- Guesstimation by L. Weinstein and J. A. Adam. This very entertaining book uses only multiplication and division to tackle such imponderables as, How many golf balls would it take to circle the Earth? How long would it take a faucet to fill the U.S. Capitol’s dome? How much would the oceans rise if the ice caps melted? And my favorite: How many people are picking their nose right now? See also Guesstimation 2.0.
- Asimov on Numbers, by I. Asimov. Though long out of print, this book has very readable essays about (among other things) Arabic numerals, transfinite numbers, , , and infinite series. I enjoyed this greatly when I was in school. If you can find it in a local library, I recommend it highly.
- Math Girls, by Hiroshi Yuki.
- Math Through the Ages: A Gentle History for Teachers and Others, by W. P. Berlinghoff and F. Q. Gouvea. We use this book at UNT for describing the history of mathematical thought.
- Men of Mathematics, by E. T. Bell. Though it occasionally dips into hagiography, this book is a classic.
- Mathematics for Secondary School Teachers, by E. G. Bremigan, R. J. Bremigan, and J. D. Lorch. I currently use this text for my Math 4050 course (Advanced Perspective on the Secondary Mathematics Curriculum) at UNT.
- Mathematics for High School Teachers – An Advanced Perspective, by Z. Usiskin, A. L. Perissini, E. Marchisotto, and D. Stanley. This was my textbook for Math 4050 prior to switching to my current text.
- The Mathematics that Every Secondary Math Teacher Needs to Know, by A. Sultan and A. F. Artzt.