Friday, February 15, 2019

Math Links for Week Ending Feb 15th, 2019

Featured Links

If you have never used Desmos Polygraph before then you are missing out. Kids play "Guess Who?" with mathematical images. You can see so many on the Activity Builder Website. That being said, this is just a great tool for any subject. To that end, I made a tutorial on how you can create versions for other subject areas. So you might want to send this out to your non math teacher friends. There is a full video on how to make them and several examples created from different subject areas.
Curriculum Tags: All
https://wecdsbit.blogspot.com/2019/02/creating-digital-guess-who-game.html


Resource Links

One of the things we are supposed to do in Ontario is develop the formula for the area of a circle. And my favourite method is to split a circle into triangular wedges and create a "parallelogram" from the pieces. In this activity @rnhung does just that (including a neat slide where he does the derivation step by step).
Curriculum Tags: Gr8
https://teacher.desmos.com/activitybuilder/custom/5a7f66d94bddb3422ca9e626

I really love this perimeter of an irregular shape problem shared by @dpscher as it starts out with hints that it's not solvable but, in fact, can be solved. I like the fact that you can confirm the answer with some concrete manipulation that could involve algebra or just plain strategic trial and error.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P

Opinion Links
In his quest to help bring the joy back to mathematics @mathgarden posts his 100th article on Medium looking at various references to going beyond memorization and make math and play synonymous. It was nice to get a shout out as well for a term that I cannot claim as my own but often use in the context of how I want kids to interact with math: "tinker" and @BerkleyEverett's "dabble".
Curriculum Tags: All
https://medium.com/@sunilsingh_42118/dreaming-to-disrupt-mathematics-is-beginning-its-journey-back-home-de1761207985



Video/Audio Links
A new @numberphile video featuring @SimonSingh talking about two fun examples of maths (primes and binary) showing up in the TV show Futurama
Curriculum Tags: All
https://www.youtube.com/watch?v=IKwkX35bcdw

Another new @standupmaths video where he talks about how rounding issues can cause big problems.
Curriculum Tags: All
https://www.youtube.com/watch?v=0X_Hqb7qkW4


Five videos from @JamesTanton the king of joyous math all for the sake of the National Math Festival.
Curriculum Tags: All
Finger Multiplication: https://www.youtube.com/watch?v=_kSGW-BFfP8

90 Degree Rotations: https://www.youtube.com/watch?v=6deBCaMso_A

Math Salute: https://www.youtube.com/watch?v=OLO9wA56Y8s

Weird Stretch: https://www.youtube.com/watch?v=rQH4bWP923Y

Rope Folding: https://www.youtube.com/watch?v=yB_sS7LUlwU


Image Links
I love this post from @MonaChilabi showing examples all types of graphs, can you name them all?
Curriculum Tags: Gr7, Gr8, MDM4U
https://www.instagram.com/p/Bt1Fbbbn3GL/

Friday, February 8, 2019

Math Links for Week Ending Feb 8th, 2019

Featured Links
If you haven't heard yet, Desmos has updated their graphing calculator and now it includes tools for analysis and visualizations of single variable statistics. In terms of visualizations, they've added dot plots, box plots and histograms. They also have probability and binomial distributions. They a work within the confines of the graphing calculator and are also available in Activity Builder. Check out some of the features at my post below and check out @boblock's how to video.
Curriculum Tags: Gr8, MDM4U, MAP4C
https://found-data.blogspot.com/2019/02/new-desmos-statistics-package.html

The second thing from Desmos is that they are currently accepting applications for the 4th cohort of their Desmos Fellows. I was a member of last year's 3rd cohort and it's been a pretty cool year seeing behind the curtain as to how things run. But really the best part is all the new colleagues I gained both from face to face meetings a Desmos HQ but online in their company Slack channel. And it was cool to have a tiny part in testing out some of the new stats features before they went live. So check out their post and consider applying.
https://blog.desmos.com/articles/friday-fave-for-february-8/


Resource Links
Are you looking for some discussion on diagnostic assessment in the intermediate years in math, then you might consider this series of webinars put on by @goslinK123. The first one is done and there is a recording of it but there are more to come. 
Curriculum Tags: All
https://docs.google.com/document/d/1TjHnOjJARHTPZcGLEg71EEknXoG9LWnVhjHNW9IhwdM/edit






