Mathematics For Secondary School Teachers, by Elizabeth G. Bremigan, Ralph K. Bremigan and John D. Lorch, The Mathematical Association of America, Washington D. C., 2011. 417 pp., $64.95 (hardbound). ISBN 9780883857731.
Five out of five stars
As the classification indicates, this is a textbook for students studying to be a secondary school math teacher. The content and tones are both targeted at the individual that will have to understand and present mathematics to middle and high school students. The coverage is what it should be, the only points of dispute would be the depth and the order of presentation.
The order of presentation is often a topic of disagreement, yet in most cases it makes little difference. For example, there will be people that will question the logic of making the chapters with titles “Numbers,” “Operations in Number Systems” and “Topics in Number Systems” numbers six, seven and eight, after chapters on functions, lines, polynomials and trigonometry. The chapter on measurement is the last chapter in the book. Given the independence of these chapters, they could easily be presented out of order.
The level of rigor is again a debatable point, there are some that will decry the lack while others will consider it excessive. I consider this instance to be a “Goldilocks” phenomenon. There are sets of exercises at the end of the sections but no solutions or even hints are included in the book.
One interesting feature is the use of reproductions of actual student handwritten solutions to a problem referenced in the chapter. They are a demonstration of some of the most common errors made by students.
If you are looking for a textbook for a class designed to educate secondary school mathematics teachers, this one will work for you.
This book was made available for free for review purposes