Research shows that students learn best when, as opposed to simply 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 few options for 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. 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.
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'... full of ideas, well researched, well written, and with enough to get the students going with mathematics, history, and with making their own mathematical instruments. Highly recommended for working with a range of kids.' Mathematics Today
Book Description
Research shows that students learn best when they actively participate in their learning. In particular, hands-on activities provide the greatest opportunities for promoting retention. This volume is a compilation of articles from researchers and educators who use the history of mathematics to facilitate active learning in the mathematics classroom.
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Inside This Book
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First Sentence:
In recent years, there has been a resurgence in understanding, constructing, and walking mazes and labyrinths, many originating from the Middle Ages. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
medieval master masons, logarithmic spiral, rectangular protractors, solar equatorium, linear planimeter, tracer arm, hatchet planimeter, planimeters work, equatorial dial, pes monetalis, pavement labyrinth, tracer point, mosaic mazes, original right triangle, polar planimeter, horizontal dial, vertical dial, warped plane, final peg, signed area, brachistochrone problem, historical mechanisms, measuring wheel, solar theory, chisel edge Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, French Curves, Hands On History, Pythagorean Theorem, West Point, United States Military Academy, University of Leeds, The Roman Land Surveyors, Surveying the Roman Way, John Napier, Geometric Journey, Hands On Hístor, Slide Rules, Small Project, Johann Bernoulli, Amiens Cathedral, Cambridge University Press, Area Without Integration, Planimeter Theorem, Department of Mathematical Sciences, Area Difference Theorem, Amy Shell-Gellasch, Napier's Bones, Tower of Hanoi, Princeton University Press Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
In recent years, there has been a resurgence in understanding, constructing, and walking mazes and labyrinths, many originating from the Middle Ages. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
medieval master masons, logarithmic spiral, rectangular protractors, solar equatorium, linear planimeter, tracer arm, hatchet planimeter, planimeters work, equatorial dial, pes monetalis, pavement labyrinth, tracer point, mosaic mazes, original right triangle, polar planimeter, horizontal dial, vertical dial, warped plane, final peg, signed area, brachistochrone problem, historical mechanisms, measuring wheel, solar theory, chisel edge Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, French Curves, Hands On History, Pythagorean Theorem, West Point, United States Military Academy, University of Leeds, The Roman Land Surveyors, Surveying the Roman Way, John Napier, Geometric Journey, Hands On Hístor, Slide Rules, Small Project, Johann Bernoulli, Amiens Cathedral, Cambridge University Press, Area Without Integration, Planimeter Theorem, Department of Mathematical Sciences, Area Difference Theorem, Amy Shell-Gellasch, Napier's Bones, Tower of Hanoi, Princeton University Press Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
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