High school physics teacher with a side order of math
New Jersey, USA
Joined July 2009
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Philip Keller retweeted
Some great Desmos physics creations from Steve Stonebraker: camphortree.net/blog/desmos/
Philip Keller retweeted
One of the added benefits when I prep for doing a @Desmos PD for a school, is it forces me to play with all the tools and I always learn new stuff. This is my new favorite link, all the supported functions for all the tools.
help.desmos.com/hc/en-us/art…
Philip Keller retweeted
If you know students using Common App, or HS Counselors, or IECs or CBOs, please share with them this completely free and private tool to help navigate the process. (Boomers, that means click the RT button).
open.oregonstate.education/a…
Philip Keller retweeted
New paper, free to read #openaccess
I solve a problem about coincidence, but really it's about problem solving and bakes in some stuff about mathematical thinking, creativity, and communication.
scholarship.claremont.edu/cg… #iTeachMath #MTBoS
ALT A group of four and a group of two are seated on a row of 100 seats. What is the probability that one group is seated next to the other? Peter J. Rowlett, Seating Groups and `What a Coincidence!': Mathematics in the Making and How It Gets Presented. Journal of Humanistic Mathematics, January 2024.
Philip Keller retweeted
High schools are not designed to be sorting mechanisms for college admissions offices. That's just one of the reasons why the concept of grade inflation is so wrong and so destructive.
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Philip Keller retweeted
The geometric meaning of the inverse trig functions arcsin and arccos
They are actual *arc* lengths.
Philip Keller retweeted
When this poll is over, one of the options below will win, by having received the most votes (or tied for the most votes). Your goal is to say something true about this outcome.
33%(A) Option (A) will win
12%(B) Option (B) will win
18%(C) Option (C) will win
38%(A), (B), or (C) will win
5,481 votes • Final results Philip Keller retweeted
Proof that 1+2+4+8+⋯+2ⁿ = 2ⁿ⁺¹−1
Expressing the sum in binary we have 111…111 (n+1 1's)
Adding 1 to this number we get 100…000 hence 2ⁿ⁺¹
Philip Keller retweeted
New folks to #ITeachPhysics: you may find these interactives useful!
Link: afreeparticle.com
Philip Keller retweeted
the spinning cannon shoots projectiles to intercept the vertical missiles as soon as they are launched -
The collisions end up lying along a parabola. Can you see why?
Philip Keller retweeted
#ITeachPhysics: A projectile hits a cart. Which cart will have the greatest speed post-collision?
Thanks to Mike Maloney for creating this demo. 1/2
Philip Keller retweeted
When I was a kid I used to make this sketch: connect (1,0) to (0,10), (2,0) to (0,9), etc. I thought it was cool that these straight lines had a curved boundary. Now I know that this curve is called the *envelope* of the family of lines. What is this curve? 1/7
Philip Keller retweeted
finding the radius of curvature of a curve at a point,
by finding the intersection of two normals very close to the point
Philip Keller retweeted
How to read a, b, c on the parabola y=ax²+bx+c.
#quadratic #parabola
@GeoGebra:geogebra.org/m/npsetue8
Philip Keller retweeted
“Math Person” is a free verse poem by high school student Julia Schanen. Rather than try to describe it, let me just urge you to read it. It will take you a few minutes, and it will move you. momath.org/wp-content/upload…