, not definitive answers.<br /><br />But Hersh points out that it is the questions that drive mathematics. Solving problems and making up new ones is the essence of mathematical life.<br /><br />Numerous research studies (Silver, 1994) have shown that when students are given opportunities to pose mathematics problems, to consider a situation and think of a mathematics question to ask of it—which is the essence of real mathematics—they become more deeply engaged and perform at higher levels.<br /><br /><b style="background-color: yellow;">What employers need, he argues, is people who can ask good questions, set up models, analyze results, and interpret mathematical answers. It used to be that employers needed people to calculate; they no longer need this. What they need is people to think and reason.</b><br /><br /><b style="background-color: yellow;">Parents often do not see the need for something that is at the heart of mathematics: the discipline. Many parents have asked me: What is the point of my child explaining their work if they can get the answer right? My answer is always the same: Explaining your work is what, in mathematics, we call reasoning, and reasoning is central to the discipline of mathematics.</b><br /><br />Mathematics is a very social subject, as proof comes about when mathematicians can convince other mathematicians of logical connections.<br /><br />Group and whole class discussions are really important. Not only are they the greatest aid to understanding—as students rarely understand ideas without talking through them—and not only do they enliven the subject and engage students, but they teach students to reason and to critique each other's reasoning, both of which are central in today's high-tech workplaces.<br /><br />We also want students reasoning in mathematics classrooms because the act of reasoning through a problem and considering another person's reasoning is interesting for students. Students and adults are much more engaged when they are given open math problems and allowed to come up with methods and pathways than if they are working on problems that require a calculation and answer.<br /><br /><b style="background-color: yellow;">What is important is to deeply understand things and their relations to each other. This is where intelligence lies. The fact of being quick or slow isn't really relevant.</b><br /><b style="background-color: yellow;"><br /></b><b style="background-color: yellow;">The powerful thinkers are those who make connections, think logically, and use space, data, and numbers creatively.</b><br /><div><br /></div><div><br /></div><div><div><b><u>Chapter 4: Creating Mathematical Mindsets: The Importance of Flexibility with Numbers</u></b></div><div><br /></div><div><b style="background-color: yellow;">The best and most important start we can give our students is to encourage them to play with numbers and shapes, thinking about what patterns and ideas they can see.</b></div><div><br /></div><div>Successful math users have an approach to math, as well as mathematical understanding, that sets them apart from less successful users. They approach math with the desire to understand it and to think about it, and with the confidence that they can make sense of it. Successful math users search for patterns and relationships and think about connections. They approach math with a mathematical mindset , knowing that math is a subject of growth and their role is to learn and think about new ideas. We need to instill this mathematical mindset in students from their first experiences of math.</div><div><br /></div><div>When students see math as a broad landscape of unexplored puzzles in which they can wander around, asking questions and thinking about relationships, they understand that their role is thinking, sense making, and growing.</div><div><br /></div><div>Instead of approaching numbers with flexibility and number sense, they seemed to cling to formal procedures they had learned, using them very precisely, not abandoning them even when it made sense to do so. <b style="background-color: yellow;">The low achievers did not know less , they just did not use numbers flexibly—probably because they had been set on the wrong pathway, from an early age, of trying to memorize methods and number facts instead of interacting with numbers flexibly (Boaler, 2015a). The researchers pointed out something else important—the mathematics the low achievers were using was a harder mathematics. It is much easier to subtract 5 from 20 than to start at 21 and count down 16 numbers.</b></div><div><br /></div><div>Notably, the brain can only compress concepts; it cannot compress rules and methods. <b style="background-color: yellow;">Therefore students who do not engage in conceptual thinking and instead approach mathematics as a list of rules to remember are not engaging in the critical process of compression, so their brain is unable to organize and file away ideas; instead, it struggles to hold onto long lists of methods and rules. This is why it is so important to help students approach mathematics conceptually at all times.</b></div><div><br /></div><div>The left side of the brain handles factual and technical information; the right side brain handles visual and spatial information. Researchers have found that mathematics learning and performance are optimized when the two sides of the brain are communicating (Park & Brannon, 2013).</div><div><br /></div><div>The implications of this finding are extremely important for mathematics learning, as they tell us that learning the formal abstract mathematics that makes up a lot of the school curriculum is enhanced when students are using visual and intuitive mathematical thinking.</div><div><br /></div><div>The antithesis of this approach is a focus on rote memorization and speed. <b style="background-color: yellow;">The more we emphasize memorization to students, the less willing they become to think about numbers and their relations and to use and develop number sense.</b></div><div><br /></div><div>The hippocampus, like other brain regions, is not fixed and can grow at any time, as illustrated by the London Black Cab studies (Woollett & Maguire, 2011), but it will always be the case that some students are faster or slower when memorizing, and this has nothing to do with mathematics potential. </div><div><br /></div><div><b style="background-color: yellow;">All subjects require the memorization of some facts, but mathematics is the only subject in which teachers believe they should be tested under timed conditions.</b> Why do we treat mathematics in this way? We have the research evidence that shows students can learn math facts much more powerfully with engaging activities; now is the time to use this evidence and liberate students from mathematics fear.</div><div><br /></div><div>It is important to revisit mathematical ideas, but the “practice” of methods over and over again is unhelpful. <b style="background-color: yellow;">When you learn a new idea in mathematics, it is helpful to reinforce that idea, and the best way to do this is by using it in different ways. We do students a great disservice when we pull out the most simple version of an idea and give students 40 questions that repeat it. Worksheets that repeat the same idea over and over turn students away from math, are unnecessary, and do not prepare them to use the idea in different situations.</b></div><div><br /></div><div>First, practicing isolating methods induces boredom in students; many students simply turn off when they think their role is to passively accept a method (Boaler & Greeno, 2000) and repeat it over and over again.</div><div><br /></div><div>Second, most practice examples give the most simplified and disconnected version of the method to be practiced, giving students no sense of when or how they might use the method.