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Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

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Cover of 'Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research'

Table of Contents

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    Book Overview
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    Chapter 1 Discrete Mathematics Is Essential Mathematics in a 21st Century School Curriculum
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    Chapter 2 The Absence of Discrete Mathematics in Primary and Secondary Education in the United States… and Why that Is Counterproductive
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    Chapter 3 Discrete Mathematics in Lower School Grades? Situation and Possibilities in Italy
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    Chapter 4 Discrete Mathematics and the Affective Dimension of Mathematical Learning and Engagement
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    Chapter 5 Combinatorial Reasoning to Solve Problems
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    Chapter 6 Children’s Combinatorial Counting Strategies and their Relationship to Conventional Mathematical Counting Principles
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    Chapter 7 Reinforcing Mathematical Concepts and Developing Mathematical Practices Through Combinatorial Activity
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    Chapter 8 Complex Mathematics Education in the 21st Century: Improving Combinatorial Thinking Based on Tamás Varga’s Heritage and Recent Research Results
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    Chapter 9 Discrete Dynamical Systems: A Pathway for Students to Become Enchanted with Mathematics
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    Chapter 10 How Recursion Supports Algebraic Understanding
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    Chapter 11 Food Webs, Competition Graphs, and a 60-Year Old Unsolved Problem
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    Chapter 12 Graph Theory in Primary, Middle, and High School
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    Chapter 13 Fairness
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    Chapter 14 Mathematical Research in the Classroom via Combinatorial Games
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    Chapter 15 Machines Designed to Play Nim Games (1940–1970): A Possible (Re)Use in the Modern French Mathematics Curriculum?
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    Chapter 16 Mathematics and Logic: Their Relationship in the Teaching of Mathematics
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