The chain of progression from teacher education to qualification to classroom instruction and student engagement, and then to learning and achievement, is not as straightforward as often presented. Societal, political and economic pressures create either a positive climate or a stressful one for both teachers and students. Nevertheless it is safe…

South Africa participated in TIMSS from 1995 to 2015. Over these two decades, some positive changes have been reported on the aggregated mathematics performance patterns of South African learners. This paper focuses on the achievement patterns of South Africa's high-performing Grade 9 learners (n = 3378) in comparison with similar subsamples of…

Educational measurement is generally thought of as empirical, quantitative, and large-scale, whose purpose is to monitor educational systems. Sociocognitive studies, on the other hand, are associated with small-scale, theoretical, and qualitative studies, the purpose of which is to conduct fine-grained analysis of learning or teaching, or to…

In the transition years, Grades 7 to 9, the shift from natural numbers to rational numbers and the associated multiplicative concepts prove challenging for many learners. The new concepts, operations and notation must be mastered if the student is to thereafter rise to meet the challenges of algebra and more advanced and powerful mathematics. The…