</div><div><br /></div><div>When textbooks introduce only the simplest version of an idea, students are denied the opportunity to learn what the idea really is.</div><div><br /></div><div><b style="background-color: yellow;">When learning a definition, it is helpful to offer different examples—some of which barely meet the definition and some of which do not meet it at all—instead of perfect examples each time.</b></div><div><br /></div><div>Students are given uncomplicated situations that require the simple use of a procedure (or often, no situation at all). They learn the method, but when they are given realistic mathematics problems or when they need to use math in the world, they are unable to use the methods (Organisation for Economic Co-operation and Development, 2013). Real problems often require the choice and adaptation of methods that students have often never learned to use or even think about.</div><div><b style="background-color: yellow;"><br /></b></div><div><b style="background-color: yellow;">One significant problem the students from the traditional school faced in the national examination—a set of procedural questions—was that they did not know which method to choose to answer questions. They had practiced methods over and over but had never been asked to consider a situation and choose a method.</b></div><div><br /></div><div>It is also part of the reason that students do not develop mathematical mindsets; they do not see their role as thinking and sense making; rather, they see it as taking methods and repeating them. Students are led to think there is no place for thinking in math class.</div><div><br /></div><div>In a second study, conducted in the United States, we asked students in a similar practice model of math teaching what their role was in the math classroom (Boaler & Staples, 2005). A stunning 97% of students said the same thing: their role was to “pay careful attention.” This passive act of watching—not thinking, reasoning, or sense making—does not lead to understanding or the development of a mathematical mindset.</div><div><br /></div><div><b style="background-color: yellow;">Large research studies have shown that the presence or absence of homework has minimal or no effects on achievement (Challenge Success, 2012) and that homework leads to significant inequities.</b></div><div><br /></div><div>Research also shows that the only time homework is effective is when students are given a worthwhile learning experience, not worksheets of practice problems, and when homework is seen not as a norm but as an occasional opportunity to offer a meaningful task.</div><div><br /></div><div>Two innovative teachers I work with in Vista Unified School District, Yekaterina Milvidskaia and Tiana Tebelman, developed a set of homework reflection questions that they choose from each day to help their students process and understand the mathematics they have met that day at a deeper level. They typically assign one reflection question for students to respond to each night and one to five mathematical questions to work on (depending on the complexity of the problems).</div><div><br /></div><div><b style="background-color: yellow;">Questions that ask students to think about errors or confusions are particularly helpful in encouraging students' self-reflection, and they will often result in the students' understanding the mathematics for the first time.</b></div><div><b style="background-color: yellow;"><br /></b></div><div><b style="background-color: yellow;">Number talks are the best pedagogical method I know for developing number sense and helping students see the flexible and conceptual nature of math.</b></div><div><br /></div><div>A growth mindset is important, but for this to inspire students to high levels of mathematics learning, they also need a mathematics mindset. We need students to have growth beliefs about themselves and accompany these with growth beliefs about the nature of mathematics and their role within it.</div></div><div><br /></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-19826489849923693902016-07-30T09:28:00.000-05:002016-07-30T09:28:05.230-05:00Mathematical Mindsets: The Highlights {Part 1}<br />This book I would say has changed my thoughts on math, teaching, and teaching math more than any other I've read in my seven year career. I will recommend it and link it forever. I will have to post my highlighted notes from it in several posts because no one would ever scroll through all of it otherwise! There is just so much to process and that I will need to read over and over again- so many opportunities for growth and change!<br /><br />It's only $10.71 for the paperback and $7.99 for the Kindle version. You NEED this book. But until you get your own, this should be enough to make you want more.<br /><br />Enjoy!<br /><br /><a href="https://www.amazon.com/Mathematical-Mindsets-Unleashing-Potential-Innovative/dp/0470894520/ref=sr_1_1?ie=UTF8&qid=1469836771&sr=8-1&keywords=mathematical+mindsets">Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching</a><br />Jo Boaler<br /><br /><b><u>Introduction: The Power of Mindset</u></b><br />When students get the idea they cannot do math, they often maintain a negative relationship with mathematics throughout the rest of their lives.<br /><br />Research studies have established that the more math classes students take, the higher their earnings ten years later.<br /><br />Research has also found that students who take advanced math classes learn ways of working and thinking—especially learning to reason and be logical—that make them more productive in their jobs. Students taking advanced math learn how to approach mathematical situations so that once they are employed, they are promoted to more demanding and more highly paid positions than those who did not take mathematics to advanced levels (Rose & Betts, 2004).<br /><br />That single belief—that math is a “gift” that some people have and others don't—is responsible for much of the widespread math failure in the world.<br /><br />Math is conveyed as a really hard subject that is uninteresting, inaccessible, and only for “nerds”; it is not for cool, engaging people, and it is not for girls. It is no wonder that so many children in schools disengage from math and believe they cannot do well.<br /><br />Part of the change we need to see in mathematics is acknowledgment of the creative and interpretive nature of mathematics. Mathematics is a very broad and multidimensional subject that requires reasoning, creativity, connection making, and interpretation of methods; it is a set of ideas that helps illuminate the world; and it is constantly changing. Math problems should encourage and acknowledge the different ways in which people see mathematics and the different pathways they take to solve problems. When these changes happen, students engage with math more deeply and well.<br /><br />They believe that mathematics ability is a sign of intelligence and that math is a gift, and if they don't have that gift then they are not only bad at math but they are unintelligent and unlikely to ever do well in life.<br /><br /><b><u>Chapter 1: The Brain and Mathematics Learning</u></b><br /><br />If you learn something deeply, the synaptic activity will create lasting connections in your brain, forming structural pathways, but if you visit an idea only once or in a superficial way, the synaptic connections can “wash away” like pathways made in the sand. Synapses fire when learning happens, but learning does not happen only in classrooms or when reading books; synapses fire when we have conversations, play games, or build with toys, and in the course of many, many other experiences.