{"product_id":"9781489982735","title":"Explanation and Proof in Mathematics: Philosophical and Educational Perspectives","description":"\u003ch1\u003eExplanation and Proof in Mathematics: Philosophical and Educational Perspectives\u003c\/h1\u003e \u003ch2\u003eHanna, Gila; Jahnke, Hans Niels; Pulte, Helmut\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn 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.  \u003cem\u003eExplanantion and Proof in Mathematics\u003c\/em\u003e 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).\u003c\/p\u003e\n\u003cp\u003eA sampling of the coverage:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eThe conjoint origins of proof and theoretical physics in ancient Greece.\u003c\/li\u003e\n\u003cli\u003eProof as bearers of mathematical knowledge.\u003c\/li\u003e\n\u003cli\u003eBridging knowing and proving in mathematical reasoning.\u003c\/li\u003e\n\u003cli\u003eThe role of mathematics in long-term cognitive development of reasoning.\u003c\/li\u003e\n\u003cli\u003eProof as experiment in the work of Wittgenstein.\u003c\/li\u003e\n\u003cli\u003eRelationships between mathematical proof, problem-solving, and explanation.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cem\u003eExplanation and Proof in Mathematics\u003c\/em\u003e is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2014-11-26\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781489982735\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4419-0576-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 294\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":50149897830540,"sku":"9781489982735","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781489982735.jpg?v=1779580939","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781489982735","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}