This book brings together 10 experiments which introduce historical
perspectives into mathematics classrooms for 11 to 18-year-olds. The
authors suggest that students should not only read ancient texts, but
also should construct, draw and manipulate. The different chapters refer
to ancient Greek, Indian, Chinese and Arabic mathematics as well as to
contemporary mathematics. Students are introduced to well-known
mathematicians-such as Gottfried Leibniz and Leonard Euler-as well as to
less famous practitioners and engineers. Always, there is the attempt to
associate the experiments with their scientific and cultural contexts.
One of the main values of history is to show that the notions and
concepts we teach were invented to solve problems. The different
chapters of this collection all have, as their starting points, historic
problems-mathematical or not. These are problems of exchanging and
sharing, of dividing figures and volumes as well as engineers' problems,
calculations, equations and congruence. The mathematical reasoning which
accompanies these actions is illustrated by the use of drawings,
folding, graphical constructions and the production of machines.