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Arilín Haro; Mario Sánchez Aguilar – International Journal of Mathematical Education in Science and Technology, 2025
This literature review covers 42 years and has two main objectives: to identify the obstacles to learning the polar coordinate system and to explore the teaching proposals suggested to overcome them. These questions are answered by locating and analysing articles related to the topic published in research and practitioner journals specialising in…
Descriptors: Mathematics Instruction, Mathematical Concepts, Barriers, Teaching Methods
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James Drimalla – Educational Studies in Mathematics, 2025
Inferentialism has emerged as a valuable theoretical resource in mathematics education. As a theory of meaning about the use and content of concepts, it offers a fresh perspective on traditional epistemological and linguistic questions in the field. Despite its emergence, important inferentialist ideas still need to be operationalized. In this…
Descriptors: Mathematics Education, Mathematical Concepts, Inferences, Statistical Inference
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Isaac Gyan Ayeh – European Journal of Science and Mathematics Education, 2025
Functions and graphs are fundamental mathematical concepts in mathematics and are vital to helping students comprehend the relationship between variables and other advanced topics in higher-level mathematics. Research has shown that students continually possess misconceptions and inaccurate thinking about functions and function representations.…
Descriptors: Grade 11, High School Students, Mathematics, Mathematical Concepts
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Camilo Andrés Rodríguez-Nieto; Flor Monserrat Rodríguez-Vásquez; Vicenç Font Moll; Sudirman Sudirman; Benilda María Cantillo-Rudas – Educational Process: International Journal, 2025
Background/purpose. One of the current problems facing mathematics students, graduates in mathematics, and engineering is the disconnection between the meanings, symbolic representations, and graphics of derivatives when solving problems, which hinders their understanding. This article analyzes engineering students' understanding activated by…
Descriptors: Knowledge Level, Problem Solving, Graphs, Mathematics Instruction
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Maria Al Dehaybes; Johan Deprez; Paul van Kampen; Mieke De Cock – Physical Review Physics Education Research, 2025
This study investigated how students reason about the partial derivative and the directional derivative of a multivariable function at a given point, using different graphical representations for the function in the problem statement. Questions were formulated to be as isomorphic as possible in both mathematics and physics contexts and were given…
Descriptors: Physics, Calculus, Graphs, Abstract Reasoning
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Maria Al Dehaybes; Johan Deprez; Paul van Kampen; Mieke De Cock – Physical Review Physics Education Research, 2025
When learning physics, students need more than just an understanding of mathematical and physical concepts. Integrating the two fields is crucial, as research indicates that students often struggle even when they have a strong grasp of both. In this paper, we use the heat equation as an example from higher education. Given the importance of the…
Descriptors: Calculus, Physics, Science Instruction, Mathematical Concepts