An exploration of young students' ability to generalise function tasks

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Warren, Elizabeth, Miller, Jodie and Cooper, Tom J.. (2011). An exploration of young students' ability to generalise function tasks. In J. Clark, B. Kissane and J. Mousley (Ed.). Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference. Australia: AAMT and MERGA. pp. 752 - 759
AuthorsWarren, Elizabeth, Miller, Jodie and Cooper, Tom J.
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 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.

Year2011
PublisherAAMT and MERGA
Open accessOpen access
Publisher's version
Page range752 - 759
Research GroupSchool of Education
Grant IDarc/DP0987737
Place of publicationAustralia
EditorsJ. Clark, B. Kissane and J. Mousley
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Warren, Elizabeth Anne. (2003). Young children's understanding of equals: A longitudinal study. In Neil Pateman, Barbara Dougherty and Joseph Zilliox (Ed.). Navigating between theory & practice PME27. Honolulu, Hawaii USA: CRDG College of Education - University of Hawaii. pp. 379 - 386
Introducing equivalence and inequivalence in year 2
Warren, Elizabeth and Cooper, Tom. (2003). Introducing equivalence and inequivalence in year 2. Australian Primary Mathematics Classroom. 8(1), pp. 9 - 14.
Language arithmetic & young children's interpretations
Warren, Elizabeth. (2003). Language arithmetic & young children's interpretations. Focus on Learning Problems in Mathematics. 25(4), pp. 22 - 35.
Arithmetic pathways towards algebraic thinking: Exploring arithmetic compensation in year 3
Warren, Elizabeth and Cooper, Tom. (2003). Arithmetic pathways towards algebraic thinking: Exploring arithmetic compensation in year 3. Australian Primary Mathematics Classroom. 8(4), pp. 10 - 16.
Number combinations and arithmetic structure: Implications for early algebra
Warren, Elizabeth Anne. (2003). Number combinations and arithmetic structure: Implications for early algebra. In L. Bragg, C. Campbell and G. Herbert (Ed.). Mathematics Education Research: Innovation; Networkings; Opportunity: Proceedings of the 26th Annual Conference of the Mathematics Education Research Group of Australia. Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 712 - 719
Collaboration and sharing as crucial elements of professional development
Warren, Elizabeth Anne, Nisbet, Stephen and Cooper, Tom. (2003). Collaboration and sharing as crucial elements of professional development. In In A. Peter-Koop, V. Santos-Wagner and C. Breen et al. (Ed.). Collaboration in Teacher Education: Examples from the Context of Mathematics Education pp. 23 - 40 Kluwer Academic Publishers.
Lifelong learning and teacher education
Chapman, Judith, Toomey, Ron, McGilp, Jacqueline, Walsh, Maureen, Warren, Elizabeth Anne and Gaff, Janet. (2003). Lifelong learning and teacher education Melbourne, Australia: Australian Teacher Education Association.
Learning for life
Walsh, Maureen Patricia, Chapman, Judith Dorothy, McGilp, Jacqueline, Toomey, Ron and Warren, Elizabeth A.. (2003). Learning for life. In In bFrank Crowther (Ed.). Teachers as Leaders in a Knowledge Society pp. 69 - 80 Australian College of Educators.
Literacy and numeracy in the home: Parents supporting children's learning
Young, Janelle Patricia and Warren, Elizabeth Anne. (2002). Literacy and numeracy in the home: Parents supporting children's learning. In Bill Cope and Mary Kalantzis (Ed.). Learning for the Future: Proceedings of the Learning Conference 2001. Melbourne, Australia: Common Ground Publishing. pp. 369 - 376
Arithmetic and quasi-variables: A year 2 lesson to introduce algebra in the early years
Warren, Elizabeth Anne. (2002). Arithmetic and quasi-variables: A year 2 lesson to introduce algebra in the early years. In A. Cockburn and E. Nardi (Ed.). International Group for the Psychology of Mathematics Education: Proceedings of the 26th Annual Conference. Norwich, England: University of East Anglia. pp. 369 - 376
Children's understanding of 'turn arounds'
Warren, Elizabeth. (2002). Children's understanding of 'turn arounds'. Australian Primary Mathematics Classroom. 7(1), pp. 9 - 13.
Parent and school partnerships in supporting literacy and numeracy
Warren, Elizabeth and Young, Janelle. (2002). Parent and school partnerships in supporting literacy and numeracy. Asia-Pacific Journal of Teacher Education. 30(3), pp. 217 - 228.