Teaching Mathematics Online: Emergent Technologies and Methodologies Teaching mathematics online: emergent technologies and methodologies / Angel A. Juan ... [et al.], editors.

Teaching Mathematics Online: Emergent Technologies and Methodologies Teaching mathematics online: emergent technologies and methodologies / Angel A. Juan ... [et al.], editors. p. cm. Summary: “This book shares theoretical and applied pedagogical models and systems used in math e-learning including the use of computer supported collaborative learning, which is common to most e-learning practices”-- Provided by publisher. Includes bibliographical references and index. ISBN 978-1-60960-875-0 (hardcover) -- ISBN 978-1-60960-876-7 (ebook) -- ISBN 978-1-60960-877-4 (print & perpetual access) 1. Computer-assisted instruction. 2. Web-based instruction. 3. Mathematics--Study and teaching-- Technological innovations. I. Juan, Angel A., 1972- QA20.C65T434 2011 510.78’54678--dc22 0 British Cataloguing in Publication Data A Cataloguing in Publication record for this book is available from the British Library. All work contributed to this book is new, previously-unpublished material. The views expressed in this book are those of the authors, but not necessarily of the publisher. Senior Editorial Director: Kristin Klinger Director of Book Publications: Julia Mosemann Editorial Director: Lindsay Johnston Acquisitions Editor: Erika Carter Development Editor: Michael Killian Production Editor: Sean Woznicki Typesetters: Christen Croley, Adrienne Freeland Print Coordinator: Jamie Snavely Cover Design: Nick Newcomer Published in the United States of America by Information Science Reference (an imprint of IGI Global) 701 E. Chocolate Avenue Hershey PA 17033 Tel: Fax: E-mail: Web site: Copyright © 2012 by IGI Global. All rights reserved. No part of this publication may be reproduced, stored or distributed in any form or by any means, electronic or mechanical, including photocopying, without written permission from the publisher. Product or company names used in this set are for identification purposes only. Inclusion of the names of the products or companies does not indicate a claim of ownership by IGI Global of the trademark or registered trademark. Library of Congress Cataloging-in-Publication Data Editorial Advisory Board Elena Barbera, eLearn Center, Open University of Catalonia, Spain Antonio F. Costa, Universidad Nacional de Educación a Distancia, Spain Thanasis Daradoumis, University of the Aegean, Greece Kellie S. Grasman, Missouri University of Science & Technology, USA Susan L. Kutryb, Hudson Valley Community College, USA Fernando Pestana da Costa, Universidade Aberta, Portugal Francesca Pozzi, Istituto Tecnologie Didattiche CNR, Italy Teresa Sancho, Open University of Catalonia, Spain List of Reviewers Buma Abramovitz, Ort Braude College, Israel Giovanna Albano, Universita degli Studi di Salerno, Italy Juan G. Alcazar, Universidad de Alcala, Spain Matthew Badger, University of Birmingham, UK Elena Barbera, eLearn Center - Open University of Catalonia, Spain Barry Cherkas, Hunter College - CUNY, USA Antonio F. Costa, Universidad Nacional de Educación a Distancia, Spain Hans Cuypers, Eindhoven University of Technology, The Netherlands Thanasis Daradoumis, University of the Aegean, Greece Blazenka Divjak, University of Zagreb, Croatia Kellie S. Grasman, Missouri University of Science & Technology, USA Boris Horvat, University of Ljubljana, Slovenia Jiri Hrebicek, Masaryk University, Czech Republic Maria Antonia Huertas, Open University of Catalonia, Spain Daniel H. Jarvis, Nipissing University, Canada Angel A. Juan, Open University of Catalonia, Spain Manuel Juarez-Pacheco, CENIDET, México Susan L. Kutryb, Hudson Valley Community College, USA Agata Lapedriza, Open University of Catalonia, Spain Birgit Loch, Swinburne University of Technology, Australia Rafael Lopez, Universidad de Granada, Spain Ciarán Mac an Bhaird, National University of Ireland Maynooth, Ireland Maria Meletiou-Mavrotheris, European University of Cyprus, Cyprus Travis Miller, Millersville University, USA Morten Misfeldt, The Danish School of Education, Denmark Diana S. Perdue, Pride Rock Consulting, USA Fernando Pestana da Costa, Universidade Aberta, Portugal Francesca Pozzi, Istituto Tecnologie Didattiche - CNR, Italy Jordi Saludes, Universitat Politecnica de Catalunya, Spain Teresa Sancho, Open University of Catalonia, Spain Fernando San Segundo, Universidad de Alcala, Spain Jason Silverman, Drexel University School of Education, USA Cristina Steegmann, Open University of Catalonia, Spain Dirk Tempelaar, Maastricht University School of Business and Economics, The Netherlands Sven Trenholm, Loughborough University, UK Alexander Vaninsky, Hostos Community College - CUNY, USA Joe Ward, Loughborough University, UK Table of Contents Foreword.............................................................................................................................................viii Preface.................................................................................................................................................... x Acknowledgment................................................................................................................................ xiv Section 1 Blended Experiences in Mathematics E-Learning Chapter 1 A Model for Asynchronous Discussions in a Mathematics Content Course .......................................... 