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Showing 1 to 15 of 28 results Save | Export
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Mutambara, Lillias; Bansilal, Sarah – African Journal of Research in Mathematics, Science and Technology Education, 2019
This exploratory study investigated 10 pre-service mathematics students' understanding of vector subspaces at a university in Zimbabwe. The study involved an in-depth document analysis of the students' written responses to five items based on the vector subspace concept. An APOS (Action--Process--Object--Schema) approach was used to identify the…
Descriptors: Preservice Teachers, Mathematics Teachers, Mathematical Concepts, Concept Formation
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Vermeulen, Cornelis; Meyer, Bronwin – African Journal of Research in Mathematics, Science and Technology Education, 2017
This article reports on a study that investigated the extent to which 57 Grade 6 students at a particular school have misconceptions regarding equality, with the equal sign as focus. It also investigated this school's three Grade 5 and 6 teachers' mathematical knowledge for teaching regarding equality, again focusing on the equal sign. The…
Descriptors: Elementary School Students, Middle School Students, Grade 6, Mathematics Education
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Price, Charmaine; van Jaarsveld, Pieter – African Journal of Research in Mathematics, Science and Technology Education, 2017
This article reports on using open-response questions to reveal the level of, and change in, conceptual understanding of a small sample of Grade 11 learners of trigonometry in a South African high school. The investigation used learner response sheets in a regular classroom with the teacher as researcher. Combining the idea of concept image and…
Descriptors: Trigonometry, Mathematics Education, Foreign Countries, Grade 11
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Phage, Itumeleng B.; Lemmer, Miriam; Hitge, Mariette – African Journal of Research in Mathematics, Science and Technology Education, 2017
Students' graph comprehension may be affected by the background of the students who are the readers or interpreters of the graph, their knowledge of the context in which the graph is set, and the inferential processes required by the graph operation. This research study investigated these aspects of graph comprehension for 152 first year…
Descriptors: Foreign Countries, Graphs, Comprehension, Cognitive Processes
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Herzog, Moritz; Ehlert, Antje; Fritz, Annemarie – African Journal of Research in Mathematics, Science and Technology Education, 2017
Although the general development of mathematical abilities in primary school has been the focus of many researchers, the development of place value understanding has rarely been investigated to date. This is possibly due to the lack of conceptual approaches and empirical studies related to this topic. To fill this gap, a theory-driven and…
Descriptors: Models, Number Concepts, Foreign Countries, Grade 2
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Davis, Zain – African Journal of Research in Mathematics, Science and Technology Education, 2016
Anthropological approaches to studying the contextual specificity of mathematical thought and practice in schools can productively inform descriptions and analyses of mathematical practices within and across different teaching and learning contexts. In this paper I argue for an anthropological methodological orientation that takes into…
Descriptors: Anthropology, Elementary School Mathematics, Mathematics Instruction, Teaching Methods
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Kazunga, Cathrine; Bansilal, Sarah – African Journal of Research in Mathematics, Science and Technology Education, 2016
Ratio and proportion have many daily life applications and hence form an important part of the Mathematical Literacy (ML) curriculum in South African schools. The purpose of this study was to explore ML teachers' application of ratio in an assessment task with multiple measure spaces set within the real-life context of the need to establish the…
Descriptors: Foreign Countries, Mathematics Instruction, Teaching Methods, Mathematical Concepts
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Mhlolo, Michael Kainose – African Journal of Research in Mathematics, Science and Technology Education, 2016
The concept of pattern recognition lies at the heart of numerous deliberations concerned with new mathematics curricula, because it is strongly linked to improved generalised thinking. However none of these discussions has made the deceptive nature of patterns an object of exploration and understanding. Yet there is evidence showing that pattern…
Descriptors: Pattern Recognition, Mathematics Instruction, Grade 11, Algebra
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Naroth, Charmon; Luneta, Kakoma – African Journal of Research in Mathematics, Science and Technology Education, 2015
This paper reports on the findings from individual interviews and focus group discussions involving six teachers implementing the Singapore Mathematics Curriculum (SMC) in the Foundation Phase (Grade R to Grade 3) in a school in South Africa. The interviews presented an opportunity to explore teachers' experiences with their attempts to use the…
Descriptors: Mathematics Curriculum, Mathematics Instruction, Curriculum Implementation, Teaching Methods
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Stols, Gerrit; Long, Caroline; Dunne, Tim – African Journal of Research in Mathematics, Science and Technology Education, 2015
The purpose of this study is to apply the Rasch model to investigate both the Van Hiele theory for geometric development and an associated test. In terms of the test, the objective is to investigate the functioning of a classic 25-item instrument designed to identify levels of geometric proficiency. The dataset of responses by 244 students (106…
Descriptors: Item Response Theory, Geometry, Geometric Concepts, Mathematical Concepts
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Dimitriou-Hadjichristou, Chrysoula; Ogbonnaya, Ugorji I. – African Journal of Research in Mathematics, Science and Technology Education, 2015
This paper reports a study on the effect of using the Lakatosian heuristic method to teach the surface area of a cone (SAC) on students' achievement according to Bloom's taxonomy levels. Two groups of students (experimental and control) participated in the study. The experimental group (n = 20) was taught using the Lakatosian heuristic method…
Descriptors: Heuristics, Teaching Methods, Geometry, Geometric Concepts
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Stols, Gerrit; Ono, Yumiko; Rogan, John – African Journal of Research in Mathematics, Science and Technology Education, 2015
Beliefs help shape how teachers perceive effective mathematics teaching. Providers of professional development, be they local or from other countries, need to be cognisant of such perceptions. This paper seeks to answer the question, "What do South African teachers perceive as effective and ineffective teaching for developing conceptual…
Descriptors: Mathematics Instruction, Teacher Attitudes, Foreign Countries, Curriculum Implementation
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Ndlovu, Zanele; Brijlall, Deonarain – African Journal of Research in Mathematics, Science and Technology Education, 2015
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 when learning matrix algebra concepts leads to improved instructional methods. In this preliminary study the data was collected from 85 pre-service teachers…
Descriptors: Preservice Teachers, Mathematics Instruction, Algebra, Teaching Methods
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Brown, Bruce J. L. – African Journal of Research in Mathematics, Science and Technology Education, 2014
Mathematical engagement is a complex process of interaction between the person and the world. This interaction is strongly influenced by the concepts and structure of the mathematical field, by the practical and symbolic tools of mathematics and by the focus of investigation in the world. This paper reports on research that involves a detailed…
Descriptors: Interaction, Mathematics Instruction, Learner Engagement, Graduate Students
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Mbonambi, Martin Sipho; Bansilal, Sarah – African Journal of Research in Mathematics, Science and Technology Education, 2014
The purpose of this study was to explore and compare the proficiency of Grade 11 Mathematics and Mathematical Literacy (ML) learners in solving two problems based on the temperature conversion formula. The first was a result-unknown problem that asks for the result of a formula for a given input. The second was a start-unknown problem in which the…
Descriptors: Foreign Countries, Grade 11, Secondary School Students, Mathematics Instruction
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