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An exploration of young students' ability to generalise function tasks

Warren, Elizabeth , Miller, Jodie , & Cooper, Thomas J. (2011) An exploration of young students' ability to generalise function tasks. In Sullivan, Peter & Goos, Merrilyn (Eds.) Proceedings of the 34th Annual Conference of the Mathematics Education Research Group of Australia (MERGA), MERGA Inc., Alice Springs, NT , pp. 752-759.

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Abstract

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 focusing on the identifications, 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 that there are a set of stages in the expression and justification of generalisations that assist students to reach generality within tasks.

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ID Code: 46986
Item Type: Conference Paper
Keywords: Generalisation, Mathematics education, Function machine, Early years generalising project, Functional thinking
Subjects: Australian and New Zealand Standard Research Classification > EDUCATION (130000) > EDUCATION SYSTEMS (130100) > Early Childhood Education (excl. Maori) (130102)
Australian and New Zealand Standard Research Classification > EDUCATION (130000) > EDUCATION SYSTEMS (130100) > Primary Education (excl. Maori) (130105)
Australian and New Zealand Standard Research Classification > EDUCATION (130000) > CURRICULUM AND PEDAGOGY (130200) > Mathematics and Numeracy Curriculum and Pedagogy (130208)
Divisions: Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 2011 AAMT & MERGA
Deposited On: 15 Nov 2011 08:26
Last Modified: 05 Dec 2011 10:10

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