<br /><br />If brains can change in three weeks, imagine what can happen in a year of math class if students are given the right math materials and they receive positive messages about their potential and ability.<br /><br />The new evidence from brain research tells us that everyone, with the right teaching and messages, can be successful in math, and everyone can achieve at the highest levels in school.<br /><br /><b style="background-color: yellow;">What I am saying is that any brain differences children are born with are nowhere near as important as the brain growth experiences they have throughout life.</b><br /><br /><b style="background-color: yellow;">Every second of the day our brain synapses are firing, and students raised in stimulating environments with growth mindset messages are capable of anything.</b><br /><br />A lot of scientific evidence suggests that the difference between those who succeed and those who don't is not the brains they were born with, but their approach to life, the messages they receive about their potential, and the opportunities they have to learn. The very best opportunities to learn come about when students believe in themselves.<br /><br />In other studies, researchers have shown that students' (and adults') mindsets can change from fixed to growth, and when that happens their learning approach becomes significantly more positive and successful (Blackwell et al., 2007).<br /><br /><b style="background-color: yellow;">The highest-achieving students in the world are those with a growth mindset, and they outrank the other students by the equivalent of more than a year of mathematics (see Figure 1.6 ).</b><br /><br />It turns out that even believing you are smart—one of the fixed mindset messages—is damaging, as students with this fixed mindset are less willing to try more challenging work or subjects because they are afraid of slipping up and no longer being seen as smart. Students with a growth mindset take on hard work, and they view mistakes as a challenge and motivation to do more.<br /><br />When students are given fixed praise—for example, being told they are smart when they do something well—they may feel good at first, but when they fail later (and everyone does) they think that means they are not so smart after all.<br /><br />Praise feels good, but when people are praised for who they are as a person (“You are so smart”) rather than what they did (“That is an amazing piece of work”), they get the idea that they have a fixed amount of ability.<br /><br />Telling students they are smart sets them up for problems later. As students go through school and life, failing at many tasks—which, again, is perfectly natural—they evaluate themselves, deciding how smart or not smart this means they really are. <b style="background-color: yellow;">Instead of praising students for being smart, or any other personal attribute, it's better to say things like: “It is great that you have learned that,” and “You have thought really deeply about this.</b><b style="background-color: yellow;">”</b><br /><b style="background-color: yellow;"><br /></b><b><u>Chapter 2: The Power of Mistakes and Struggle</u></b><br /><b><br /></b>“Every time a student makes a mistake in math, they grow a synapse.”<br /><br />One reason it is so significant is that it speaks to the huge power and value of mistakes, although students everywhere think that when they make a mistake it means that they are not a “math person” or worse, that they are not smart.<br /><br />When teachers ask me how this can be possible, I tell them that the best thinking we have on this now is that the brain sparks and grows when we make a mistake, even if we are not aware of it, because it is a time of struggle; the brain is challenged, and this is the time when the brain grows the most.<br /><br />First, the researchers found that the students' brains reacted with greater ERN and Pe responses—electrical activity—when they made mistakes than when their answers were correct. Second, they found that the brain activity was greater following mistakes for individuals with a growth mindset than for individuals with a fixed mindset.<br /><br />The study also found that individuals with a growth mindset had a greater awareness of errors than individuals with a fixed mindset, so they were more likely to go back and correct errors.<br /><br /><b style="background-color: yellow;">It tells us that the ideas we hold about ourselves—in particular, whether we believe in ourselves or not—change the workings of our brains. If we believe that we can learn, and that mistakes are valuable, our brains grow to a greater extent when we make a mistake.</b><br /><br />He points out: “Imperfection is a part of any creative process and of life, yet for some reason we live in a culture that has a paralyzing fear of failure, which prevents action and hardens a rigid perfectionism. It's the single most disempowering state of mind you can have if you'd like to be more creative, inventive, or entrepreneurial.”<br /><br />He also summarizes the habits of successful people in general, saying that successful people:<br /><br /><ul><li>Feel comfortable being wrong </li><li>Try seemingly wild ideas </li><li>Are open to different experiences </li><li>Play with ideas without judging them </li><li>Are willing to go against traditional ideas </li><li>Keep going through difficulties </li></ul><br />It's also a good time to reinforce important messages—that when the student made this mistake, it was good, because they were in a stage of cognitive struggle and their brain was sparking and growing.<br /><div><b style="background-color: yellow;"><br /></b></div><div><div><b style="background-color: yellow;">I said “Do you know what just happened? When you got that answer wrong your brain grew, but when you got the answer right, nothing happened in your brain; there was no brain growth.”</b></div><div><b style="background-color: yellow;"><br /></b></div><div><b style="background-color: yellow;">If we want students to be making mistakes, we need to give them challenging work that will be difficult for them, that will prompt disequilibrium.</b></div><div><b style="background-color: yellow;"><br /></b></div><div><b style="background-color: yellow;">In workshops with Carol Dweck I often hear her tell parents to communicate to their children that it is not impressive to get work correct, as that shows they were not learning.</b></div><div><br /></div><div>This is a radical message, but we need to give students strong messages to override an idea they often get in school—that it is most important to get everything correct, and that correctness is a sign of intelligence.</div><div><br /></div><div>When mathematics is taught as an open and creative subject, all about connections, learning, and growth, and mistakes are encouraged, incredible things happen.</div></div><div><br /></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-69070262210131689612016-07-29T02:48:00.001-05:002016-08-07T00:21:35.071-05:00How To...Teacher Moves<h4 style="text-align: center;"><i style="font-weight: normal;">In my own personal effort to #ExpandMTBoS, I'm starting a new category of blog posts called 'How To' so I can share the strategies behind the resource. I hope new and veteran teachers alike can find something useful. Click on the <a href="http://misscalculate.blogspot.com/search/label/How%20To">tag</a> to the right for more posts!</i></h4><div><i style="font-weight: normal;"><br /></i></div>This is a collection of ideas and resources that I've read and wanted to use or have already used.<br /><br />Get presenter’s to the front. One can only speak and the other can only point. They explain their thinking for one pair. Keep this light, safe and fun. If a student does not explain clearly enough or missing key elements, just let it go, they will most likely come out in later explanations.