Hart, Eric W.
Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research
Part I. The Landscape of Discrete Mathematics in the School Curriculum
1. Discrete Mathematics Is Essential Mathematics in a 21st Century School Curriculum
Eric W. Hart, W. Gary Martin
2. The Absence of Discrete Mathematics in Primary and Secondary Education in the United States… and Why that Is Counterproductive
Joseph G. Rosenstein
3. Discrete Mathematics in Lower School Grades? Situation and Possibilities in Italy
Aaron Gaio, Benedetto Paola
4. Discrete Mathematics and the Affective Dimension of Mathematical Learning and Engagement
Gerald A. Goldin
Part II. Combinatorics and Combinatorial Reasoning
5. Combinatorial Reasoning to Solve Problems
Tom Coenen, Frits Hof, Nellie Verhoef
6. Children’s Combinatorial Counting Strategies and their Relationship to Conventional Mathematical Counting Principles
Karina Höveler
7. Reinforcing Mathematical Concepts and Developing Mathematical Practices Through Combinatorial Activity
Elise Lockwood, Zackery Reed
8. 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, Judit Szitányi
Part III. Recursion and Recursive Thinking
9. Discrete Dynamical Systems: A Pathway for Students to Become Enchanted with Mathematics
Robert L. Devaney
10. How Recursion Supports Algebraic Understanding
James Sandefur, Kay Somers, Rosalie Dance
Part IV. Networks and Graphs
11. Food Webs, Competition Graphs, and a 60-Year Old Unsolved Problem
Margaret (Midge) Cozzens, Pratik Koirala
12. Graph Theory in Primary, Middle, and High School
Daniela Ferrarello, Maria Flavia Mammana
Part V. Fair Decision-Making and Game Theory
13. Fairness
Sol Garfunkel
14. Mathematical Research in the Classroom via Combinatorial Games
Ximena Colipan
15. 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
16. Mathematics and Logic: Their Relationship in the Teaching of Mathematics
Vladimir I. Igoshin
Keywords: Education, Mathematics Education, Learning & Instruction, Teaching and Teacher Education, Curriculum Studies, Discrete Mathematics
- Editor
- Hart, Eric W.
- Sandefur, James
- Publisher
- Springer
- Publication year
- 2018
- Language
- en
- Edition
- 1
- Series
- ICME-13 Monographs
- Page amount
- 12 pages
- Category
- Upbringing, Education
- Format
- Ebook
- eISBN (PDF)
- 9783319703084
- Printed ISBN
- 978-3-319-70307-7