Philip Keller

High school physics teacher with a side order of math

[Philip Keller @pckeller]

@howie_hua Btw, this is the kind of approach taken by math-y baseball fans. If you have hits in 20 out of 30 at bats, then going 5 for 5 will raise your average.

[Philip Keller @pckeller]

@howie_hua Having covered 20 miles in 30 minutes (which is less than a mile per minute) I would need to travel 5 miles in 5 minutes to get to 25 miles in 35 minutes, which is an increase...

[Philip Keller @pckeller]

@maalmeida85 @PNWPhysics @VernierST Your timing was perfect posting this. Used it yesterday in class -- it's a really nice question. I think we landed on the "expected" solution by analyzing torques around that left support. But you can also use symmetry to get an answer!

[Philip Keller @pckeller]

@mathillustrated Also, not the main point, but these are not obvious. I can’t define “simplify”. And to clear up the difference between constant and variable, also not easy. “In y = mx+b, x and y are variables and m and b are constants. Now, what happens when we change m?” Wait…you just said…

[Idan Tal @MagicPi2]

Limit

#mtbos #iteachmath #math #maths

[Philip Keller @pckeller]

@maalmeida85 I would just follow the chart.

https://t.co/ldLoAaq8bP

[Philip Keller @pckeller]

@TheReelRandom Me too today. But also the wordle bot! That does take some of the sting out of it.

[Philip Keller @pckeller]

@jamestanton Like a sudoku gone south, typos and little math-o’s are easy to make in this algorithm and then kinda hard to find. I would never have noticed it. And to be fair, you got the same answer both times. That’s good enough for me

[Philip Keller @pckeller]

@conrad_chris @mathillustrated

[Philip Keller @pckeller]

@physicsnico This happens at my school too! It's incredibly nice and not at all like I remember my own high school years. We were much crabbier back then...

[Philip Keller @pckeller]

@Hookean1 @kilroi22 This is a fun one. For contrast, you can also make a set that has equal spacing to “hear the acceleration”. And if you have sound sensors you can graph to see the spikes, either equally spaced or getting closer.

[Philip Keller @pckeller]

@jamestanton Now the coin is rolling around the inside of a circle! It has to travel further along the surface bc the surface is bending backwards.

[Philip Keller @pckeller]

@jamestanton This reminds me of the puzzle about the coin rolling around the exterior of a bigger coin. Some of the “rotation” comes from the bending of the surface it’s rolling on.

[Philip Keller @pckeller]

@pickover It's a decision we have made about notation. If you claim that √9=±3, why would we ever see the expression: ±√9 ? The fact that we do use that second expression means that we don't think that the ± is already baked in to the √ symbol.

[Philip Keller @pckeller]

@aserkin It feels like it’s only fair

[Philip Keller @pckeller]

@LouieKlein_ @NeCaHiCompSci

[Philip Keller @pckeller]

@helenrey Math and physics teacher here. I see no reason to require the arrow. And if one were to require the arrow, why only one of them? Unless there is some context that tells us x can’t be negative…

[Philip Keller @pckeller]

@Tweetlahuac It’s similar to the risk of teaching misconceptions - you can unintentionally end up, well, teaching the misconception. I vote for skipping it entirely.

[Philip Keller @pckeller]

@SecaurPhysics @msruggerio @aserkin Where’s the do not like button? I must say, this year our start time moved 40 minutes later. I am pro!

[Dan Burns @kilroi22]

Some great Desmos physics creations from Steve Stonebraker: https://t.co/kOIjjBfROA