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Geoff Krall, PhD

@geoffkrall

Math and the like. Asst Professor at Colorado State University. Author of 'Necessary Conditions'.

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08.10.2023
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Latest posts by Geoff Krall, PhD @geoffkrall

Update: it runs splendidly on Switch 2

05.03.2026 16:28 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

i had hidden an old blog post about Roger Schanck because I thought it was pretty mean of me. Turns out I shouldn't have hidden it bc he stinks. stick with your convictions folks

23.02.2026 18:19 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Two tropes in recipe videos that I abhor:

Feeding the dog some of your food (gross)

Squishing a sandwich or burger to make the juice / cheese ooze all over the place (also gross)

(Also not a fan scraping the knife across a piece of allegedly crispy food but whatever)

23.02.2026 00:25 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
An orange feather within two script brackets. 

From the videogame Celeste

An orange feather within two script brackets. From the videogame Celeste

New tattoo

Ultra Bonus points for anyone that knows where it's from

15.02.2026 00:00 πŸ‘ 3 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
Mitch & Mickey - When You're Next to Me
Mitch & Mickey - When You're Next to Me YouTube video by D A Smith

This is genuinely such a great song. ❀️

31.01.2026 02:20 πŸ‘ 3 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Sllllloowwwwly getting back into writing after a hectic couple of years on the new job. It'll happen I promise

29.01.2026 05:55 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

πŸ‘‘

29.01.2026 05:53 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Ordered mine! Thanks to @erininthemorning.com for putting this together every year. πŸ’Ÿ

06.01.2026 20:45 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Senator John Hickenlooper (D-CO) voted for this. You can support @senadorajulie.bsky.social in the primary to vote him out. bsky.app/profile/fasc...

16.12.2025 15:06 πŸ‘ 3 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

aw man i spent the day working and writing to the "Hero" soundtrack and now I have to rewatch "Hero" for the 50th time

11.12.2025 20:41 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

People don't talk enough about how "Bottoms" is the best high school movie of all time

26.11.2025 05:21 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

(That's sneakily why I initially posted. I want to see if I can ID some of the most dreaded topics and think how to teach em less badly)

11.11.2025 01:43 πŸ‘ 5 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

hmm why is that least favorite and/or annoying?

08.11.2025 20:06 πŸ‘ 0 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

Oh man these are both good suggestions @k8nowak.bsky.social and @triangleman.bsky.social.

I've had students want to fist fight me on these concepts just this semester.

08.11.2025 17:02 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Informal poll - what is your least favorite / most annoying middle/high school math topic to teach? #mathsky #edusky

08.11.2025 16:18 πŸ‘ 6 πŸ” 1 πŸ’¬ 20 πŸ“Œ 2

I'm ashamed to say it, but I got in a long argument with chatgpt about the area between the polar curves r=2 and r=2sin(theta).

We have agreed to disagree.

04.11.2025 20:58 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Gonna spend my extra hour tomorrow recreating all my Spotify playlists in Tidal

01.11.2025 15:46 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

ah I see

27.10.2025 02:24 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

nctm only lets you submit one session proposal?

27.10.2025 01:46 πŸ‘ 1 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

Ooooooh I would LOVE that! I had toyed with the idea of making Calc Warm ups my summer project so this would save me a ton of time that I could spend destroying my backyard instead !

19.10.2025 20:55 πŸ‘ 3 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

I do feel like Desmos Activity Builder might be a weekly (or nearly so) staple along with regular online homework.

19.10.2025 20:26 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

I'm teaching an *asynchronous* online Calc class in the Spring Semester. This is the first time I've taught in this manner. Any resources/blogs/videos/books/models or just plain ol' suggestions are very VERY welcome. #edusky #mathsky #iteachmath

19.10.2025 19:42 πŸ‘ 2 πŸ” 1 πŸ’¬ 4 πŸ“Œ 0

Oh yeah Liping Ma (1999?) is a biggun

06.10.2025 01:25 πŸ‘ 3 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

NCLB and RTTT policy wise

Danny Martins address to nctm (2017?)

Schoenfeld 1988 - Good Teaching -- Bad Results

Deborah Ball's work around PCK

TIMSS

Dan Meyers Ted talk

06.10.2025 01:24 πŸ‘ 3 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

Yeah it's tough to even definitively state whats PCK versus general pedagogy

06.10.2025 00:36 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
Three venn diagrams
1) two circles overlapping 
2) circle (pck) within a larger circle (ck)
3) same circle 
4) question mark

Three venn diagrams 1) two circles overlapping 2) circle (pck) within a larger circle (ck) 3) same circle 4) question mark

Gonna engage some first year grad students in a conversation about content knowledge (CK) and pedagogical content knowledge (PCK).

Which Venn diagram do you think best represents our current understanding of the interaction between the two? Or what would your venn look like?

#edusky #mathsky

06.10.2025 00:20 πŸ‘ 4 πŸ” 0 πŸ’¬ 3 πŸ“Œ 0

Silk Song

05.10.2025 17:50 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Update: tonight was the first time I've ever been watching TV and done the cover-the-eyes thing

Now that Alien: Earth is over I will now be cancelling Hulu.

Will I re-up if they make a season two? Only one way to find out!

27.09.2025 02:50 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

only thing I'm certain of is he could use a big ol glass of settle down juice

22.09.2025 01:59 πŸ‘ 0 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0
Excerpt from Paul Lockhart's "A Mathematicians Lament"
Teaching is not about information. It’s about having an honest intellectual relationship with
your students. It requires no method, no tools, and no training. Just the ability to be real. And if
you can’t be real, then you have no right to inflict yourself upon innocent children.
In particular, you can’t teach teaching. Schools of education are a complete crock. Oh, you
can take classes in early childhood development and whatnot, and you can be trained to use a
blackboard β€œeffectively” and to prepare an organized β€œlesson plan” (which, by the way, insures
that your lesson will be planned, and therefore false), but you will never be a real teacher if you
are unwilling to be a real person. Teaching means openness and honesty, an ability to share
excitement, and a love of learning. Without these, all the education degrees in the world won’t
help you, and with them they are completely unnecessary.
It’s perfectly simple. Students are not aliens. They respond to beauty and pattern, and are
naturally curious like anyone else. Just talk to them! And more importantly, listen to them!

Excerpt from Paul Lockhart's "A Mathematicians Lament" Teaching is not about information. It’s about having an honest intellectual relationship with your students. It requires no method, no tools, and no training. Just the ability to be real. And if you can’t be real, then you have no right to inflict yourself upon innocent children. In particular, you can’t teach teaching. Schools of education are a complete crock. Oh, you can take classes in early childhood development and whatnot, and you can be trained to use a blackboard β€œeffectively” and to prepare an organized β€œlesson plan” (which, by the way, insures that your lesson will be planned, and therefore false), but you will never be a real teacher if you are unwilling to be a real person. Teaching means openness and honesty, an ability to share excitement, and a love of learning. Without these, all the education degrees in the world won’t help you, and with them they are completely unnecessary. It’s perfectly simple. Students are not aliens. They respond to beauty and pattern, and are naturally curious like anyone else. Just talk to them! And more importantly, listen to them!

Reading Lockhart is a trip. I'll go from agreeing, to vehemently disagreeing and getting red and mad, and then agreeing again all within like a single paragraph.

22.09.2025 01:53 πŸ‘ 7 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0