Proof Technology in Mathematics Research and Teaching - Couverture souple

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9783030284855: Proof Technology in Mathematics Research and Teaching

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ISBN 10 : 3030284859 ISBN 13 : 9783030284855

Editeur : Springer, 2020

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Provides a much needed update on new developments on proof in the digital era

Brings new ideas on teaching proof and proving in mathematics education

Emphasizes interdisciplinary approaches on education, philosophy and technology

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2020
Langue: anglais
ISBN 10: 3030284859
ISBN 13: 9783030284855
Reliure: Broch�
Nombre de pages: 388
�diteur: Hanna Gila, Reid David A., De Villiers Michael
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Proof Technology in Mathematics Research and Teaching (eng)

Hanna, Gila

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ISBN 10 : 3030284859 ISBN 13 : 9783030284855

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Proof Technology in Mathematics Research and Teaching (Mathematics Education in the Digital Era, 14)

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Proof Technology in Mathematics Research and Teaching

Gila Hanna

Edit� par Springer International Publishing Okt 2020, 2020

ISBN 10 : 3030284859 ISBN 13 : 9783030284855

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field. 388 pp. Englisch. N� de r�f. du vendeur 9783030284855

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Proof Technology in Mathematics Research and Teaching

Hanna, Gila|Reid, David A.|de Villiers, Michael

Edit� par Springer International Publishing, 2020

ISBN 10 : 3030284859 ISBN 13 : 9783030284855

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics . N� de r�f. du vendeur 448677829

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Proof Technology in Mathematics Research and Teaching (Mathematics Education in the Digital Era)

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ISBN 10 : 3030284859 ISBN 13 : 9783030284855

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Proof Technology in Mathematics Research and Teaching: 14 (Mathematics Education in the Digital Era)

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ISBN 10 : 3030284859 ISBN 13 : 9783030284855

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Etat : New. pp. VIII, 379 137 illus., 83 illus. in color. 1st ed. 2019 edition NO-PA16APR2015-KAP. N� de r�f. du vendeur 26384559641

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Proof Technology in Mathematics Research and Teaching

Gila Hanna

Edit� par Springer, Palgrave Macmillan Okt 2020, 2020

ISBN 10 : 3030284859 ISBN 13 : 9783030284855

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Provides a much needed update on new developments on proof in the digital eraBrings new ideas on teaching proof and proving in mathematics educationEmphasizes interdisciplinary approaches on education, philosophy and technologySpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 388 pp. Englisch. N� de r�f. du vendeur 9783030284855

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Proof Technology in Mathematics Research and Teaching

Gila Hanna

Edit� par Springer International Publishing, 2020

ISBN 10 : 3030284859 ISBN 13 : 9783030284855

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field. N� de r�f. du vendeur 9783030284855

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