<br /><br />Ask a student in the class to re-explain the presenter’s thinking.<br /><br />"Get low" in the classroom so students don't look to you as the answer keeper.<br /><br />Students write two truths and a lie about a function or math problem; <a href="http://mrorr-isageek.com/better-questions-two-truths-one-lie/">see here</a> for variations; include these type of questions on assessments.<br /><br />Grade or give feedback with <a href="http://drawingonmath.blogspot.com/2016/05/follow-up-grading-with-highlighters.html">two</a> or <a href="http://fawnnguyen.com/giving-feedback-with-a-highlighter/">more</a> highlighters.<br /><br />When students say:<br /><br /><ul><li>"What do I do next?" reply with "What do you think?"</li><li>"What do I do next?" reply with "How did you start?"</li><li>"Is this right?" reply with "What did you do?"</li><li>"Can you help me?" reply with "What should you do first?"</li><li>"I got the wrong answer." reply with "Can you find a mistake in your work?"</li></ul><div>When asking students to share their responses with the class, say "Thank you" to acknowledge their answers without confirming if it's right or wrong. Practice that poker face!</div><div><br /></div><div>Put self-assessment questions on quizzes and tests for students to reflect on what they think they know.</div><div><br /></div><div>Include quadratic equations when teaching solving systems by substitution. {Great idea <a href="http://www.megcraig.org/?p=1247">Meg</a>!}</div><div><br /></div><div>Help address gaps, spiral content, self-test, study, or review by giving students index card problems as they enter the room. You can make an answer key or have students line up or sit down based on the answers they get. {Thanks <a href="http://simplifyingradicals2.blogspot.com/2016/01/entrance-questions.html">Nora</a>!}</div><div><br /></div><div>You can jump a few DOK levels by reversing the question....give students math problems and ask them what they solve instead of asking them to <i>do</i> the calculation. {Learn more from <a href="http://fawnnguyen.com/reversing-the-question/">Fawn</a>}</div><div><br /></div><div>Here are three quick games to play when you have extra time in class that involve some strategy and logic. Always be prepared; this is a great back up. {Thanks to <a href="https://fractionfanatic.wordpress.com/2016/03/29/5-minutes-of-fun-or-more/">Julie</a>!}</div><div><br /></div><div>Sarah Carter shares <a href="http://mathequalslove.blogspot.com/2016/01/quick-and-easy-review-games.html">four of her favorite review games</a>. I know I always have my default games so it's great to mix it up with some new ideas. Here's <a href="http://mathtalesfromthespring.blogspot.com/search/label/Review%20Activities">another collection</a> from Kim that I really loved and have gotten away from.</div><div><br /></div><div>I am a huge fan of <a href="http://misscalculate.blogspot.com/search/label/Sorting">card sorts</a> but this post really inspired me to kick mine up a notch. These ideas work great for INBs, individual studying, and pair practice. {Love <a href="http://www.mathgiraffe.com/blog/3-ways-to-use-card-sorts-in-high-school-math">these</a> Brigid!}</div><div><br /></div><div><br /></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com2tag:blogger.com,1999:blog-2467202639598238063.post-28774459609309579722016-07-28T23:59:00.000-05:002016-07-29T02:20:08.511-05:00Bell Ringers 3.0<br />One disadvantage of teaching in a tiny school is that you can't just reuse everything because you have the same students for three years in a row. So every year I have to find new first day of school activities and change things like my daily bell ringers.<br /><br />Every year I find a new obsession so I would probably just change it anyway.<br /><br />Updates from <a href="http://misscalculate.blogspot.com/2015/08/bell-ringers-20.html">last year</a>:<br /><ul><li>Changed the colors to match better</li><li>Took off the week labels {how is it that we got to school for 180 days but it's more than 36 weeks....so confusing}</li><li>Changed "Weigh It Wednesday" balance bender puzzles to "Work It Wednesday" brain teasers {thanks to weekly KenKen pdfs for educators!}</li><li>Changed "Thoughtful Q's Thursday" to "Number Talks Thursday" {excited but completely unprepared for these}</li><li>Updated estimation180 and WODB photos with new ones {thanks everyone who submits those!}</li></ul><div><br />Here is THE powerpoint!</div><div><br /></div><div><center><iframe allowfullscreen="" frameborder="0" height="400" msallowfullscreen="" src="https://app.box.com/embed/preview/yvlg8hjny6lzfrjrnfo408w526ghk1lg?direction=ASC&theme=dark" webkitallowfullscreen="" width="450"> </iframe></center></div><div><br /></div><div>Now I have some questions. Last year I printed out <a href="https://app.box.com/s/tkdwhddwftgd8oqh8r4u">front and back handouts</a> every week for students. I know some people use Google Classroom for warm ups but I just don't think I can rely on our Internet on a daily basis. </div><div><br /></div><div>I know for sure I want students to write on Mental Math Mondays. </div><div><br /></div><div>I'm thinking I could use Google Forms for Tough Guess Tuesday estimation180 photos. Most people did not or could not calculate the error and error percentage. Do I <i>need</i> them to do that? Do I <i>need </i>them to write a description and a reason? How would I display the information in a useful way? </div><div><br /></div><div>Work It Wednesday are brain teasers that don't necessarily require writing...students could use dry erase markers on their desk. Do I <i>need</i> them to write anything?</div><div><br /></div><div>For Number Talk Thursday, it's supposed to be mental so students could use marker again. But I also used some dot images so I could print those on paper for students to write on. I kind of like the idea of printing more than one of the same image so they can practice seeing different strategies. </div><div><br /></div><div>I know for sure I want students to use Plickers for Freaky Friday WODB. They love Plickers and I only use them a couple times of year. But do I want them to write their reasons? Or just call on random people to share their answers? I obviously don't grade these so do I NEED them to write?</div><div><br /></div><div>I guess what I'm truly struggling with is....will they do it if I don't make them write it down and turn it in?</div><div><br /></div><div>It would be great if I could use less paper...maybe fit one week per side, cutting the amount of copies I need in half. But my favorite part of last year's handouts was the questions I asked every week. They were random and let me get to know the students so much better. I guess I could use Google Classroom for those too...how would you do that? Every Friday post a question?</div><div><br /></div><div>How do you guys handle your warm ups in a way that makes your heart smile? :-)</div><div><br /></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-34770615787089949222016-07-27T00:44:00.000-05:002016-08-07T00:22:42.728-05:00How To...Ask Better Questions<h4 style="text-align: center;"><i style="font-weight: normal;">In my own personal effort to #ExpandMTBoS, I'm starting a new category of blog posts called 'How To' so I can share the strategies behind the resource. I hope new and veteran teachers alike can find something useful. Click on the tag to the right for more posts!</i></h4><div><i style="font-weight: normal;"><br /></i></div>Learning is not a process of absorbing others' ideas, thoughts, or practices but involves uncovering one's own ideas, connecting new ideas to one's own thinking.