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Hart, Eric W.

Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

Hart, Eric W. - Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research, ebook

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ISBN: 9783319703084
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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
 
Publisher
Springer
Publication year
2018
Language
en
Edition
1
Series
ICME-13 Monographs
Category
Upbringing, Education
Format
Ebook
eISBN (PDF)
9783319703084
Printed ISBN
978-3-319-70307-7

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