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International Group for the Psychology of Mathematics Education

July 2005

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Table of Contents

Number of papers: 11

  1. 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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  2. 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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  3. 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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  4. 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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  5. 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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  6. 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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  7. 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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  8. 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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  9. 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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  10. 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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  11. 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

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