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  • © 2018

Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

Editors:

(view affiliations)
  • Presents extended papers from the Topic Study Group on Discrete Mathematics at the 13th International Congress on Mathematical Education (ICME-13), which was held in Hamburg, Germany from July 24 to 31, 2016

  • Includes practical examples from the classroom

  • Puts forward suggestions for future research

  • Provides an overview of discrete mathematics from an international perspective

Part of the book series: ICME-13 Monographs (ICME13Mo)

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  • ISBN: 978-3-319-70308-4
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USD 119.00
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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xii
  2. Combinatorics and Combinatorial Reasoning

    1. Front Matter

      Pages 67-67
    2. Combinatorial Reasoning to Solve Problems

      • Tom Coenen, Frits Hof, Nellie Verhoef
      Pages 69-79
    3. 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
      Pages 111-134
  3. Recursion and Recursive Thinking

    1. Front Matter

      Pages 135-135
    2. How Recursion Supports Algebraic Understanding

      • James Sandefur, Kay Somers, Rosalie Dance
      Pages 145-162
  4. Networks and Graphs

    1. Front Matter

      Pages 163-163
    2. Food Webs, Competition Graphs, and a 60-Year Old Unsolved Problem

      • Margaret (Midge) Cozzens, Pratik Koirala
      Pages 165-181
    3. Graph Theory in Primary, Middle, and High School

      • Daniela Ferrarello, Maria Flavia Mammana
      Pages 183-200
  5. Fair Decision-Making and Game Theory

    1. Front Matter

      Pages 201-201
    2. Fairness

      • Sol Garfunkel
      Pages 203-213

About this book

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 initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. 

Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.

Keywords

  • Mathematical Education
  • graph theory
  • recursion
  • discrete dynamical systems
  • mathematics of fairness
  • logic in mathematics education
  • combinatorial reasoning
  • affect in mathematics education
  • learning and instruction

Editors and Affiliations

  • Mathematics Department, Grand View University, Des Moines, USA

    Eric W. Hart

  • Department of Mathematics and Statistics, Georgetown University, Washington, USA

    James Sandefur

Bibliographic Information

Buying options

eBook
USD 89.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-70308-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 119.00
Price excludes VAT (USA)
Hardcover Book
USD 119.00
Price excludes VAT (USA)