Saturday, September 14, 2019

Math Links for Week Ending Sept. 13th, 2019

Featured Links
So fun, @saravdwerf has a new set of #mathfails and now has over 400 download them all at the link below and have your kids find all the fails. Great for numeracy based investigation. It's as simple as asking "what is the math fail?"
Curriculum Tags: All
https://www.saravanderwerf.com/math-fails-2019-set-5-112-new-pictures-to-download/





Resource Links
Here is some info on some important female mathematicians. Perfect for both your male and female students to be aware of. And then when you're done, maybe get a #mathgals shirt. Thanks to @stevenstrogatz for pointing this out.
Curriculum Tags: All
https://bust.com/feminism/15871-12-brilliant-female-mathematicians-you-should-know.html




Opinion Links
I have been saying this for years. Since the 2015 PISA results came out. The idea that our students are, despite popular belief, actually quite good at basic math. Thanks to @EcoKrisb for pointing this one out.
Curriculum Tags: All
https://www.thespec.com/opinion-story/9580089-ontario-barking-up-the-wrong-tree-on-math-scores/


Video Links
I totally love this comparison of the volume of a cylinder, sphere and cone from @openupresources. Thanks to @TrianglemanSD for pointing this out.
Curriculum Tags: MPM1D, MFM1P
https://vimeo.com/197549505

volume of cylinder sphere and cone from Open Up Resources on Vimeo.

Image Links
Combine symmetry and number sense
Curriculum Tags: Gr7, Gr8
https://twitter.com/MarkChubb3/status/1172323386413875200


What a nice visual and discussion piece.
Curriculum Tags: Gr7, Gr8
https://twitter.com/MarkChubb3/status/1172329181369126913

Give your students this problem when you are talking about powers of 2
Curriculum Tags: Gr8, MPM1D, MFM1P
https://twitter.com/brilliantorg/status/1172495232778276870
Some palindromic number in the dates this week. Thanks to @kmarkpet for pointing this out
Curriculum Tags: All
https://twitter.com/weathernetwork/status/1171493541345935360


A weird set of data for sure but important to see, none the less
Curriculum Tags: Gr7, Gr8, MDM4U
https://www.instagram.com/p/B2Rtx3qlklJ/



Friday, September 6, 2019

Math Links for Week Ending Sept. 6th, 2019

Featured Links
School has been starting in many districts now for weeks. But with Labour Day passing, I think we've all started now. One thing I will be focussing on in my new school of grade 7&8s is basic skills. Beyond the regular curriculum that needs to be taught I want teachers to continually provide activities so students can practice their numeracy skills. These Math Flips from @BerkleyEveret are a great way to rethink the idea of a flash card.
Curriculum Tags: All
https://mathvisuals.wordpress.com/math-flips/

Resource Links
I am curious how you would use this to "cause a headache" for students to give them a reason to learn trig. Thanks to @Joe_Sisco for pointing this one out.
Curriculum Tags: MPM2D, MFM2P, MCF3M, MCR3U, MBF3C
https://twitter.com/psmithdad/status/1169675631530921984

Opinion Links
In this post, @MarkChubb3 takes a look at how important multiple solutions are but only if we understand the strength of each solution (and the pitfalls of only showing students the "best" solution.
"While multiple strategies are helpful to know, it is important for US to know which strategies are early understandings, and which are more sophisticated.  WE need to know which students to push and when to allow everyone to do it THEIR way, then hold a math congress together to discuss relationships between strategies, and which strategies might be more beneficial in which circumstance."
Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2019/09/04/the-more-strategies-the-better/

Video Links
I remember as a kid, the teacher telling us the "trick" about greater than or less than by considering the alligator's mouth without worrying about understanding. This video from @BerkleyEveret does a great job of visualizing their meanings without a trick.
Curriculum Tags: All
https://twitter.com/BerkeleyEverett/status/1167615042977554433
I don't seem to get tired of these dynamic bar graphs of "popularity" of what ever happens to be the flavour of the day. In this case, browser popularity.
Curriculum Tags: MDM4U
https://twitter.com/ericcurts/status/1167812867065884673

