## Hart, Eric W.

# Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

**Table of contents**

**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