Interdisciplinarity for the Twenty-First Century

Interdisciplinarity for the Au: In APA,
Twenty-First Century spell out 21st
(twenty-first) as
Proceedings of the Third International in century at all
Symposium on Mathematics and times.

Its Connections to Arts and Sciences,
Moncton 2009

A volume in
The Montana Mathematics Enthusiast: Monograph Series in

Mathematics Education Monograph Number 11

Series Editor:
Bharath Sriraman, The University of Montana

The Montana Mathematics Enthusiast
Monographs in Mathematics Education

Monograph Number 11

Bharath Sriraman, Series Editor

Beliefs and Mathematics: Festschrift in Honor of
Guenter Toerner’s 60th Birthday (2007)
editd by Bharath Sriraman

International Perspectives on Social Justice in Mathematics Education (2007)
editd by Bharath Sriraman

Creativity, Giftedness, and Talent Development in Mathematics (2008)
editd by Bharath Sriraman

Mathematics Education and the Legacy of Zoltan Paul Dienes (2008)
edited by Bharath Sriraman

Interdisciplinary Educational Research In Mathematics and Its Connections to
The Arts and Sciences (2008)

edited by Bharath Sriraman, Claus Michelsen,
Astrid Beckmann, and Vikto Freiman

Critical Issues in Mathematics Education (2009)
edited by Paul Ernest, Brian Greer, and Bharath Sriraman

Interdisciplinarity, Creativity, and Learning: Mathematics With Literature,
Paradoxes, History, Technology, and Modeling (2009)

edited by Bharath Sriraman, Victor Freiman, and Nicole Lirette-Pitre

Relatively and Philosophically Earnest: Festschrift in Honor of
Paul Ernest’s 65th Birthday (2009)

edited by Bharath Sriraman and Simon Goodchild

The Role of Mathematics Discourse in
Producing Leaders of Discourse (2010)

by Libby Knott

The First Sourcebook on Nordic Research in Mathematics Education: Norway,
Sweden, Iceland, Denmark and Contributions From Finland (2010)

edited by Bharath Sriraman, Christer Bergsten, Simon Goodchild,
Gudbjorg Palsdottir, Bettina Dahl Søndergaard, and Lenni Haapasalo

Interdisciplinarity for the Twenty-First Century: Proceedings of the
Third International Symposium on Mathematics and its Connections to

Arts and Sciences, Moncton, 2009 (2010)
edited by Bharath Sriraman and Viktor Freiman

Interdisciplinarity for the
Twenty-First Century

Proceedings of the Third International
Symposium on Mathematics and Its
Connections to Arts and Sciences,
Moncton, 2009

edited by

Bharath Sriraman
The University of Montana, United States

and
Viktor Freiman

University of Moncton, Canada

Information Age Publishing, Inc.
Charlotte, North Carolina • www.infoagepub.com



Dedication
To

Mirabai

v

Library of Congress Cataloging-in-Publication Data

Copyright © 2010 IAP–Information Age Publishing, Inc.
The Editor’s royalties for this volume support Feed My Starving Children.
Photography by Mary Ann Reilly
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or
transmitted in any form or by any electronic or mechanical means, or by photocopying, micro-
filming, recording, or otherwise without written permission from the publisher.
Printed in the United States of America

CONTENTS

Introduction: Interdisciplinary Networks for Better Education in
Mathematics, Science, and the Arts

Viktor Freiman and Bharath Sriraman . . . . . . . . . . . . . . . . . . . . . . . . . . .000

1. Intercultural Positioning in Mathematics
David Wagner . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

2. History in Mathematics Education—Why Bother?
Interdisciplinarity, Mathematical Competence, and the
Learning of Mathematics
Tinne Hoff Kjeldsen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

3. The Role of the Aesthetic in Mathematical Problem Solving
Nathalie Sinclair and Christian Berneche . . . . . . . . . . . . . . . . . . . . . . . . .000

4. Mathematics in the Everyday World and at Work:
Prolegomena for Rethinking the Concept of
Interdisciplinarity
Wolff-Michael Roth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

5. A Portrait on How Groups of Elementary Age Students in a
French Language Minority Setting Pose an Environmental
Problem
Viktor Freiman, Diane Pruneau, Joanne Langis,

