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Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators

  • Alexei Volkov
  • Viktor Freiman

Part of the Mathematics Education in the Digital Era book series (MEDE, volume 11)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Introduction

  3. Middle East, India, Greece, and Byzantine Empire in Antiquity and Middle Ages

  4. Far East: China, Korea, Japan

  5. Early Modern Europe and Russia

  6. Conclusion

  7. Back Matter
    Pages 459-471

About this book

Introduction

This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a  particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.

Keywords

Babylonian, Egyptian, Chinese and Greek Mathematical Traditions Deductive and Computational traditions in Mathematics Development of Mathematics Education across the Cultures Donald F. Knuth Educational Approaches in the History of Math Instruction Historical Overview early Mathematical Traditions Historical Role of Technology in Mathematics Education History of Computational Procedures and Computing Devices History of Mathematics History of Mathematics Education History of Tasks and Methods of Computing in Education Jock Hoe The Advent of Electronic Calculators and Computers

Editors and affiliations

  • Alexei Volkov
    • 1
  • Viktor Freiman
    • 2
  1. 1.Center for General Education and Institute of HistoryNational Tsing Hua UniversityHsinchuTaiwan
  2. 2.Université de MonctonMonctonCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-73396-8
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Education
  • Print ISBN 978-3-319-73394-4
  • Online ISBN 978-3-319-73396-8
  • Series Print ISSN 2211-8136
  • Series Online ISSN 2211-8144
  • Buy this book on publisher's site