USU Math 5010

I have started this blog to document, revisit, and hopefully improve upon many of the approaches that have helped me the most over these years. Some of the postings are “mini-lectures” that most of my tutees have probably heard (cue the eye-rolls). Others are musings about the variations in how math seems to be understood or taught.

Did you ever read a book called “The Number Devil”  by Hans Magnus Enzensberger? If you ever see a copy of it, grab it and have a look. In chapter one, Robert, the hero of the story, meets the Number Devil. The Number Devil explains to Robert that knowing a little bit of arithmetic, such as addition and subtraction, is quite useful for when the batteries of your calculator run out but really it has little to do with mathematics. How often do teachers fail to grasp the distinction? How often do we overstate the importance of the “skills” that we fail to recognize the importance of their application? It’s like a football team that focuses so much energy on their training sessions that they forget to turn up to play their game.