Why Knowledge of Fractions is Important for Algebraic Readiness in the Middle Years of Schooling

Catherine Pearn

In this presentation the importance of developing both fractional number understanding and algebraic reasoning will be articulated. I argue that arithmetical thinking about fractions necessarily involves multiplicative thinking as opposed to additive thinking. However in moving from arithmetical thinking to algebraic thinking involving fractions, a necessary intermediate stage for middle years’ students is effective representational and relational thinking of fractions. The aim is to identify the key stages and develop a Screening Test of algebraic readiness.