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Iwuanyanwu, Paul Nnanyereugo; Ogunniyi, Meshach Bolaji – African Journal of Research in Mathematics, Science and Technology Education, 2020

The aim of the study was to determine the effects of a dialogical argumentation instructional model (DAIM) on pre-service teachers' ability to solve conceptual maths-in-physics (MIP) problems. Using a quasi-experimental design the study included two equal groups of pre-service teachers (N = 40) to follow two instructional methods in which the…

Descriptors: Persuasive Discourse, Teaching Methods, Instructional Effectiveness, Preservice Teachers

Moru, Eunice Kolitsoe – African Journal of Research in Mathematics, Science and Technology Education, 2020

The derivative is a central concept in calculus and has applications in many disciplines. This study explored students' understanding of derivatives with a particular focus on the graphical (geometric) representation. The participants were four Mathematics Honours students from a university in Lesotho. Data were generated from the written…

Descriptors: Foreign Countries, Mathematics Instruction, Calculus, Mathematical Concepts

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

Bowie, Lynn; Venkat, Hamsa; Askew, Mike – African Journal of Research in Mathematics, Science and Technology Education, 2019

The Primary Teacher Education (PrimTEd) project was established in response to concerns about the pre-service preparation of primary teachers in South Africa. In order to inform the development of appropriate pre-service mathematics courses, an initial need in the PrimTEd project was to establish the nature of the mathematical knowledge of…

Descriptors: Foreign Countries, Preservice Teachers, Mathematics Teachers, Pedagogical Content Knowledge

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

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

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

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

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

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

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

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

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

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

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