Proceedings of the Annual Meeting of the International Group for the Psychology of Mathematics Education (PME) (28th, Bergen, Norway, July 14-18, 2004). Volume 2

This document contains the second volume of the proceedings of the 28th annual conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Inclusion and Diversity". This volume features 65 research report papers: (1) Constructing Meanings and Utilities within Algebraic Tasks (Janet Ainley, Liz Bills, and Kirsty Wilson); (2) Proportional Reasoning of Quasi-Illiterate Adults (Silvia Alatorre and Olimpia Figueras); (3) Uses of Example Objects in Proving (Lara Alcock); (4) Improving Student Teachers' Attitudes to Mathematics (Solange Amorim Amato); (5) Time and Flow as Parameters in International Comparisons: A View from an Eighth Grade Algebra Lesson (Miriam Amit and Michael N. Fried); (6) Disciplined Calculators or Flexible Problem Solvers? (Julia Anghileri); (7) A Statement, the Contrapositive and the Inverse: Intuition and Argumentation (Samuele Antonini); (8) Solution--What Does It Mean? Helping Linear Algebra Students Develop the Concept While Improving Research Tools (Ilana Arnon and David DeVries); (9) Organizing with a Focus on Defining a Phenomenographic Approach (Amir H. Asghari); (10) Mediation and Interpretation: Exploring the Interpersonal and the Intrapersonal in Primary Mathematics Lessons (Mike Askew); (11) Being Sensitive to Students' Mathematical Needs: What Does It Take? (Cettina Axiak); (12) A New Practice Evolving in Learning Mathematics: Differences in Students' Written Records with CAS (Lynda Ball and Kaye Stacey); (13) Empowering Andrea to Help Year 5 Students Construct Fraction Understanding (Annette R. Baturo); (14) Understanding Inverse Functions: The Relationship between Teaching Practice and Student Learning (Ibrahim Bayazit and Eddie Gray); (15) The Impact of Teachers' Perceptions of Student Characteristics on the Enactment of Their Beliefs (Kim Beswick); (16) Towards the Emergence of Constructing Mathematical Meanings (Angelika Bikner-Ahsbahs); (17) Identity, Knowledge and Departmental Practices: Mathematics of Engineers and Mathematicians (Erhan Bingolbali and John Monaghan); (18) Elementary Grades Students' Capacity for Functional Thinking (Maria L. Blanton and James J. Kaput); (19) For the Sake of the Children: Maintaining the Momentum of Professional Development (Janette Bobis); (20) From Formal to Semi-Informal Algorithms: The Passage of a Classroom into a New Mathematical Reality (Ada Boufi and Frosso Skaftourou); (21) A Measure of Rulers--The Importance of Units in a Measure (Philippa Bragg and Lynne Outhred); (22) In the Serpent's Den: Contrasting Scripts Relating to Fear of Mathematics (Chris Breen); (23) Formal Inclusion and Real Diversity in an Engineering Program of a New Public University (Tania Cristina Baptista Cabral and Roberto Ribeiro Baldino); (24) Primary Students' Understanding of Tessellation: An Initial Exploration (Rosemary Callingham); (25) Facilitating Peer Interactions in Learning Mathematics: Teachers' Practical Knowledge (Olive Chapman); (26) Towards a Unified Model on Teachers' Concerns and Efficacy Beliefs Related to a Mathematics Reform (Charalambos Charambous, George Philippou, and Leonidas Kyriakides); (27) What Is Unusual? The Case of a Media Graph (Helen L. Chick and Jane M. Watson); (28) Proofs through Exploration in Dynamic Geometry Environments (C. Christou, N. Mousoulides, M. Pittalis, and D. Pitta-Pantazi); (29) Establishing a Professional Learning Community among Middle School Mathematics Teachers (Karen Koellner Clark and Hilda Borko); (30) Patterns of Participation in the Mathematics Classroom (David Clarke); (31) Young "White" Teachers' Perceptions of Mathematics Learning of Aboriginal and Non-Aboriginal Students in Remote Communities (Tom J. Cooper, Annette R. Baturo, Elizabeth Warren, and