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Hands on history : a resource for teaching mathematics / edited by Amy Shell-Gellasch.

Contributor(s): Material type: TextTextSeries: MAA notes ; no. 72.Publication details: Washington, D.C. : Mathematical Association of America, ©2007.Description: 1 online resource (xii, 177 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780883859766
  • 0883859769
Subject(s): Genre/Form: Additional physical formats: Print version:: Hands on history.DDC classification:
  • 510.71 22
LOC classification:
  • QA11.2 .H367 2007
Online resources:
Contents:
Learning from the medieval master masons : a geometric journey through the labyrinth / Hugh McCague -- Dem bones ain't dead : Napier's bones in the classroom / Joanne Peeples -- The towers of Hanoi / Amy Shell-Gellasch -- Rectangular protractors and the mathematics classroom / Amy Ackerberg-Hastings -- Was Pythagoras Chinese? / David E. Zitarelli -- Geometric string models of descriptive geometry / Amy Shell-Gellasch, Bill Acheson -- The French Curve / Brian J. Lunday -- Area without integration : make your own planimeter / Robert L. Foote, Ed Sandifer -- Historical mechanisms for drawing curves / Daina Taimina -- Learning from the Roman land surveyors : a mathematical field exercise / Hugh McCague -- Equating the sun : geometry, models, and practical computing in Greek astronomy / James Evans -- Sundials : an introduction to the history, design, and construction / J.L. Berggren -- Why is a square square and a cube cubical? / Amy Shell-Gellasch -- The cycloid pendulum clock of Christiaan Huygens / Katherine Inouye Lau, Kim Plofker -- Build a brachistochrone and captivate your class / V. Frederick Rickey -- Exhibiting mathematical objects : making sense of your department's material culture / Peggy Aldrich Kidwell, Amy Ackerberg-Hastings.
Action note:
  • digitized 2011 HathiTrust Digital Library committed to preserve
Summary: 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.
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Includes bibliographical references.

Learning from the medieval master masons : a geometric journey through the labyrinth / Hugh McCague -- Dem bones ain't dead : Napier's bones in the classroom / Joanne Peeples -- The towers of Hanoi / Amy Shell-Gellasch -- Rectangular protractors and the mathematics classroom / Amy Ackerberg-Hastings -- Was Pythagoras Chinese? / David E. Zitarelli -- Geometric string models of descriptive geometry / Amy Shell-Gellasch, Bill Acheson -- The French Curve / Brian J. Lunday -- Area without integration : make your own planimeter / Robert L. Foote, Ed Sandifer -- Historical mechanisms for drawing curves / Daina Taimina -- Learning from the Roman land surveyors : a mathematical field exercise / Hugh McCague -- Equating the sun : geometry, models, and practical computing in Greek astronomy / James Evans -- Sundials : an introduction to the history, design, and construction / J.L. Berggren -- Why is a square square and a cube cubical? / Amy Shell-Gellasch -- The cycloid pendulum clock of Christiaan Huygens / Katherine Inouye Lau, Kim Plofker -- Build a brachistochrone and captivate your class / V. Frederick Rickey -- Exhibiting mathematical objects : making sense of your department's material culture / Peggy Aldrich Kidwell, Amy Ackerberg-Hastings.

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Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2011. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL

Print version record.

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.

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