Overview
- Uniquely investigates the teaching of mathematics in different contexts in the evolution of mathematics practice.
- Argues that the teaching of mathematics has historically been the driving force behind development in the field.
- Considers a wide range of examples spanning countries, regions, and time periods—from Old Babylonia through the 20th century.
- Shows that mathematics teaching instigates reflections about the foundations of mathematics and productive interaction with mathematics research.
Part of the book series: International Studies in the History of Mathematics and its Teaching (ISHMT)
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Table of contents (7 chapters)
Keywords
- Complementarity of teaching and research
- Relation of teaching to the foundations of mathematics
- Origins of mathematics
- Teaching as reproduction
- The origin of proof
- The Zilsel-thesis and the Merton-thesis
- Institutional origins of modern science
- Practical geometry in the 16th Century
- Catholicism and mathematics in the 17th Century
- Modern geometry in 19th Century French textbooks
- Historical conditions of production of mathematics
About this book
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.
Editors and Affiliations
About the editor
Bibliographic Information
Book Title: Interfaces between Mathematical Practices and Mathematical Education
Editors: Gert Schubring
Series Title: International Studies in the History of Mathematics and its Teaching
DOI: https://doi.org/10.1007/978-3-030-01617-3
Publisher: Springer Cham
eBook Packages: Education, Education (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-01616-6Published: 12 February 2019
eBook ISBN: 978-3-030-01617-3Published: 16 January 2019
Series ISSN: 2524-8022
Series E-ISSN: 2524-8030
Edition Number: 1
Number of Pages: XVI, 190
Number of Illustrations: 17 b/w illustrations, 6 illustrations in colour
Topics: Mathematics Education, History of Education, History of Mathematical Sciences