The Math Book

Ants can count. I did not know that. I found this interesting fact in a book I bought recently called The Math Book by Clifford A. Pickover. The book is similar to a coffee table book in that it is nicely made with high quality paper and illustrations, although its size is about the same as…

Difficult Problems and Why We Like Them

Item 1: Audrey Weeks writes a really great set of animations for calculus teachers and students called Calculus in Motion. The animations run on Geometer’s Sketchpad and are very easy to use, but difficult to program. But Audrey is an expert.  She is very busy each year at this time doing animations of the recent…

The Opposite of Negative

Next year, for the first time in 15 years, I am going to be teaching high school full-time. While I have enjoyed writing and working primarily with teachers for the last 15 years, I’m looking forward to “going back to the classroom” as they say. It looks like I’ll be teaching BC calculus and Algebra…

Proof

When math books present a theorem they almost always immediately present its proof. I tend to skip the proofs. I assume they are correct. I want to get on with the ideas in the text. Later I may come back and read through them. Is this a good thing to advise students to do? I…