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Mulligan, Joanne; Mitchelmore, Michael – Mathematics Education Research Journal, 2009
Recent educational research has turned increasing attention to the structural development of young students' mathematical thinking. Early algebra, multiplicative reasoning, and spatial structuring are three areas central to this research. There is increasing evidence that an awareness of mathematical structure is crucial to mathematical competence…
Descriptors: Mathematics Education, Mathematical Concepts, Grade 1, Concept Formation
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