I know this is an animation but I still really like it. A lot of math going on. Especially trig
Curriculum Tags: MCR3U
https://twitter.com/ZonePhysics/status/1168282576458588160
I love these animations where what seems to be complex motion can have a hidden simpler motion embedded. In this case some sinusoidal motion along a straight line.
Curriculum Tags: MCR3U
https://twitter.com/doubleroot/status/1168908542759358474

I don't think you will have students looking for some of these but it's a great crossover between computing and mathematics dealing with powers and integers.
Curriculum Tags: All
https://www.youtube.com/watch?v=zyG8Vlw5aAw




Image Links
Another reason that you shouldn't resort to "Tricks" - they expire. Thanks to @HThiesmejer for pointing this one out.
Curriculum Tags: MPM1D, MFM1P
https://twitter.com/QueenMel99/status/1167560147088105472
I wonder what the thinking is hear?
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://twitter.com/Trianglemancsd/status/1168595759337496578

I continue to like @MonaChalabi's style and choice of subject area for her visualizations.
Curriculum Tags: MDM4U
https://www.instagram.com/p/B1eTZp4FrOd/




Friday, August 30, 2019

Math Links for Week Ending Aug. 30th, 2019

Featured Links
I think any time you can take an abstract concept and make it more visible, then it's a benefit for students. In this case the concept is exponential growth and Desmos has released a new activity to get kids talking about, what looks like, cell division. 

Resource Links
Some fun with infinite series.
Curriculum Tags: MCR3U
https://twitter.com/fermatslibrary/status/1166324490760065024

Opinion Links
Some nice insights from @MarkChubb3 on the differences between some of the categories of the achievement chart here in Ontario.
Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2019/08/21/the-types-of-questions-we-ask-which-categories-of-questions-should-we-focus-on/


Video Links
If you have some time to kill then you might try to replicate this
Curriculum Tags: All
https://twitter.com/Ayliean/status/1163208862587076608

A nice visualization of scaling a vector. Watch the video then play with the Geogebra file.
Curriculum Tags: MCV4U
https://twitter.com/dynamic_math/status/1163797833457291275
This cube dissection is pretty cool. Especially the 3D printed version that @MikeandAllie made (see below) and it reminds me of these two constructions seen below as well.
Curriculum Tags: MPM1D, MFM1P, MFM2P
https://twitter.com/gregeganSF/status/1160801098594054145

https://twitter.com/mikeandallie/status/1160951997731921920



Image Links
What fractions do you see?
Curriculum Tags: Gr7, Gr8
https://twitter.com/crstn85/status/1163858895623905280
I wish I would have had this advice when I started as a math coach
Curriculum Tags: All
https://twitter.com/fawnpnguyen/status/1164926849190731777
Know your numbers
Curriculum Tags: All
https://twitter.com/centerofmath/status/1164882313567703040

Friday, August 23, 2019

Math Links for Week Ending Aug. 22rd, 2019

Featured Links
Words matter. Here are some suggestions from @MrsForrest dealing with different ways that you can avoid labelling kids as "high" or "low". Thanks to @BerkleyEverett for pointing this out.
Curriculum Tags: All
http://showyourthinkingmath.blogspot.com/2018/05/the-low-kids-and-high-kids.html

Resource Links
Some information about women in mathematics who have have had female students who have become mathematicians and the chains of mentors and students that came of that.
Curriculum Tags: All
https://twitter.com/evelynjlamb/status/1160932947031015425

I like this dynamic tessellation from @MathHombre. It reminds me of this one that I did in Desmos and WebSketchpad.
Curriculum Tags: Gr7
https://twitter.com/mathhombre/status/1162392153001213959
Video & Audio Links
Listen to @ProfKeithDevlin talk about how the needs of math students have changed and how we should change the way we teach and what we teach to match.
Curriculum Tags: All
https://www.wvxu.org/post/npr-math-guy-keith-devlin-new-math-skills-we-need-future


