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Jo Boaler just showed me what a typical Japanese textbook looks like. Check out the thickness… Not!
In the next series of tweets, I’ll show you just how much thinking is expected from students. I love how conceptual and interesting these textbooks are. And this is for fifth grade!
Notice they are suggesting different ways to solve the same problem. Just like real mathematicians do
Beautiful, different ways to understand why the angles of a triangle add up to 180°
Some serious creativity and thinking is expected of students. Why not! Come on America, wake up.
One place to read more about the Japanese approach as compared to the American approach is in the book “Building a Better Teacher” by Elizabeth Green, @elizwgreen: google.com/search?client=…
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Steven Strogatz
@stevenstrogatz
I've long worried about this, and it is starting to happen: Some students aren't sure which way is "clockwise" anymore. (The screenshot below is from a student's answer on a test I just gave, in which the word "counterclockwise" was used.) #DeathOfAnalog
Just to clarify, since some people in the thread below found my tweet confusing: The image shown in the tweet is not the answer to a test question; it’s a mnemonic diagram that a student drew to help himself or herself remember which way is counterclockwise.
The mnemonic is drawn correctly (obviously!) and I have no objection to that. Nor do I have any objection to students using mnemonics; they can be helpful, especially during the stress of a test. What I found amazing was that the student felt the need to draw such a mnemonic.
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Steven Strogatz
@stevenstrogatz
In this more sophisticated convention, which is often used in algebra, implicit multiplication (also known as multiplication by juxtaposition) is given higher priority than explicit multiplication or explicit division (in which one explicitly writes operators like × *  / or  ÷).
Under this more sophisticated convention, the implicit multiplication in 2(2+2) is given higher priority than the explicit division implied by the use of ÷.
That’s a very reasonable convention, and I agree that the answer to the original question is 1 if we are using that convention.
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