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

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

Hardcover

Series: Mathematics Education in the Digital Era, Book 11

General ComputersGeneral MathematicsTeaching Instruction

ISBN10: 331973394X
ISBN13: 9783319733944
Publisher: Springer Nature
Published: Jan 22 2019
Pages: 471
Weight: 1.86
Height: 1.06 Width: 6.14 Depth: 9.21
Language: English
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-François 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.

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