Working with ratios? Try a ratio table
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://twitter.com/PamHarrisConsu1/status/1161442867895840768
Here is a really interesting construction with a surprising result.
Curriculum Tags: MPM1D, MFM1P
https://twitter.com/dynamic_math/status/1162349898160910336
Wow, make sure you check out all of the comments for the different dynamic versions of this.
Curriculum Tags: All
https://twitter.com/MathCeyhun/status/1162015492644704258
Image Links
A fraction question for you
Curriculum Tags: Gr7, Gr8
https://twitter.com/jamestanton/status/1160179112360603649

Have your students test their algebraic skills with this problem connected to the quadratic formula
Curriculum Tags: MCR3U
https://twitter.com/jamestanton/status/1161350279637491716
Some cool cross sections of a cube. And if you want the high res Illustrator version, check out the comments and below is the dynamic "water" version from @shonk
Curriculum Tags: All
https://twitter.com/Trianglemancsd/status/1161464188348313600
Here is the dynamic version
Curriculum Tags: All
https://flotsam.sellingwaves.com/post/90811439361/if-you-fill-a-cube-with-water-the-shapes-the

Who doesn't like a good Calculus joke. Thanks to Mark Naber for this one
Curriculum Tags: MCV4U




Friday, August 16, 2019

Math Links for Week Ending Aug. 16th, 2019

Featured Links
I like these two spacial reasoning puzzles that @mathequalslove has created templates for. Check them out and how she uses them at the links below:
Curriculum Tags: All
https://mathequalslove.blogspot.com/2019/07/square-pi-puzzle.html
https://mathequalslove.blogspot.com/2019/07/1-4-5-square-challenge.html


Resource Links
Are you a Websketchpad user? Then you might want to check out some of the new features which includes function notation tools.
Curriculum Tags: All
http://www.sineofthetimes.org/catching-up-with-new-web-sketchpad-functionality/


Video Links
Ok so this video starts off with some pretty tame graphs but the last few are just crazy. Either way, have your kids try some of these complex relationships.
Curriculum Tags: MCR3U
https://www.youtube.com/watch?v=pAMgUB51XZA

Man I need a 3D printer
Curriculum Tags: All
https://twitter.com/ThamKhaiMeng/status/1157962976474873861
Here's a nice visual representation for a series.
Curriculum Tags: MCR3U
https://twitter.com/MagicPi2/status/1159849203553767425

Image Links
Interesting burger visualization
Curriculum Tags: MDM4U
https://flowingdata.com/2019/08/06/best-burger-ranks/


Friday, August 9, 2019

Math Links for Week Ending Aug. 9th, 2019

Featured Links
I really like the idea of starting the year of with students by finding out about their relationship with math. Here is a few possible questions you can ask them.
Curriculum Tags: All
https://twitter.com/howie_hua/status/1158860573469106176
Resource Links
A new activity from Desmos is here to help students describe various transformations using informal language. Try it out
Curriculum Tags: Gr7, Gr8
https://teacher.desmos.com/activitybuilder/custom/5d4380d4fc08cd0a943e099d/
OK it's back again, that order of operations problem. But this time @StevenStrogatz has done a great job of telling us why there is an issue in the first place. It's the first really clear reference and explanation of the idea of the effects of implicit multiplication. I have been describing this for a couple of years about this problem but this is a great one stop shopping place for a clean concise explanation.
Curriculum Tags: All
https://www.nytimes.com/2019/08/05/science/math-equation-pemdas-bodmas.html?smid=nytcore-ios-share


Opinion Links
And if you are tired of those order of operations questions then you might be ready for @StevenStrogatz's more interesting essays on mathematics.
Curriculum Tags: All
https://twitter.com/stevenstrogatz/status/1158382357151399941
Video Links
Man, @dynamic_math does a great job of maximizing the potential of Geogebra's 3D engine
Curriculum Tags: MPM1D, MFM1P, MPM2D, MFM2P
https://twitter.com/dynamic_math/status/1159173087969124352
Image Links
Some great comparisons from @MonaChalabi based on this week's mass shootings. Make sure you scroll through all the images.
Curriculum Tags: MDM4U, MAP4C
https://www.instagram.com/p/B01POJ7Fwai/


