APOS Theory A Framework for Research and Curriculum Development in M
Although APOS Theory has been used extensively in numerous scholarly publications, in the design of textbooks, and in teaching practice, there is no single reference that contains all the relevant information about its components, and provides guidance ab
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Theory
A Framework for Research and Curriculum Development in Mathematics Education
APOS Theory
Ilana Arnon • Jim Cottrill • Ed Dubinsky Asuman Oktac¸ • Solange Roa Fuentes Marı´a Trigueros • Kirk Weller
APOS Theory A Framework for Research and Curriculum Development in Mathematics Education
Ilana Arnon Givat Washington Academic College of Education Tel Aviv, Israel
Jim Cottrill Department of Mathematics Ohio Dominican University Columbus, Ohio, USA
Ed Dubinsky School of Education University of Miami Miami, Florida, USA
Asuman Oktac¸ Departamento de Matema´tica Educativa Cinvestav-IPN Mexico City, Mexico
Solange Roa Fuentes Escuela de Matema´ticas Universidad Industrial de Santander Bucaramanga, Colombia
Marı´a Trigueros Departamento de Matema´ticas Instituto Tecnolo´gico Auto´nomo de Me´xico Col. Tizapa´n, San Angel, Mexico
Kirk Weller Department of Mathematics Ferris State University Big Rapids, Michigan, USA
ISBN 978-1-4614-7965-9 ISBN 978-1-4614-7966-6 (eBook) DOI 10.1007/978-1-4614-7966-6 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013942393 © Springer Science+Business Media New York 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
The interest in producing this book arose out of a concern for
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