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Interfaces between Mathematical Practices and Mathematical Education

✍ Scribed by Gert Schubring

Publisher
Springer International Publishing
Year
2019
Tongue
English
Leaves
201
Series
International Studies in the History of Mathematics and its Teaching
Edition
1st ed.
Category
Library
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✦ Synopsis

This contributed volume investigates the active role of the different contexts of mathematics teaching on the evolution of the practices of mathematical concepts, with particular focus on their foundations. The book aims to deconstruct the strong and generally wide-held conviction that research in mathematics constitutes the only driving force for any progress in the development of mathematics as a field. In compelling and convincing contrast, these chapters aim to show the productive function of teaching, showcasing investigations from countries and regions throughout various eras, from Old Babylonia through the 20th Century. In so doing, they provide a critical reflection on the foundations of mathematics, as well as instigate new research questions, and explore the interfaces between teaching and research.


✦ Table of Contents

Front Matter ....Pages i-xvi
Foundations of Mathematics Buried in School Garbage (Southern Mesopotamia, Early Second Millennium BCE) (Christine Proust)....Pages 1-25
From the Practice of Explanation to the Ideology of Demonstration: An Informal Essay (Jens Høyrup)....Pages 27-46
Catholicism and Mathematics in the Early Modernity (Jorge Alberto Molina)....Pages 47-67
“Je n’ai point ambitionnée d’être neuf”: Modern Geometry in Early Nineteenth-Century French Textbooks (Jemma Lorenat)....Pages 69-122
The Impact of Teaching Mathematics Upon the Development of Mathematical Practices (Gert Schubring)....Pages 123-141
A Multiple Perspective Approach to History of Mathematics: Mathematical Programming and Rashevsky’s Early Development of Mathematical Biology in the Twentieth Century (Tinne Hoff Kjeldsen)....Pages 143-167
Teaching as an Indicator of Mathematical Practices (Carlos Tomei)....Pages 169-180
Back Matter ....Pages 181-190

✦ Subjects

Education; Mathematics Education; History of Education; History of Mathematical Sciences

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