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Teaching and learning discrete mathematics worldwide : curriculum and research / Eric W. Hart, James Sandefur, editors.

Hart, Eric W., editor.; Sandefur, James Daniel, editor.
2018
QA76.9.M35
Available Online
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Title
Teaching and learning discrete mathematics worldwide : curriculum and research / Eric W. Hart, James Sandefur, editors.
ISBN
9783319703084 (electronic book)
3319703080 (electronic book)
9783319703077
3319703072
DOI
https://doi.org/10.1007/978-3-319-70308-4
Published
Cham : Springer, 2018.
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-319-70308-4 doi
Call Number
QA76.9.M35
Dewey Decimal Classification
004.0151
Summary
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.ĩscrete 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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (viewed December 21, 2017).
Added Author
Hart, Eric W., editor.
Sandefur, James Daniel, editor.
Series
ICME-13 monographs.
Available in Other Form
Print version: 9783319703077
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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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