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Peer reviewedChristou, Constantinos; Philippou, George – Journal for Research in Mathematics Education, 1998
Investigates the effect of mental schemes corresponding to additive and multiplicative situations in the process of interpreting and solving problems. Classifies relative difficulties of problems according to their situations which are considered through a written test administered to pupils in grades 2, 3, and 4. Supports the assumption that…
Descriptors: Addition, Arithmetic, Cognitive Development, Concept Formation
Harel, Guershon, Ed.; Confrey, Jere, Ed. – 1994
This book is a compilation of recent research on the development of multiplicative concepts. The sections and chapters are: (1) Theoretical Approaches: "Children's Multiplying Schemes" (L. Steffe), "Multiplicative Conceptual Field: What and Why?" (G. Vergnaud), "Extending the Meaning of Multiplication and Division" (B. Greer); (2) The Role of the…
Descriptors: Addition, Arithmetic, Cognitive Development, Division
Quintero, Ana Helvia – 1981
This paper studies the difficulties children have solving word problems that correspond to one of the situations modeled by multiplication; that of a ratio (e.g. "candies per box"), multiplied by an extensive quantity (e.g. "boxes") (I x E). Sixty children were individually observed solving and repeating I x E problems. Various…
Descriptors: Cognitive Development, Cognitive Processes, Educational Research, Elementary Education
Keranto, Tapio – 1984
The processes and strategies used by Finnish second graders in solving verbal multiplication and division tasks were investigated, and the relationship of these processes and strategies to Piagetian abilities, memory capacity skills, and rational number concepts was charted. Three categories of strategies were classified: operations based on…
Descriptors: Cognitive Development, Cognitive Processes, Division, Educational Research
Download full textPateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…
Descriptors: Preservice Teacher Education, Preservice Teachers, Mathematics Education, Validity
