Concept-procedure interactions in addition and subtraction development

Grant number: DP0449498

Completed

Abstract

The research explores the possibility of different pathways to mathematical knowledge by examining how key concepts and procedures interact in the course of development. Studies 1 and 2 address early addition and subtraction concepts and problem solving in the physical world, Studies 3 - 6 focus on the effects of problem-solving practice and concept-based training and Studies 7 and 8 address children's knowledge of conceptually advanced problem-solving procedures. The results are expected to show that addition and subtraction concepts and procedures influence each other in different ways among children, signifying different pathways of cognitive development.