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Working with early number algebraically: the mental starters assessment project

Venkat, Hamsa orcid logoORCID: 0000-0002-6453-1623, Askew, Mike orcid logoORCID: 0000-0003-0826-461X and Graven, Mellony orcid logoORCID: 0000-0002-8021-3959 (2024) Working with early number algebraically: the mental starters assessment project. In: Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), 10-14 July 2023, Budapest. ISBN https://hal.science/hal-04418304

Abstract
In this paper, we share features of the Mental Starters Assessment Project (MSAP) teaching and assessment materials from South Africa that integrate early algebraic approaches in an initiative focused on early arithmetic. The features of generalized arithmetic described in the early algebra literature that are incorporated into the MSAP materials are detailed: attention to number relations/properties and base ten structure, pattern, and moves between key representations. The mechanisms through which these features are integrated are: inclusion of open number sentences with a focus on equivalence, verbalisations of equivalence, attention to patterns in calculations in base ten structure, and key representations and their interconnections. The trajectory of outcomes from iterative scaling-up trials suggests that integration of algebraic features alongside arithmetical goals builds mental mathematical skills in ways that are grounded in a relational sense of number.
Metadata
Item Type:Conference or Workshop Item (Paper)
Event Type:Conference
Refereed:Yes
Uncontrolled Keywords:Mental mathematics; generalized arithmetic; strategic calculation; equivalence; South Africa
Subjects:Social Sciences > Education
Mathematics
Mathematics > Algebra
DCU Faculties and Centres:DCU Faculties and Schools > Institute of Education > School of STEM Education, Innovation, & Global Studies
Research Institutes and Centres > Center for the Advancement of Science Teaching and Learning (CASTeL)
Published in: Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), Proceedings. . ERSME. ISBN https://hal.science/hal-04418304
Publisher:ERSME
Copyright Information:© 2023 The Authors.
ID Code:29741
Deposited On:28 Mar 2024 12:17 by Melissa Lynch . Last Modified 28 Mar 2024 13:15
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