Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research (eBook, PDF)

Redaktion: Hart, Eric W.; Sandefur, James

• Format: PDF

Produktbeschreibung

Gives practical examples from the classroom

Presents suggestions for future research

Provides an overview of discrete mathematics from an international prespective

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 276
• Erscheinungstermin: 9. Dezember 2017
• Englisch
• ISBN-13: 9783319703084
• Artikelnr.: 52996549

Inhaltsangabe

Part I: The Landscape of Discrete Mathematics in the School Curriculum.- Discrete Mathematics is Essential Mathematics in a 21^st 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.