1 Travis K. Miller, Millersville University, USA Chapter 2 A Blended Learning Approach in Mathematics.................................................................................... 22 B. Abramovitz, ORT Braude College, Israel M. Berezina, ORT Braude College, Israel A. Berman, Technion Israel Institute of Technology, Israel L. Shvartsman, ORT Braude College, Israel Chapter 3 Screencasting for Mathematics Online Learning: A Case Study of a First Year Operations Research Course at a Dual Delivery Mode Australian University ....................................................................... 43 Birgit Loch, Swinburne University of Technology, Australia Chapter 4 Mathematics Education: Teaching and Learning Opportunities in Blended Learning......................... 60 Giovannina Albano, Università di Salerno, Italy Chapter 5 Best Practices for Hybrid Mathematics Courses .................................................................................. 90 Diana S. Perdue, Intare Educational Resources, USA Chapter 6 Implementation of Learning Outcomes in Mathematics for Non-Mathematics Major by Using E-Learning .......................................................................................................................................... 119 B. Divjak, University of Zagreb, Croatia Section 2 Pure Online Experiences in Mathematics E-Learning Chapter 7 Online Communities of Practice as Vehicles for Teacher Professional Development........................ 142 Maria Meletiou-Mavrotheris, European University, Cyprus Chapter 8 Mathematics Bridging Education Using an Online, Adaptive E-Tutorial:Preparing International Students for Higher Education............................................................................................................ 167 Dirk T. Tempelaar, Maastricht University School of Business & Economics, the Netherlands Bart Rienties, University of Surrey, UK Wolter Kaper, Universiteit van Amsterdam, the Netherlands Bas Giesbers, Maastricht University School of Business & Economics, the Netherlands Sybrand Schim van der Loeff, Maastricht University School of Business & Economics, the Netherlands Leendert van Gastel, Universiteit van Amsterdam, the Netherlands Evert van de Vrie, Open Universiteit Nederland, the Netherlands Henk van der Kooij, Universiteit Utrecht, the Netherlands Hans Cuypers, Technische Universiteit Eindhoven, the Netherlands Chapter 9 Teaching Mathematics Teachers Online: Strategies for Navigating the Intersection of Andragogy, Technology, and Reform-based Mathematics Education.................................................................... 187 D. H. Jarvis, Nipissing University, Canada Chapter 10 Developing Teachers’ Mathematical Knowledge for Teaching through Online Collaboration.......... 200 Jason Silverman, Drexel University, USA Ellen L. Clay, Drexel University, USA Chapter 11 Self-Regulated Learning and Self Assessment in Online Mathematics Bridging Courses ................ 216 R. Biehler, University of Paderborn, Germany P. R. Fischer, University of Kassel, Germany R. Hochmuth, University of Kassel, Germany Th. Wassong, University of Paderborn, Germany Chapter 12 Long-Term Experiences in Mathematics E-Learning in Europe and the USA................................... 238 Sven Trenholm, Loughborough University, UK Angel A. Juan, Open University of Catalonia, Spain Jorge Simosa, Massachusetts Institute of Technology, USA Amilcar Oliveira, Universidade Aberta, Portugal Teresa Oliveira, Universidade Aberta, Portugal Section 3 Mathematics Software & Web Resources for Mathematics E-Learning Chapter 13 My Equations are the Same as Yours! Computer Aided Assessment Using a Gröbner Basis Approach............................................................................................................................................. 259 M. Badger, University of Birmingham, UK C. J. Sangwin, University of Birmingham, UK Chapter 14 Interactive Web-Based Tools for Learning Mathematics: Best Practices........................................... 274 Barry Cherkas, Hunter College of the City University of New York, USA Rachael M. Welder, Hunter College of the City University of New York, USA Chapter 15 NAUK.si: Using Learning Blocks to Prepare E-Content for Teaching Mathematics ........................ 307 M. Lokar, University of Ljubljana, Slovenia P. Lukšič, University of Ljubljana, Slovenia B. Horvat, University of Ljubljana, Slovenia Chapter 16 Software Tools Used in Math Refresher Courses at the University of Alcala, Spain......................... 327 J. G. Alcázar, University of Alcalá, Spain M. Marvá, University of Alcalá, Spain D. Orden, University of Alcalá, Spain F. San Segundo, University of Alcalá, Spain Chapter 17 Formula Editors and Handwriting in Mathematical E-Learning ........................................................ 350 Morten Misfeldt, Aarhus University, Denmark Anders Sanne, Norwegian University of Science and Technology (NTNU), Norway Chapter 18 The Role of Technology in Mathematics Support: A Pilot Study....................................................... 367 Ciarán Mac an Bhaird, National University of Ireland Maynooth, Ireland Ann O’Shea, National University of Ireland Maynooth, Ireland About the Contributors.................................................................................................................... 384 Index................................................................................................................................................... 394