Overview

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.  

Full Product Details

Author:   Eric W. Hart ,  James Sandefur
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2018
Weight:   0.454kg
ISBN:  

9783319889214

ISBN 10:   3319889214
Pages:   276
Publication Date:   06 June 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

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.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions