Warren, E., Miller, J. & Cooper, TJ. (2011). An exploration of young students' ability to generalise function tasks. J. Clark, B. Kissane, J. Mousley. 752-759. Australia: AAMT and MERGA.
The Early Years Generalising Project involves Australian students, Years 1–4 (age 5–9), and explores how the students grasp and express generalisations. This paper focuses on the data collected from clinical interviews with Year 3 and 4 cohorts in an investigative study focussing on the identification, prediction and justification of function rules. It reports on students attempts to generalise from function machine contexts, describing the various ways students express generalisation and highlighting the different levels of justification given by students. Finally, we conjecture there are a set of stages in the expression and justification of generalisations that assist students to reach generality within tasks.
Open Access Conference Paper