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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)
Corey, Douglas Lyman; Jones, Steven R. – International Journal of Mathematical Education in Science and Technology, 2023
In this article we introduce a type of teaching scholarship called Lesson Analysis (LA) that helps build instructional knowledge, and an associated genre of writing called Lesson Analysis Manuscript (LAM) that shares this instructional knowledge. We briefly describe the problem LA is intended to solve, as well as key features of a LAM. In LA,…
Descriptors: Lesson Plans, Teaching Methods, Instructional Development, Knowledge Base for Teaching
An, Song; Hachey, Alyse; Tillman, Daniel; Divis, Danielle; Birdwell, Bryn – International Journal of Mathematical Education in Science and Technology, 2023
The current study was conducted with the goal of helping to address the research gap of improving preservice teachers' pedagogical knowledge about probability by investigating how preservice teachers explored concepts of probability during aleatoric music composition, as well as their contemplation process during follow-up reflections focused on…
Descriptors: Preservice Teachers, Teacher Education Programs, Probability, Pedagogical Content Knowledge
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
Keith Gallagher; Nicole Engelke Infante – International Journal of Mathematical Education in Science and Technology, 2023
Expert mathematicians use examples and visual representations as part of their informal mathematics reasoning when constructing proofs. In contrast, the ways undergraduates reason and work toward creating proofs is an open area of investigation, particularly in advanced mathematics. Furthermore, research on students' reasoning in topology is…
Descriptors: Undergraduate Students, College Mathematics, Topology, Mathematics Skills
