These I draw every year I teach algebraic geometry (to be honest, for the ring I use C instead of R because the students must learn to draw R and see C)

Whoa! I'd seen pictures of fat points before, but it was always just a thicker dot.

How do you decide what shape to draw? I think I get it for most of these, but I'm wondering about the (x^2,y^2,xy) example. What would you draw for (x^4,y-x^2) compared to your (x^3,y-x^2)?

Academics who are able to write and explain well get known for it. Don't let the others dissuade you. Cultivating your writing alongside your science will make you a better communicator and better thinker.

Let me be an alternative voice to the other senior academics ☝️.

I agree w/ you, Arula. Even technical academic papers can still be well-written. Most aren't. I might prefer a well-curated bulleted list over a poorly-written paper (maybe).

But I would *much* rather people learned to write well.

Sad to see about CS for All. I remember them being a good organization, and I assume/hope they still are doing a lot of that good work, e.g. readyct.org/wp-content/u...

(PS Please remember to use alt text!)

Sorry you have to deal with that 😢

Can attest!

Happy to be in such rarefied company 😂

Reply to reviewer: Reviewer 2 called our results trivialities but we maintain they are in fact quite deep.

But why do you think that? /s

When you are using the "AI" framing, does the way you talk about "AI" carry water for the Sam Altmans of the world? That is, are you helping to paint a picture of their tech as inevitable, all powerful, and/or anything other than commercial products?

>>

Right, so maybe a better way to frame the question of the thread is, what are good ways to teach people how to meaningfully contribute w/o setting themselves up as smarter / better / faster / superior?

But if the student has already solved the problem, they may not know how to meaningfully contribute without "giving the answer away" other than by attempting to teach their peers, so they need alternatives in that situ.

Very different than taking on teacher/leader role just b/c they feel like it.

I wouldn't reinforce the false idea he is better, ofc!

But there is different advice to give to a student who has solved a problem b4 other students (which could happen to the same student on some problems & not others).

In either case there are social/collaborative skills to be advised on but...

I agree they can learn! But I still think I'd give different advice to a student who was in this position because they are in fact solving problems faster than others vs a student who is still working through the material at roughly the same pace as others but acting like this for other reasons.