Teaching Fractions through Situations: A Fundamental Experiment

  • Guy Brousseau
  • Nadine Brousseau
  • Virginia Warfield

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Guy Brousseau, Nadine Brousseau, Virginia Warfield
    Pages 1-8
  3. Guy Brousseau, Nadine Brousseau, Virginia Warfield
    Pages 9-125
  4. Guy Brousseau, Nadine Brousseau, Virginia Warfield
    Pages 127-163
  5. Guy Brousseau, Nadine Brousseau, Virginia Warfield
    Pages 165-199
  6. Guy Brousseau, Nadine Brousseau, Virginia Warfield
    Pages 201-210
  7. Back Matter
    Pages 211-215

About this book

Introduction

This work presents one of the original and fundamental experiments of Didactique, a research program whose underlying tenet is that Mathematics Education research should be solidly based on scientific observation. Here the observations are of a series of adventures that were astonishing for both the students and the teachers: the reinvention of fractions and of decimal numbers in a sequence of lessons and situations that permitted the students to construct the concepts for themselves. The book leads the reader through the highlights of the sequence's structure and some of the reasoning behind the lesson choices. It then presents explanations of some of the principal concepts of the Theory of Situations. In the process, it offers the reader the opportunity to join a lively set of fifth graders as they experience a particularly attractive set of lessons and master a topic that baffles many of their contemporaries.

Keywords

Constructivism in Mathematics Education Mathematics Education Scientific Observation in Mathematics Education Teaching Fractions and Decimals The didactique method Theory of Situations

Authors and affiliations

  • Guy Brousseau
    • 1
  • Nadine Brousseau
    • 2
  • Virginia Warfield
    • 3
  1. 1.Université de BordeauxBordeauxFrance
  2. 2.BordeauxFrance
  3. 3.MathematicsUniversity of WashingtonSeattleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-2715-1
  • Copyright Information Springer Science+Business Media B.V. 2014
  • Publisher Name Springer, Dordrecht
  • eBook Packages Humanities, Social Sciences and Law
  • Print ISBN 978-94-007-2714-4
  • Online ISBN 978-94-007-2715-1
  • About this book