Philosophiae Doctor - PhD / The purpose of the study was to investigate prospective 'A' level mathematics teachers' knowledge of the concept of a function. The study was a case study of six prospective Zimbabwean teachers who were majoring in mathematics with the intention of completing a programme leading to certification as secondary mathematics teachers. At the time of the study the six prospective teachers were in their final year of study. Prospective teachers' knowledge of the concept of a function was assessed through task-based interviews and reflective interviews. These interviews, which were done over a period of three months, were structured to capture the prospective teachers' subject matter knowledge and pedagogical content knowledge for teaching the concept of a function. The interviews were also meant to capture the prospective teachers' underlining pedagogical reasons for their choices of the examples, representations and teaching approaches when planning to teach the concept. As part of the study a theoretical framework for understanding prospective teachers' knowledge of the concept of a function was developed. The framework, which was developed, was used as an analytical tool in analyzing prospective teachers knowledge of the concept of a function. The results of the study indicated that the prospective teachers had a process conception of a function although some of them had given a set-theoretic definition of a function in which a function is perceived as a mathematical object. They also confined the notion of a function to sets of real numbers. Functions defined on other mathematical objects (for example, the differential operator and the determinant function) were not considered as functions by five of the six prospective teachers.

This study investigates the challenges experienced by teachers of music literacy in Zimbabwe, and is based on a case study of five primary schools in the city of Gweru. The research builds on a literature review of past studies on Zimbabwean music literacy teaching, and on a review of policy documents. Empirical data was collected through lesson observations, interviews with teachers and administrators, and the analysis of lesson plans. To validate the findings a method of triangulation was used. Results are presented in both narrative and tabular forms in this dissertation, and analysed inductively. Zoltan Kodály’s work informs the theoretical framework, as well as other African and Western music educators, including Dalcroze, Kwami, Nketia, and Suzuki. Consistent challenges recognized by all stakeholders include a lack of resources, inadequate teacher training, and the exclusion of music as an examination subject. Recommendations are provided by way of conclusion. / Art History, Visual Arts and Musicology / M. Mus.