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Let History into the Mathematics Classroom

  • Évelyne Barbin
  • Jean-Paul Guichard
  • Marc Moyon
  • Patrick Guyot
  • Catherine Morice-Singh
  • Frédéric Métin
  • Martine Bühler
  • Dominique Tournès
  • Renaud Chorlay
  • Gérard Hamon

Part of the History of Mathematics Education book series (HME)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Patrick Guyot
    Pages 31-45
  3. Dominique Tournès
    Pages 87-99
  4. Dominique Tournès
    Pages 101-114
  5. Renaud Chorlay
    Pages 115-127
  6. Back Matter
    Pages 141-146

About this book

Introduction

This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts.

 One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.

Keywords

History of Mathematics Gottfried Leibniz Leonard Euler Carissan brothers Juan de Ortega Practical geometry Graphometer Geometrical magnitudes Surveying Medieval mathematics Indian calculation Commercial arithmetic Congruence theory Integral calculus Nomography Conditional probability

Authors and affiliations

  • Évelyne Barbin
    • 1
  • Jean-Paul Guichard
    • 2
  • Marc Moyon
    • 3
  • Patrick Guyot
    • 4
  • Catherine Morice-Singh
    • 5
  • Frédéric Métin
    • 6
  • Martine Bühler
    • 7
  • Dominique Tournès
    • 8
  • Renaud Chorlay
    • 9
  • Gérard Hamon
    • 10
  1. 1.IREM des Pays de la LoireNantesFrance
  2. 2.IREM de PoitiersFuturoscope-ChasseneuilFrance
  3. 3.IREM de LimogesLimogesFrance
  4. 4.IREM de DijonDijonFrance
  5. 5.IREM de Paris DiderotParisFrance
  6. 6.IREM de DijonDijonFrance
  7. 7.IREM de Paris DiderotParisFrance
  8. 8.IREM de la RéunionSainte-ClotildeFrance
  9. 9.IREM de Paris DiderotParisFrance
  10. 10.IREM de RennesRennesFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-57150-8
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Education
  • Print ISBN 978-3-319-57149-2
  • Online ISBN 978-3-319-57150-8
  • Series Print ISSN 2509-9736
  • Series Online ISSN 2509-9744
  • Buy this book on publisher's site