<br /><br />Questions that drive learning don't come from a list, they arise in response to student contributions.<br /><br />But listing is my jam and I have to start somewhere!<br /><br /><b><u>Uncover Student Thinking</u></b><br /><br /><ul><li>What do you notice?</li><li>What do you wonder?</li><li>What do you see?</li><li>What evidence do you have?</li><li>What is common?</li><li>What relationship do they have?</li><li>Can you convince me that...?</li><li>Can you clarify...?</li><li>What is the best way to graph this?</li><li>Which number would you change to change the graph the most?</li><li>Does it make sense?</li><li>If someone else sits down and looks at your work, will they be able to understand it?</li><li>Did you go back into the context?</li><li>Where is the proof?</li><li>Can you show your thinking another way?</li><li>What equation could you write that would represent your work?</li><li>What does _____ have to do with ____?</li><li>How are ____ and ____ alike? Different?</li><li>What makes you say that?</li><li>How did you get your answer to number,,,?</li><li>What should you be doing right now?</li><li>What should you be working on?</li></ul><br /><b><u>Student Voice/Reflection</u></b><br /><br /><ul><li>Is this working?</li><li>What can we do better tomorrow?</li><li>What did we like about the lesson?</li><li>If there was one component to keep from this lesson, what would it be?</li><li>If we could change something in the lesson, what would it be?</li><li>Where could we have done better?</li></ul><br /><b><u>Student Conferences</u></b><br /><br /><ul><li>How do you think you’ve been doing in class? </li><li>What areas do you think need improvement? </li><li>Why do you think that? </li><li>How has your homework been going? </li><li>Can you explain why you haven’t been doing it? </li><li>What about class time—can you show your mom your notes? </li><li>I see very few notes—would you tell us what’s happening with that? </li><li>How is all of this affecting your grades? </li><li>What do you think will happen if your grades don’t improve? </li><li>What needs to change in order for you to do better? </li><li>How can your teachers help you be more successful? </li><li>How can mom and dad help? </li><li>What is our plan moving forward, starting today, to help you improve?</li></ul><br /><b><u>Teacher Reflection</u></b><br /><br /><ul><li>What can I do to make this lesson more powerful?</li><li>How am I going to engage my students?</li><li>What am I missing?</li><li>How can I make this better?</li></ul>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com2tag:blogger.com,1999:blog-2467202639598238063.post-56220936293487496782016-07-26T01:15:00.000-05:002016-08-07T00:21:46.610-05:00How To...Build Relationship<div style="text-align: center;"><h4 style="text-align: center;"><i style="font-weight: normal;">In my own personal effort to #ExpandMTBoS, I'm starting a new category of blog posts called 'How To' so I can share the strategies behind the resource. I hope new and veteran teachers alike can find something useful. Click on the <a href="http://misscalculate.blogspot.com/search/label/How%20To">tag</a> to the right for more posts!</i></h4><div><i style="font-weight: normal;"><br /></i></div>"The kids have to be your greatest source of enjoyment as an educator." -Angela Watson </div><div style="text-align: center;"><br /></div>If nothing else, I can say this is true for me. I really enjoy my students. I love getting to know them, asking them questions, hanging out with them all day, making them laugh, listening to their stories, having inside jokes, and just watching them grow into good humans. I think building relationship with students is one of my strong points.<br /><br />Just don't judge me by my facial expressions, especially before 10:00 AM.<br /><br />I have kind of a unique situation I guess. I went to the same school my entire life and then came back to teach here. My dad went here, my aunts, uncles, and cousins, and my grandpa even helped build the school. When I started my first year of teaching, my sisters were still in high school. Our numbers have dropped from around 250 when I graduated to about half that now. We are a small school in a small community. I am the only math teacher. So I have every student for three years in a row and some four. I pretty much know them before I meet them and have probably taught someone related to them or I went to school with someone related to them. I also have an excellent memory so I have no problem learning and remembering names.<br /><br />But I still think I'm pretty good at getting students to like me.<br /><br />I may not be good at building morale with my colleagues but I think I have some great routines with students {Thanks to Christie for inspiring me back with <a href="http://radical4math.blogspot.com/2016/07/creating-classroomstudent-morale.html">her latest post</a>}:<br /><br /><ul><li>I have names memorized on day one and I go out of my way to pronounce/spell them correctly and never call them the name of a relative.</li><li>I let my personality shine through in my powerpoint slides and worksheets and directions. I say please and thank you in my directions, I use smiley faces, sarcasm, and I anticipate their thinking..."Press Enter 3 times. Yes, you have to actually do it three times." "Read the directions below. This is all based on reading so you do have to actually read this time."</li><li>I have a school Instagram account for all students and I post pictures of classroom activities, group photos, photos from dance and spirit week and prom, announcements, etc.</li><li>My classroom is clean, colorful, organized, decorated, and always smells good. I know that most teachers don't go to my extreme with decorating but the students really appreciate seeing your personality and likes come out in classroom decorations. I'm looking at you, dude teachers. I have three air fresheners going at all times and I eliminate clutter as much as possible. I have whiteboards all around the room which also helps brighten the room. Students appreciate that I'm one of the few who care what my classroom looks and feels like.</li><li>My favorite thing to do is buy students their favorite candy for their birthday. I have 85 students but it works out to only be a couple dollars a week or so. I've also used a "Happy Birthday" chair cover from Dollar Tree and written a dry erase birthday message on their desk. I'm going to try to remember to do all three this year.</li><li>I also have a 'two nice things' rule. Anytime a students says something rude/mean about someone, they have to immediately say two nice things. This applies anytime I hear the rudeness (hallway, ball game, class) and regardless of who the person is or if they are in the room.</li><li>I dress cute. This may seem random but when the majority of the teachers wear khakis, tennis shoes, and t-shirts every single day, the teacher who wears an actual outfit stands out to students. Dress for the job you want, not the job you have,</li><li>I keep up with current trends, sort of. Language is one of my gifts so I pick up pretty easily on slang, abbreviations, etc. I'm not a big music person but I try to know popular stuff so that I can relate when students bring it up. Or even better, if they say a song lyric or movie quote and I can finish it. They are always impressed by that. Find students that have the same favorite TV shows so you can talk about them through the year. Have answers ready to go for your favorite everything because it will come up at some point. Also be prepared to discuss tattoos, drinking, piercings, parties, drugs, etc They want to know ALL THE THINGS.