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)
Eric W. Hart and W. Gary Martin
The Absence of Discrete Mathematics from Primary and Secondary Education in the United States ... and Why that is Counterproductive
Joseph G. Rosenstein
Discrete Mathematics in Lower School Grades? Situation and Possibilities in Italy
Aaron Gaio and Benedetto Di Paola
Discrete Mathematics and the Affective Dimension of Mathematical Learning and Engagement
Gerald A. Goldin
Part II: Combinatorics and Combinatorial Reasoning
Combinatorial Reasoning to Solve Problems
Tom Coenen, Frits Hof, and Nellie Verhoef
Children's Combinatorial Counting Strategies and their Relationship to Mathematical Counting Principles
Karina Höveler
Reinforcing Mathematical Concepts and Developing Mathematical Practices through Combinatorial Activity
Elise Lockwood and Zack Reed Complex Mathematics Education in the 21st Century: Improving Combinatorial Thinking based on Tamás Varga's Heritage and Recent Research Results
Ödön Vancsó, Eliza Beregszászi, Hana Burian, György Emese, Eleonóra Stettner, and Judit Szitányi
Part III: Recursion and Recursive Thinking
Discrete Dynamical Systems: A Pathway for Students to Become Enchanted with Mathematics
Robert L. Devaney
How Recursion Supports Algebraic Understanding
James Sandefur, Kay Somers, and Rosalie Dance
Part IV: Networks and Graphs
Food Webs, Competition Graphs, and a 60-year-old Unsolved Problem
Margaret (Midge) Cozzens and Pratik Koirala
Graph Theory in Primary, Middle and High School
Daniela Ferrarello and Maria Flavia Mammana
Part V: Fair Decision-Making and Game Theory
Fairness
Sol Garfunkel
Mathematical Research in the Classroom via Combinatorial Games
Ximena Colipan
Machines designed to play Nim games (1940-1970): A possible (re)use in the modern French mathematics curriculum?
Lisa Rougetet
Part VI: Logic and Proof
Mathematics and Logic: Their Relationship in the Teaching of Mathematics
Vladimir I. Igoshin