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Andreas Bergwall – International Journal of Mathematical Education in Science and Technology, 2025
Students' difficulties with proofs are well documented. To remedy this, it is often recommended that reasoning and proving be focused on in all grades and content areas of school mathematics. However, proofs continue to have a marginal place in many classrooms, or are only given explicit attention in courses in Euclidean geometry. Geometry is also…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Geometry
Bergwall, Andreas – International Journal of Mathematical Education in Science and Technology, 2021
Despite the central role of proofs in mathematics, research often shows that school textbooks offer limited support for the teaching and learning of proof-related reasoning. This study contributes to this field of research by studying Swedish and Finnish upper secondary textbooks on logarithms and combinatorics. Justifications in expository…
Descriptors: Validity, Mathematical Logic, Mathematics Instruction, Secondary School Mathematics
Nordlander, Maria Cortas – International Journal of Mathematical Education in Science and Technology, 2022
The purpose of this paper is to follow the reasoning of high school students when asked to explain the standard trigonometric limit lim/[theta][right arrow] sin[theta]/[theta]. An observational study was conducted in four different phases in order to investigate if visualization, by means of an interactive technology environment (Geogebra), can…
Descriptors: Trigonometry, Mathematics Instruction, Concept Formation, Mathematical Concepts