Proceedings of the Annual Conference of the International Group for the Psychology of Mathematics Education with the North American Chapter 12th PME-NA Conference (14th, Mexico, July 15-20, 1990), Volume 2.

This proceedings of the annual conference of the International Group for the Psychology of Mathematics Education (PME) includes the following research papers: "Children's Connections among Representations of Mathematical Ideas" (A. Alston & C.A. Maher); "Algebraic Syntax Errors: A Study with Secondary School Children" (A. Avila, F. Garcia, & T. Rojano); "The Development of Conceptual Structure as a Problem Solving Activity" (V. Cifarelli); "From Arithmetic to Algebra: Negotiating a Jump in the Learning Process" (A. Cortes, N. Kavafian, & G. Vergnaud); "Continuous Analysis of One Year of Science Students' Work in Linear Algebra, in First Year French University" (J.L. Dorier); "Avoidance and Acknowledgement of Negative Numbers in the Context of Linear Equations" (A. Gallardo);"Introducing Algebra: A Functional Approach in a Computer Environment" (M. Garancon, C. Kieran, & A. Boileau); "LOGO, to Teach the Concept of Function" (D. Guin & I.G. Retamal); "The Concept of Function: Continuity Image versus Discontinuity Image: Computer Experience" (F. Hitt); "Acquisition of Algebraic Grammar" (D. Kirshner); "Embedded Figures and Structures of Algebraic Expressions" (L. Linchevski & S. Vinner); "A Framework for Understanding What Algebraic Thinking Is" (R.L. Lins); "Developing Knowledge of Functions through Manipulation of a Physical Device" (L. de Lemos Meira); "Students' Interpretations of Linear Equations and Their Graphs" (J. Moschkovich); "An Experience to Improve Pupil's Performance in Inverse Problems" (A. Pesci); "Algebra Word Problems: A Numerical Approach for Its Resolution: A Teaching Experiment in the Classroom" (G. Rubio); "Children's Writing about the Idea of Variable in the Context of a Formula" (H. Sakonidis & J. Bliss); "Observations on the 'Reversal Error' in Algebra Tasks" (F. Seeger); "Generalization Process in Elementary Algebra: Interpretation and Symbolization" (S.U. Legovich); "Effects of Teaching Methods on Mathematical Abilities of Students in Secondary Education Compared by Means of a Transfer Test" (J. Meijer); "On Long Term Development of Some General Skills in Problem Solving: A Longitudinal Comparative Study" (P. Boero); "Cognitive Dissonance versus Success as the Basis for Meaningful Mathematical Learning" (N.F. Ellerton & M.A. Clements); "Time and Hypothetical Reasoning in Problem Solving" (P.L. Ferrari); "The Interplay between Student Behaviors and the Mathematical Structure of Problem Situations: Issues and Examples" (R. Herschkowitz & A. Arcavi); "Paradigm of Open-Approach Method in the Mathematics Classroom Activities: Focus on Mathematical Problem Solving" (N. Nohda); "Reflexions sur le Role du Maitre dans les Situations Didactiques a Partir du Cas de l'Enseignement a des Eleves en Difficulte" (M.J.P. Glorian); "Diagnosis and Response in Teaching Transformation Geometry" (A. Bell & D. Birks); "Children's Recognition of Right Angled Triangles in Unlearned Positions" (M. Cooper & K. Krainer); "The Role of Microworlds in the Construction of Conceptual Entities" (L.D. Edwards); "The Cognitive Challenge Involved in Escher's Potato Stamps Microworld" (R. Hadass); "Study of the Degree of Acquisition of the Van Hiele Levels by Secondary School Students" (A. Jaime & A. Gutierez); "Spatial Concepts in the Kalahari" (H. Lea); "Integrating LOGO in the Regular Maths Curriculum: A Developmental Risk or Opportunity?" (T. Lemerise); "Young Children Solving Spatial Problems" (H. Mansfield & J. Scott); "The Role of Format in Students' Achievement of Proof" (W.G. Martin); "L'influence des Aspects Figuratifs dans le Raisonnment des Eleves en Geometrie" (A. Mesquita); "Children's Understanding of Congruence According to the Van Hiele Model of Thinking" (L. Nasser); "Prospective Primary Teachers' Conceptions of Area" (C. Tierney, C. Boyd, & G. Davis); "Probability Concepts and Generative Learning Theory" (O. Bjorkqvist); "Some Considerations on the Learning of Probability" (A.M.O. Salazar); "Gambling and Ethnomathematics in Australia" (R. Peard); "Mathematization Project in Class as a Collective Higher Order Learning Process" (H.G. Steiner). Also includes a listing of author addresses. (MKR)