It looks like @MaryBourassa is dusting off the old Day by Day set of blog posts. In the past she's done it for MFM2P and MPM2D and now she's starting one for MPM1D. So if you are into teaching grade 9 academic you may want to follow her posts over the course of the semester. Here's the first one. 
Curriculum Tags: MPM1D
https://marybourassa.blogspot.com/2019/02/grade-9-academic-mpm1d-day-1.html




A few months ago @PaiMath posted a nice long post about taking notes in a thinking classroom. This week, he's following up with part 2 of that post. I know that the note taking aspect is one of the things I struggle with understanding the most so I appreciate this kind of long form treatment.
Curriculum Tags: All
http://intersectpai.blogspot.com/2018/11/the-thinking-classroom-note-taking-part.html

Here's a fun little Desmos Challenge Creator by @rilesblue dealing with equivalent ratios. It's pretty simple as it is just the challenge creator but here students choose their rivalry (eg Apple vs Android), create a fictitious comparison and then create some equivalent ratios. This becomes the challenge that the rest of the students in the class have to do. These Challenge Creators are an excellent way to get kids engaged in otherwise boring practice since they are creating the actual questions. 
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P, MAT1L, MAT2L
https://jennvadnais.com/2019/02/09/equivalent-ratios-challenge-creator/

Article Links
It turns out that bees can do addition and subtraction and even understand the concept of zero. Thanks to @kmarkpet for pointing out this one. 
Curriculum Tags: All
https://www.iflscience.com/plants-and-animals/even-with-their-tiny-brains-bees-can-do-additions-and-subtractions/
https://www.iflscience.com/plants-and-animals/honey-bees-can-understand-the-advanced-mathematical-concept-of-zero/

Video/Audio Links
Check out @MrOrr_Geek on Instagram. He's doing a bit of a video diary where he shows you 30 minutes of his classroom one minute at a time for 30 days. Check it out. 
Curriculum Tags: All
https://www.instagram.com/mrorr_geek/?hl=en

I found these videos this week on interpretive dance representations of statistical concepts. 
Curriculum Tags: MDM4U
https://www.youtube.com/watch?v=pGfwj4GrUlA

https://www.youtube.com/watch?v=VFjaBh12C6s

https://www.youtube.com/watch?v=5fGu8hvdZ6s&

https://www.youtube.com/watch?v=dr1DynUzjq0


Image Links
Do you have any skiers in your class? Then they may be interested in this data showing how Lyndsay Vonn is clearly a dominating force.
Curriculum Tags: MDM4U
https://fivethirtyeight.com/features/lindsey-vonn-is-the-greatest-american-skier-and-its-not-even-close/




Friday, February 1, 2019

Math Links for Week Ending Feb. 1st, 2019

Featured Links
We've been doing a lot of work in terms of conceptualizing fraction operations. This is the latest video developed by Gisele Jobin and I and the purpose of these (longish) videos are to help show teachers ways to conceptualize fraction operations by using a progression of examples. In this case, the idea is that fraction division can be done without using the standard algorithm if you just get common denominators (and then it because relatively trivial). Follow the link below for the entire playlist.
Curriculum Tags: Gr8, Gr9
https://www.youtube.com/watch?v=IlJ1ZyAbSm0&list=PLre81yNdo4MzOC0ov1a5HDPaeBd7MpAEc


Resource Links
Do you want some insight as to how Uber decides how to charge it's riders. Well @RobertKaplinski has some insight. He does it with some great and detailed discussion of mathematical modelling. But even if you don't want to do some in depth analysis of you can just use the formula to give some context for students to use formulas for real world problems to practice doing calculations with order of operations.
Curriculum Tags: Gr7, Gr8, MCR3U, MHF4U
https://robertkaplinsky.com/math-modeling-can-tell-uber-much-charge/

I really love this "remix" by @ChrisHunter36 of the standard problem: "Determine an equation of a quadratic function with vertex at (-5, 3), passing through the point (-7, 15).". Turn it into a step by step set of clues and sprinkle some appropriate use of technology in there to make it much more engaging for students with the same result. Get the downloads including the Desmos activities and powerpoint.
Curriculum Tags: MPM2D, MCF3M, MCR3U, MBF3C, MAP4C
https://reflectionsinthewhy.wordpress.com/2019/01/08/wanted-parabola/

Need a progression for developing the ideas around Pythagorean Theorem? Well then @MathyCathy has your back. Some good ideas here that go well beyond just the standard formula. Especially since it doesn't start with the formula.
Curriculum Tags: Gr8, MPM1D, MFM1P
http://www.mathycathy.com/blog/2019/01/mathresourceroundup-pythagorean-theorem/