View this post on Instagram

SWIPE TO SEE HOW THE MEDIA DISTORTS REALITY >>> The study where I got these numbers had this conclusion: “๐•‹๐•™๐•š๐•ค ๐•จ๐• ๐•ฃ๐•œ ๐•—๐•š๐•Ÿ๐••๐•ค ๐•ฅ๐•™๐•– ๐•ž๐•–๐••๐•š๐•’ ๐•š๐•ค ๐••๐•š๐•ค๐•ฅ๐• ๐•ฃ๐•ฅ๐•š๐•Ÿ๐•˜ ๐•ฅ๐•™๐•– ๐•ฃ๐•–๐•’๐•๐•š๐•ฅ๐•ช ๐• ๐•— ๐•ž๐•’๐•ค๐•ค ๐•ก๐•ฆ๐•“๐•๐•š๐•” ๐•ค๐•™๐• ๐• ๐•ฅ๐•š๐•Ÿ๐•˜๐•ค… ๐•‹๐•™๐•– ๐•š๐•ž๐•ก๐•๐•š๐•”๐•’๐•ฅ๐•š๐• ๐•Ÿ๐•ค ๐• ๐•— ๐•ฅ๐•™๐•š๐•ค ๐•ก๐• ๐•ฅ๐•–๐•Ÿ๐•ฅ๐•š๐•’๐• ๐•ž๐• ๐•ฃ๐•’๐• ๐•ก๐•’๐•Ÿ๐•š๐•” ๐•ž๐•’๐•ช ๐•“๐•– ๐•š๐•ž๐•ก๐•’๐•”๐•ฅ๐•š๐•Ÿ๐•˜ ๐•ก๐• ๐•๐•š๐•”๐•ช ๐•ฃ๐•–๐•ค๐•ก๐• ๐•Ÿ๐•ค๐•–๐•ค ๐•ฅ๐•  ๐•ฅ๐•™๐•– ๐•ก๐•™๐•–๐•Ÿ๐• ๐•ž๐•–๐•Ÿ๐• ๐•Ÿ... ๐•‹๐•™๐•– ๐•ฃ๐•–๐•ค๐•ฆ๐•๐•ฅ๐•š๐•Ÿ๐•˜ “๐•ค๐•ช๐•ž๐•“๐• ๐•๐•š๐•” ๐•๐•–๐•˜๐•š๐•ค๐•๐•’๐•ฅ๐•š๐• ๐•Ÿ” ๐•ฅ๐•™๐•’๐•ฅ ๐•ฅ๐•’๐•ฃ๐•˜๐•–๐•ฅ๐•ค ๐•ฅ๐•™๐•–๐•ค๐•– ๐•™๐•š๐•˜๐•™๐•๐•ช ๐•ก๐•ฆ๐•“๐•๐•š๐•”๐•š๐•ค๐•–๐•• ๐•ฃ๐•’๐•ฃ๐•– ๐•š๐•Ÿ๐•”๐•š๐••๐•–๐•Ÿ๐•ฅ๐•ค ๐•š๐•ค ๐•ค๐•ฆ๐•“๐•ค๐•–๐•ข๐•ฆ๐•–๐•Ÿ๐•ฅ๐•๐•ช ๐•—๐•’๐•š๐•๐•š๐•Ÿ๐•˜ ๐•ฅ๐•  ๐•’๐••๐••๐•ฃ๐•–๐•ค๐•ค ๐•ฅ๐•™๐•– ๐•๐•’๐•ฃ๐•˜๐•–๐•ฃ ๐•ž๐•’๐•ค๐•ค ๐•ก๐•ฆ๐•“๐•๐•š๐•” ๐•ค๐•™๐• ๐• ๐•ฅ๐•š๐•Ÿ๐•˜ ๐•ก๐•ฃ๐• ๐•“๐•๐•–๐•ž: ๐•ก๐•–๐•ฃ๐•ก๐•–๐•ฅ๐•ฃ๐•’๐•ฅ๐•–๐•• ๐•“๐•ช ๐•ก๐•ฃ๐•–๐••๐• ๐•ž๐•š๐•Ÿ๐•’๐•Ÿ๐•ฅ๐•๐•ช ๐•จ๐•™๐•š๐•ฅ๐•–, ๐•ž๐•š๐••๐••๐•๐•–-๐•’๐•˜๐•–๐•• ๐• ๐•—๐•—๐•–๐•Ÿ๐••๐•–๐•ฃ๐•ค, ๐•ฆ๐•ค๐•š๐•Ÿ๐•˜ ๐•™๐•’๐•Ÿ๐••๐•˜๐•ฆ๐•Ÿ๐•ค ๐•š๐•Ÿ ๐•’ ๐•จ๐• ๐•ฃ๐•œ๐•ก๐•๐•’๐•”๐•– ๐•ค๐•–๐•ฅ๐•ฅ๐•š๐•Ÿ๐•˜๐•ค." Sources: Mother Jones database 1982-2019 and the International Journal of Comparative and Applied Criminal Justice, 2019
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Friday, August 2, 2019

