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Direct linkJennifer A. Czocher; Elizabeth Roan; Abigail Quansah; Andrew Baas – International Journal of Mathematical Education in Science and Technology, 2024
Students exit calculus with understandings of change that want for conceptual depth and are disconnected from real-world contexts. In this paper, we present a problem that will develop their skills in using "change" concepts for learning differential equations through modelling. The problem comes from a qualitative study of how STEM…
Descriptors: STEM Education, Calculus, Undergraduate Students, Modeling (Psychology)
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
da Fonseca, Vilmar Gomes; Henriques, Ana Cláudia Correia Batalha – International Journal of Mathematical Education in Science and Technology, 2023
This study is based on an exploratory teaching experiment, integrating the use of GeoGebra, carried out with Brazilian pre-service mathematics teachers that were attending a Pre-Calculus course. We focus on the contributions of GeoGebra to the learning that the students evidence about the 'instantaneous rate of change', in this teaching experiment…
Descriptors: Preservice Teachers, Teacher Education Programs, Mathematics Teachers, Calculus
Kertil, Mahmut; Küpcü, Ali Riza – International Journal of Mathematical Education in Science and Technology, 2021
This study investigates prospective elementary and secondary school mathematics teachers' ways of reasoning about differentiability at a point and corner points while working on a mathematical modelling activity. Adopting a multiple-case study design, the participants of the study were 68 prospective elementary school mathematics teachers enrolled…
Descriptors: Preservice Teachers, Mathematics Education, Elementary Education, Secondary Education
Mkhatshwa, Thembinkosi P. – International Journal of Mathematical Education in Science and Technology, 2019
A relative extrema optimization problem is one in which the domain of the objective function (i.e. the function whose maximum or minimum value is to be found) is an open interval. An absolute extrema optimization problem is one in which the domain of the objective function is a closed interval. Analysis of task-based interviews conducted with 12…
Descriptors: Mathematics Instruction, Calculus, Mathematical Logic, Thinking Skills
