benjamin dickman

Worthwhile reading if you are (feeling) literate!

cc. #iTeachMath ♾️
bcc. #MathSky 🧮

cc #iTeachMath ♾️!

Additions? Alterations? Other?

Worthwhile reading if you are (feeling) literate!

cc. #iTeachMath ♾️
bcc. #MathSky 🧮

a tiny tiny fun puzzle (for the right audience): given that 8675309 is a twin prime, which number is its twin?

same quick Fri #2solve

first word reminds me of a favorite Scrabble bingo:
GJETOST (type of Norwegian cheese)

oooo, the dangers of late night maths

deg(p) + 1?
but if you don't know the degree, then I don't think any number of queries will determine it: for any k inputs (and their k outputs) you can fit them to a polynomial curve e.g. thru Lagrange interpolation

not sure if I've misunderstood the query...

i used one word from each of the #2solve solutions already posted! Thu:

01000001 01000110 01010100 01000101 01010010 01000111 01001100 01001111 01010111 00100000 01010111 01001000 01000001 01001100 01000101 01000010 01001111 01001110 01000101

still workshopping

cc #iTeachMath ♾️!

Additions? Alterations? Other?

I have seen it more often used at the departmental level, which has similar ramifications e.g. a lack of noticing how quadratics in math class connect with trajectories in physics class. Sad but true!

so many topics suffer from this phenomenon, which can sometimes be caused by a lack of generalization; for example, fluency w the concept and representations of functions can unite what may seem to hs student as disparate topics (exponentials, polynomials, trig, etc). examples unfortunately abound!

siloed topics refers to mathematical topics that are covered as if they are disjoint whereas, they are most certainly connected!

for example, the Alg1-Geo-Alg2 sequence may cover distance in the Cartesian plane in Geo and quadratics in Alg w/o Ss (or Ts) noting parabolas connect both course areas!

tho Scrabble legal, it wouldn't accept my proposed #2solve of:

HELIXES SYNOPSIZED

robbery tbh

Same Wed #2solve after some very long dead ends!

I know what this word means dw I gotchu, it's something like "thin in such a way so as to transmit light"

I always imagine it w a person's hand spread and light passing through their fingers??? but actually idk why this image is in my mind

click subscribe for more word facts

same Tue solve #2solve
🕹️↩️👏🏻

+1

same #2solve, missed the mathier first word !

DTMF 📸

FFTDMFFS

rebumping

The focus on reducing or eliminating "small agencies" can be extraordinarily misguided!

We had an incredible Office of Technology Assessment (OTA) that was eliminated amid the Gingrich R midterms for Clinton I. Still haven't recovered or revived it. Yet!

For more:
en.wikipedia.org/wiki/Office_...

the math edu Mad 🆚 Easy dichotomy... chime in!

#iTeachMath ♾️ #MathSky 🧮

PPS: as a teacher, maddest (most irritated) would be radicals and variables. For example:

"Simplify: √(xy²z³w⁴)"

Oftentimes, textbooks would give incorrect answers!

This one would be:
√(xz) * |yz| * w²

... does that even seem simpler?? I'm unconvinced.

Texts too often do e.g. √(x⁶) = x³. False!

PS: for integers a,b with no common prime factors, there are always integers p,q such that ap+bq=1.

The latter pair has no formal name despite being oft-used; same prof called p,q "Pavlovian integers" to *condition* students into considering their use.

For *years* I thought this was a common term!

Easy: Figuring out whether a variety of Calc II sequences converge. Something that the professor, David Armacost (rip), taught to remind us that we only care about the long-term behavior was the acronym FFTDM (First Few Terms Don't Matter). This was certainly his own, original terminology 😆

Just remove the bottom left L and top right 7. Maybe modify the position means they can't be disappeared entirely (?) but they can certainly be moved such that none of those four is part of a square thereafter...

quick Sat #2solve, an indefensible rise

01001101 01000001 01010100 01011010 01001111 01001000 00100000 01001000 01011001 01010000 01001111 01000011 01010010 01001001 01010011 01011001

1990