I recently came across an article by the mathematician Ethan Akin, whose work in topology and dynamical systems I admire greatly, called “In Defense of ‘Mindless Rote’“. In the article he defends the traditional education model of having students memorize mathematical facts and techniques. He begins with the following quote from Alfred North Whitehead’s Introduction to Mathematics….
Tag: Teaching
The nuts and bolts of writing mathematics
This was a handout that I made for my Discrete Mathematics class. At our college this course is the gateway to the mathematics major and is the students’ introduction to writing mathematical arguments. Here is a pdf of the handout. The nuts and bolts of writing mathematics You know that I write slowly. This is chiefly…
Student podcasts in a history of mathematics course
I would like to take this opportunity to showcase some of my students’ work from last year. I taught a class called “Great Theorems and Ideas in Mathematics.” It was an upper-level history of mathematics course with a focus on some of mathematics’ greatest theorems. I used William Dunham‘s Journey Through Genius for a good…
Wobbly tables and the intermediate value theorem
Tomorrow I’ll be introducing the intermediate value theorem (IVT) to my calculus class. Recall the statement of the IVT: if is a continuous function on the interval and is between and , then there exists a value such that . In other words, achieves all of the intermediate values between and . This is a very underappreciated theorem…
Line Rider Calculus
The first time I saw Line Rider in action, I knew I should use it for a calculus class, but I didn’t know how. Recently 360 wrote about using Line Rider in a calculus course, and so did Teaching College Math, who suggested creating a video of the action using the screen capture software Jing. This week’s topic in…
David Richeson: Division by Zero 