Using History to Teach Mathematics An International Perspective

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Author(s): Victor Katz (ed.)
Publisher: MAA

Language: English

Cover
Title page
Preface
Part I: General Ideas on the Use of History in Teaching
The ABCD of Using History of Mathematics in the (Undergraduate) Classroom, Siu Man-Keung
Mathematical Pedagogy: An Historical Perspective, Frank Swetz
On the Benefits of Introducing Undergraduates to the History of Mathematics: A French Perspecûve, Anne Michel-Pajus
Part II: Historical Ideas and their Relationship to Pedagogy
The History of Mathematics and Its Influence on Pedagogical Problems, Lucia Grugnetti
Euclid versus Liu Hui: A Pedagogical Reflection, Wann-Sheng Horng
The Long Tradition of History in Mathematics Teaching: An Old Italian Case, Fulvia Furinghetti
Problem Solving from the History of Mathematics, Frank Swetz
Part III: Teaching a Particular Subject Using History
Second Degree Equations in the Classroom: A Babylonian Approach, Luis Radford and George Gutrette
Anomalies and the Development of Mathematical Understanding, Janet Heine Barnett
The Historicity of the Notion of What is Obvious in Geometry, Evelyne Barbin
Use of History in a Research Work on the Teaching of Linear Algebra, Jean-Luc Dorier
Presenting the Relation Between Mathematics and Physics on the Basis of Their History: A Genetic Approach, Constantinos Tzanakis
Part IV: The Use of History in Teacher Training
A Historical Approach to Developing the Cultural Significance of Mathematics Among First Year Preservice Primary School Teachers, Jan Isaacs, V. Mohan Ram, and Ann Richards
The Analysis of Regula Falsi as an Instance for Professional Development of Elementary School Teachers, Greisy Winicki
Mathematics and its History: An Educational Partnersbip, Maxim Bruckheimer and Abrahmn Areavi
Part V: The History of Mathematics
Mesopotamian Mathematics: Some Historical Background, Eleanor Robson
An Excursion in Ancient Chinese Mathematics, Siu Man-Keung
The Value of Mathematics: A Medieval Islamic View, George W. Heine III
Mathematics, Humanism, and Urban Planning in Renaissance Italy, Uwe Gellert
An Epistemological History of Number and Variation, Luis E. Moreno-Armella and Guillermina Waldegg
Combinatorics: A Historical and Pedagogical Approach, Robin Wilson
The History of Non-Euclidean Geometry, Torkil Heiede
Scientific Research and Teaching Problems in Beltrami's Letters to Hoüel. Livia Giacardi
A Window on the World of Mathematics, 1870, Gavin Hitchcock
Some Notes on the History of Mathematics in Portugal, Antônio Leal Duarte, Jaime Carvalho e Silva, and Joao Filipe Queirô
Mathematics in South and Central America: An Overview, Ubiratan D'Ambrosio
Notes on Contributors