International Group for the Psychology of Mathematics Education
July 2004
Table of Contents
Number of papers: 21
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Teacher's Practices and Dynamic Geometry
Elizabeth Belfort & Luiz Carlos Guimaraes
In this paper we analyze instructional materials supported by a Dynamic Geometry software, which were produced by teachers during an in-service training program. We discuss illustrative examples,... More
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Will "The Way They Teach" Be "The Way They Have Learned"? Pre-Service Teachers' Beliefs Concerning Computer Embedding in Math Teaching
D Gorev, Gurevich & M Barabash
Embedding computers in math teaching is not a totally new issue, but the dilemmas related to it multiply more rapidly than the answers are being supplied. This study asks: What is the most... More
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Descriptions and Conflicts in Dynamic Geometry
Victor Giraldo, Elizabeth Belfort & Luiz Mariano Carvalho
We expand the theoretical perspective based on the notions of description and conflict, which was previously used to the learning of functions and calculus, to the learning of deductive geometry... More
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ICT Tools and Students' Competence Development
Anne Berit Fuglestad
In this paper I will present the rationale that motivates the study in an ongoing three-year project following students in school years 8 to 10. The aim is to develop the students' competence with ... More
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Sensitivity for the Complexity of Problem Oriented Mathematics Instruction--A Challenge to Teacher Education
Torsten Fritzlar
Teaching can be understood as acting and deciding in a complex system. On that problem oriented mathematics instruction (POMI) can be characterized as very high complex particularly regarding to... More
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Levels of Student Responses in a Spreadsheet-Based Environment
Michal Tabach & Alex Friedlander
The purpose of this report is to investigate the range of student responses in three domains--hypothesizing, organizing data, and algebraic generalization of patterns during their work on a... More
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Equity and Computers for Mathematics Learning: Access and Attitudes
Helen J. Forgasz
Equity and computer use for secondary mathematics learning was the focus of a three year study. In 2003, a survey was administered to a large sample of grade 7-10 students. Some of the survey items... More
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Towards a Definition of Function
Rossana Falcade, Maria Alessandra Mariotti & Colette Laborde
This paper points up, in the case of a particular class discussion, the crucial role that the Trace tool could play as potential semiotic mediator for the notion of function. In particular, the... More
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Proofs through Exploration in Dynamic Geometry Environments
C Christou, N Mousoulides, M Pittalis & D Pitta-Pantazi
The recent development of powerful new technologies such as dynamic geometry softwares (DGS) with drag capability has made possible the continuous variation of geometric configurations and allows... More
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A New Practice Evolving in Learning Mathematics: Differences in Students' Written Records with CAS
Lynda Ball & Kaye Stacey
Students who learn mathematics with CAS calculators are likely to develop new practices for doing and recording mathematics. Students discussed in this paper were able to use CAS calculators in... More
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Map Construction as a Context for Studying the Notion of Variable Scale
Nikoleta Yiannoutsou & Chronis Kynigos
We report research on meanings of scale generated by pairs of 14 year-old students engaged in joint map-construction. Characteristics of the learning environment, such as the communicational... More
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Constructing Meanings and Utilities within Algebraic Tasks
Janet Ainley, Liz Bills & Kirsty Wilson
The Purposeful Algebraic Activity project aims to explore the potential of spreadsheets in the introduction to algebra and algebraic thinking. We discuss two sub-themes within the project: tracing ... More
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Orchestrating Mathematical Proof through the Use of Digital Tools
Rosamund Sutherland, Federica Olivero & Marnie Weeden
This paper explores the role of the teacher in the orchestration of common knowledge and in the interplay between intuitive/empirical and formal aspects within the context of students learning... More
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Normalising Geometrical Constructions: A Context for the Generation of Meanings for Ratio and Proportion
Georgos Psycharis & Chronis Kynigos
This paper describes aspects of 13 year-olds activity in mathematics as emerged during the implementation of proportional geometric tasks in the classroom. Pupils were working in pairs using a... More
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Designing for Local and Global Meanings of Randomness
Efi Paparistodemou & Richard Noss
This research aims to study the ways in which "local" events of randomness, based on experiencing the outcome of individual events, can be developed into "global" understandings that focus on an... More
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Preservice Teachers Conceptions of Mathematics-Based Software
Terri Kurz, James Middleton & H Bahadir Yanik
Preservice teachers do not feel prepared to teach mathematics using technology (Smith & Shotsberger, 2001). To address this issue, we have developed a tool-based categorization of mathematics... More
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Visual Reasoning in Computational Environment: A Case of Graph Sketching
Allen Leung & King Wah Chan
This paper reports the case of a form six (grade 12) Hong Kong student's exploration of graph sketching in a computational environment. In particular, the student summarized his discovery in the... More
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The Role of Tool and Teacher Mediations in the Construction of Meanings for Reflection
Lulu Healy
This article reports on a study aiming to design learning systems in which students' knowledge of reflection is brought closer to institutional knowledge of this isometry and to compare how their... More
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An Introduction to the Profound Potential of Connected Algebra Activities: Issues of Representation, Engagement and Pedagogy
Stephen J. Hegedus & James J. Kaput
We present two vignettes of classroom episodes that exemplify new activity structures for introducing core algebra ideas such as linear functions, slope as rate and parametric variation within a... More
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Enhancing Mathematical Literacy with the Use of Metacognitive Guidance in Forum Discussion
Bracha Kramarski & Nava Mizrachi
The purpose of the present study was to investigate the effects of forum discussion embedded within metacognitive guidance on mathematical literacy. In particular the study compares two learning... More
