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Direct linkSwidan, Osama – International Journal of Mathematical Education in Science and Technology, 2020
This study sets for itself the task of constructing a learning trajectory for the fundamental theorem of calculus (FTC) that takes into account the interaction with an educational digital tool. Students were asked to explain the connections between interactive and multiple-linked representations in an educational digital tool, and to conjecture…
Descriptors: Calculus, Mathematics Instruction, Validity, Mathematical Logic
Download full textGraf, Edith Aurora; Peters, Stephanie; Fife, James H.; van Rijn, Peter W.; Arieli-Attali, Meirav; Marquez, Elizabeth – ETS Research Report Series, 2019
Learning progressions (LPs) describe the development of domain-specific knowledge, skills, and understanding. Each level of an LP characterizes a phase of student thinking en route to a target performance. The rationale behind LP development is to provide road maps that can be used to guide student thinking from one level to the next. The validity…
Descriptors: Mathematical Concepts, Learning Processes, Sequential Approach, Student Development
Swidan, Osama; Yerushalmy, Michal – International Journal of Research in Undergraduate Mathematics Education, 2016
In light of the recent growing interest in conceptual learning and teaching of calculus, and especially with the focus on using technological environments, our study was designed to explore the learning processes and the role played by multiple-linked representations and by interactive technological environment in objectifying the accumulation…
Descriptors: Mathematics, Mathematics Instruction, Mathematical Concepts, Concept Formation
Nagle, Courtney Rose – ProQuest LLC, 2012
The limit concept plays a foundational role in calculus, appearing in the definitions of the two main ideas of introductory calculus, derivatives and integrals. Previous research has focused on three stages of students' development of limit ideas: the premathematical stage, the introductory calculus stage, and the transition from introductory…
Descriptors: Mathematics Education, Calculus, Mathematical Concepts, High School Students
Hauger, Garnet Smith – 1997
Several studies have shown the difficulties students encounter in making sense of situations involving rate of change. This study concerns how students discover errors and refine their knowledge when working with rate of change. The part of the study reported here concerns the responses of four precalculus students to a task which asked them to…
Descriptors: Calculus, Error Correction, Graphs, Higher Education
Hoines, Marit Johnsen, Ed.;; Fuglestad, Anne Berit, Ed. – International Group for the Psychology of Mathematics Education, 2004
This document contains the second volume of the proceedings of the 28th annual conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Inclusion and Diversity". This volume features 65 research report papers: (1) Constructing Meanings and Utilities within Algebraic…
Descriptors: Foreign Countries, Teaching Methods, Student Characteristics, Research Tools
