This volume is a compilation of articles from researchers and educators who use the history of mathematics to facilitate active learning in the classroom. The contributions range from simple devices such as the rectangular protractor that can be made in a geometry classroom, to elaborate models of descriptive geometry that can be used as a major project in a college mathematics course. Other chapters contain detailed descriptions on how to build and use historical models in the high school or collegiate mathematics classroom. Some of the items included in this volume are: sundials, planimeters, Napier's Bones, linkages, cycloid clock, a labyrinth, and an apparatus that demonstrates the brachistocrone in the classroom. Whether replicas of historical devices or models are used to represent a topic from the history of mathematics, using models of a historical nature allows students to combine three important areas of their education: mathematics and mathematical reasoning; mechanical and spatial reasoning and manipulation; and evaluation of historical versus contemporary mathematical techniques.

The topics are very varied. Some of the devices seem to be only of nostalgic value, and perhaps only of interest to mathematicians and historians, but not so much to a student. However, many of the topics seem to have a great potential for a fun and interesting classroom activity. Some of them may be quite challenging to construct, but many should be straightforward. The book contains many illustrations, photographs and blueprints to help in the construction of these devices. I believe the book has achieved its own goal: it is a great resource for the teacher who wants to add some hands on (historical) activities in the classroom.

Álvaro Lozano-Robledo Source: MAA Reviews Online