Exploration of calculation strategies in doubling and halving with grade 3 learners
Date
2023-03
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of the Witwatersrand, Johannesburg
Abstract
A crisis reported is that the majority of learners do not achieve development in number sense. Unit counting is the preferred method of counting, and consequently, fluency and conceptual understanding of numbers are lost. This study addresses the need for early intervention that focuses on the progression of learners towards the use of more efficient strategies. Specifically, the study aimed to explore doubling and halving strategies with Grade 3 learners through an intervention to develop learners’ calculation strategies using the adapted pre-test, intervention, and post-test from the Mental Starter Assessment Project (MSAP). The sample included 24 Grade 3 learners, which comprised a control group and an intervention group. The study employed Piaget’s theory of cognitive development, which focuses on how learners process new knowledge. Findings indicate that before the intervention, the learners in the control and intervention groups relied on counting strategies to solve doubling and halving problems, and the alternative strategies that were used were not clear. The intervention group was exposed to the various doubling and halving representations of the strategy. However, the findings show that the intervention group performed only slightly better in the strategic calculating and strategic thinking categories than the control group. These findings indicate that a shift in learning can happen, albeit slower than expected. Further research is needed across contexts and learners to indicate ways in which the intervention could be improved.
Description
A Research Report submitted to Wits School of Education, Faculty of Humanities, University of the Witwatersrand, Johannesburg, in partial fulfilment of the requirements For the degree of Master of Education, in 2023.
Keywords
Learnrs, Counting, Fluency, Conceptual understanding, Early intervention, Grade 3 learners, Learners’ calculation strategies, Mental Starter Assessment Project (MSAP), UCTD
Citation
Mtsweni, Thobile. (2023). Exploration of calculation strategies in doubling and halving with grade 3 learners. [Master's dissertation, University of the Witwatersrand, Johannesburg]. WIReDSpace. https://hdl.handle.net/10539/38968