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

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

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

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

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

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.

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

About Alexei Volkov

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 Universite 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 CompeTICA 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).

Table of Contents

Introduction, by A. Volkov and V. Freiman.- Part 1. Middle East and Greece in Antiquity and Middle Ages.- Chapter 1. Computation in Early Mesopotamia, by Duncan Melville.- Chapter 2. Computations in Ancient Mesopotamian Mathematics: from Ur III to the Seleucid period, by Jens Hoyrup.- Chapter 3. Computation Techniques in Ancient Greek Sources, by Fabio Acerbi.- Chapter 4. Procedural aspects in Nicomachus Arithmetic introduction and its transmission to Byzantine higher education, by Jean Christianidis and Athanasia Megremi.- Part 2: Oriental traditions.- Chapter 5. Counting instruments and computations in traditional Chinese mathematics: didactical aspects, by Alexei Volkov.- Chapter 6. Dust computations in the Lilavati, by Takanori Kusuba.- Chapter 7. The role of the prescription of division in the algorithmic approach for setting up tabular algebraic equations in medieval China and India: a comparison, by Charlotte-V. Pollet.- Chapter 8. Same Rods, Same Calculation? Contextualizing Computations in Eighteenth-Century Korea, by Oh Young-Sook.- Chapter 9. On the History of Exercises in the Computations Performed with the Abacus in China and Japan, by Chen Yi-Fu.- Chapter 10. Teaching computation in 19th century Japan: the transition from individual coaching on traditional devices at the end of the Edo period (1600-1868) to lectures on Western mathematics during the Meiji period (1868-1912), by Marion Cousin.- Part 3. Early modern Europe and Russia.- Chapter 11. Computation Devices in 19th Century Mathematics Instruction in Europe, by Gert Schubring.- Chapter 12. Teaching computation in Russia, by Alexander Karp.- Chapter 13. Computational devices in 19-20 century schools evolution from tool of calculation to the tool of teaching and learning, by Viktor Freiman.- Part 4. Theoretical approaches and concluding remarks.- Chapter 14. The unsettling pleasure of computing, by Jean-Francois Maheux.- Chapter 15. Transition to electronic devices:technological affordances and didactical perspective, by Nathalie Sinclair.- Chapter 16. Concluding remarks, by Viktor Freiman and Alexei Volkov.

Additional information

NPB9783319733944
9783319733944
331973394X
Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators by Alexei Volkov
Alexei Volkov
Mathematics Education in the Digital Era
New
Hardback
Springer International Publishing AG
2019-01-22
471
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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