Learning How to Teach Mathematical Modeling in School and Teacher Education
This timely resource fills a gap in existing literature on mathematical modeling by presenting both theory- and evidence-based ideas for its teaching and learning. The book outlines four key professional competencies that must be developed in order to eff
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Learning How to Teach Mathematical Modeling in School and Teacher Education
Learning How to Teach Mathematical Modeling in School and Teacher Education
Rita Borromeo Ferri
Learning How to Teach Mathematical Modeling in School and Teacher Education
Rita Borromeo Ferri Institute of Mathematics University of Kassel Kassel, Germany
ISBN 978-3-319-68071-2 ISBN 978-3-319-68072-9 (eBook) https://doi.org/10.1007/978-3-319-68072-9 Library of Congress Control Number: 2017954948 © 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
Dedicated to Dominik, Giulia and Laura
Foreword
Mathematical modeling means translating between the real world and mathematics in both directions. This entails mathematising real world problems by choosing or constructing suitable mathematical models (the translation from the real world into mathematics), as well as interpreting and validating results of the solution of corresponding mathematical problems in real world contexts (the translation from mathematics into the real world). Mathematical modeling is an important competency that students of all ages ought to acquire. Among the reasons why modeling is so important is its role as a method for better understanding the world around us which is full of mathematics, often hidden in technology. Furthermore, links to the real world may support the understanding of mathematical content and motivate students to engage with it. In addition, connections between reality and mathematics are an indispensable ingredient for an adequate picture of mathematics. So, mathematics teachers at all levels have to be prepared to teach modeling
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