Competitions for Young Mathematicians Perspectives from Five Contine

This book gathers the best presentations from the Topic Study Group 30: Mathematics Competitions at ICME-13 in Hamburg, and some from related groups, focusing on the field of working with gifted students. Each of the chapters includes not only original id

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Alexander Soifer Editor

Competitions for Young Mathematicians Perspectives from Five Continents

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

Alexander Soifer Editor

Competitions for Young Mathematicians Perspectives from Five Continents

With the Foreword by Gabriele Kaiser

123

Editor Alexander Soifer Osborne Center for Science & Engineering University of Colorado, Colorado Springs Colorado Springs, CO USA

ISSN 2520-8322 ICME-13 Monographs ISBN 978-3-319-56584-2 DOI 10.1007/978-3-319-56585-9

ISSN 2520-8330

(electronic)

ISBN 978-3-319-56585-9

(eBook)

Library of Congress Control Number: 2017936346 © Springer International Publishing AG 2017 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

This book is dedicated to all those people around the world Who are passing baton to next generations of mathematicians

Foreword

Mathematical competitions are a chance for mathematically talented young scholars to experience mathematics as a research-oriented discipline. These competitions offer the chance to get insight into the beauty of mathematical structures at