Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

  • Eric W. Hart
  • James Sandefur

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. The Landscape of Discrete Mathematics in the School Curriculum

  3. Combinatorics and Combinatorial Reasoning

  4. Recursion and Recursive Thinking

    1. Front Matter
      Pages 135-135
    2. James Sandefur, Kay Somers, Rosalie Dance
      Pages 145-162
  5. Networks and Graphs

    1. Front Matter
      Pages 163-163
    2. Margaret (Midge) Cozzens, Pratik Koirala
      Pages 165-181
    3. Daniela Ferrarello, Maria Flavia Mammana
      Pages 183-200
  6. Fair Decision-Making and Game Theory

  7. Logic and Proof

    1. Front Matter
      Pages 251-251
  8. Back Matter
    Pages 273-276

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.


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

Editors and affiliations

  • Eric W. Hart
    • 1
  • James Sandefur
    • 2
  1. 1.Mathematics DepartmentGrand View UniversityDes MoinesUSA
  2. 2.Department of Mathematics and StatisticsGeorgetown UniversityWashingtonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Education
  • Print ISBN 978-3-319-70307-7
  • Online ISBN 978-3-319-70308-4
  • Series Print ISSN 2520-8322
  • Series Online ISSN 2520-8330
  • Buy this book on publisher's site