**ERIC Number:**ED500859

**Record Type:**Non-Journal

**Publication Date:**2003-Jul

**Pages:**462

**Abstractor:**ERIC

**Reference Count:**N/A

**ISBN:**N/A

**ISSN:**ISSN-0771-100X

Proceedings of the 27th International Group for the Psychology of Mathematics Education Conference Held Jointly with the 25th PME-NA Conference (Honolulu, Hawaii, July 13-18, 2003). Volume 2

Pateman, Neil A., Ed.; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed.

International Group for the Psychology of Mathematics Education

This volume of the 27th International Group for the Psychology of Mathematics Education Conference presents the following research reports: (1) Text Talk, Body Talk, Table Talk: A Design of Ratio and Proportion as Classroom Parallel Events (Dor Abrahamson); (2) Generalizing the Context and Generalising the Calculation (Janet Ainley); (3) Interview Design for Ratio Comparison Tasks (Silvia Alatorre and Olimpia Figueras); (4) Modeling Outcomes from Probability Tasks: Sixth Graders Reasoning Together (Alice Alston and Carolyn A. Maher); (5) A Web-Based Survey to Assess Prospective Elementary School Teachers' Beliefs about Mathematics and Mathematics Learning: An Alternative to Likert Scales (Rebecca C., Ambrose, Randolph Philipp, Jennifer Chauvot, and Lisa Clement); (6) "Sensing": Supporting Student Understanding of Decimal Knowledge (Glenda Anthony); (7) Non-Examples and Proof By Contradiction (Samuele Antonini); (8) Thematization of the Calculus Graphing (Bernadette Baker, Maria Trigueros, and Laurel Cooley); (9) Attention to Mathematical Structure during Participation in a Mathematics Classroom Task By Learners of English as an Additional Language (EAL) (Richard Barwell); (10) Levels of Sophistication in Elementary Students' Reasoning about Length (Michael T. Battista); (11) Australian Indigenous Students' Knowledge of Two-Digit Numeration: Adding One Ten (Annette Baturo); (12) Using Instructional Representations of Ratio as an Assessment Tool ff Subject Matter Knowledge (Sarah B. Berenson and Rod Nason); (13) A Social Extension of a Psychological Interest Theory (Angelika Bikner-Ahsbahs); (14) Particular and General in Early Symbolic Manipulation (Liz Bills, Janet Ainley and Kirsty Wilson); (15) The Nature of Scaffolding in Undergraduate Students' Transition to Mathematical Proof (Maria Blanton, Despina A. Stylianou, and Manuela David); (16) Children's Conceptions of Infinity of Numbers in a Fifth Grade Classroom Discussion Context (Paolo Boero, Nadia Douek, and Rossella Garuti); (17) Investigating the Mathematics Incorporated in the Real World as a Starting Point for Mathematics Classroom Activities (Cinzia Bonotto); (18) Fourth Graders Solving Equations (Barbara M. Brizuela and Analucia Schliemann); (19) An Examination of How People with Diverse Background Talk about Mathematics Teaching and Learning Both Face-To-Face and On-Line (Catherine A. Brown, and Yusuf Koc); (20) Mathematical Identity in Initial Teacher Training (Tony Brown); (21) Using Research to Inform Practice: Children Make Sense of Division of Fractions (Sylvia Bulgar); (22) Developing and Connecting Calculus Students' Notions of Rate-of-Change and Accumulation: The Fundamental Theorem of Calculus (Marilyn Carson, Nanci Smith, and Joni Persson); (23) Guess My Rule Revisited (David W. Carraher and Darrell S. Earnest); (24) Building Theories: Working In A Microworld and Writing the Mathematical Notebook (Michele Cerulli and Maria Alessandra Mariotti); (25) Teacher Investigations of Students' Work: Meeting the Challenge of Attending to Students' Thinking (Michelle T. Chamberlin); (26) Teachers' Conceptions of Mathematical Word Problems: A Basis for Professional Development (Olive Chapman); (27) Testing A Comprehensive Model for Measuring Problem Solving and Problem Posing Skills of Primary Pupils (Charalambos Charalambous, Leonidas Kyriakides, and George Philippou); (28) Mathematical Proof as Formal Procept in Advanced Mathematical Thinking (Erh-Tsung Chin); (29) A Methodological Approach for Developing Rubrics for Research Purposes (Lisa Clement, Jennifer Chauvot, Randolph Philipp, and Rebecca Ambrose); (30) Curved Solids Nets (Nitsa Cohen); (31) Preservice Elementary Teachers' Solution Processes to Problematic Addition and Subtraction Word Problems Involving Ordinal Numbers and