Handbook of research on the psychology of mathematics education : : past, present and future / / edited by Angel Gutiérrez, Paolo Boero.

• TeilnehmendeR: Gutiérrez Vázquez, Angel,; Boero, Paolo,
• Place / Publishing House: Rotterdam, Netherlands ;, Taipei : : Sense Publishers,, [2006]; ©2006
• Year of Publication: 2006
• Language: English
• Physical Description: 1 online resource
• Notes: Bibliographic Level Mode of Issuance: Monograph

This volume is a compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation, 30 years ago. It has been written to become an essential reference for Mathematics Education research in the coming years. The chapters offer summaries and synthesis of the research produced by the PME Group, presented to let the readers grasp the evolution of paradigms, questions, methodologies and most relevant research results during the last 30 years. They also include extensive lists of references. Beyond this, the chapters raise the main current research questions and suggest directions for future research. The handbook is divided into five sections devoted to the main research domains of interest to the PME Group. The first three sections summarize cognitively oriented research on learning and teaching specific content areas, transversal areas, and based on technology rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of Mathematics Education. Finally, the fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers. The volume is the result of the effort of 30 authors and 26 reviewers. Most of them are recognized leading PME researchers with great expertise on the topic of their chapter. This handbook shall be of interest to both experienced researchers and doctoral students needing detailed synthesis of the advances and future directions of research in Mathematics Education, and also to mathematics teacher trainers who need to have a comprehensive reference as background for their courses on Mathematics Education.

Table of Contents

Preliminary Material / Angel Gutiérrez and Paolo Boero -- Introduction / Angel Gutiérrez and Paolo Boero -- Research on the Learning and Teaching of Algebra / Carolyn Kieran -- Numerical Thinking / Lieven Verschaffel , Brian Greer and Joke Torbeyns -- The Complexity of Learning Geometry and Measurement / Kay Owens and Lynne Outhred -- Research on Children’s Early Mathematical Development / Joanne Mulligan and Gerard Vergnaud -- Advanced Mathematical Thinking / Guershon Harel , Annie Selden and John Selden -- Proof and Proving in Mathematics Education / Maria Alessandra Mariotti -- Research on Visualization in Learning and Teaching Mathematics / Norma Presmeg -- The Role and Uses of Technologies for the Teaching of Algebra and Calculus / Francesca Ferrara , Dave Pratt and Ornella Robutti -- Teaching and Learning Geometry with Technology / Colette Laborde , Chronis Kynigos , Karen Hollebrands and Rudolf Strässer -- A Thirty-Year Reflection on Constructivism in Mathematics Education in Pme / Jere Confrey and Sibel Kazak -- Socio-Cultural Research in Pme / Stephen Lerman -- The Place of Equity and Social Justice in the History of PME / Peter Gates -- Affect and Mathematics Education / Gilah C. Leder and Helen J. Forgasz -- Mathematics (Student) Teachers and Teacher Educators as Learners / Salvador Llinares and Konrad Krainer -- Mathematics Teachers’ Knowledge and Practices / João Pedro da Ponte and Olive Chapman -- Authors Index / Angel Gutiérrez and Paolo Boero -- Terms Index / Angel Gutiérrez and Paolo Boero.