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Mkhatshwa, Thembinkosi Peter – International Journal of Mathematical Education in Science and Technology, 2023
This paper extends work in the areas of quantitative reasoning and covariational reasoning at the undergraduate level. Task-based interviews were used to examine third-semester calculus students' reasoning about partial derivatives in five tasks, two of which are situated in a mathematics context. The other three tasks are situated in real-world…
Descriptors: Undergraduate Students, Thinking Skills, Abstract Reasoning, Logical Thinking
Tupouniua, John Griffith – International Journal of Mathematical Education in Science and Technology, 2022
A growing emphasis on computational thinking worldwide necessitates student proficiency in creating algorithms. Focusing on the use of counterexamples for developing student-invented algorithms, I reanalyze two pieces of data from previously published research, pertaining to two different cases of students' algorithmatizing activity. In both…
Descriptors: Computation, Thinking Skills, Mathematics, Logical Thinking
Lommatsch, Christina W.; Moyer-Packenham, Patricia S. – International Journal of Mathematical Education in Science and Technology, 2020
Logical statements are prevalent in mathematics, science and everyday life. The most common logical statements are conditionals, 'If H … , then C … ', where 'H' is a hypothesis and 'C' is a conclusion. Reasoning about conditionals depends on four main conditional contexts (intuitive, abstract, symbolic or counterintuitive). This study tested a…
Descriptors: Mathematical Logic, Logical Thinking, Mathematics Skills, Thinking Skills