| 书目名称 | Explanation and Proof in Mathematics |
| 副标题 | Philosophical and Ed |
| 编辑 | Gila Hanna,Hans Niels Jahnke,Helmut Pulte |
| 视频video | |
| 概述 | Directs attention of educational researchers to newest developments in the philosophy and practice of mathematics and their relevance.Critically examines recent literature in the philosophy of mathema |
| 图书封面 |  |
| 描述 | .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. .Explanantion and Proof in Mathematics. assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the 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)...A sampling of the coverage:...The conjoint origins of proof and theoretical physics in ancient Greece...Proof as bearers of mathematical knowledge...Bridging knowing and proving in mat |
| 出版日期 | Book 2010 |
| 关键词 | Hans Niels Jahnke; Mathematical Understanding; Problem Solving; Proof and Idealization; Proofs as Experi |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4419-0576-5 |
| isbn_softcover | 978-1-4899-8273-5 |
| isbn_ebook | 978-1-4419-0576-5 |
| copyright | Springer-Verlag US 2010 |
发表于 2025-3-21 17:38:58