Video/Audio Links
I like how this folksie song weaves in Andrew Wiles and Fermat's Last Theorem. Thanks to @jessrteach for pointing this one out.
Curriculum Tags: All
https://www.youtube.com/watch?v=ZPMRA4yFeeM


Seems like a simple problem but it does show the danger of trying to model with only two data points. Make sure you read the thread for the answer.
Curriculum Tags: MCR3U, MHF4U
https://twitter.com/ddmeyer/status/1089929444494458883

Image Links
Here's a pretty cool idea to do with any online graphing calculator
Curriculum Tags: MCR3U, MHF4U
https://twitter.com/PaulaKrieg/status/1090771516256604160







Friday, January 25, 2019

Math Links for Week Ending Jan 25th, 2019

Featured Links
Though on this blog I focus on resources for grades 7-12, even these students need to practice their numeracy skills. How often do you have students in your classes and silently complain that they can't do mental math? According to the Ontario Ministry's Focus on the Fundamentals document, regardless of the grade we should continue to practice these skills. Now, I am not a fan of flash cards, in general, but @BerkeleyEverett has created sets of flash cards that have a twist and require students to do more than recall facts. There are many sets already and more on the way.
Curriculum Tags: All
https://mathvisuals.wordpress.com/math-flips/

Resource Links
I'm a big fan of algebra tiles to conceptualize algebra topics and also a big fan of Desmos activity builder. In this mash up @pejorgans conceptualizes factoring quadratics with some examples. That isn't the great part (that can be done with a document camera and real tiles) but the real magic comes from the fact that there is a challenge creator at the end so that students can create their own examples to be shared and solved by the rest of the class.
Curriculum Tags: MPM2D, MFM2P
https://teacher.desmos.com/activitybuilder/custom/5c2e4696f84a2b491a0e20f0

I love the idea of the thinking classroom but one of the things that I still have trouble wrapping my mind around is the idea of student generated notes. Well if you know @AlexOverwijk then you know he is the thinking classroom master (especially in the senior grades). So it's great that he has shared a sample of student generated notes for his grade 12 Advanced Functions class.
Curriculum Tags: MHF4U
https://drive.google.com/file/d/1fUJpQZP8-UFtoXgmg1JmH2cNuLz_pozw/view


Article Links
Learning about 3D shapes and topology via knitting. Thanks to @kmarkpet for pointing this one out.
Curriculum Tags: All
https://wonderfulengineering.com/this-professor-teaches-advance-mathematics-through-knitting/


Video/Audio Links
Do you want to get your kids interested in your math class, then perhaps you should make a parody video like @MsWeissMath did. And maybe you'll get in the Toronto Star.
Curriculum Tags: MHF4U, MCR3U
https://www.thestar.com/news/gta/2019/01/14/vaughan-math-teacher-busts-a-move-in-rap-video.html

Image Links
If you want data on how NFL kickers have continued to get better over time, then @fivethirtyeight has your back. See all the graphs at the link below.
Curriculum Tags: MDM4U
https://fivethirtyeight.com/features/kickers-are-forever/

More fun stuff from @sumdumthum using dynamic colours.
Curriculum Tags: All
https://twitter.com/SumDumThum/status/1086434699583590402
A fun animation (made with @desmos) using circles (cylinders) to make a sphere. Make sure you check out the original Tweet from @jreulbach for the Desmos sketch from @malone_math.
Curriculum Tags: MPM1D, MFM1P
https://twitter.com/Lustomatical/status/1088932151305928705




Friday, January 18, 2019

Math Links for Week Ending Jan 18th, 2019

Featured Links
I absolutely loved this episode of the @numberphile podcast with Cliff Stoll. So many good stories (some sad, some inspiring) but Cliff's excitement about what he does just bleeds into the conversation. Seriously, if have never listed to a podcast and you are looking for one to start with, this episode will get you hooked on long form interviews. And Brady does a great job of asking questions and pulling stories out. And then once you listen, then go to Cliff's site Acme Klein bottle site and buy yourself a hand blown Klein bottle.
Curriculum Tags: All
https://www.numberphile.com/podcast/cliff-stoll

