Date : 2010
Type : Livre / Book
Langue / Language : anglais / English
ISBN : 978-1-4419-0575-8
EAN : 9781441905758
Classification Dewey : 510.1
Résumé / Abstract : In the four decades since Imre Lakatos declared mathematics a quasi-empirical science, increasing attention has been paid to the process of proof and argumentation in the field-a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanation and Proof in Mathematics assembles perspectives from the education, philosophy, and history of mathematics to strengthen mutual awareness of and share recent findings and advances in their interrelated fields. With examples ranging from the anti-Euclidean geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of authoritative versus authoritarian teaching styles).