<p>The purpose of the study was to investigate prospective &lsquo / A&rsquo / level mathematics teachers&rsquo / 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&rsquo / 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&rsquo / subject matter knowledge and pedagogical content knowledge for teaching the concept of a function. The interviews were also meant to capture the prospective teachers&rsquo / underlining pedagogical reasons for their choices of the examples, representations and teaching approaches when planning to teach the concept.</p> <p>As part of the study a theoretical framework for understanding prospective teachers&rsquo / 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.</p>

<p>The purpose of the study was to investigate prospective &lsquo / A&rsquo / level mathematics teachers&rsquo / 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&rsquo / 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&rsquo / subject matter knowledge and pedagogical content knowledge for teaching the concept of a function. The interviews were also meant to capture the prospective teachers&rsquo / underlining pedagogical reasons for their choices of the examples, representations and teaching approaches when planning to teach the concept.</p> <p>As part of the study a theoretical framework for understanding prospective teachers&rsquo / 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.</p>

Mkoba Teachers College is one of thirteen Primary school Teachers Colleges in Zimbabwe offering a University of Zimbabwe Diploma in Education programme comprising Theory of Education, Academic Studies, and Professional Studies. This study sought to investigate the validity of current assessment procedures in Professional Studies. Results of the study revealed historical influences upon assessment procedures at Mkoba. Over the years assessment has been by way of two course work assignments in Syllabus B, an end-of-year examination in Syllabus A, and a research of limited scope. The study tended to indicate the need to amplify the scope of assessment procedures beyond the two course work assignments, the end-of-year examination and the research of limited scope. Despite these indications, an analysis of certification results at Mkoba for the period 1976 to 1996 showed that 5955 good quality professionals were produced. The study thus declares assessment procedures at Mkoba Teachers College valid. / Teacher Education / M. Ed. (Didactics)

Mkoba Teachers College is one of thirteen Primary school Teachers Colleges in Zimbabwe offering a University of Zimbabwe Diploma in Education programme comprising Theory of Education, Academic Studies, and Professional Studies. This study sought to investigate the validity of current assessment procedures in Professional Studies. Results of the study revealed historical influences upon assessment procedures at Mkoba. Over the years assessment has been by way of two course work assignments in Syllabus B, an end-of-year examination in Syllabus A, and a research of limited scope. The study tended to indicate the need to amplify the scope of assessment procedures beyond the two course work assignments, the end-of-year examination and the research of limited scope. Despite these indications, an analysis of certification results at Mkoba for the period 1976 to 1996 showed that 5955 good quality professionals were produced. The study thus declares assessment procedures at Mkoba Teachers College valid. / Teacher Education / M. Ed. (Didactics)

Dissertation / Psychology of Education / M.Ed. (Psychology of Education)

Dissertation / Psychology of Education / M.Ed. (Psychology of Education)