</li><li>Go to their stuff. I'm the cheer coach so obviously I go to every basketball game but even before I coached I did that too. Also I like basketball and we were really good. But I also try to hit up volleyball games and stuff too. The more kids that ask you about an event, the more likely you should go.</li><li>Ask them questions and then actually remember the answers. I love to talk to students about what they want to be when they grow up and come back to that throughout the year. Also, most kids are known for something...a hobby, talent, music obsession, book nerd, athlete, etc. It's really easy to find something to connect with them about. But remembering and building on that are what sets you apart. Which, if they matter to you, is pretty easy to do.</li><li>Have a sense of humor. I've really got to pull back on my sarcasm but making people laugh is the easiest way to connect. You do you!</li><li>Show excellence in your job. I never miss a day of school. {I have an amazing immune system, no husband, and and no kids} I plan out every period, all period long. I try to learn new technology. I try to find cool things on Pinterest. Students know that I'm actively working to be better at my job and they know I really want them to learn.</li><li>Listen to their stories. Our gut reaction is to give adulty advice, and I do that too, but really listen and try to ask questions before giving answers.</li><li>I always have a small amount of seniors 5-9 in class, on my Student Council, or on my cheer squad. I make little goody bags for each one. They are almost always girls so they usually consist of ponytails, bobby pins, safety pins, hand sanitizer, mints, flossers, travel toothbrushes, tissues, etc. This year I even made a little real life meaning to go along with each item. Now do not be overwhelmed by this because gift giving is my love language, Dollar Tree is my love language, and like I said, I have very small class sizes.</li><li>Every Monday I ask students about their weekend. Sometimes I ask every person in class or sometimes a few students monopolize the whole conversation. I don't mind and I think it's a nice way to start the week. Now students often ask me about my weekend and they know my usual routine is groceries, clean, church, tv, and naps. If I actually do anything interesting, I make sure to tell them.</li><li>I used the Remind app as often as possible: quizzes, tests, any sort of deadline, dress up days, assemblies, early dismissals, money due, things for sale, scholarship deadlines, school events, picture day, when I am out for PD, to tell them good luck on ACT day, to tell them to drive safely home from prom, to wish them happy holidays throughout the year etc.</li><li>I started high fiving every student at the door last year but it fell to the wayside. I still always greet them at the door in some way though.</li><li>Give students compliments but only when you mean them. This is just something personal for me but I try to give students compliments as often as I can. But not if I don't mean it. If someone gets a drastic haircut that I don't like, I make sure to notice it without complimenting. "I see you got a haircut. Do you like it?" I want them to feel noticed but I'm not going to lie. I get a lot of compliments from students and I sure wouldn't want to feel like they were lying to me either.</li><li>Dress up for those silly spirit week days. I am the Student Council advisor so it would be pretty bad if I didn't participate. But I am 1 of 2 teachers who actually do. Two. How do we expect students to have school spirit and pride when we don't? Students love to see you look silly- it makes you human. So let them teach you that new dance move or try to rap that song. Let them know you can let your guard down and have a good time.</li><li>And my number one tip.....don't be a teacher if you don't like teaching, if you don't like students, or if you don't think students will ever amount to anything. I don't know why this has to be said but just don't. You're making everything worse and you should just go find yourself a cubicle somewhere and sit down.</li></ul>New Ideas<br /><ul><li>I'm wanting to send out good news postcards this year! I've thought about it for a couple years, maybe I will actually do it.</li><li>Use Remind to wish students Happy Birthday!</li></ul><div><br /></div><div>Basically it comes down to this...I try. I make an effort to care and show that I care.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-v0RUh6yjpAE/V5WtbRDjTmI/AAAAAAAAFO0/xFgyZPbndTsBQabALVOUBqNoN_X27EmZwCLcB/s1600/care.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="271" src="https://2.bp.blogspot.com/-v0RUh6yjpAE/V5WtbRDjTmI/AAAAAAAAFO0/xFgyZPbndTsBQabALVOUBqNoN_X27EmZwCLcB/s320/care.jpg" width="320" /></a></div><div><br /></div><div>And that's pretty cool.</div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com3tag:blogger.com,1999:blog-2467202639598238063.post-60521576814530400082016-07-25T00:02:00.000-05:002016-07-25T01:17:15.203-05:00INB GoodiesEvery year I change my table of contents for my INB so you'll be glad to know this year is no different. See past versions <a href="http://misscalculate.blogspot.com/2015/08/interactive-notebooks-diy-tabs-table-of.html">here</a>.<br /><br />I really liked the box split in half for page numbers. I did not like the boxes underneath each concept title. I did not like that I called it a skill and a concept on the same page....like what?<br /><br /><center><iframe allowfullscreen="" frameborder="0" height="400" msallowfullscreen="" src="https://app.box.com/embed/preview/bgjqpqc6j4bdtr2gb3g0talsxx5rblx1?direction=ASC&theme=dark" webkitallowfullscreen="" width="450"> </iframe></center><br /><br />I simplified it and added more rows. {Fonts are ChunkFive Roman and Running for a cause} Another change I made came from a great PD strategy. I put a circle in front of each skill. I'm going to ask students to shade in the circle based on how confident they feel about doing it. I figure I'll ask three times, using a different color each time: the day after they learn it, after they take a quiz over it, and on study guide day. It's powerful to watch the circles fill up.<br /><br />I'm really trying to build in regular reflection so that's one small way.<br /><br />Another larger way is to have a reflection page for the whole unit. We always start a new unit with a table of contents page on the RHP, leaving the LHP empty. Seems like a great place to summarize the previous unit.<br /><br />I stole all of this from Sarah Carter {see <a href="http://mathequalslove.blogspot.com/2015/12/unit-reflection-sheet-reflection.html">here</a> and <a href="http://mathequalslove.blogspot.com/2015/07/analyzing-errors-free-poster.html">here</a>} but I would still love your feedback. I used her reflection post to make changes.<br /><br /><center><iframe allowfullscreen="" frameborder="0" height="400" msallowfullscreen="" src="https://app.box.com/embed/preview/925et11w38ekuligjp54fidcfzzgv1lz?direction=ASC&theme=dark" webkitallowfullscreen="" width="450"> </iframe></center><br /><br />Next on my reflection agenda is to steal Kathryn Belmonte's idea of student nominations. Please check out her presentation <a href="http://twittermathcamp.pbworks.com/w/page/109640296/Nominations">here</a> and my summary <a href="http://misscalculate.blogspot.com/2016/07/tmc16-my-favorites.html">here</a>.<br /><br />Does this count as a close? {Two birds. One stone.} I want to end class with reflection time but also use the idea of nominations as positive peer pressure to take it home and make it better. <a href="http://misscalculate.blogspot.com/2016/07/i-give-up-on-homeworkagain.html">I obviously gave up on homework again</a> but I really did like the idea of a reflection question. Maybe I will switch it up between asking on Google Classroom or Remind and the INB reflection assignment.<br /><br />Feedback?Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com0tag:blogger.com,1999:blog-2467202639598238063.post-42329783801444139922016-07-24T08:28:00.000-05:002016-07-24T08:28:00.133-05:0031 Days of Reflection Calendar<br />I have to begin by explaining how this post proves Sara Vanderwerf wrong. She presented this to us on Monday afternoon and told us to make our list in the next 24 hours or we wouldn't do it.<br /><br />It took me 24x4 hours to actually do it but I did so na na boo boo on you.<br /><br />I had already favorited this tweet from earlier in the week, not really knowing what it pertained to, just literally liking it.<br /><br /><blockquote class="twitter-tweet" data-lang="en"><div dir="ltr" lang="en">Challenge: Retrain your brain. Choose something you can't do and practice it everyday for 5 min. <a href="https://twitter.com/hashtag/TMC16?src=hash">#TMC16</a> <a href="https://twitter.com/saravdwerf">@saravdwerf</a> <a href="https://t.co/GyvfCvlTXn">pic.twitter.com/GyvfCvlTXn</a></div>— Graham Fletcher (@gfletchy) <a href="https://twitter.com/gfletchy/status/754416934750449664">July 16, 2016</a></blockquote><br /><script async="" charset="utf-8" src="//platform.twitter.com/widgets.js"></script><br /><br />I ended TMC with Sara's session on reflection. She recommended at least 1-5 minutes of daily reflection. She also recommended reflecting with another teacher. She and a colleague take a walk around the building each day after school. <a href="https://saravanderwerf.com/2016/04/29/31-things-i-want-to-remember-to-do-more-of-with-a-downloadable-calendar/">One of Sara's methods</a> was to make a customizable calendar of 31 pictures she likes that reminds her of things she wants to be intentional about in her classroom. {There's that pesky i-word again,} She printed hers out and hung them on a binder clip in her classroom to flip through each day.<br /><br />Well I jumped ALL over that. I mean think about my trigger words here.... "customizable", "make", "calendar", "printed", "binder clip".<br /><br />For me, even stronger than pictures are quotes. I have always loved them. I filled up floppy disks with Notepad files of quotes pasted from the Internet. I have journals full of them. I screenshot them. They're my fave.<br /><br />Please don't even be surprised that they are this color or chevron or that I made it pretty. {Font is Covered By Your Grace}<br /><br /><center><iframe allowfullscreen="" frameborder="0" height="400" msallowfullscreen="" src="https://app.box.com/embed/preview/qmhehy139tvxa3o3kn114ojfqmoq4vk1?direction=ASC&theme=dark" webkitallowfullscreen="" width="450"> </iframe></center><br /><br />You. Already. Know.<br /><br />Odd numbers are quotes and even numbers are things to do.<br /><div><br /></div>I CANNOT wait to print and laminate these {I can wait for the cutting part} and hang them up in my room. Most of them came from the book <a href="http://misscalculate.blogspot.com/2016/07/unshakeable.html">Unshakeable</a> and <a href="http://misscalculate.blogspot.com/2016/07/tmc16-underwhelming-myself.html">my own blog post</a> about baby steps I will take in the classroom this year. What better way to remind myself of all my grand plans than to literally look at them every day?<br /><br />Here's to year 8: 8 is the number of new beginnings and 7 was my 7 year slump. I declare the best year yet with a newly reflective and intentional teacher!<br /><br />Cheers!<br /><br />Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com4tag:blogger.com,1999:blog-2467202639598238063.post-17617231356076611462016-07-23T23:03:00.000-05:002016-07-23T23:03:00.719-05:00#TMC16 Underwhelming Myself<span style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">It's inevitable that you will be overwhelmed at some point at TMC.</span><br style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;" /><br style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;" /><span style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">Either you're overwhelmed by all the ideas and strategies and things you must change immediately, overstimulation, fan-girling, getting up early and going to bed late, wearing real clothes, going out to eat for every meal, and so on.</span><br style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;" /><br style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;" /><span style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">At some point in those four days, my perspective shifted. I love how God's timing makes everything converge. Before TMC I read Unshakeable by Angela Watson and Mathematical Mindsets by Jo Boaler. One encouraged me, one overwhelmed me and upended what I thought I knew about teaching math.</span><br style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;" /><br style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;" /><span style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">Then when I go to TMC, I hear two specific things that echoed those books more than once:</span><br /><ol style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"><li style="margin: 0px 0px 0.25em; padding: 0px;">Time is not your most valuable resource, your energy is</li><li style="margin: 0px 0px 0.25em; padding: 0px;">So be intentional with your time and your craft</li></ol><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">So in an effort to underwhelm myself and be intentional, I'm going to share the big ideas that I'm <strike>overwhelmed</strike> inspired by and the baby steps that I will take this year, without feeling the need to change everything or change nothing.</div><br style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;" /><a href="https://twitter.com/search?q=%23expandmtbos&src=typd" style="background-color: white; color: #741b47; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">#ExpandMTBoS</a><br /><ul style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">When I read blog posts, I will actually comment on them</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">When I get on Twitter, I will answer a question or encourage someone</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">I will share resources on Twitter in addition to just asking questions</li></ul><a href="http://misscalculate.blogspot.com/2016/07/tmc16-what-do-we-have-to-learn-from.html" style="background-color: white; color: #741b47; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">Collaborate with Elementary Teachers</a><br /><ul style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Use our early release time to sit in on elementary meetings and see how they plan or RTI</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Ask elementary teachers some favorite teaching strategies</li></ul><a href="http://misscalculate.blogspot.com/2016/07/tmc16-just-enough-approach-to.html" style="background-color: white; color: #741b47; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">Intervention</a><br /><ul style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Pick one course, probably Algebra I, and list pre-skills for each skill throughout the year</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Use Kuta to create pre-assessments over the summer</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Try to create intervention boards, if even just one board per unit</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Number Talks</li></ul><a href="http://explore-math.weebly.com/" style="background-color: white; color: #741b47; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">Explore Math</a><br /><ul style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Try this on a small scale with my senior math class, especially great toward the end of the year</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Also try The Mathematician Project!