The Elements of Creativity and Giftedness in Mathematics
ADVANCES IN CREATIVITY AND GIFTEDNESS Volume 1 Series Editor: Bharath Sriraman, The University of Montana International Advisory Panel Don Ambrose, Rider University, USA David Chan, The Chinese University of Hong Kong Anna Craft, University of Exeter, UK Stephen Hegedus, University of Massachusetts, Dartmouth Kristina Juter, Kristianstad University College, Sweden James C. Kaufman, California State University at San Bernardino Kyeonghwa Lee, Seoul National University, Korea Roza Leikin, University of Haifa, Israel Peter Liljedahl, Simon Fraser University, Canada Paula Olszewski-Kubilius, Northwestern University, USA Larisa Shavinina, University of Quebec, Canada Editorial Assistant: Claire Payne
The Elements of Creativity and Giftedness in Mathematics Edited by Bharath Sriraman The University of Montana, USA Kyeong Hwa Lee Seoul National University, Korea SENSE PUBLISHERS ROTTERDAM/BOSTON/TAIPEI
A C.I.P. record for this book is available from the Library of Congress. ISBN: 978-94-6091-437-9 (paperback) ISBN: 978-94-6091-438-6 (hardback) ISBN: 978-94-6091-439-3 (e-book) Published by: Sense Publishers, P.O. Box 21858, 3001 AW Rotterdam, The Netherlands http://www.sensepublishers.com Printed on acid-free paper All Rights Reserved 2011 Sense Publishers No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.
TABLE OF CONTENTS 1. What are the Elements of Giftedness and Creativity in Mathematics?: An Overview of the KMS-AMS Symposium and the Book... 1 Bharath Sriraman and Kyeong Hwa Lee 2. An Exploratory Study of Relationships between Students Creativity and Mathematical Problem-Posing Abilities: Comparing Chinese and U.S Students... 5 Xianwei Yuan and Bharath Sriraman 3. Are Mathematically Talented Elementary Students also Talented in Statistics?... 29 Eun-Sung Ko and Kyeong Hwa Lee 4. Does High Achieving in Mathematics = Gifted and/or Creative in Mathematics?... 45 Kristina Juter and Bharath Sriraman 5. Developing Mathematical Potential in Underrepresented Populations through Problem Solving, Mathematical Discourse and Algebraic Reasoning... 67 Jennifer N. Suh and Kerri Fulginiti 6. On Track to Gifted Education in Mathematics in Sweden... 81 Linda Mattson and Samuel Bengmark 7. Teachers Images of Gifted Students and the roles assigned to them in Heterogeneous Mathematics Classes... 103 Roza Leikin and Ora Stanger 8. Mathematical Creativity and Mathematics Education: A Derivative of Existing Research... 119 Bharath Sriraman, Narges Yaftian and Kyeong Hwa Lee 9. Gifted Education in Russia and the United States: Personal Notes... 131 Alexander Karp 10. Semiotic Micro-world for Mathematical Visualization... 145 Han Hyuk Cho, Min Ho Song and Ji Yoon Lee 11. Mathematically Gifted Students in Inclusive Settings: The Example of New Brunswick, Canada... 161 Viktor Freiman v
TABLE OF CONTENTS 12. Prospective Secondary Mathematics Teachers Mathematical Creativity in Problem Solving: A Turkish Study... 173 Yasemin Kyymaz, Bharath Sriraman and Kyeong Hwa Lee 13. What Characterises High Achieving Students Mathematical Reasoning?... 193 Haavold Per Øystein 14. Fostering Creativity through Geometrical and Cultural Inquiry into Ornaments... 217 Khayriah Massarwe, Igor Verner and Daoud Bshouty vi
AIMS AND SCOPE Advances in Creativity and Giftedness is the first internationally established book series that focuses exclusively on the constructs of creativity and giftedness as pertaining to the psychology, philosophy, pedagogy and ecology of talent development across the milieus of family, school, institutions, organizations and society. ACG strives to synthesize both domain specific and domain general efforts at developing creativity, giftedness and talent. The books in the series are international in scope and include the efforts of researchers, clinicians and practitioners across the globe. vii