Pawan Kumar

[Pawan Kumar @mathypk]

@pickover Are you sure each set is larger than the next?

[Pawan Kumar @mathypk]

CollegeBoard for Precalculus:

[Pawan Kumar @mathypk]

Thoughts about the endpoints? This is in the precalculus handout. @stevenstrogatz @Trianglemancsd @mpershan

[Pawan Kumar @mathypk]

CollegeBoard for Calculus:

[Pawan Kumar @mathypk]

A trig problem here, anyone? @stevenstrogatz @mpershan @Trianglemancsd

[Steven Strogatz @stevenstrogatz]

My latest for @nytimes -- please repost so your followers can see this for free. https://t.co/ReWae73oXW

[Pawan Kumar @mathypk]

@RupertG87170562 @drmichaellevin A lot comes down to individual teachers. And teaching styles change over time.

It's not black and white that East teaches one way and West another.

[Pawan Kumar @mathypk]

@RupertG87170562 @drmichaellevin FOIL is a trick I learned about in the US for the first time. It's even included in text books.

If you understand the distributive property, why memorize a trick for multiplying two binomials?

[Pawan Kumar @mathypk]

@stevenstrogatz,
Would love to see you talking to
@drmichaellevin on some forum/podcast.

Please watch this if you are unfamiliar with his work. https://t.co/uV9Z9m1a8c

[Pawan Kumar @mathypk]

@stevenstrogatz @JobyOtero Is "associated from" also acceptable then?

[Pawan Kumar @mathypk]

@stevenstrogatz @CPierre67 I have heard the past participle abuse primarily from native US English speakers. They include engineers and nurses - so education is probably not the main factor here.

Examples:

"I have wrote."

"I have ate."

[Pawan Kumar @mathypk]

@just0and @stevenstrogatz @philipcball Mapping used to be explained as: related to

Associating feels like connecting, somewhat more active/concrete.

I took some time accepting "different to" - I came from the "different from" world.

My pet peeve is the abuse of the past participle - "I have ate."

[Pawan Kumar @mathypk]

Normal state

[Pawan Kumar @mathypk]

@stevenstrogatz vector field!

Fine instant coffee powder on a statically charged plastic spoon. The particles started jumping to the nearby cup.

[Pawan Kumar @mathypk]

@RobJLow @stevenstrogatz @michael_pakaluk That's what continuation is, in general.

[Pawan Kumar @mathypk]

Also got to introduce the concept of continuation for the first time.

[Pawan Kumar @mathypk]

@ddmeyer @stevenstrogatz @Trianglemancsd @mpershan 12yo: Is it possible to have a 2-sided polygon?

I: What do you think?

He (after some thought): It's possible on a sphere!

That led to a discussion on a possible reasonable continuation (< 3 sides) on a Euclidean plane.

[Pawan Kumar @mathypk]

@00aleph00 @nivik1022 That is why there is a separate description - continuously differentiable

[Pawan Kumar @mathypk]

@greg_ashman @mathillustrated I need to understand their existing mental models and connections. Sometimes I need to go back and re-teach prerequisite concepts.

Do they know/remember what quadratic means? Or solving? And what's the point of doing it?