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Outhred, Lynne; Mitchelmore, Michael – International Group for the Psychology of Mathematics Education, 2004
This paper presents the results of a study of the structural development of young students' drawings of arrays, and in particular, the significance of using lines instead of drawing individual squares. Students' array drawings were classified on basis of numerical properties, and perceived structural similarities that reflected the spatial…
Descriptors: Cognitive Development, Spatial Ability, Elementary School Students, Mathematics Instruction
Ronning, Frode – International Group for the Psychology of Mathematics Education, 2004
The object of this paper is to present and analyze some observations of the language children in 1st grade (6-7 years old) use when they talk about geometrical objects. The observations are made during a number of encounters with the pupils during one year. The work is part of an ongoing collaboration project between a university college and a…
Descriptors: Grade 1, Concept Formation, Researchers, Geometry
Meron, Ruth; Peled, Irit – International Group for the Psychology of Mathematics Education, 2004
This study investigated the development of an additive schema from the perspective of the schema's flexibility in coping with new context and unfamiliar semantic structure. It followed 27 first graders who learned addition and subtraction using an experimental curriculum. The instruction involved a didactical model combining the context of two…
Descriptors: Grade 1, Semantics, Experimental Curriculum, Coping
Mulligan, Joanne; Prescott, Anne; Mitchelmore, Michael – International Group for the Psychology of Mathematics Education, 2004
In a descriptive study of 103 grade 1 children, including 16 longitudinal case studies, we investigated the use of mathematical structure across a range of mathematical tasks. Children's structural development was inferred from their imagistic representations, supported by analysis of problem-solving behavior during videotaped task-based clinical…
Descriptors: Grade 1, Mathematics Instruction, Longitudinal Studies, Case Studies