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María D. Torres; Antonio Moreno; Rodolfo Vergel; María C. Cañadas – International Journal of Science and Mathematics Education, 2024
This paper is part of broader research being conducted in the area of algebraic thinking in primary education. Our general research objective was to identify and describe generalization of a 2nd grade student (aged 7-8). Specifically, we focused on the transition from arithmetic to algebraic generalization. The notion of structure and its…
Descriptors: Grade 2, Elementary School Mathematics, Arithmetic, Algebra
Norton, Stephen J. – International Group for the Psychology of Mathematics Education, 2005
The development of proportional reasoning has long been recognised as a central but problematic aspect of mathematics learning. In a Year 6 teaching intervention the part/whole notion of fractions was distinguished from the part: part notion of ratio, and the "between" and "within" relationships in ratio were emphasised.…
Descriptors: Mathematics Education, Mathematical Concepts, Number Concepts, Arithmetic