Overview
- 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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Table of contents(16 chapters)
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The Landscape of Discrete Mathematics in the School Curriculum
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Combinatorics and Combinatorial Reasoning
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Recursion and Recursive Thinking
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Networks and Graphs
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Fair Decision-Making and Game Theory
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.Â
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.
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Editors and Affiliations
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Mathematics Department, Grand View University, Des Moines, USA
Eric W. Hart
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Department of Mathematics and Statistics, Georgetown University, Washington, USA
James Sandefur
Bibliographic Information
Book Title: Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research
Editors: Eric W. Hart, James Sandefur
Series Title: ICME-13 Monographs
DOI: https://doi.org/10.1007/978-3-319-70308-4
Publisher: Springer Cham
eBook Packages: Education, Education (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-70307-7Published: 18 January 2018
Softcover ISBN: 978-3-319-88921-4Published: 06 June 2019
eBook ISBN: 978-3-319-70308-4Published: 09 December 2017
Series ISSN: 2520-8322
Series E-ISSN: 2520-8330
Edition Number: 1
Number of Pages: XII, 276
Number of Illustrations: 84 b/w illustrations
Topics: Mathematics Education, Learning & Instruction, Teaching and Teacher Education, Curriculum Studies, Discrete Mathematics