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Charity N. Watson; Pablo Duran; Adam Castillo; Edgar Fuller; Geoff Potvin; Laird Kramer – International Journal of Mathematical Education in Science and Technology, 2025
College calculus plays an important role in STEM students' degree and career aspirations. One of the key factors considered in assessing a student's ability to be successful in calculus is their proficiency in topics from prior mathematics courses such as algebra and precalculus. This study set out to examine the impact of students' precalculus…
Descriptors: Active Learning, Calculus, Mathematics Instruction, Teaching Methods
Ngu, Bing Hiong; Phan, Huy P. – International Journal of Mathematical Education in Science and Technology, 2022
Capitalizing on cognitive load theory and learning by analogy, we propose two instructional methods to learn a complex linear equation (e.g. two-step equation) by building on prior knowledge of a simpler linear equation (e.g. one-step equation). We will examine the proposal theoretically in this paper. In line with the design principles of…
Descriptors: Short Term Memory, Schemata (Cognition), Prior Learning, Cognitive Ability
Voight, Matthew; Apkarian, Naneh; Rasmussen, Chris – International Journal of Mathematical Education in Science and Technology, 2020
Precalculus and single-variable calculus courses are a critical early juncture for the success of science, technology, engineering, and mathematics (STEM) students in the United States (US). The default course structure is often a required three-term sequence of precalculus, differential calculus, and integral calculus. In this paper we analyse…
Descriptors: Undergraduate Students, Calculus, Mathematics Instruction, STEM Education
Adiredja, Aditya P. – International Journal of Mathematical Education in Science and Technology, 2021
A few case studies have suggested students' struggles with the "temporal order" of epsilon and delta in the formal limit definition. This study problematizes this hypothesis by exploring students' claims in different contexts and uncovering productive resources from students to make sense of the critical relationship between epsilon and…
Descriptors: Mathematics Instruction, Teaching Methods, Difficulty Level, Generalization