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This proceedings of the annual conference of the International Group for the Psychology of Mathematics Education (PME) includes the following research papers: "A Model of Understanding Two-Digit Numeration and Computation" (H. Murray & A. Olivier); "The Computer Produces a Special Graphic Situation of Learning the Change of Coordinate System" (S. Nadot); "Epistemological Analysis of Early Multiplication" (N. Nantais & N. Herscovics); "Are the Van Hiele Levels Applicable to Transformation Geometry?" (L. Nasser); "Intuitive and Formal Learning of Ratio Concepts" (P. Nesher & M. Sukenik); "Early Conceptions of Subtraction" (D. Neuman); "Computational, Estimation Performance and Strategies Used by Select Fifth and Eighth Grade Japanese Students" (N. Nohda, J. Ishida, K. Shimizu, S. Yoshikawa, R.E. Reys, & B.J. Reys); "Associations Among High School Students' Interactions with Logo and Mathematical Thinking" (J. Olive); "Graphic Constructions with Computer to Learn 3D Reference Systems" (I. Osta); "Applied Problem Solving in Intuitive Geometry" (J.P. Pace); "L'incidence de l'Environment sur la Perception et la Representation d'Objets Geometriques" (R. Pallascio, L. Talbot, R. Allaire, & P. Mongeau); "Angles et Pixels - Quelle Synergie a 9 Ans?" (C. Parmentier); "Interaction by Open Discussion and 'Scientific Debate' in a Class of 12-Years Old Pupils" (T. Patronis); "Formal and Informal Sources of Mental Models for Negative Numbers" (I. Peled, S. Mukhopadhyay, & L.B. Resnick); "Inverse Procedures: The Influence of a Didactic Proposal on Pupils' Strategies" (A. Pesci);"Through the Recursive Eye: Mathematical Understanding as a Dynamic Phenomenon" (S. Pirie & T. Kieren); "Cognitive Aspects of the Learning of Mathematics in a Multicultural School" (N. Presmeg & A. Frank); "Qualitative and Quantitative Predictions as Determinants of System Control" (M. Reiss); "Transfer between Function Representations: A Computational Model" (B. Schwarz & T. Dreyfus); "Transition from Operational to Structural Conception: The Notion of Function Revisited" (A. Sfard); "Supercalculators and Research on Learning" (R. Shumway); "How and When Attitudes Towards Mathematics and Infinity Become Constituted into Obstacles in Students?" (A. Sierpinska & M. Viwegier); "Learning Y-Intercept: Assembling the Pieces of an 'Atomic' Concept" (J. Smith, A. Arcavi, & A.H. Schoenfeld);"Computers, Video, Both or Neither: Which is Better for Teaching Geometry?" (N. Snir, Z. Mevarech, & N. Movshovitz-Hadar); "Vocational Mathematics Teachers' Cognition of Mathematical and Vocational Knowledge" (R. Strasser & R. Bromme); "Training Elementary Teachers in Problem Solving Strategies: Impact on Their Students' Performance" (J.K. Stonewater); "Developing Algebraic Understanding: The Potential of a Computer Based Environment" (R. Sutherland); "Verbal Evidence for Versatile Understanding of Variables in a Computer Environment" (M. Thomas & D. Tall); "Conceptual Adjustments in Progressing From Real to Complex Numbers" (D. Tirosh & N. Almog); "Does the Semantic Structure of Word Problems Affect Second Graders' Eye-Movements?" (L. Vershaffel, E. de Corte, & A. Pauwels); "The Lesson - A Preconceptional Stage" (S. Vinner); "An Analysis of the Emotional Acts of Young Children While Learning Mathematics" (E. Yackel, P. Cobb, & T. Wood); "The Use of Graphs as Visual Interactive Feedback While Carrying Out Algebraic Transformations" (M. Yerushalmy); "Images of Geometrical Transformations: From Euclid to the Turtle and Back" (R. Zazkis & U. Leron); and "A Knowledge-Base of Student Reasoning about Characteristics of Functions" (N. Zehavi & B. Schwarz). Includes a listing of author addresses. (MKR)

