Kendra Lockman

I teach math. I'm a parent. I like art and science. I sometimes do art and science. I have lots of opinions and lots of questions.
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[Kendra Lockman @klockmath]

@DavidKButlerUoA @WRoberts3 I love that you're both using this comment to reflect on your teaching. :)

[Kendra Lockman @klockmath]

@MurrayH83 These patterns are so lovely. It looks like you're enjoying your blocks. :)

[Kendra Lockman @klockmath]

I had long described limits to students as trying to predict where you might end up, if you were somehow traveling along a function graph and it was really foggy.

[Kendra Lockman @klockmath]

I still haven't mastered parametric coloring in @Desmos. Anyone wanna help?
I'm trying to create a graph that only graphs within a "foggy window" around a given point.
https://t.co/KB5u2DiMmK #MTBoS #iteachmath

[Kendra Lockman @klockmath]

Okay, here's the thing that I was building. This is an idea that I had brewing for introducing the concept of limits. #mtbos #iteachmath
https://t.co/htJEEHYK0c

[Kendra Lockman @klockmath]

@MurrayH83 The bottom left is the only one in which green tiles share some edge

[Kendra Lockman @klockmath]

@MurrayH83 The top left is the only one in which red tiles share some edge

[Kendra Lockman @klockmath]

@MurrayH83 The bottom right is the only one without horizontal edges.

[Kendra Lockman @klockmath]

@MurrayH83 The top-right is the only one that is not a hexagon

[Kendra Lockman @klockmath]

@MurrayH83 The bottom right is the only one that is not 2-fold rotationally symmetric.

[Kendra Lockman @klockmath]

@aknauft @Desmos That's perfect, thanks. I am still struggling with making parametric color intuitive.

[Kendra Lockman @klockmath]

@aknauft @Desmos Thanks! The image with transparent gradient is a slick move... and it might even help with my greater purpose.

[Kendra Lockman @klockmath]

@jamestanton I don't think we could get more than 3 in arithmetic progression, because the only way to have a prime result is to have (n-1) of the numbers be units, and there are only 2 units in the integers.

[Kendra Lockman @klockmath]

@jamestanton Yes! -1 * 1 * 3 is prime!

[Kendra Lockman @klockmath]

@SweenWSweens Hey! I'm trying to play both of these with my kiddo, but the codes are inactive. Can you re-activate? (We'll probably play on Tuesday)

[Kendra Lockman @klockmath]

@dpscher It didn't in the original, but this one does.
https://t.co/SUTsfWeGj8

[Kendra Lockman @klockmath]

I made this as an exploration of geometric definitions of conics. Comments welcome.
https://t.co/vJB1KN35HJ
#iteachmath #MTBoS

[Kendra Lockman @klockmath]

@dpscher I'm thinking a lot about the features and curious how intuitive they are. Building this thing in Sketchpad may be easier, but I wonder if the desmos version is more intuitive for someone who's coming in fresh. I can't tell because I'm def *not* fresh.

[Kendra Lockman @klockmath]

@dpscher I just watched the recording of yesterday's desmos live. So exciting. I was definitely thinking about this construction!

[Kendra Lockman @klockmath]

btw my desmos graph was influenced by @dpscher's book Exploring Conic Sections with Sketchpad. I appreciate the encouragement to play and explore in the book, and I equally appreciate how easy it is to build (and extend) conic sections using the distance function in Desmos.

[Kendra Lockman @klockmath]

omgosh I just blew my own mind by "extending" the definition of an ellipse to include a 3rd point. I thought I would get something roughly akin to wrapping a string around 3 thumbtacks, but I did not.