Math Links for Week Ending Aug. 2nd, 2019

Featured Links
I came across this Tweet from @ddmeyer and kind of dismissed it but later on I saw a reply in the thread that said this:"You're gonna say something this year – it might feel innocuous and forgettable – that one of your students will be recounting with his voice cracking TWENTY YEARS LATER." That got me curious and looked at the thread. It was in response to something a principal (who was part of the audience) said: "One principal told me afterwards about the time in 7th grade that he felt belittled by his math teacher and gave up on math.". No doubt, that we have all done this at one time or another. Makes you really think about the power and influence we have and how we can affect the most vulnerable students so easily. Read the whole thread below:
Curriculum Tags: All
https://twitter.com/ddmeyer/status/1157353070814216192
And along a slightly different line, @CarlOliwitter has started a new hashtag (and slow chat) #MakeMathJust to talk about social justice and equity issues in mathematics. Check out the conversation at the link below
Curriculum Tags: All
https://twitter.com/hashtag/makemathjust?src=hashtag_click&f=live

Resource Links
I probably should have posted this last week but you might still have some time to see some of these webinars from so many good speakers in this year's Building Math Minds Summit. you can see them from the link below and if you are too late, at least you can get something out of the back channel hashtag #BuildMathMinds19
Curriculum Tags: All
https://mathematicallyminded.lpages.co/vms-speaker-page-day-1/



Well, I guess it's that time. And by that, I mean time for another one of those "viral" math problems. This time it's another one of those "BEDMAS/PEMDAS" debates dealing with implied multiplication: 8/2(2+2). Now, full disclosure, I would have been one arguing for the answer 16 but now I am firmly in the 1 camp. Of course, by standard order of operation rules, the answer would be 16 but like most things in school, we don't give the whole picture and it turns out that there is a rule about implied multiplication that gives it precedence. You can read a thread I posted about this issue a couple of years ago here where, among other things, you can see an explicit mention of this rule in a calculator manual. That being said, I do like @StevenStrogatz's take on it which is more to talk about the importance of notation than to give the correct answer. Thanks to @JPJacula for pointing this one out.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://www.huffingtonpost.ca/entry/math-problem-twitter-bedmas-pemdas_ca_5d420367e4b0acb57fc6b0fd

Some cool ideas answering the question "What math teaching strategies works best?" from @mashupmath. With answers from a bunch of educators (including some Ontario teachers @mathletepearce, @mathgarden, @BrianAspinal and @MarkChubb3). Thanks to @BartVanslack for pointing this out
Curriculum Tags: All
https://mashupmath.com/blog/math-teaching-strategies-featuring-jo-boaler

Image Links
I thought this graph was pretty telling and probably something every teacher should be aware of. It was in response to @ddmeyer's Tweets from above.
Curriculum Tags: All
https://twitter.com/MathPhan/status/1157382411375861761