Background: Initial teacher education (ITE) research in South Africa shows gaps in preservice teachers' (PSTs) primary mathematics knowledge. Aim: We study the mental mathematics understandings and teaching experiences of three PSTs who achieved high gains for learners they taught mental mathematics to using the Mental Starters Assessment Project…

Cognitive abilities are fundamental for decision-making, and understanding the causes of human capital depreciation in old age is especially important in an aging society. Using a longitudinal labor survey that collects direct proxy measures of cognitive skills, we study the effect of educational attainment on cognitive performance in late…

This research describes the results of a national survey of entrepreneurial mindset conducted with 3,194 randomly selected individuals in a representative national sample. Several other measures of entrepreneurial personal characteristics appear in the literature. These include the Entrepreneurial Attitude Orientation measure (cf. EAO, Robinson,…

This study explored the mental constructions displayed by pre-service mathematics teachers (PMTs) when applying Cramer's rule. The aim was to reveal the character of mental constructions made around the nature of the solution set of equations and the role of parameters in the solution of equations with parametric coefficients. These mental…

Certain tasks are more likely to be solved by groups than by individuals, even when the individuals are highly skilled at aspects of the task. These are tasks such as filling out income tax forms or performing surgical operations, for which inputs from several individuals who have complementary domains of knowledge and skill are needed. I refer to…

This study's focus was two-fold, first to look at forms of gestures teachers of multilingual mathematics classes use during teaching; and second to find out how teachers of multilingual mathematics classes utilize learners' home language, language of learning and teaching and gestures to foster understanding in the teaching of mathematics. This…

This article reports on a study which used the APOS (action-process-object-schema) theoretical framework to investigate university students' understanding of derivatives and their applications. Research was done at the Westville Campus of the University of KwaZulu-Natal in South Africa. The relevant rules for finding derivatives and their…

The extensive empirical research inspired by Piaget and Vygotsky's theories of make-believe play has been criticised for restricting data to Western, urban, middle-class children. We seek to redress this bias by researching the traditional black South African Pedi children's game Masekitlana. Our data relies on embodied memories enacted by Mapelo…

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'…

Many adults with disabilities in South Africa never had a chance to attend school or dropped out at an early age because of poverty and discrimination. This article investigates the attitudes and experiences of adults with disabilities regarding education. It draws on an interactional model of disability and an embodied understanding of cognition…

This article about the discourse of pedagogy as related to child cognition in mathematics addresses the issue of what constitutes the main disciplinary content and the pedagogical content knowledge (PCK) of foundation-phase teachers. I argue that, unless child cognition itself is the primary disciplinary content of foundation-phase teacher's…

A growing body of research has emphasized the important role that prior knowledge, experience, beliefs and attitudes play in the interpretation of policy reforms. Spillane, Reiser and Reimer (2002) assert that teachers use their prior knowledge in making sense of new directives to change their practice, pointing out how teachers arrive at…

Interviewed 10 students in a secondary school teacher education program to determine the students' understandings of environment. Four conceptualizations of environment were portrayed: social, political, bio-physical, and inclusive. Four conceptualizations of human-nature relationships were described: connected, separate,…