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International Group for the Psychology of Mathematics Education

July 2005

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Table of Contents

Number of papers: 15

  1. Students' Use of ICT Tools--Choices and Reasons

    Anne Berit Fuglestad

    In a development and research project over a period of three years, with classes 8 to 10 in school, the aim was to develop students' competence to use computer tools. The aim was that the students ... More

    pp. 1-8

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  2. Interaction of Modalities in Cabri: A Case Study

    Fulvia Furinghetti, Francesca Morselli & Domingo Paola

    In this paper we consider an experiment in which 15 years old students explore a phenomenon of covariance, by using Cabri for drawing geometric figures, measuring, and sketching graphs. In this way... More

    pp. 9-16

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  3. The Effect of a SimCalc Connected Classroom on Students' Algebraic Thinking

    Stephen J. Hegedus & Jim Kaput

    We report the findings of an empirical analysis of the performance of a group of middle and high school students before and after an after-school algebra enrichment program using the SimCalc... More

    pp. 47-54

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  4. Investigating the Problem Solving Competency of Pre Service Teachers in Dynamic Geometry Environment

    Shajahan Haja

    This study investigated the problem-solving competency of four secondary pre service teachers (PSTs) of University of London as they explored geometry problems in dynamic geometry environment (DGE)... More

    pp. 81-87

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  5. Mental Functioning of Instruments in the Learning of Geometrical Transformations

    Veronica Hoyos

    A case study is presented on what is learned by a very advanced Math student in a ninth grade class (fifteen years old, approximately). This case was obtained from an exploratory study carried out ... More

    pp. 95-102

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  6. The Spontaneous Emergence of Elementary Number-Theoretic Concepts and Techniques in Interaction with Computing Technology

    Carolyn Kieran & Jose Guzman

    We present in this paper five case studies of instrumental genesis of number-theoretic concepts and techniques involving multiples, divisors, and numerical decomposition. The pupils, who were 12 to... More

    pp. 141-148

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  7. 13 Year-Olds' Meanings around Intrinsic Curves with a Medium for Symbolic Expression and Dynamic Manipulation

    Chronis Kynigos & Georgos Psycharis

    We explore how 13 year-olds construct meanings around the notion of curvature in their classroom while working with software that combines symbolic notation to construct geometrical figures with... More

    pp. 165-172

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  8. Pre-Service Teachers' Transition from "Knowing That" to " Knowing Why" VIA Computerized Project-Based-Learning

    Ilana Lavy & Atara Shriki

    The aim of the study was to examine the effects of implementing computerized project based- learning (CPBL) approach into a didactical course for third year pre-service mathematics teachers. In... More

    pp. 181-188

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  9. Computer Algebra Systems (CAS) as a Tool for Coaxing the Emergence of Reasoning about Equivalence of Algebraic Expressions

    Carolyn Kieran & Luis Saldanha

    Equivalence of algebraic expressions is at the heart of transformational work in algebra. However, we know very little about students' understanding of equivalence. This study is part of a larger... More

    pp. 193-200

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  10. Dynamic Geometry and The Theory of Variation

    Allen Leung

    In this paper, the theory of variation in the tradition of phenomenographic research approach is placed in the context of Dynamic Geometry Environment (DGE). Central concepts of discernment,... More

    pp. 197-204

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  11. Function and Graph in DGS Environment

    Maria Alessandra Mariotti, Colette Laborde & Rossana Falcade

    Assuming that dynamic features of Dynamic Geometry Software may provide a basic representation of both variation and functional dependency, and taking Vygotskian perspective of semiotic mediation, ... More

    pp. 237-244

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  12. Supporting Teacher Change: A Case from Statistics

    Kay McClain

    This paper provides an analysis of a teacher development experiment (cf. Simon, 2000) designed to support teachers' understandings of statistical data analysis. The experiment was conducted as part... More

    pp. 253-260

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  13. Mathematicians' Writing

    Morten Misfeldt

    Computer systems that support collaboration among students are not easily adopted in mathematics education. A possible reason for this is that the computer is rarely the students' preferred writing... More

    pp. 301-308

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  14. Nathan's Strategies for Simplifying and Adding Fractions in Third Grade

    John Olive

    Nathan entered third grade having already constructed a Generalized Number Sequence (GNS) for whole numbers that enabled him to coordinate sequences of multiples to find a common multiple of two... More

    pp. 421-428

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  15. Cabri as a "Shared Workspace" within the Proving Process

    Federica Olivero

    This paper will discuss some findings from a study investigating the development of the proving process in a dynamic geometry environment. Through a detailed analysis of students' processes when... More

    pp. 429-436

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