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

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.