Table of Contents

Part I. Histiography and Sources: 1. New trends and old images in the history of mathematics David E. Rowe; 2. The role of problems in the history of mathematics and mathematics teaching Evelyne Barbin; 3. Dramatising the birth and formation of mathematical concepts: two dialogues Gavin Hitchcock; Part II. Studies in the History of Mathematics: 4. The four sides and the area: oblique light on the prehistory of algebra Jens Hoyrup; 5. The method of indivisible in ancient geometry Wilbur Knorr; 6. The enigmas of Chinese mathematics Frank Swetz; 7. Combinatorics and induction in medieval Hebrew and Islamic mathematics Victor Katz; 8. The earliest correct algebraic solutions of cubic equations Barnabus Hughes; 9. Early geometrical works of Marin Getaldic Zarko Dadic; 10. Abolition of the slave trade: empowerment through modelling John Fauvel; 11. The calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacy Judith Grabiner; 12. The development of algebraic analysis from Euler to Klein and its impact on school mathematics in the nineteenth century Hans Nils Jahnke; 13. The mathematics seminar at the University of Berlin: origins, founding and the Kummer–Weierstrass years Ronald Calinger; 14. Kovalevskaya's research on the rotation of a rigid body Roger Cooke; 15. Mathematics education at nineteenth-century German technical colleges Susan Hensel; 16. American mathematics viewed objectively: the case of geometric models Peggy Kidwell; 17. The social and intellectual shaping of a new mathematical discipline: the role of the National Science Foundation in the rise of theoretial computer science and engineering William Aspray, Andrew Goldstein, and Bernard Williams; Part III. Integration of History of Mathematics Teaching: 18. History of mathematics and the teacher Torkil Heide; 19. Ethnomathematics: an explanation Ubiratan D'Ambrosio; 20. The necessity of history in teaching mathematics Frederick Rickey; 21. Mathematical masterpieces: teaching with original sources Richard C. Laubenbacher; A history of mathematics course for teachers based on great quotations Israel Kleiner; 22. Measuring an arc of meridian Michelle Gregoire; 23. From Egypt to Benjamin Banneker: African origins of false position solutions Beatrice Lumpkin; 24. Mary Everest Boole (1832–1916) Karen Dee Michalowicz; 25. Pupil's perception of the continuum Peter Bero; Historical motivation for a calculus course: Barrow's theorem Martin Flashman; 26. The history of the concept of function and some implications for classroom teaching Manfred Kronfellner; 27. Integration in finite terms: from Liouville's work to the calculus classroom of today M. K. Siu; 28. How many people ever lived James Tattersall.