Laplace transform (LT) is an essential mathematical tool for solving linear ordinary differential equations (ODE) with boundary values, by transforming differential equation into algebraic equations which are easier to manipulate. In this article, we analyse the errors students make and misconceptions they have in solving linear ODE using LT…

This study, using a quantitative approach, examined Spanish and South African pre-service teachers' responses to translating word problems based on direct proportionality into equations. The participants were 79 South African and 211 Spanish prospective primary school teachers who were in their second year of a Bachelor of Education degree. The…

Background: Pre-service teachers (PSTs) training does not equip students with adequate skills and knowledge of geometry to enable them to teach this section of mathematics competently. Inadequate teacher knowledge of transformation geometry, in particular, requires intervention that targets PSTs' faulty reasoning displayed in errors they make.…

Many pre-service mathematics teachers in South Africa are apprehensive about the content of Euclidean geometry, because they did not study Euclidean geometry in high school but will be expected to teach the content when they start their teaching career. This article reports on a study that explored the role of semiotic representations in…

When the National Benchmark Tests (NBTs) were first considered, it was suggested that the results would assess entry-level students' academic and quantitative literacy, and mathematical competence, assess the relationships between higher education entry-level requirements and school-level exit outcomes, provide a service to higher education…

Background: This article reports on an analysis of errors that were displayed by students who studied mathematics in Chemical Engineering in derivatives of mostly trigonometric functions. The poor performance of these students triggered this study. The researcher (lecturer) works in a mathematics support programme to enhance students'…

There is increasing acknowledgement that teachers' knowledge for teaching mathematics is multifaceted and topic specific. Given the paucity of research on the teaching and learning of financial mathematics in general, little can be known about teachers' knowledge for teaching compound interest. However, since financial mathematics is a component…

This article illustrates the experience of introducing e-assessment to a foundational ICT networking course for a "large" group of first-year students at a South African Higher Education Institution. The study employed a mix of participatory action research, systems design, and survey (quantitative and qualitative) analysis over an…

This paper reflects on the difficulties students have in understanding, designing and constructing electrical circuits through an analysis of errors they have made in drawing wiring and circuit diagrams. Prior to wiring a model house, a sample of 114 primary school teacher trainees were taken through a programme of instruction in current…

The study reports on challenges related to the use of the language of attribution in academic essay writing by Post-Graduate Certificate in Education (PGCE) students at Rhodes University, as a microcosm of similar challenges faced by university students elsewhere. The study content-analysed 150 essays written by 50 PGCE students taking the course…

Computer Programming forms the basis from which most students in the IS/IT discipline launch themselves into further endeavors in the discipline. However, statistical analysis of students' performances in programming related assessments tasks reveals that the mastery of computer programming skills is not easily acquired. This assertion is…