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Direct linkHamide Dogan – International Journal of Mathematical Education in Science and Technology, 2023
This paper discusses findings from an ongoing study investigating mental mechanisms involved in the conceptualisation of linear transformations from the perspective of Action (A), Process (P), Object (O), and Schema (S) (APOS) theory. Data reported in this paper came from 44 first-year linear algebra students' responses on a task regarding the…
Descriptors: Cognitive Processes, Mathematics Skills, Concept Formation, Algebra
Download full textZwanch, Karen – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
The number sequences describe a hierarchy of students' concepts of number. This research uses two defining cognitive structures of the number sequences--units coordination and the splitting operation--to model middle-grades students' abilities to write linear equations representing the multiplicative relationship between two unknowns. Results…
Descriptors: Middle School Students, Mathematics Instruction, Algebra, Thinking Skills