</li></ul><a href="http://misscalculate.blogspot.com/2016/07/tmc16-make-it-stick-applications-in.html" style="background-color: white; color: #741b47; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">Make It Stick</a><br /><ul style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Actually read the book</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Start the year by educating students on growth mindset and come back to it all year</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Add self-assessment questions to quizzes and tests</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Regularly incorporate reflection into our INBs or as homework through Google Classroom</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Try an end of unit summary sheet for INB</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><a href="http://www.edutopia.org/blog/22-powerful-closure-activities-todd-finley" style="color: #741b47; text-decoration: none;">Actually close the lesson</a></li></ul><a href="http://misscalculate.blogspot.com/2016/07/tmc16-more-than-resources-dylan-kane.html" style="background-color: white; color: #741b47; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">More Than Resources</a><br /><ul style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Be more intentional with my blog posts...instead of just sharing resources, share how and why I created them </li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Be deliberate in practicing my questioning skills and reflecting</li></ul><a href="http://misscalculate.blogspot.com/2016/07/tmc16-31-days-of-inspiration-via.html" style="background-color: white; color: #741b47; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">Reflection</a><br /><ul style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Keep running Google Docs for each course to reflect on lessons, formative feedback for myself, and also share with the world</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Make a 31 day calendar of pictures that remind you of things to intentionally focus on on a daily basis.</li></ul><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"><a href="http://misscalculate.blogspot.com/2016/07/tmc16-race-math-and-what-were-not.html" style="color: #741b47; text-decoration: none;">Race</a></div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"><ul style="line-height: 1.4; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Follow people on Twitter that don't look like me</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Create a place for students to talk and get out of the way</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Read and engage in #educolor chats</li></ul></div><a href="https://www.amazon.com/Mathematical-Mindsets-Unleashing-Potential-Innovative/dp/0470894520/ref=sr_1_1?ie=UTF8&qid=1469165443&sr=8-1&keywords=mathematical+mindsets" style="background-color: white; color: #741b47; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-decoration: none;">Mathematical Mindsets</a><br /><ul style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Repeat growth mindset</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Continue not giving homework</li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;">Ask students to look for a visual first</li></ul><span style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">Teacher Moves</span><br /><ul style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><a href="http://misscalculate.blogspot.com/2016/07/tmc16-using-box-method-anna-hester.html" style="color: #741b47; text-decoration: none;">Factoring progression, divide with box</a></li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><a href="http://misscalculate.blogspot.com/2016/07/tmc16-getting-triggy-with-it.html" style="color: #741b47; text-decoration: none;">Trig activities</a></li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><a href="https://saravanderwerf.com/2016/06/27/secondary-number-talks-ill-convince-you-with-ducks/" style="color: #741b47; text-decoration: none;">Number Talks</a> and <a href="http://ntimages.weebly.com/points--dots.html" style="color: #741b47; text-decoration: none;">Dots</a></li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><a href="https://t.co/48UyDDxH8o" style="color: #741b47; text-decoration: none;">Never skip the close</a></li><li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><a href="http://prezi.com/6y3dqan2yok4/?utm_campaign=share&utm_medium=copy" style="color: #741b47; text-decoration: none;">Birthday functions</a></li></ul><div class="separator" style="background-color: white; clear: both; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px; text-align: center;"><a href="https://4.bp.blogspot.com/-IsPWN5oj2Gk/V5Gwajqx_bI/AAAAAAAAFOg/e7-1INIlkDo4OqTLTZGJxQ6-leoeXeYSwCLcB/s1600/IMG_5914.JPG" imageanchor="1" style="color: #741b47; margin-left: 1em; margin-right: 1em; text-decoration: none;"><img border="0" height="320" src="https://4.bp.blogspot.com/-IsPWN5oj2Gk/V5Gwajqx_bI/AAAAAAAAFOg/e7-1INIlkDo4OqTLTZGJxQ6-leoeXeYSwCLcB/s320/IMG_5914.JPG" style="border: none; position: relative;" width="240" /></a></div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"><br /></div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">For the first time, I didn't leave feeling star struck, so overwhelmed that I wanted to cry, afraid that I'm a terrible teacher, or guilty that I'm not doing enough.</div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"><br /></div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">I feel supported. These are my people. They've got my back. </div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"><br /></div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">I've decided that I will no longer be overwhelmed by TMC but I will be inspired by the great amount of good work to do and I will get started!</div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"><br /></div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">And to quote one of my favorites, "I'm committing myself to this work for years, not months- and it's okay to have miles left to go."</div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"><br /></div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;">Minneapolis was a lovely city! The weather was gorgeous, there were parks and grass and water everywhere. I did a lot of walking, shopping, and eating. I visited at least five different towns and enjoyed Augsburg College campus. I truly enjoyed myself so I hope you enjoy some pictures!</div><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"><br /></div><br /><div style="background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; line-height: 22.176px;"></div><br /><div style="-webkit-text-stroke-width: 0px; background-color: white; color: #666666; font-family: Neucha; font-size: 15.84px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 22.176px; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 1; word-spacing: 0px;"><center><iframe allowtransparency="true" frameborder="0" height="518" scrolling="no" src="https://www.facebook.com/plugins/post.php?href=https%3A%2F%2Fwww.facebook.com%2Felissamiller%2Fposts%2F10101072820386621&width=500" style="border: none; overflow: hidden;" width="500"></iframe></center><center></center><center><br /></center><center>And I would NEVER forget our annual song:</center><center></center><div class="separator" style="clear: both; text-align: center;"><br /></div><center><iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/hewgmhlKuUA/0.jpg" frameborder="0" height="266" src="https://www.youtube.com/embed/hewgmhlKuUA?feature=player_embedded" width="320"></iframe></center></div>Elissa Millerhttps://plus.google.com/110542622977827264599noreply@blogger.com9