Mathematical Problem Posing From Research to Effective Practice
This international review offers current findings on the art and science of problem posing and its multiple contributions to mathematics teaching, learning, training, and curriculum design. Diverse perspectives on problem posing frame the concept as a spr
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Florence Mihaela Singer Nerida F. Ellerton Jinfa Cai Editors
Mathematical Problem Posing From Research to Effective Practice
Research in Mathematics Education
Series editors Jinfa Cai James Middleton
More information about this series at http://www.springer.com/series/13030
Florence Mihaela Singer • Nerida F. Ellerton Jinfa Cai Editors
Mathematical Problem Posing From Research to Effective Practice
Editors Florence Mihaela Singer Department of Educational Sciences University of Ploiesti Bucharest, Romania
Nerida F. Ellerton Department of Mathematics Illinois State University Normal, IL, USA
Jinfa Cai Department of Mathematical Sciences University of Delaware Newark, DE, USA
Research in Mathematics Education ISBN 978-1-4614-6257-6 ISBN 978-1-4614-6258-3 DOI 10.1007/978-1-4614-6258-3
(eBook)
Library of Congress Control Number: 2015938695 Springer New York Heidelberg Dordrecht London © Springer Science+Business Media New York 2015 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. Printed on acid-free paper Springer Science+Business Media LLC New York is part of Springer Science+Business Media (www.springer.com)
Foreword
This is the second book in the Research in Mathematics Education series. Since the publication of the first edition in 1983 of The Art of Problem Posing by Brown and Walter, there has been increased effort to incorporate problem posing into school mathematics at different educational levels around the world. In the field of mathematics education, problem posing has been viewed not only as a means to understand students’ mathematical thinking but also as a means to teach mathematics with understanding. This volume has at least the following three features. First, it presents the state of the art of research in mathematical problem posing. Readers will be well informed about problem-posing research as a line of scientific inquiry. The 52 authors of the 26 chapters pay careful attention to both past accomplishment and future directions of studies. Th
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