Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

Part I: The Landscape of Discrete Mathematics in the School Curriculum.- Discrete Mathematics is Essential Mathematics in a 21st Century School Curriculum (and introduction to this volume).- The Absence of Discrete Mathematics from Primary and Secondary Education in the United States and Why that is Counterproductive.- Discrete Mathematics in Lower School Grades? Situation and Possibilities in Italy.- Discrete Mathematics and the Affective Dimension of Mathematical Learning and Engagement.- Part II: Combinatorics and Combinatorial Reasoning.- Combinatorial Reasoning to Solve Problems.- Children's Combinatorial Counting Strategies and their Relationship to Mathematical Counting Principles.- Reinforcing Mathematical Concepts and Developing Mathematical Practices through Combinatorial Activity.- Complex Mathematics Education in the 21st Century: Improving Combinatorial Thinking based on Tamás Varga's Heritage and Recent Research Results.- Part III: Recursion and Recursive Thinking.- Discrete Dynamical Systems: A Pathway for Students to Become Enchanted with Mathematics.- How Recursion Supports Algebraic Understanding.- Part IV: Networks and Graphs.- Food Webs, Competition Graphs, and a 60-year-old Unsolved Problem.- Graph Theory in Primary, Middle and High School.- Part V: Fair Decision-Making and Game Theory.- Fairness.- Mathematical Research in the Classroom via Combinatorial Games.- Machines designed to play Nim games (1940-1970): A possible (re)use in the modern French mathematics curriculum?.- Part VI: Logic and Proof.- Mathematics and Logic: Their Relationship in the Teaching of Mathematics.