I am interested in history and philosophy of mathematics and how history may be utilized to enhance mathematics education. I will upload what I am currently reading and reviews of what I read.

History

• A short, but nonstandard read on the history (along historiography) of mathematics could be found in Jacqueline Stedall's The History of Mathematics: A Very Short Introduction.

• A great reference book for history of mathematics is Victor Katz's A History of Mathematics: An Introduction.

• My brief review of Duel at Dawn: Heroes, Martyrs, and the Rise of Modern Mathematics, by Amir Alexander, can be found here.

Probability Theory and Statistics

• A great read on fundamental ideas in statistics is by David Spiegelhalter: The Art of Statistics: How to Learn From Data.

• If you are interested in counter intuitive, probabilistic problems, an infamous one is presented, with highest detail, in The Monty Hall Problem by Jason Rosenhouse. Writer presents the mathematical analysis of the many versions and generalizations of this classical problem, as well as psychological and philosophical ideas that lie hidden under the mantle of a simple brain teaser.

• A great text on the early development statistical and probabilistic ideas is Games, Gods Gambling: A History of Probability and Statistical Ideas by Florence Nightingale David.

Mathematics Education

• A great read on what is wrong with contemporary mathematics education is A Mathematician's Lament by Paul Lockhart.

• One of the sites with many resources in using history to enhance mathematics instruction is Reinhard Lauenbacher and David Pengelley's website.