Transdisciplinarity in Mathematics Education Blurring Disciplinary B

The book explores various facets of transdisciplinarity in mathematics education and its importance for research and practice. The book comprehensively outlines the ways that mathematics interacts with different disciplines, world views, and contexts; the

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ansdisciplinarity in Mathematics Education Blurring Disciplinary Boundaries

Transdisciplinarity in Mathematics Education

Limin Jao  •  Nenad Radakovic Editors

Transdisciplinarity in Mathematics Education Blurring Disciplinary Boundaries

Editors Limin Jao Department of Integrated Studies in Education McGill University Montreal, Québec, Canada

Nenad Radakovic Department of Teacher Education College of Charleston Charleston, South Carolina, USA

ISBN 978-3-319-63623-8    ISBN 978-3-319-63624-5 (eBook) DOI 10.1007/978-3-319-63624-5 Library of Congress Control Number: 2017953870 © 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

Foreword

To a modern reader, the prefix trans- can evoke a range of meanings, from the sublime to the mundane, depending on the context of its usage and the particular word that usually follows it. It is a powerful prefix that can create opposing meanings (e.g., transform vs. transgress) and situate meanings depending on the user. For instance, the term “transcendental” colloquially connotes esoteric practices associated with Eastern religions, where as in mathematics it refers to a very specific type of number, one that is not algebraic. It also turns out that although specific transcendental numbers such as π and e are most often referred to and perceived of as exotic, as the term “transcendental” might suggest, there happen to be “as many” of these numbers as there are real numbers, i.e., there are infinitely many! Given the wide range of meanings possible, it is important to know that the prefix trans- comes from Latin transcendere meaning to climb over or beyond or acro