Philip Keller

@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.

@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...

For today's Mental Math Monday, how would you mentally calculate which is faster? 20 miles in 30 minutes or 25 miles in 35 minutes

@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!

Simple translational equilibrium lab in our unit on Forces, Torque, and construction. Just need 2 @VernierST force sensors, meter stick, and mass(es) #iteachphysics #modphys

@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…

Students develop understanding of mathematical definitions through examining formal definitions and working with provisional ones. This is good pedagogy. #iTeachMath

Limit #mtbos #iteachmath #math #maths

@maalmeida85 I would just follow the chart. imgs.xkcd.com/comics/differe…

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

Wordle 1,214 X/6 ⬛⬛⬛⬛🟨 ⬛⬛⬛🟩🟩 ⬛🟩⬛🟩🟩 ⬛🟩⬛🟩🟩 ⬛🟩⬛🟩🟩 ⬛🟩⬛🟩🟩

Fuck #Wordle today sucked. That’s all .

@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

One thing to notice is my typo!

What do you notice? What do you wonder? What can you explain? #iteachmath #MTBoS

@conrad_chris @mathillustrated

@pckeller @mathillustrated Any word about AP Calc?

@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...

@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.

Physics teachers. Great idea from Jeff Bigler

@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.

Wheel of radius 1 makes one full rotation if rolls distance 2π along a straight segment, or a distance 3π/2 over a 90° kink. What about on the inside of a 90° kink, down one side then up other? Generalize for kinks of a general angle θ.

@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.

A wheel of radius 1 makes one full rotation if it rolls along a segment 2π long. But what if that segment as a 90° kink? How long should the segment be now? (Assume starts at endpoint with a radius perpendicular to the segment and ends similarly.)

@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.

This is a math joke, circulating widely on the Web.

@aserkin It feels like it’s only fair

Anyone else add items they’ve completed to their to do list just so they can cross them off?

@LouieKlein_ @NeCaHiCompSci

Teaching is actually a super easy job now here in the 2020s because we have 49 apps and websites that we get to use on the daily that basically do the job for us…. Right?

@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…

Calling math(s) teachers. Would you tell students to put an arrow on a line of best fit? As in the one on the left? Why? #iteachmaths #iteachmath

@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.

im teaching a new (to me) course and there is a learning styles (LS) lesson in the curriculum. what should i do?

@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!

Some great Desmos physics creations from Steve Stonebraker: camphortree.net/blog/desmos/