## Using History to Teach Mathematics: An International PerspectiveThere is a long tradition of relating the history of mathematics to its teaching, and increasingly this has extended throughout mathematical education. This volume brings together articles from well known figures in this area, and provides many insights, both in particular cases and in generality, into how the history of mathematics can find application in the teaching of mathematics itself. Educators at all levels, and mathematicians interested in the history of their subject, will find much of interest in this book. |

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### Contents

The History of Mathematics | 3 |

Historical Ideas and their Relationship to Pedagogy | 27 |

Teaching a Particular Subject Using History | 67 |

The Use of History in Teacher Training | 121 |

### Common terms and phrases

abstract algorithm analysis ancient Chinese angles approach approximation Arcavi Archimedes arithmetic axiom Babylonian Beltrami calculation century Chinese mathematics circle classroom concept concern construction context cultural curve definition Descartes didactic discussion Dorier ematics equal equations Euclid Euclid's Elements Euclidean Euclidean geometry Euler example fact FIGURE formal formula function give given Greek history of mathematics Hui's ideas infinite introduced intuition IREM Jiu Zhang Suan journal learning linear algebra Liu Hui logical magnitudes math mathematicians mathematics education Mathématiques matics method non-Euclidean geometry parallel parallel axiom parallel postulate pedagogical Pedro Nunes physics plane Poncelet Portugal present problem proof Proposition published pyramid question rectangle relation result role Saccheri side solution solving square straight line surface Swetz symbols teachers teaching theorem theory tion translation triangle University vector spaces volume Zhang Suan Shu

### References to this book

Mathematics Teaching Practice: Guide for University and College Lecturers John Mason No preview available - 2002 |

History in Mathematics Education: An ICMI Study John Fauvel,J.A. van Maanen No preview available - 2000 |