The Teaching and Learning of Statistics International Perspectives

This stimulating overview of current innovations in teaching and learning statistics reflects both ongoing trends in the field and the increasing relevance of statistics in our data-driven era. A global panel of scholars, educators, and researchers docume

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The Teaching and Learning of Statistics International Perspectives

The Teaching and Learning of Statistics

Dani Ben-Zvi • Katie Makar Editors

The Teaching and Learning of Statistics International Perspectives

Editors Dani Ben-Zvi Faculty of Education The University of Haifa Haifa, Israel

Katie Makar School of Education The University of Queensland St Lucia, QLD, Australia

ISBN 978-3-319-23469-4 ISBN 978-3-319-23470-0 DOI 10.1007/978-3-319-23470-0

(eBook)

Library of Congress Control Number: 2015958808 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 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 International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)

Contents

1

International Perspectives on the Teaching and Learning of Statistics ....................................................................... Dani Ben-Zvi and Katie Makar

Part I

1

Integrating the Contextual and the Statistical Worlds

2

Young Students’ Mental Modelling of Statistical Situations............... Andreas Eichler and Markus Vogel

13

3

Children’s Wonder How to Wander Between Data and Context ....... Dani Ben-Zvi and Keren Aridor-Berger

25

4

Supporting Students to Develop Concepts Underlying Sampling and to Shuttle Between Contextual and Statistical Spheres ............... Adri Dierdorp, Arthur Bakker, Jan van Maanen, and Harrie Eijkelhof

Part II

37

Learning Statistics at the School Level

5

The Language of Shape .......................................................................... Pip Arnold and Maxine Pfannkuch

51

6

Development of an Understanding of a Sampling Distribution .......... Eun-Sung Ko

63

7

Korean High School Students’ Understanding of the Concept of Correlation .......................................................................................... A-Ra No, Soo-Yun Han, and Yun Joo Yoo

71

Connections Between Statistic