Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

Gives practical examples from the classroomPresents suggestions for future researchProvides an overview of discrete mathematics from an international prespective

Presents extended papers from the Topic Study Group on Discrete Mathematics at the 13th International Congress on Mathematical Education (ICME-13), which was held in Hamburg, Germany from July 24 to 31, 2016 Includes practical examples from the classroom Puts forward suggestions for future research Provides an overview of discrete mathematics from an international perspective

Klappentext

Gives practical examples from the classroomPresents suggestions for future researchProvides an overview of discrete mathematics from an international prespective

Inhalt
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.<p