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Direct linkBurns-Childers, Annie; Vidakovic, Draga – International Journal of Mathematical Education in Science and Technology, 2018
The purpose of this study was to gain insight into 30, first year calculus students' understanding of the relationship between the concept of vertex of a quadratic function and the concept of the derivative. APOS (action-process-object-schema) theory was applied as a guiding framework of analysis on student written work, think-aloud and follow up…
Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Protocol Analysis
Download full textPurnomo, Dwi; Nusantara, Toto; Subanji; Rahardjo, Swasono – International Education Studies, 2017
This article is the result of research aims to describe the patterns and characteristics of the process of metacognition student of mathematics in solving calculus problems. Description was done by looking at changes in "awareness," "evaluation," and "regulation" as components of metacognition. The changes in…
Descriptors: Calculus, Metacognition, Problem Solving, Mathematics Activities
Maharaj, Aneshkumar – REDIMAT - Journal of Research in Mathematics Education, 2014
This article reports on a study which used the APOS (action-process-object-schema) Theory framework and a classification of errors to investigate university students' understanding of the integration concept and its applications. Research was done at the Westville Campus of the University of KwaZulu-Natal in South Africa. The relevant rules for…
Descriptors: Foreign Countries, Undergraduate Students, College Mathematics, Mathematics Instruction
Jukic, Ljerka; Brückler, Franka Miriam – Issues in the Undergraduate Mathematics Preparation of School Teachers, 2014
This paper reports a study on retention of core concepts in differential and integral calculus by examining the knowledge of two pre-service mathematics students. The study is conducted using a mixed method approach and the obtained data were analyzed using theory of three worlds of mathematics. The results showed that having good understanding of…
Descriptors: Preservice Teachers, Calculus, Knowledge Level, Recall (Psychology)
Jukic Matic, Ljerka; Dahl, Bettina – International Journal of Mathematical Education in Science and Technology, 2014
This paper reports a study on retention of differential and integral calculus concepts of a second-year student of physical chemistry at a Danish university. The focus was on what knowledge the student retained 14 months after the course and on what effect beliefs about mathematics had on the retention. We argue that if a student can quickly…
Descriptors: Calculus, Mathematical Concepts, College Students, Concept Formation
Code, Warren; Merchant, Sandra; Maciejewski, Wes; Thomas, Matthew; Lo, Joseph – International Journal of Mathematical Education in Science and Technology, 2016
One goal of an undergraduate education in mathematics is to help students develop a productive disposition towards mathematics. A way of conceiving of this is as helping mathematical novices transition to more expert-like perceptions of mathematics. This conceptualization creates a need for a way to characterize students' perceptions of…
Descriptors: Mathematics, Mathematics Instruction, Attitudes, Undergraduate Students
