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High school learners' mental construction during solving optimisation problems in Calculus: a South African case study
This qualitative case study in a rural school in Umgungundlovu District in KwaZulu-Natal, South Africa, explored Grade 12 learners’ mental constructions of mathematical knowledge during engagementExpand
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Analysing engineering students’ understanding of integration to propose a genetic decomposition
Abstract This paper reports on a study which explored engineering students’ understanding of the techniques of integration in calculus. There were 30 first year engineering students who participatedExpand
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Exploring the Pedagogical Content Knowledge for Teaching Probability in Middle School: A South African Case Study
TLDR
This paper reports on an exploration into in-service teachers’ pedagogical content knowledge required for the delivery of lessons in probability. Expand
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Pre-service Mathematics Teachers’ Mental Constructions of the Determinant Concept
TLDR
This study aims to reveal the nature of mental constructions made by pre-service teachers whenlearning the determinant concepts and to contribute to APOS theory (Action, Process, Object and Schema) interms of instructional strategies. Expand
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Pre-service Teachers’ Mental Constructions of Concepts in Matrix Algebra
This study is part of ongoing research in undergraduate mathematics education. The study was guided by the belief that understanding the mental constructions the pre-service teachers make whenExpand
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Using an inductive approach for definition making: Monotonicity and boundedness of sequences
The study investigated fourth–year students’ construction of the definitions of monotonicity and boundedness of sequences, at the Edgewood Campus of the University of KwaZulu –Natal in South Africa.Expand
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Improving Proficiency in Mathematics through Website-based Tasks: A Case of Basic Algebra
Understanding how university students make sense of mathematics is always of concern to their lecturers. A group of lecturers at a South African university studied written responses of first yearExpand
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Collaborative learning in a multilingual class
TLDR
The solving of word problems dealing with fractions was investigated. Expand
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Preservice mathematics students' notions of the concept definition of continuity in calculus through collaborative instructional design worksheets
Abstract The aim of this research was to develop second-year preservice mathematics students' advance notion of the concept definition of continuity of single-valued functions in differentialExpand
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An exploration of the common content knowledge of high school mathematics teachers
Many studies point to the problem of poor mathematics content knowledge of mathematics teachers in South Africa. The purpose of this study was to investigate teachers' knowledge of the mathematicsExpand
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