Hands on History 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.
Research shows that students learn best when, as opposed to imply listening or reading, they actively participate in their learning. In particular, hands-on activities provide the greatest opportunities for gaining understanding and promoting retention. Apart from simple manipulatives, the mathematics classroom offers a few options or hands-on activities. However, the history of mathematics offers many ways to incorporate hands-on learning into the mathematics classroom. Prior to computer modeling, many aspects of mathematics and its applications were explored and realized through mechanical models and devices. By bringing this material culture of mathematics into the classroom, students can experience historical applications and uses of mathematics in a setting rich in discovery and intellectual interest.
Whether replicas of historical devices or models 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.
Electronic ISBN: 9780883859766
|PDF Price||POD Price|
|Hands on History||$31.50|
|Price per Chapter||Price per Chapter|
|1. Learning from the Medieval Master Masons: A Geometric Journey through the Labyrinth||$7.00||$9.00|
|2.Dem Bones Ain’t Dead: Napier’s Bones in the Classroom||$7.00||$8.75|
|3. The Towers of Hanoi||$7.00||$8.50|
|4. Rectangular Protractors and the Mathematics Classroom||$7.00||$8.50|
|5. Was Pythagoras Chinese?||$7.00||$8.50|
|6. Geometric String Models of Descriptive Geometry||$7.00||$8.75|
|7. The French Curve||$7.00||$8.50|
|8. Area Without Integration: Make Your Own Planimeter||$7.00||$9.25|
|9. Historical Mechanisms for Drawing Curves||$7.00||$9.00|
|10. Learning from the Roman Land Surveyors: A Mathematical Field Exercise||$7.00||$8.50|
|11. Equating the Sun: Geometry, Models, and Practical Computing in Greek Astronomy||$7.00||$8.50|
|12. Sundials: An Introduction to Their History, Design, and Construction||$7.00||$8.75|
|13. Why is a Square Square and a Cube Cubical?||$7.00||$8.50|
|14. The Cycloid Pendulum Clock of Christiaan Huygens||$7.00||$8.50|
|15. Build a Brachistochrone and Captivate Your Class||$7.00||$8.50|
|16. Exhibiting Mathematical Objects: Making Sense of your Department’s Material Culture||$7.00||$8.75|