Advances in Mathematics Education Research on Proof and Proving, Andreas J. Stylianides; Guershon Harel

Автор: Yves Bertot; G. Huet; Pierre Cast?ran; C. Paulin-M
Название: Interactive Theorem Proving and Program Development
ISBN: 3642058809 ISBN-13(EAN): 9783642058806
Издательство: Springer
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Цена: 69870.00 T
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Описание: A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

Автор: Melvin Fitting
Название: First-Order Logic and Automated Theorem Proving
ISBN: 1461275156 ISBN-13(EAN): 9781461275152
Издательство: Springer
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Цена: 79190.00 T
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Описание: There are many kinds of books on formal logic. It does contain a thorough presentation of formal logic and many proof techniques, and as such it contains all the material one would expect to find in a course in formal logic covering completeness but, not incompleteness issues.

Автор: Gila Hanna; Michael de Villiers
Название: Proof and Proving in Mathematics Education
ISBN: 9401780668 ISBN-13(EAN): 9789401780667
Издательство: Springer
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Цена: 213360.00 T
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Описание: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK*One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced.

Автор: Wen-ts?n Wu; X. Jin; D. Wang
Название: Mechanical Theorem Proving in Geometries
ISBN: 3211825061 ISBN-13(EAN): 9783211825068
Издательство: Springer
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Цена: 81050.00 T
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Описание: " Dur- ing the time of the ancient Greeks, there were two different methods dealing with geometry: one, represented by the Euclid`s "Elements," purely pursued the logical relations among geometric entities, excluding completely the quantita- tive relations, as to establish the axiom system of geometry.

Автор: Monty Newborn
Название: Automated Theorem Proving
ISBN: 1461265193 ISBN-13(EAN): 9781461265191
Издательство: Springer
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Цена: 111790.00 T
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Описание: This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving.

Автор: Andreas Stylianides; Guershon Harel
Название: Advances in mathematics education research on proof and proving
ISBN: 331970995X ISBN-13(EAN): 9783319709956
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.

Автор: Kristen Bieda, Eric Knuth, Amy Ellis
Название: Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12
ISBN: 0873536754 ISBN-13(EAN): 9780873536752
Издательство: Mare Nostrum (Eurospan)
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Цена: 36960.00 T
Наличие на складе: Невозможна поставка.
Описание: What is the difference between “proof” in mathematics and “proof” in science or a court of law? In mathematics, how does proof differ from other types of arguments? What forms can proof take besides the traditional two-column style? What activities constitute the process of proving? What roles do examples play in proving? Can examples ever prove a conjecture? Why does a single counterexample refute a conjecture?How much do you know…and how much do you need to know?Helping your students develop a robust understanding of mathematical proof and proving requires that you understand this aspect of mathematics deeply. But what does that mean?This book focuses on essential knowledge for teachers about proof and the process of proving. It is organised around five big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to proof and the activities involved in proving, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students…and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic.Focus on the ideas that you need to understand thoroughly to teach confidently.

Автор: Michael Z. Spivey
Название: The Art of Proving Binomial Identities
ISBN: 0815379420 ISBN-13(EAN): 9780815379423
Издательство: Taylor&Francis
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Цена: 91860.00 T
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Описание: The book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients).

Автор: Peter Baumgartner; Reiner H?hnle; Joachim Posegga
Название: Theorem Proving with Analytic Tableaux and Related Methods
ISBN: 3540593381 ISBN-13(EAN): 9783540593386
Издательство: Springer
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Цена: 69870.00 T
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Описание: Constitutes the proceedings of the 4th International Workshop on Theorem Proving with Analytic Tableaux and Related Methods, TABLEAU `95, held at Schlos Rheinfels, St Goar, Germany in May 1995. This book includes sections on extensions, modal logic, intuitionistic logic, the connection method and model elimination, linear logic, and applications.

Автор: Matt Kaufmann; Lawrence C. Paulson
Название: Interactive Theorem Proving
ISBN: 3642140513 ISBN-13(EAN): 9783642140518
Издательство: Springer
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Цена: 97820.00 T
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Описание: Constitutes the proceedings of the First International Conference on Interactive Theorem proving, ITP 2010, held in Edinburgh, UK, in July 2010. This title features the papers that are organized in topics such as counterexample generation, hybrid system verification, translations from one formalism to another, and cooperation between tools.

Автор: Thomas F. Melham; Juanito Camilleri
Название: Higher Order Logic Theorem Proving and Its Applications
ISBN: 3540584501 ISBN-13(EAN): 9783540584506
Издательство: Springer
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Цена: 83850.00 T
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Описание: This volume contains the proceedings of a workshop on the subject, held in Malta in 1994. Along with a number of papers on the design and applications of theorem-provers, there is a report on the applications of the higher order logic (HOL) system.

Автор: E. Thomas Schubert; Phillip J. Windley; James Alve
Название: Higher Order Logic Theorem Proving and Its Applications
ISBN: 3540602755 ISBN-13(EAN): 9783540602750
Издательство: Springer
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Цена: 81050.00 T
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Описание: The papers in this collection document the advances in the field, and fall into three general categories: representation of formalisms in higher order logic; applications of mechanized higher order logic; and enhancements to the HOL and other theorem proving systems.