International Group for the Psychology of Mathematics Education
July 2005
Table of Contents
Number of papers: 11
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Recognising Equivalent Algebraic Expressions: An Important Component of Algebraic Expectation for Working with CAS
Lynda Ball, Robyn Pierce & Kaye Stacey
The ability to recognize equivalent algebraic expressions quickly and confidently is important for doing mathematics in an intelligent partnership with computer algebra. It is also a key aspect of ... More
pp. 15-22
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Interactive Whiteboards and the Construction of Definitions for the Kite
Dave Pratt & Ian Davison
This paper reports early work from a project examining the affordances offered by Interactive Whiteboards (IWBs). Here the focus is on the teaching of the definition of quadrilaterals through the... More
pp. 31-38
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Five Key Considerations for Networking in a Handheld-Based Mathematics Classroom
Jeremy Roschelle, Phil Vahey, Deborah Tatar, Jim Kaput & Stephen Hegedus
Handheld devices, most familiar to educators today in the form of graphing calculators, are rapidly improving their interface, computational, and communication capabilities. Communication... More
pp. 71-78
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Influential Aspects of Dynamic Geometry Activities in the Construction of Proofs
Ernesto Sanchez & Ana Isabel Sacristan
We present results from a study which investigated the influence of dynamic geometry-based activities in the development of proving skills (in geometry) in high-school students (15-16 years of age)... More
pp. 111-118
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Students' Use of Technology in Mathematical Problem Solving: Transforming Technological Artifacts into Mathematical Tools
Manuel Santos, Evelyn Aguero, Alexander Borbon & Cristhian Paez
Can textbook exercises be transformed into problem solving activities that encourage students to develop mathematical thinking? This study documents what high school students showed when they were ... More
pp. 119-126
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Solving Additive Problems at Pre-Elementary School Level with the Support of Graphical Representation
Ana Coelho Vieira Selva, Jorge Tarcisio da Rocha Falcao & Terezinha Nunes
This research offers empirical evidence of the importance of supplying diverse symbolic representations in order to support concept development in mathematics. Graphical representation can be a... More
pp. 161-168
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The Provision of Accurate Images with Dynamic Geometry
Margaret P. Sinclair
Results of a study involving pre-constructed, web-based, dynamic geometry sketches in activities at the secondary school level revealed that the provision of accurate images is an issue. Many... More
pp. 191-198
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Aesthetic Values in Mathematics: A Value-Oriented Epistemology
Nathalie Sinclair
Much has been said on matter of aesthetics and mathematics--perhaps most commonly articulated in relation to properties such as "beauty" and "elegance," which are used to distinguish good from not-... More
pp. 199-205
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Effective Teaching with Virtual Materials: Years Six and Seven Case Studies
Annette R. Baturo, Tom J. Cooper & Kylie Thompson
This paper describes an approach to mathematics teaching and learning using teacher-constructed "virtual" materials. In this approach, virtual copies of real materials are manipulated with mouse... More
pp. 299-306
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Spreadsheets, Pedagogic Strategies and the Evolution of Meaning for Variable
Kirsty Wilson, Janet Ainley & Liz Bills
We report on one aspect of a longitudinal study which seeks insight into the ways in which spreadsheet experience and teachers' pedagogic strategies shape pupils' construction of meaning for... More
pp. 321-328
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Computers in the Primary Classroom: Barriers to Effective Use
Michael O. J. Thomas & Carolyn Vela
The computer has been in the world's mathematics classrooms for some period of time now, but with varying degrees of implementation in the promotion of student learning. In this paper we describe... More
pp. 347-354