Connecting and generalising arithmetic into powerful abstract systems: Year 2 to 5 children's cognitive development with respect to algebraic reasoning

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Algebra is a fundamental area of mathematical thinking. In spite of the wealth of research at both the national and international level, algebraic thinking still persists as a barrier to secondary and tertiary mathematics. This project will develop new research integrating alegbra and arithmetic at the primary level as a key for access to higher levels of algebra. The investigators will engage teachers and students from 5 primary schools to construct a model of Year 2 to 5 children's cognitive development with regard to algebraic reasoning and develop instructional strategies and teaching episodes to facilitate this.