Shani M. Doig); (32) Two Important Invariant Tasks in Solving Equations: Analyzing the Equation and Checking the Validity of Transformations (Anibal Cortes and Nelly Kavafian); (33) Certainty during the Early Stages of Problem Solving (Maria de Hoyos, Eddie Gray, and Adrian Simpson); (34) Studying the Mathematical Concept of Implication through a Problem on Written Proofs (Virginie Deloustal-Jorrand); (35) From Single Beliefs to Belief Systems: A New Observational Tool (Pietro Di Martino); (36) Assessment as a Strategic Tool for Enhancing Learning in Teacher Education: A Case Study (Brian Doig and Susie Groves); (37) Patterns of Reasoning in Classroom (Paola Domingo, Marco Cartiglia, Fulvia Furinghetti); (38) Generalized Diagrams as a Tool for Young Children's Problem Solving (Barbara J. Dougherty and Hannah Slovin); (39) Correspondences, Functions and Assignation Rules (M. Downs and J. Mamona-Downs); (40) Unjustified Assumptions Based on Diagrams in Geometry (Tali Dvora and Tommy Dreyfus); (41) The Impact of Individual Curricula on Teaching Stochastics (Andreas Eichler); (42) The Functions of Pictures in Problem Solving (Iliada Elia and George Philippou); (43) Mathematical Modelling with Young Children (Lyn D. English and James J. Watters); (44) Extending Linear Models to Non-Linear Contexts: An In-Depth Study about Two University Students' Mathematical Productions (Cristina Esteleyi, Monica Villarreal, and Humberto Alagia); (45) University Students' Conceptions of Function (Anastasia Evangelidou, Panayiotis Spyrou, Iliada Elia, and Athanasios Gagatsis); (46) Practical Constraints upon Teacher Development in Pakistani Schools (Razia Fakir-Mohammad); (47) Towards a Definition of Function (Rossana Falcade, Maria Alessandra Mariotti, and Colette Laborde); (48) "Why Doesn't It Start From the Origin?": Hearing the Cognitive Voice of Signs (Francesca Ferrara); (49) Mathematical Language and Advanced Mathematics Learning (Pier Luigi Ferrari); (50) Arithmetic/Algebraic Problem-Solving and the Representation of Two Unknown Quantities (Eugenio Filloy, Teresa Rojano, and Armando Solares); (51) Equity and Computers for Mathematics Learning: Access and Attitudes (Helen J. Forgasz); (52) The Tacit-Explicit Dynamic in Learning Processes (Cristina Frade); (53) Tracking Primary Students' Understanding of the Equality Sign (Viktor Freiman and Lesley Lee); (54) Levels of Student Responses in a Spreadsheet-Based Environment (Alex Friedlander and Michal Tabach); (55) Sensitivity for the Complexity of Problem Oriented Mathematics Instruction--A Challenge to Teacher Education (Torsten Fritzlar); (56) ICT Tools and Students' Competence Development (Anne Berit Fuglestad); (57) The Effects of Different Modes of Representation on Mathematical Problem Solving (Athanasios Gagatsis and Iliada Elia); (58) Descriptions and Conflicts in Dynamic Geometry (Victor Giraldo, Elizabeth Belfort, and Luiz Mariano Carvalho); (59) Students Problem Solving and Justification (Barbara Glass and Carolyn A. Maher); (60) Didactical Knowledge Development of Pre-Service Secondary Mathematics Teachers (Pedro Gomez and Luis Rico); (61) Legitimization of the Graphic Register in Problem Solving at the Undergraduate Level: The Case of the Improper Integral (Alejandro S. Gonzalez-Martin and Matias Camacho); (62) Will "The Way They Teach" Be "The Way They Have Learned"? Pre-Service Teachers' Beliefs Concerning Computer Embedding in Math Teaching (D. Gorev, I. Gurevich, and M. Barabash); (63) Progressive Discourse in Mathematics Classes--The Task of the Teacher (Susie Groves and Brian Doig); (64) Teachers' Practices and Dynamic Geometry (Luiz Carlos Guimaraes and Elizabeth Belfort); and (65) Characterization of Students' Reasoning and Proof Abilities in 3-Dimensional Geometry (Angel Gutierrez, John Pegg, and Christine Lawrie). (Individual papers contain references.)