Proof Technology in Mathematics Research and Teaching

Häftad, Engelska, 2020

Av Gila Hanna, David A. Reid, Michael de Villiers, Michael De Villiers

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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

Utgivningsdatum2020-10-18
Mått155 x 235 x 26 mm
Vikt584 g
FormatHäftad
SpråkEngelska
SerieMathematics Education in the Digital Era
Antal sidor379
FörlagSpringer Nature Switzerland AG
ISBN9783030284855

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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.

“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)