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Vahid Borji; Rafael Martínez-Planell; María Trigueros – Educational Studies in Mathematics, 2024
We use Action-Process-Object-Schema (APOS) theory to study students' geometric understanding of partial derivatives of functions of two variables. This study contributes to research on the teaching and learning of differential multivariable calculus and its didactics. This is an important area due to its multiple applications in science,…
Descriptors: Geometry, Geometric Concepts, Calculus, Mathematical Applications
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Zahra Pourazima; Vahid Borji; Hassan Alamolhodaei – International Journal of Mathematical Education in Science and Technology, 2025
The basic notions of combinatorics, including systematic listing and permutations, are important topics of mathematics that are recommended to be learned eventually from elementary schools. However, there is little research in mathematics education regarding elementary students' combinatorial strategies. The purpose of this research is to…
Descriptors: Mathematics Instruction, Grade 3, Elementary School Students, Numbers