Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

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 curre

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Eric W. Hart James Sandefur Editors

Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

ICME-13 Monographs Series editor Gabriele Kaiser, Faculty of Education, Didactics of Mathematics, Universität Hamburg, Hamburg, Germany

Each volume in the series presents state-of-the art research on a particular topic in mathematics education and reflects the international debate as broadly as possible, while also incorporating insights into lesser-known areas of the discussion. Each volume is based on the discussions and presentations during the ICME-13 Congress and includes the best papers from one of the ICME-13 Topical Study Groups or Discussion Groups.

More information about this series at http://www.springer.com/series/15585

Eric W. Hart James Sandefur •

Editors

Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

123

Editors Eric W. Hart Mathematics Department Grand View University Des Moines, IA USA

James Sandefur Department of Mathematics and Statistics Georgetown University Washington, DC USA

ISSN 2520-8322 ISSN 2520-8330 (electronic) ICME-13 Monographs ISBN 978-3-319-70307-7 ISBN 978-3-319-70308-4 (eBook) https://doi.org/10.1007/978-3-319-70308-4 Library of Congress Control Number: 2017957205 © Springer International Publishing AG 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

“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 (as referenced in the first chapter, “Discrete Mathematics is Essential Mathematics in a 21st Century School Curriculum,” of this volum