Overview
- Offers an in-depth investigation of the history of techniques of computations and of the use of computing devices in mathematics
- Presents new insights into the role of computing devices in mathematics teaching and learning in various historical and cultural contexts
- Introduces a new research agenda in the study of the use of computing devices in mathematics education from historical and didactical perspectives
Part of the book series: Mathematics Education in the Digital Era (MEDE, volume 11)
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Table of contents (17 chapters)
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Front Matter
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Middle East, India, Greece, and Byzantine Empire in Antiquity and Middle Ages
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Front Matter
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Far East: China, Korea, Japan
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Front Matter
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Early Modern Europe and Russia
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Front Matter
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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
About this book
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.
Reviews
“This volume will be received by those learning and teaching undergraduate mathematics and mathematics education … it could serve as a useful starting point for a class lecture, a history of mathematics paper, or a senior thesis.” (Peggy Kidwell, MAA Reviews, April 06, 2019)
Editors and Affiliations
About the editors
Alexei Volkov is Professor of the Center for General Education of the National Tsing-Hua University (Hsinchu, Taiwan). He received his PhD degree in history of mathematics from the Institute for History of Science and Technology of the Soviet (Russian) Academy of Sciences in 1989, and since then has been working on the history of mathematics, history of mathematics education and history of science in East and Southeast Asia, in particular, in pre-modern China and Vietnam.
Viktor Freiman, Ph. D. in teaching computer science is Full Professor at the Université de Moncton, Canada. His main research interests, besides the history of mathematics education, focuses on innovations in teaching and learning, STEAM-education, mathematical giftedness, problem solving, virtual learning communities, as well as digital literacy. He is director of the CompéTICA Partnership Network, funded by the Social Sciences and Humanities Research Council of Canada (2014-2017) to investigate digital competence development in the life-long perspective. He is also co-editor of the book Series Mathematics Education in the Digital Era (since 2014).
Bibliographic Information
Book Title: Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators
Editors: Alexei Volkov, Viktor Freiman
Series Title: Mathematics Education in the Digital Era
DOI: https://doi.org/10.1007/978-3-319-73396-8
Publisher: Springer Cham
eBook Packages: Education, Education (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-319-73394-4Published: 22 January 2019
eBook ISBN: 978-3-319-73396-8Published: 11 January 2019
Series ISSN: 2211-8136
Series E-ISSN: 2211-8144
Edition Number: 1
Number of Pages: VIII, 471
Number of Illustrations: 166 b/w illustrations, 39 illustrations in colour
Topics: Mathematics Education, History of Computing, History of Mathematical Sciences