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- Title
Seeing number relations when solving a three-digit subtraction task.
- Authors
Kullberg, Angelika; Björklund, Camilla; Runesson Kempe, Ulla
- Abstract
The decomposition of numbers when solving subtraction tasks is regarded as more powerful than counting-based strategies. Still, many students fail to solve subtraction tasks despite using decomposition. To shed light upon this issue, we take a variation theoretical perspective (Marton, 2015) seeing learning as a function of discerning critical aspects and their relations of the object of learning. In this paper, we focus on what number relations students see in a three-digit subtraction task, and how they see them. We analyzed interview data from 55 second-grade students who used decomposition strategies to solve 204 − 193 =. The variation theory of learning was used to analyze what number relations the students experienced and how they experienced them, aiming to explain why they made errors even though they used presumably powerful strategies in their problem-solving. The findings show that students who simultaneously experienced within-number relations and between-number relations when solving the task succeeded in solving it, whereas those who did not do this failed. These findings have importance for understanding what students need to discern in order to be able to solve subtraction tasks in a proficient way.
- Subjects
STUDY &; teaching of subtraction; TASK performance; PHILOSOPHY of education; STUDY &; teaching of arithmetic; PROBLEM solving ability testing
- Publication
Educational Studies in Mathematics, 2024, Vol 115, Issue 2, p271
- ISSN
0013-1954
- Publication type
Article
- DOI
10.1007/s10649-023-10287-0