Proof Technology in Mathematics Research and Teaching

Häftad, Engelska, 2020

Del 14 i serien Mathematics Education in the Digital Era

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2020-10-18
Mått:155 x 235 x 26 mm
Vikt:584 g
Format:Häftad
Språk:Engelska
Serie:Mathematics Education in the Digital Era
Antal sidor:379
Förlag:Springer Nature Switzerland AG
ISBN:9783030284855

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Recensioner i media

“This book is intended for specialists in mathematics education with an interest in computer science advances as well as for researchers in the field of automated reasoning with an interest in the pedagogical and didactic implications of their work. It provides a valuable contribution to mathematics education by initiating a process of in-depth reflection on the educational value of new technological tools such as automatic theorem provers and dynamic geometric environments.” (Frédéric Morneau-Guérin, MAA Reviews, May 24, 2020)

Innehållsförteckning

Chapter 1. Proof technology: Implications for teaching.- Chapter 2. A fully automatic theorem prover with human-style output.- Chapter 3. A common type of rigorous proof that resists Hilbert's programme.- Chapter 4. SMTCoq: Mixing automatic and interactive proof technologies.- Chapter 5. Studying algebraic structures using Prover9 and Mace4.- Chapter 6. Didactical issues at the interface of mathematics and computer science.- Chapter 7. Issues and challenges in instrumental proof.- Chapter 8. Reasoning by equivalence: the potential contribution of an automatic proof checker.- Chapter 9. Virtual manipulatives and students’ counterexamples during proving.- Chapter 10. Proof technology and learning in mathematics: Common issues and perspectives.