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Although I think this could be a divisive issue, I don't think it's a real issue. That is, there are people that look at a question like this and say students must solve by some algebraic method. But in the way it's asked, there is no indication that a particular method is required. And so if a student were to use graphing (which is completely legitimate) or even substitution of values (also completely legitimate) they should be given full credit. Luckily, here in Ontario, we can take care of this by just asking the question in the right way. Since we have the four assessment categories, if we ask this question in this way, then it is an application question since students can choose the method that they want to use to answer. If you want to make sure they use algebraic methods then you could just tweak how you ask the question and add bit to the front end of the question "Use an algebraic method to show which polynomial is equivalent...." and now it's a knowledge questionCurriculum Tags: All
https://danmeyer.substack.com/p/are-we-teaching-tricks-or-just-different?s=w
I have people in my DMs concerned that @Desmos is helping students learn tricks to pass their state's end-of-course exams. I spent some time looking at their concerns, and the exams, in my latest newsletter. https://t.co/UZ7tZTQQQD pic.twitter.com/l9lhFQrOhn
— Dan Meyer (@ddmeyer) May 12, 2022
Resource Links
OAME 2022 - My talk this year at OAME was about introducing solving equations with a bunch of resources (Splat!, SolvmeMobiles and much more) including an update to my equation strips activities to now include physical and @desmos card sorts.Curriculum Tags: Gr7, Gr8
Presentation - http://bit.ly/oame-petro
Equation Strips - http://engaging-math.blogspot.com/2017/01/equation-strips.htmlOAME 2022 - I was the tech host for a couple of sessions from @fredouellet0 on Clothesline Math and using @Desmos and even though they were in French, there was a lot of info to be had and resources that you could adapt to english. Check them out here:
Curriculum Tags: All
https://bit.ly/CALM-OAME2022
https://bit.ly/Desmos-OAME2022OAME 2022 - @StandupMaths was one of our Keynotes at #OAME2022 and he reminded me of this great sets of data to show that you have to look at the data and not just the five number summary. All of these data sets have the same mean, standard deviation, correlation and more.
Curriculum Tags: MDM4U
https://www.autodesk.com/research/publications/same-stats-different-graphs
I like focussing on the area representations of Pythagorean Theorem. And I like it even more when people build resources to help me do that
Curriculum Tags: Gr8, MTH1W
https://twitter.com/TimBrzezinski/status/1522656683897589766
Messing around with a Pythagorean theme in @MathigonOrg : https://t.co/ezjsH6ANBx & https://t.co/9tnycbpuFA. #MTBoS #ITeachMath pic.twitter.com/ceBQLx2Kl6
— Tim Brzezinski (@TimBrzezinski) May 6, 2022
Video Links
I'm a sucker for these fractal animations that seem to go on for ever.
Curriculum Tags: All
https://twitter.com/pickover/status/1522969495526072320
Such a simple movement creates such a complex resultMathematics, fractals, infinity.
— Cliff Pickover (@pickover) May 7, 2022
This mathematical object is called a "SierpiĆski Carpet." As with other fractals of this kind, we can magnify it forever and continue to see more details. https://t.co/QviMCGywvk pic.twitter.com/ChDtQsTKh7
Curriculum Tags: All
https://twitter.com/pickover/status/1523085616262660097
Mathematics.
— Cliff Pickover (@pickover) May 7, 2022
Look closely. Each dot moves around a little square. https://t.co/KJ21ZCQCDP pic.twitter.com/FS0CEqnyyW
Image Links
These sorts of comparisons are always good for a rich discussion on percents
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/realJ_Mitchell/status/1522983399107055617
It's pretty cool that this is a quiltDiscussion while shopping.
— Jamie Mitchell (@realJ_Mitchell) May 7, 2022
“What’s the better deal?”
Now wondering how to turn this into a #ThinkingClassroom task for Monday. pic.twitter.com/O0SoPAgtlL
Curriculum Tags:All
https://twitter.com/GeomeTribal/status/1522850900632641536
Take a moment to appreciate the amazing optical effect of this 19th-century quilt. The black triangles create a deep background, really emphasizing the 3D effect!
— Ancient Geometry (@GeomeTribal) May 7, 2022
Besides its great design, this quilt also holds a bit of history.
(Thread) pic.twitter.com/t96dC3kTwM
Do you have kids working with Square Roots? Have them try to prove this is true
Curriculum Tags: MTH1W
Wow. Ramanujan's equation. Goes forever. Equals 3. Click to magnify. pic.twitter.com/QgRQJMz19w
— Cliff Pickover (@pickover) May 7, 2022
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