Mathematical Problem Solving Current Themes, Trends, and Research
This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inqui
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Peter Liljedahl Manuel Santos-Trigo Editors
Mathematical Problem Solving Current Themes, Trends, 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 conference and includes the best papers from one of the ICME-13 Topical Study Groups, Discussion Groups or presentations from the thematic afternoon.
More information about this series at http://www.springer.com/series/15585
Peter Liljedahl Manuel Santos-Trigo •
Editors
Mathematical Problem Solving Current Themes, Trends, and Research
123
Editors Peter Liljedahl Faculty of Education Simon Fraser University Burnaby, BC, Canada
Manuel Santos-Trigo Department of Mathematics Education Cinvestav-Instituto Politecnico Nacional Mexico City, Distrito Federal, Mexico
ISSN 2520-8322 ISSN 2520-8330 (electronic) ICME-13 Monographs ISBN 978-3-030-10471-9 ISBN 978-3-030-10472-6 (eBook) https://doi.org/10.1007/978-3-030-10472-6 Library of Congress Control Number: 2018964929 © Springer Nature Switzerland AG 2019 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. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Contents
Part I 1
2
“Looking Back” to Solve Differently: Familiarity, Fluency, and Flexibility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Hartono Tjoe
3
Future-Oriented Thinking and Activity in Mathematical Problem Solving . . . . . . . . .
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