Their Interpretations of Solutions (Jose N. Contreras and Armando M. Martinez-Cruz); (32) Open-Ended Realistic Division Problems, Generalisation and Early Algebra (Tom J. Cooper and Elizabeth Warren); (33) A Cognitive Model of Experts' Algebraic Solving Methods (Anibal Cortes); (34) Learning to Investigate Students' Mathematical Thinking: The Role of Student Interviews (Sandra Crespo and Cynthia Nicol); (35) Affective Aspects on Mathematics Conceptualization: From Dichotomies to an Integrated Approach (Falcao Da Rocha, Jorge Tarcisio, Claudia Roberta De Araujo, Fernanda Andrade, Izabel Hazin, Jorge Costa Do Nascimento, and Monica Maria Lins Lessa); (36) What Can We Learn about Cognitive Learning Processes by Asking the Pupils? (Bettina Dahl); (37) Knowledge Sharing Systems: Advantages of Public Anonymity and Private Accountability (Sarah M. Davis); (38) Secondary School Students' Improper Proportional Reasoning: The Role of Direct Versus Indirect Measures (Dirk De Bock, Wim Van Dooren, Elke De Bolle, Dirk Janssens, and Lieven Verschaffel); (39) Thinking in Ordinary Lessons: What Happened When Nine Teachers Believed Their Failing Students Could Think Mathematically (Els De Geest, Anne Watson, and Steph Prestage); (40) Towards a Redefinition of the Mathematics Culture in the Classroom (Inaqui De Olaizola and Manuel Santos-Trigo); (41) Scaling Up Strategies for Change (Truus Dekker and Els Feijs); (42) Representational Ability and Understanding of Derivative (Delos Santos, Alan Gil and Michael O. J. Thomas); (43) Using Students' Ways of Thinking to Re-Cast the Tasks of Teaching about Functions (Helen M. Doerr); (44) From Oral to Written Texts in Grade 1 and the Approach to Mathematical Argumentation (Nadia Douek and Michel Pichat); (45) Young Children's Understanding of Geometric Shapes: The Role of Geometric Models (Iliada Elia, Athanasios Gagatsis, and Leonidas Kyriakides); (46) Perspective-Taking in Middle-School Mathematical Modelling: A Teacher Case Study (Lyn D. English and Helen M. Doerr); (47) Bridging Mathematical Knowledge from Different Cultures: Proposals for an Intercultural and Interdisciplinary Curriculum (Franco, M. Favilli, Luisa Oliveras, and Margarida Cesar); (48) Metaphors as Vehicles of Knowledge: An Exploratory Analysis (Francesca Ferrara); (49) Equity and Beliefs about the Efficacy of Computers for Mathematics Learning (Helen J. Forgasz); (50) Identifying a Research Agenda: The Interaction of Technology with the Teaching and Learning of Data Analysis and Statistics (Susan N. Friel); (51) To Produce Conjectures and to Prove Them within a Dynamic Geometry Environment: A Case Study (Fulvia Furinghetti and Domingo Paola); (52) "It Is Possible to Die before Being Born". Negative Integers Subtraction: A Case Study (Aurora Gallardo); (53) Evolution of Forms of Representation In a Modelling Activity: A Case Study (Rossella Garuti, Carlo Dapueto, and Paolo Boero); (54) Key Transitions in Counting Development for Young Children Who Experience Difficulty (Ann Gervasoni); (55) One Line Proof: What Can Go Wrong? (Soheila Gholamazad, Peter Liljedahl, and Rina Zazkis); (56) On Line Professional Community Development and Collaborative Discourse In Geometry (Joaquin Gimenez and Marcelo Barrial); and (57) Descriptions and Definitions in the Teaching of Elementary Calculus (Victor Giraldo, Luiz Mariano Carvalho, and David Tall). (Individual papers contain references, tables, and figures.)[For volume 1 of these proceedings, see ED500857.]

Descriptors: Undergraduate Students, Preservice Teachers, Mathematics Education, Investigations, Young Children, Likert Scales, Mathematical Concepts, Word Problems (Mathematics), Multiplication, Pretests Posttests, Comparative Analysis, Elementary School Teachers, Mathematical Logic, Validity, Probability, Calculus, Geometry, Foreign Countries, Algebra

International Group for the Psychology of Mathematics Education. 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Tel: +27-21-715-3559; Fax: +27-88-021-715-3559; e-mail: info@igpme.org; Web site: http://igpme.org

**Publication Type:**Collected Works - Proceedings

**Education Level:**Elementary Secondary Education

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**International Group for the Psychology of Mathematics Education.

**Identifiers - Location:**Australia