Generalising mathematical structure in Years 3-4: A case study of equivalence of expression
Cooper, Thomas J. & Warren, Elizabeth (2008) Generalising mathematical structure in Years 3-4: A case study of equivalence of expression. In Figueras, O., Cortina, J. L., Alatorre, S., Rojano, T., & Sepulveda, A. (Eds.) International Group for the Psychology of Mathematics Education: Proceedings of the Joint Meeting of PME 32 and PME-NA XXX, July 17-21, 2008, Morelia, Mexico.
This paper reports on a section of the Early Algebraic Thinking Project (EATP) which focused on Australian Years 3-4 (age 7-9) students' abilities to generalise mathematical structure in relation to equivalence of expressions (with and without unknowns). It focuses on learning activities involving a sequence of representations to show that change resulting from addition-subtraction requires the performance of the opposite change (subtraction-addition respectively) by the same amount in order to return to the original state (e.g., x=x+p-p or x-q+q in algebraic symbols). It shows that children of this age can generalise this mathematical structure and that effective teaching for generalisation uses creative representation-worksheet partnerships.
Citation countsare sourced monthly fromand citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
Full-text downloadsdisplays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.
|Item Type:||Conference Paper|
|Keywords:||mathematical structure, equivalence of expression, early algebra, generalisation|
|Subjects:||Australian and New Zealand Standard Research Classification > EDUCATION (130000) > CURRICULUM AND PEDAGOGY (130200) > Mathematics and Numeracy Curriculum and Pedagogy (130208)|
Australian and New Zealand Standard Research Classification > EDUCATION (130000) > SPECIALIST STUDIES IN EDUCATION (130300) > Learning Sciences (130309)
|Divisions:||Current > Research Centres > Office of Education Research|
Current > QUT Faculties and Divisions > Faculty of Education
|Copyright Owner:||Copyright 2008 Thomas J. Cooper and Elizabeth Warren|
|Deposited On:||24 Nov 2008|
|Last Modified:||29 Feb 2012 23:44|
Repository Staff Only: item control page