Produktbild: Proof Technology in Mathematics Research and Teaching

Proof Technology in Mathematics Research and Teaching

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Mathematics Education in the Digital Era 14

ISBN: 3030284859
ISBN 13: 9783030284855
Herausgeber: Gila Hanna/David A Reid/Michael de Villiers
Verlag: Springer Verlag GmbH
Umfang: viii, 379 S., 54 s/w Illustr., 83 farbige Illustr., 379 p. 137 illus., 83 illus. in color.
Erscheinungsdatum: 18.10.2020
Auflage: 1/2020
Produktform: Kartoniert
Einband: Kartoniert

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.

Artikelnummer: 9865555 Kategorie:

Beschreibung

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

Herstellerkennzeichnung:


Springer Verlag GmbH
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69121 Heidelberg
DE

E-Mail: juergen.hartmann@springer.com

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