• Title: Proof and Proving in Mathematics Education
• Author(s) Gila Hanna, Michael de Villiers
• Publisher: Springer; (February 17, 2012); eBook (Creative Commons Licensed)
• License(s): CC BY-NC-ND 4.0
• Paperback: 487 pages
• eBook: PDF and ePub
• Language: English
• ISBN-10: 9400721285
• ISBN-13: 978-9400721289
• Share This:  

Book Description

The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

• Gila Hanna is Professor Emeritus at the University of Toronto.

• Amazon

• Mathematics Education
• Mathematical Logic - Set Theory, Model Theory, Proof Theory, Computability, etc.
• Discrete Mathematics

• Proof and Proving in Mathematics Education (Gila Hanna, et al.)
• The Mirror Site (1) - PDF

• Teaching and Learning of Calculus (David Bressoud, et al.)

  Focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process.

• Mathematics Education in the Middle Grades

  This book discusses the challenges before the nation's mathematical sciences community to focus its energy on the improvement of middle grades mathematics education and to begin an ongoing national dialogue on middle grades mathematics education.

• Teaching Mathematics at Secondary Level (Tony Gardiner)

  This handbook for teachers will help them broaden and enrich their students' mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts.

• Book of Proof, 3rd Edition (Richard H. Hammack)

  This book is an introduction to the language and standard proof methods of mathematics. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra.

• Proof, Sets, and Logic (M. Randall Holmes)

  Addressing the importance of constructing and understanding mathematical proofs, this book introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics.

• Proofs and Concepts: The Fundamentals of Abstract Mathematics

  This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It helps students transition from solving problems to proving theorems.

• Mathematical Reasoning: Writing and Proof (Ted Sundstrom)

  Help students to develop logical thinking skills and to think abstractly, and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, counterexamples.

• Language, Proof and Logic (Jon Barwise, et al)

  This book covers first-order language in a method appropriate for first and second courses in logic, and is specially useful to undergraduates of philosophy, computer science, mathematics, and linguistics.

• An Introduction to Mathematical Reasoning (Peter J. Eccles)

  The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. It eases students into the rigors of university mathematics.

• Logical Reasoning (Bradley H. Dowden)

  The goal of this book is to improve your logical-reasoning skills. Your most important critical thinking skill is your skill at making judgments-not snap judgments that occur in the blink of an eye, but those that require careful reasoning.