
- 421 pages
- English
- PDF
- Available on iOS & Android
The Notion of mathematical proof: Key rules and considerations
About this book
"The Notion Of Mathematical Proof: Key Rules And Considerations" is an edited book consisting of 16 contemporaneous open-access articles that aim to cover the different aspects of learning and teaching mathematical proof. The first part of this book aims at summing up factors that influence the cognitive development required to successfully understand and solve mathematical proofs. The second part of the book aims to overview implementations of learning methods for constructing and evaluating the validity of mathematical proof, as well as to provide strategies for overcoming possible difficulties in mathematical proof processing. It also includes other studies related to mathematical proof and a motion-based program for improving mathematical reasoning through action. This book is intended to reach out to an academic audience ranging from undergraduate students to junior researchers.
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Information
Table of contents
- Cover
- Title Page
- Copyright
- DECLARATION
- ABOUT THE EDITOR
- TABLE OF CONTENTS
- List of Contributors
- List of Abbreviations
- Preface
- Chapter 1 Venues for Analytical Reasoning Problems: How Children Produce Deductive Reasoning
- Chapter 2 Relations between Generalization, Reasoning and Combinatorial Thinking in Solving Mathematical Open-Ended Problems within Mathematical Contest
- Chapter 3 Counteracting Destructive Student Misconceptions of Mathematics
- Chapter 4 Adversity Quotient and Resilience in Mathematical Proof Problem-Solving Ability
- Chapter 5 Profile of Studentsā Errors in Mathematical Proof Process Viewed from Adversity Quotient (AQ)
- Chapter 6 Introducing a Measure of Perceived Self-efficacy for Proof (PSEP): Evidence of Validity
- Chapter 7 Deductive or Inductive? Prospective Teachersā Preference of Proof Method on an Intermediate Proof Task
- Chapter 8 Flaws in Proof Constructions of Postgraduate Mathematics Education Student Teachers
- Chapter 9 Mathematical Understanding and Proving Abilities: Experiment With Undergraduate Student By Using Modified Moore Learning Approach
- Chapter 10 Understanding on Strategies of Teaching Mathematical Proof for Undergraduate Students
- Chapter 11 Application of Discovery Learning Method in Mathematical Proof of Students in Trigonometry
- Chapter 12 Organizing the Mathematical Proof Process with the Help of Basic Components in Teaching Proof: Abstract Algebra Example
- Chapter 13 The Implementation of Self-explanation Strategy to Develop Understanding Proof in Geometry
- Chapter 14 Mathematical Proof: The Learning Obstacles of Pre-Service Mathematics Teachers on Transformation Geometry
- Chapter 15 Studentsā Mathematical Problem-Solving Ability Based on Teaching Models Intervention and Cognitive Style
- Chapter 16 Grounded and Embodied Mathematical Cognition: Promoting Mathematical Insight and Proof using Action and Language
- Index
- Back Cover