This proceedings of the annual conference of the International Group for the Psychology of Mathematics Education (PME) includes the following research papers: "Logo et Symetrie Centrale" (E. Gallou-Dumiel); "About Continuous Operator Subconstruct in Rational Numbers" (J. Gimenez); "Constructivist Epistemology and Discovery Learning in Mathematics" (G.A. Goldin); "Comparative Analysis of Two Arithmetic Situations" (M.G. Grossi); "Understanding and Discussing Linear Functions in Situations: A Developmental Study" (J.L. Gurtner); "Low Mathematics Achievers' Test Anxiety" (R. Hadass); "Proofs That Prove and Proofs That Explain" (G. Hanna); "Fishbein's Theory: A Further Consideration" (G. Harel, M. Behr, T. Post, & R. Lesh); "They're Useful: Children's View of Concrete Materials" (K. Hart & A. Sinkinson); "Children's Individuality in Solving Fraction Problems" (K. Hasemann); "Aspects of Declarative Knowledge on Control Structures" (K. Haussmann & M. Reiss); "A Conceptual Analysis of the Notion of Length and Its Measure" (B. Heraud); "The Kindergartners' Understanding of Cardinal Number: An International Study" (N. Herscovics & J.C. Bergeron); "Learning about Isosceles Triangles" (J. Hillel); "Construction of Functions, Contradiction and Proof" (F. Hitt); "A Logo-Based Microworld for Ratio and Proportion" (C. Hoyles, R. Noss, & R. Sutherland); "The Facilitating Role of Table Forms in Solving Algebra Speed Problems: Real or Imaginary?" (R. Hoz & G. Harel); "The Learning of Plane Isometries from the Viewpoint of the Van Hiele Model" (A. Jaime & A. Gutierrez);"Representation and Contextualization" (C. Janvier); "To Inculcate versus to Elicit Knowledge" (B. Jaworski); "Van Hiele Levels and the Solo Taxonomy" (M. Jurdak); "A Perspective on Algebraic Thinking" (C. Kieran); "A Structural Conceptual Model for Investigating Some Cognitive Aspects of Problem-Solving" (N. Krumholtz); "The Effect of Setting and Numerical Content on the Difficulty of Ratio Tasks" (D. Kuchemann); "Satisfaction and Regret about the Choice of Math" (H. Kuyper & W. Otten); "Intrinsic versus Euclidean Geometry: Is the Distinction Important to Children Learning with the Turtle?" (C. Kynigos); "Mathophobia: A Classroom Intervention at the College Level" (R. Lacasse & L. Gattuso); "Le Micro-Ordinateur, outil de Revelation et d'Analyse de Procedures dans de Courtes Demonstrations de Geometrie" (A. Larher & R. Gras); "Gender Differences in Mathematics Learning Revisited" (G.C. Leder); "La Resolution de Problemes dans l'Enseignement des Mathematiques: Compte Rendu d'une Experience aupres d'Enseignants du Primaire" (G. Lemoyne & F. Conne); "Strategies Used by 'Adders' in Proportional Reasoning" (F.L. Lin); "Canonical Representations of Fractions as Cognitive Obstacles in Elementary Teachers" (L. Linchevsky & S. Vinner); "Using Concept Maps to Explore Students' Understanding in Geometry" (H. Mansfield & J. Happs); "Mental Images: Some Problems Related to the Development of Solids" (M.A. Mariotti); "The Role of the Figure in Students' Concepts of Geometric Proof" (W.G. Martin & G. Harel); "The Inner Teacher, The Didactic Tension, and Shifts of Attention" (J.H. Mason & P.J. Davis); "Lecture et Construction de Diagrammes en Batons dans le Premier Cycle de l'Enseignement Secondaire Francais" (S. Maury, M. Janvier, & J. Baille); "Cooperative Group Learning of Geometric Proof Construction: A Classroom Assessment" (L. MacRae & B. Harrison); "Comparing Experts' and Novices' Affective Reactions to Mathematical Problem Solving: An Exploratory Study" (D. McLeod, W. Metzger, & C. Craviotto); and "The Development of Children's Concepts of Angle" (M.C. Mitchelmore). (MKR)