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Manuel Santos-Trigo; Matías Camacho-Machín; Fernando Barrera-Mora – ZDM: Mathematics Education, 2024
The aim of this paper is to review recently calculus curriculum reforms and research studies that document what types of understanding students develop in their precalculus courses. We argue that it is important to characterize what difficulties students experience to solve tasks that include the use of foundational calculus concepts and to look…
Descriptors: Mathematics Instruction, Calculus, Barriers, Problem Solving
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Martínez-Planell, Rafael; Trigueros, Maria – ZDM: Mathematics Education, 2021
In this paper we present the results of a survey of research studies on the learning of multivariable calculus in a wide geographic spectrum. The goal of this study is to describe what research results tell us about students' learning of calculus of two-variable functions, and how they inform its teaching. In spite of the diversity of cultures and…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Concept Formation
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Kleiner, Israel – Educational Studies in Mathematics, 2001
Considers examples of aspects of the infinitely small and large as they unfolded in the history of calculus from the 17th through the 20th centuries. Presents didactic observations at relevant places in the historical account. (Author/MM)
Descriptors: Calculus, Cognitive Processes, Concept Formation, Higher Education