2009, ISBN: 9781441905758

[ED: Hardcover], [PU: Springer / Springer US / Springer, Berlin], In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been pa… Mehr…

[ED: Hardcover], [PU: Springer / Springer US / Springer, Berlin], 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 mathematical reasoning. - The role of mathematics in long-term cognitive development of reasoning. - Proof as experiment in the work of Wittgenstein. - Relationships between mathematical proof, problem-solving, and explanation. Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics. 2009. viii, 294 S. VIII, 294 p. 235 mm Versandfertig in 6-10 Tagen, DE, Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)<

2009, ISBN: 9781441905758

Philosophical and Educational Perspectives, Buch, Hardcover, 2010 ed. In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has bee… Mehr…

Philosophical and Educational Perspectives, Buch, Hardcover, 2010 ed. 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 mathematical reasoning. The role of mathematics in long-term cognitive development of reasoning. Proof as experiment in the work of Wittgenstein. Relationships between mathematical proof, problem-solving, and explanation. Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics. [PU: Springer-Verlag New York Inc.], Seiten: 294, Springer-Verlag New York Inc., 2009<

2009, ISBN: 9781441905758

Gebundene Ausgabe

[ED: Gebunden], [PU: Springer US], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Directs attention of educational researchers to newest … Mehr…

[ED: Gebunden], [PU: Springer US], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Directs attention of educational researchers to newest developments in the philosophy and practice of mathematics and their relevanceCritically examines recent, DE, Neuware, gewerbliches Angebot, Hardcover, 294, [GW: 603g], 1. Auflage, Banküberweisung, PayPal, [CT: Englischsprachige Bücher / Sonstiges - Englisch]<

ISBN: 9781441905758

1st Edition, by Gila Hanna; â??Hans Niels Jahnke; â??Helmut Pulte, PRINT ISBN: 9781441905758 E-TEXT ISBN: 9781441905765 Springer Nature eBook Other pricing structure might be available at… Mehr…

1st Edition, by Gila Hanna; â??Hans Niels Jahnke; â??Helmut Pulte, PRINT ISBN: 9781441905758 E-TEXT ISBN: 9781441905765 Springer Nature eBook Other pricing structure might be available at vitalsource.com., Springer<

2009, ISBN: 9781441905758

Philosophical and Educational Perspectives, Buch, Hardcover, 2010 ed. [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 2009