Interfaces between Mathematical Practices and Mathematical Education

Gebonden Engels 2019 9783030016166
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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.

Specificaties

ISBN13:9783030016166
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing

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Inhoudsopgave

<p>Introduction.-&nbsp; 1.Foundations of mathematics buried in school garbage (Southern Mesopotamia, early second millennium BCE).- 2.&nbsp;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&nbsp;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&nbsp;Rashevsky’s early development of mathematical biology in the 20th century.- 7.Teaching as an indicator of mathematical practices.</p>

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        Interfaces between Mathematical Practices and Mathematical Education