E-Book Content
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International Group for the Psychology of Mathematics Education
PROCEEDINGS
of the 33rd Conference of the International Group for the Psychology of Mathematics Education In Search for Theories in Mathematics Education EDITORS Marianna Tzekaki Maria Kaldrimidou Haralambos Sakonidis
Volume 2
Research Reports [Abd - Eic]
PME 33, Thessaloniki - Greece July 19-24, 2009 PME 33 - 2009
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Cite as: Tzekaki, M., Kaldrimidou, M. & Sakonidis, H. (Eds.). (2009). Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education, Vol. 2. Thessaloniki, Greece: PME. ISBN: 978-960-243-652-3 Website: http://www.pme33.eu
The proceedings are also available on CD-ROM Copyright © 2009 left to authors All rights reserved ISSN 0771-100X Volume 2 ISBN: 978-960-243-654-7
Cover design & Overall Printing Layout: Dimitris Milosis Logo: Giorgos Papadopoulos, Adaction S.A. Production: MOUGOS - Communication in Print
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TABLE OF CONTENTS Research Reports
VOLUME 2
Mohammed Abdul Hussain, John Monaghan, John Threlfall Extending valsiner’s complex system: an emergent analytic tool for understanding students’ mathematics learning in practice
2-1
Thekla Afantiti Lamprianou, Iasonas Lamprianou Teacher effects on the probabilistic thinking of pupils in England
2-9
Einav Aizikovitsh, Miriam Amit Promoting critical thinking abilities via probability instruction
2-17
Silvia Alatorre, Mariana Saiz Triangles’ prototypes and teachers’ conceptions
2-25
Lara Alcock, Adrian Simpson The role of definitions in example classification
2-33
Solange Amorim Amato Improving elementary student teachers’ knowledge of multiplication of rational numbers
2-41
Chiara Andrà, Ferdinando Arzarello, Francesca Ferrara, Kenneth Holmqvist, Paulina Lindström, Ornella Robutti, Cristina Sabena How students read mathematical representations: an eye tracking study
2-49
Ferdinando Arzarello, Michael O. J. Thomas, Michael C. Corballis, Jeff P Hamm, Sarina Iwabuchi, Vanessa K. Lim, Nicola Phillips, Anna J. Wilson Didactical consequences of semantically meaningful mathematical gestures
2-57
Chryso Athanasiou, George N. Philippou Students’ views of their motivation in mathematics across the transition from primary to secondary school
2-65
Antri Avraamidou, John Monaghan Abstraction through game play
2-73
Michal Ayalon, Ruhama Even Are they equivalent?
2-81
Anna Baccaglini-Frank, Maria Alessandra Mariotti, Samuele Antonini Different perceptions of invariants and generality of proof in dynamic geometry
2-89
Sarah Bansilal, Angela James, Magiembal Naidoo Learners voices on assessment feedback
2-97
Cristina Bardelle Linking properties of differentiable functions to graphs: an exploratory study
2-105
Ruthi Barkai, Michal Tabach, Dina Tirosh, Pessia Tsamir, Tommy Dreyfus Highschool teachers’ knowledge about elementary number theory proofs constructed by students
2-113
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Maria G. Bartolini Bussi In search for theories: polyphony, polysemy and semiotic mediation in the mathematics classroom
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Ibrahim Bayazit, Behiye Ubuz, Yilmaz Aksoy Mathematical tasks as a tool to promote