Resource Links
If you are doing any work with combining functions in senior math, then it is always good to give them a real example. Sound waves are a perfect example. Last week I posted a video about bells that ring with dual tones and so these two applets will help demonstrate what is going on here. One shows what happens when you add two sine functions and the other when you multiply them (both visually and auditorily - yes you can hear the sound waves). I also created a simple Desmos graph to do the same thing.
Curriculum Tags: MHF4U
Addition: https://academo.org/demos/wave-interference-beat-frequency/
Multiplication: https://academo.org/demos/amplitude-modulation/
https://www.desmos.com/calculator/c6k18gh2k9

I have mentioned the NY Times "What's Happening in this Graph" column before. Now they've teamed up with Desmos so that there will be a Desmosified version of each graph. Could be a match made in mathematics.
Curriculum Tags: MBF3C, MAP4C, MDM4U
https://blog.desmos.com/articles/whats-going-on-in-this-graph/

Here's a simple activity you can do for linear functions:
Curriculum Tags: MPM1D, MFM2P, MPM2D
https://twitter.com/mslailanur/status/1085226083958411265


Article Links
The person doing the talking is often the one doing the learning. This article talks about the benefits of students explaining their math thinking.
Curriculum Tags: All
https://www.kqed.org/mindshift/47820/how-kids-benefit-from-learning-to-explain-math-thinking

Opinion Links
This is an interesting comparison on the difference between assessing students vs replying to them and why replying is better.
Curriculum Tags: All
https://twitter.com/mreitemeyer/status/1084105692007620609

Video Links
I agree that you could probably do a fun Notice and Wonder with this.
Curriculum Tags: All
https://twitter.com/MikeFlynn55/status/1081997672674967552

Though I am not a big fan of "tricks" as something we should teach students to know and use but you could use them to practice doing math.
Curriculum Tags: All
https://www.youtube.com/watch?v=yi-s-TTpLxY


Image Links
A number of people sent me this one
Curriculum Tags: All
https://scontent-yyz1-1.xx.fbcdn.net/v/t1.0-9/50000501_2339460922778919_6081342751020941312_n.jpg?_nc_cat=1&_nc_ht=scontent-yyz1-1.xx&oh=e0fb8cdd198e8def8e99c69c649689c4&oe=5CC809AB





Friday, January 11, 2019

Math Links for Week Ending Jan. 11th, 2019

Featured Links
You may not be into doing Twitter chats but even if you don't like to participate you can still reap the benefits (even if you don't have a Twitter account. It may take a little time to get used to that mode of discussion (basically a stream of conscious) but you can read the stream at any time. Just this week there was a Twitterchat for the hashtag #swdmathchat - that is students with disabilities math chat. They posted 8 prompts and people would then respond to them. A lot of good things discussed on this week's chat. and more to come in the coming months.
Curriculum Tags: All
https://twitter.com/hashtag/swdmathchat?f=tweets&vertical=default&src=hash

Resource Links
Just in case you missed some of these, @fivethirtyeight has compiled 45 of their best and weirdest charts from the year. Even though they do a fair bit of politically based graphs, there are enough sports and other pop culture related data to make things interesting for students.
Curriculum Tags: MDM4U
https://fivethirtyeight.com/features/the-45-best-and-weirdest-charts-we-made-in-2018/




Video/Audio Links
I created a dynamic tessellation that falls apart but can be put back together.
Curriculum Tags: Gr7
https://www.desmos.com/geometry/bzhkkarxgw

I think it is hugely important to give students hands on experiences that help develop their spatial reasoning skills. This video is part of the reason why
Curriculum Tags: All
https://twitter.com/MarkChubb3/status/1083550347786944512

In advanced functions when you are talking about combining functions, if you connect that with sound waves (I used to do that) then this video is a nice application of those wave additions.
Curriculum Tags: MHF4U
https://www.youtube.com/watch?v=eMgmJEaYs70

Lots of new podcasts episodes. They guys at @MakeMathMoments have added their 5th & 6th episode. They spend an episode helping a teacher manage her resources and also do a great interview with @JamesTanton who makes you want to do math no matter what mood you are in.
Curriculum Tags: All
http://makemathmoments.com/podcast/




There have been a bunch of new @MyFaveThm episodes but only a couple of them feel like they could have some relevance to secondary school math. One comes from @stecks who talks about her 1 cut theorem that she did on @numberphile. Fun stuff. Then the episode on Assigning a value to Teamwork. And although, at first, it may not seem like it connects to secondary math, later in the episode @anil_venkatesh talks about how he uses these theorems to design video games. Something some of your students might be interested in.
Curriculum Tags: All
https://blogs.scientificamerican.com/roots-of-unity/the-queen-of-the-fold-and-cut-alphabet/
https://blogs.scientificamerican.com/roots-of-unity/assigning-value-to-teamwork/

