Mathematical Modelling Education and Sense-making

This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in

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Gloria Ann Stillman Gabriele Kaiser Christine Erna Lampen  Editors

Mathematical Modelling Education and Sense-making

International Perspectives on the Teaching and Learning of Mathematical Modelling Editorial Board IPTL Series editors Gabriele Kaiser, University of Hamburg, Germany Gloria Ann Stillman, Australian Catholic University, Australia Editorial board Maria Salett Biembengut, Pontifical Catholic University of Rio Grande do Sul - PUCRS, Brazil Werner Blum, University of Kassel, Germany Helen Doerr, Syracuse University, USA Peter Galbraith, University of Queensland, Australia Toshikazu Ikeda, Yokohoma National University, Japan Mogens Niss, Roskilde University, Denmark Jinxing Xie, Tsinghua University, China

This book series will publish various books from different theoretical perspectives around the world focusing on Teaching and Learning of Mathematical Modelling at Secondary and Tertiary level. Fully refereed books arising from the biennial conference called ICTMA, organised by the ICMI affiliated Study Group ICTMA (International Community of Teachers of Mathematical Modelling and Applications) will also be published in this series. These books display the worldwide state-of-­ the-art in this field and will be of interest for a wider audience than the conference participants. ICTMA is a worldwide unique group, in which not only mathematics educators aiming for education at school level are included but also applied mathematicians interested in teaching and learning modelling at tertiary level are represented. ICTMA discusses all aspects related to Teaching and Learning of Mathematical Modelling at Secondary and Tertiary Level, e.g. usage of technology in modelling, psychological aspects of modelling and its teaching, modelling competencies, modelling examples and courses, teacher education and teacher education courses. More information about this series at http://www.springer.com/series/10093

Gloria Ann Stillman  •  Gabriele Kaiser Christine Erna Lampen Editors

Mathematical Modelling Education and Sense-making

Editors Gloria Ann Stillman Australian Catholic University Ballarat, VIC, Australia

Gabriele Kaiser University of Hamburg Hamburg, Germany

Christine Erna Lampen Stellenbosch University Stellenbosch, South Africa

ISSN 2211-4920     ISSN 2211-4939 (electronic) International Perspectives on the Teaching and Learning of Mathematical Modelling ISBN 978-3-030-37672-7    ISBN 978-3-030-37673-4 (eBook) https://doi.org/10.1007/978-3-030-37673-4 © Springer Nature Switzerland AG 2020 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, tra