Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research edited by Eric W. Hart, James Sandefur.

This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiative...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Hart, Eric W. (Editor), Sandefur, James (Editor)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:ICME-13 Monographs,
Springer eBook Collection.
Subjects:
Mathematics—Study and teaching .
Learning.
Instruction.
Teaching.
Curriculums (Courses of study).
Education—Curricula.
Discrete mathematics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.

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