2022 in Tweets

End of Week Checklist:

☑️ Computed Fourier Series in Calculus
☑️ Expressed symmetries as equations in Geometry
☑️ Researched a dozen different applications in Linear Algebra

Oh, and
☑️ Final exams
☑️ Final projects
☑️ Final grades
☑️ Covered a 1st period 9th grade PE class

— Patrick Honner (@MrHonner) January 28, 2022

Here's how a student integrated xcos(x) today. Her technique is pretty brilliant! I've never considered doing something like this before. pic.twitter.com/ZtiGbse5Z5

— Patrick Honner (@MrHonner) February 3, 2022

This morning I had a moment of finally understanding a mathematical idea that I've been thinking about for at least the past five years. Math is like that sometimes.

— Patrick Honner (@MrHonner) March 6, 2022

Me: <egregiously violating algebraic rules in erroneously simplifying exponential expression>
Student, politely, after raising hand: "Can you explain the laws of exponents you used here? I'm not familiar with them."

— Patrick Honner (@MrHonner) April 7, 2022

I always introduce non-separable differential equations by asking students to solve y' = x + y, which they generally aren't equipped to do. Occasionally students intuit an answer, but a student did this today, which I've never seen before. Brilliant!#math #mathchat #APCalc pic.twitter.com/xFI2n8DuUq

— Patrick Honner (@MrHonner) May 6, 2022

"For some reason, once you starting thinking about Calculus, you can never go back."

-Student reflection

— Patrick Honner (@MrHonner) June 14, 2022

I maintained a pretty stoic demeanor my first year of teaching but one notable exception was the day a student told me they preferred the Slope-Intercourse form of a line.

— Patrick Honner (@MrHonner) August 1, 2022

For the first time in 5 years my school year planning can begin with "Everything I need to do this year can be done as I did it last year". A welcome change!

— Patrick Honner (@MrHonner) August 5, 2022

A short thread on one of my favorite Pre-Calculus topics: Tangent Lines!

Given a polynomial P(x), divide by (x – a)² and write in quotient-remainder form. By the division algorithm, the remainder has lower degree than the divisor. This means the remainder is linear. pic.twitter.com/YLNzxHI40z

— Patrick Honner (@MrHonner) September 28, 2022

I am a mathematician. I also routinely count on my fingers to compute Friday's date when making my calendars.

— Patrick Honner (@MrHonner) October 9, 2022

Another fun thread about long division! We were discussing the arithmetic of complex numbers in precalculus, and I asked students how we would divide them. One student half-jokingly suggested we try long division. So we did!
(1/8) pic.twitter.com/VpodeX0lgd

— Patrick Honner (@MrHonner) November 1, 2022

I usually don't engage with trending topics here on Twitter, but in this case I'll make an exception: You can find me on #Mastodon at phonner@mathstodon.xyz.

— Patrick Honner (@MrHonner) December 16, 2022