Pierre-Yves Barbier, Marianne Cormier, and Monique Langis . . . . . . . .000

6. Teaching Citizenship Education Through the Mathematics Au: In chapter
titles, all words
Course

Annie Savard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000 of four

characters or

more are

capitalized in

APA style.

vii

viii CONTENTS

7. Flow: An Emotional Experience in Mathematics Problem
Solving
T. Seifert, O. Radu, and A. Doyle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

8. Learner Directed Opportunities Through Adaptive
Hypermedia Systems
Adnen Barhoumi and Chadia Moghrabi . . . . . . . . . . . . . . . . . . . . . . . . . .000

9. Quantitative Reasoning as a Tool for Understanding
Natalya Vinogradova . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

10. Interdisciplinarity Through Processes of Modeling and
Sociomathematical Decision Making
Claus Michelsen and Jan Alexis Nielsen . . . . . . . . . . . . . . . . . . . . . . . . . .000

11. Do Mathematical Laboratories Enhance Primary School
Students' Hands-On Learning Experiences?
Mark Applebaum and Viktor Freiman . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

12. Amazing Math-Science-Arts Connections: Getting Insight
Into the Golden Ratio
Dominic Manuel, Viktor Freiman, Edel Reilly, Ildiko Pelczer,
Natalya Vinogradova, Bharath Sriraman, and Astrid Beckmann . . . . . . .000

13. Mathematics in Contemporary Art
Nathalie Sayac . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

14. Advancing the Concept of Variables Through Cross-
Curricular Stations Between Arts and Mathematics
Instruction
Astrid Beckmann . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

15. Visual Arts and Mathematics: Intertwining for a New
Conversation in Education
Lise Robichaud. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

16. Why is a Negative × a Negative = a Positive? Possible
Benefits of Interdisciplinarity
Polotskaia Elena . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

17. Writing + Math = Opportunity: Forging New
Interdisciplinary Connections
Edel M. Reilly. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

18. Study of the Potential of the Use of Degrees of Certainty to
Provide the Common Sense with an “Alert Bell”
Sophie René de Cotret, Manon LeBlanc, and Réal Larose . . . . . . . . . . . .000

19. Visuo-Dynamic Learning: How Does the Net Generation
Learn?
Zekeriya Karadag . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

Contents ix

20. Online Video Technology as Enabler for Teaching and
Learning Multidisciplinary Topics
Dragana Martinovic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

21. Directional Pitch Spaces
Ilhan M. Izmirli . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

22. A Note on Fibonacci Numbers in Music
Larry G. Blaine . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

23. Robotic-Based Learning: RoboMaTIC
Samuel F. J. Blanchard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

24. NET Generation: Social Media and its Link to
Interdisciplinarity
Samuel F. J. Blanchard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

25. A City Built on Geometry: Project-Based Learning in a
Grade 10 Math Classroom
Marcia Cormier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

26. Plato’s Timaeus and the Intervals Used in Traditional Music
of the Middle Classroom
Amirhossein Damadi and Payam Seraji . . . . . . . . . . . . . . . . . . . . . . . . . . 000

27. Using Origami as Context Builder to Teach (Pre)Math
Skills
Ildikó Pelczer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

28. Are There Mathematical Phenomena?
Herbert Gerstberger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

29. Mathematical Literacy and How Scientific Experiments
Can Promote That Conception
Simon Zell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

30. Cross-Curricular Teaching between Mathematics and
Biology—Nutrition Circle, Similarity, and Allometry
Astrid Beckmann and Annika Grube . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

31. A Call for Integrating Engineering Through Cooperative
Learning in the Mathematics and Science Teacher
Education Program
Ke Wu Norman, Anne L. Kern, and Tamara J. Moore . . . . . . . . . . . . . . . 000

32. Choosing to Study Mathematics and Science Beyond the
Classroom: Who Participates and Why?
Karen Sullenger and Viktor Freiman . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000

x CONTENTS

33. A Brief History and Exploration of Some Didactic Journeys
to Connect the Great Continents of Knowledge
Alan Rogerson . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

34. Some Remarks on the Comparison Between Mathematical
and Poetical Facts/Events
Romualdas Kašuba . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .000

Au: Please About the Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000
provide brief
author bios. Au: The
Keywords
section in the
original Word
TOC is not an
APA
convention, so
it has been
omitted.