Finally, we released our second episode at @OAMETalks. This time with @Marian_Small. It was a fun conversation that served as a preview to her webinar. One of my favourite parts was when she said: "If you personally are uncomfortable with a piece of the math you have to teach....now you are the teacher. And you owe it to the students that you teach to now take the professional responsibility to learn that stuff that you didn't learn."
Curriculum Tags: All
https://sites.google.com/oame.on.ca/oame-talks/season-1


Image Links
Do you want your kids to learn about Domain and Range but have fun doing it? Or even if Domain and Range isn't the focus and linear equations is, this works too? Why not have them create their names using straight lines?
Curriculum Tags: MPM1D, MFM2P, MCR3U
https://twitter.com/PotterAMS/status/1081288439222468608
This simple prompt can get your kids solving quadratic relations (if they choose to do it that way)
Curriculum Tags: MCR3U
https://twitter.com/jamestanton/status/1081542566670065664

Some right prisms for the holidays
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://twitter.com/davidpetro314/status/1082351188849426432

You can always count on @sumdumthum to create a super cool dynamic tessellation.
Curriculum Tags: Gr7
https://twitter.com/SumDumThum/status/1082967157137264643
Though it's not timely (I just saw it), a nice Demos generated animated gif
Curriculum Tags: All
https://twitter.com/LukeSelfwalker/status/1058808586695049216

Some fun with radians
Curriculum Tags: MHF4U
https://twitter.com/kyledevans/status/1077958858579083264





Friday, January 4, 2019

Math Links for Week Ending Jan 4th, 2019

It's the New Year and @Mr_Stadel has some advice. It's pretty simple: consider rebooting some (or all) of your class. New year and new you (or new your class). Here's some suggestions:

  • new seating arrangements
  • new warmup routine
  • new grading policy
  • new questioning strategies
  • new group work accountability structures

Curriculum Tags: All
http://www.estimation180.com/blog/reboot-your-classroom

I'm always looking for data sets to use when analyzing statistics. I house them on my blog called Found Data. This data set is about the top grossing concert tours. There is data on the amount of money, concerts attendance and more. It's mostly good for single variable analysis but there is a bit of regression that can be done.
Curriculum Tags: MPM1D, MFM1P, MBF3C, MDM4U, MAP4C
http://found-data.blogspot.com/2019/01/highest-grossing-concert-tours.html

Looking for something to read? @mathletepearce has got you covered when it comes to good reads for any math teacher. From pedagogical to recreational there is something for everyone here (even math students). In 2014 I did an Ignite session at OAME on books that revolve around math. You can see the video in the links below.
Curriculum Tags: All
https://tapintoteenminds.com/books/

Are your kids learners or performers? In this post @dylanpkane discusses the difference. I know that in my experience we always have kids that do well on tests (ie performance) but when we see those kids the next year, they often haven't retained much (ie learned). In this post, we see some research and thoughts on this dichotomy.
Curriculum Tags: All
https://fivetwelvethirteen.wordpress.com/2019/01/02/learning-versus-performance/

When you go back to school with your kids, maybe start with some of these calculations from @standupmaths that all equal 2019
Curriculum Tags: All
https://www.youtube.com/watch?v=xEh4OaXeexU

It turns out that the if the first Thursday of the year also falls on the third day of the year then it's called Thirdsday. Here @standupmaths goes through some "thirds" math (including how to remember the digits of a third :-)  ). The thing I like the most is the iterative process to breaking things into thirds
Curriculum Tags: All
https://www.youtube.com/watch?v=NinrTW1Bx2Y

Here's my Ignite session on books for math teachers and you can get all the links here.
Curriculum Tags: All
https://www.youtube.com/watch?v=yuuwAQD2n70

With the promise of more to come, @saravdwerf has been collecting #mathfails and you can see her latest collection at the link below (with the promise more).
Curriculum Tags: All
https://saravanderwerf.com/2018/07/31/math-fails-2018-set-4-87-new-pictures-to-download/

Some interesting tiling patterns from @sumdumthum
Curriculum Tags: Gr7
https://twitter.com/SumDumThum/status/1078939440259584001