Mathematics All books
Stella Baruk is known for her uncompromising criticism of the way mathematics is taught at school. She sees children's frequent aversion to the subject as a clear demonstration of the failure of current methods. Following her earlier book, L'Age du Capitaine, in which she denounced the meaningless mathematical problems that children were burdened with and enjoined to solve, she now addresses the difficulties encountered by the new generation of the captain's children. She has reproduced pages from the exercise books of primary school pupils, with a commentary underlining the confusion created by modern maths in the minds of children who are not yet familiar with mathematics. Her message is clear: the fault lies not in modern maths, but in the fact that the cart has been put before the horse. Modern maths was created to generalise operations and structures that recur in every aspect of mathematics, and modern maths cannot be correctly understood without the full mastery of those operations and structures. Yet, the teaching of mathematics has been turned on its head, with the abstract being taught before the concrete and the general before the specific - with the result that empty formalism is all that is being passed on. Baruk's very precise analyses, illustrated with specific examples, will help parents understand their children's mistakes and difficulties, so that they can help them overcome them. Stella Baruk is a mathematics teacher and pedagogical researcher.
An attractive (color illustrations) and very instructive book for which Gérard Berry has made use of his experience as a lecturer and a teacher of children 9-12 years-old at a Montessori school. A book that fills a gap in knowledge: quite simply, it helps to understand and better anticipate the great changes that are occurring right before our eyes.
What does the world look like from a mathematical perspective ? This is what Claude-Paul Bruter explains through the fundamental principles of the discipline, from the theorem of Thalès to differential forms. He explores the notions of vector and space curvature, the implicit function theorem, and the characteristic of Euler-Poincaré, the different geometries and topological surfaces. Written in part for students, this work is accessible to all those interested in mathematics. Claude-Paul Bruter is a professor at the University of Créteil
The first woman elected to the Academy of Sciences, Yvonne Choquet-Bruhat is one of the greatest mathematicians and physicists of our time. With this book she brings us a very personal account where private life mixes with scientific discovery and the broad sweep of history.