Interfaces between Mathematical Practices and Mathematical Education [electronic resource] / edited by Gert Schubring.

Contributor(s): Material type: TextTextSeries: International Studies in the History of Mathematics and its TeachingPublisher: Cham : 2019Edition: 1st ed. 2019Description: XVI, 190 p. 23 illus., 6 illus. in color. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783030016173
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 370 23
LOC classification:
  • LC8-6691
Online resources:
Contents:
Introduction -- 1.Foundations of mathematics buried in school garbage (Southern Mesopotamia, early second millennium BCE) -- 2. From the practice of explanation to the ideology of demonstration: an informal essay -- 3.Catholicism and Mathematics in the Early Modernity -- 4.“Je n’ai point ambitionnée d’être neuf”: Modern Geometry in Early Nineteenth-Century French Textbooks -- 5.The impact of teaching mathematics upon the development of mathematical practices -- 6.A Multiple Perspective Approach to History of Mathematics: Mathematical programming and Rashevsky’s early development of mathematical biology in the 20th century -- 7.Teaching as an indicator of mathematical practices.
In: Springer Nature eBookSummary: 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.
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Introduction -- 1.Foundations of mathematics buried in school garbage (Southern Mesopotamia, early second millennium BCE) -- 2. From the practice of explanation to the ideology of demonstration: an informal essay -- 3.Catholicism and Mathematics in the Early Modernity -- 4.“Je n’ai point ambitionnée d’être neuf”: Modern Geometry in Early Nineteenth-Century French Textbooks -- 5.The impact of teaching mathematics upon the development of mathematical practices -- 6.A Multiple Perspective Approach to History of Mathematics: Mathematical programming and Rashevsky’s early development of mathematical biology in the 20th century -- 7.Teaching as an indicator of mathematical practices.

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.

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