Joshua Greene

math education hobbyist, Secretary of the PROMYS Foundation, finance guy

[Joshua Greene @JoshuaGreene19]

@ManifoldMarkets @bagelfan on Manifold

[Manifold @ManifoldMarkets]

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[Joshua Greene @JoshuaGreene19]

@benjamin_leis I'm not on the fence: I dislike this question. If it were on paper and students could use tools and not just eyeing, maybe I would hate it less.

[Joshua Greene @JoshuaGreene19]

Hmm, an angle-side-side gotcha problem where they are almost right triangles... and I think students were expected to eyeball the congruent/non-congruent ones.

[Joshua Greene @JoshuaGreene19]

@mpershan @Jd2718x @MathCurmudgeon @j_lanier @alittlestats @cheesemonkeysf @slackmath @davidwees @shskaercher @zidaya @JDHamkins @sarahgdye @kulkarni_nina @bobsonwong @MarkmanZoe @dbarnum11 @japhethwood @MrKitMath @garyrubinstein @MrOSullivanMath @msluchan @joshuazucker Late to join but...
was just talking with another educator about how discussing the historical struggle to find good definitions/structures can help students. This came up wrt calculus. That's the class where historical controversy comes up most, for me.

[Joshua Greene @JoshuaGreene19]

Argh, now being confronted with:
"Given AT ⊥ RP, show that ∠ATR is a right angle." This is clearly not always true, 9th grader sees it right away.

[Joshua Greene @JoshuaGreene19]

@JSEllenberg Shape pg 150, end of the 3rd paragraph: "Now the division works; there are 126/7 = 14 of those groups." Should be 126/7 = 18.

[Joshua Greene @JoshuaGreene19]

@JSEllenberg do you have an errata collection for Shape? Wonderful book, by the way. Another home run to match How Not To Be Wrong.

[Joshua Greene @JoshuaGreene19]

What do you like about this, what do you dislike? #mathed

[Joshua Greene @JoshuaGreene19]

@gfletchy Have you seen a high school version of your progression videos anywhere? For example, I could imagine one going through the stages of understanding variables, another for functions.

[Joshua Greene @JoshuaGreene19]

@mikeandallie TIL we are not already in the "Dark Sector."

[Joshua Greene @JoshuaGreene19]

@JustinAion I agree. In math, there does seem to have been some progress as open middle and low threshold/high ceiling activities have spread, but the willingness to consider customization is still very low.

[Joshua Greene @JoshuaGreene19]

@JustinAion Maybe I'm too pessimistic, but this sounds like an impossible task, especially if there are a very large number of parents in this category.

[Joshua Greene @JoshuaGreene19]

Great team, this should be a very good webinar!

[Joshua Greene @JoshuaGreene19]

@mikeandallie After the Ionnidis work, I sharply revised down how much published research causes me to change my beliefs (and, generally, how strongly I believe things). It is hard to know how much further to adjust down from this.

[Joshua Greene @JoshuaGreene19]

@mikeandallie That's a lot of artifacts!

[Joshua Greene @JoshuaGreene19]

@JSEllenberg May I be an honorary kid if I also don't know who he is/didn't before your tweet?

Any suggested reading order for his books?

[Joshua Greene @JoshuaGreene19]

#math Anyone in the Boston-area participating in the Tournament of Towns?

[Joshua Greene @JoshuaGreene19]

@klockmath I know a potential source, but have various reasons I don't want to publicly share. It has live/existing polls where you will see the to-date results once you answer. DM me if this will help.

[Joshua Greene @JoshuaGreene19]

On review, the student looked at the question and then started laughing.

[Joshua Greene @JoshuaGreene19]

#mathEd
Focusing on question c:
What does this student understand? What does this student not understand? Was this approach prompted by the prior questions?

Note: in this class, the circle doesn't mean it is wrong, it means that there is something interesting to discuss.