Philosophiae Doctor - PhD (Mathematics and Science Education)

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Browsing by Author "Faculty of Education"

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    Malawian secondary school students' learning of science: historical background, performance and beliefs
    (University of the Western Cape, 2006) Dzama, Emmanuel Nafe Novel; Kolstoe, Stein Dankert; Holtman, Lorna; Mikalsen, Oyvind; School of Science and Mathematics Education; Faculty of Education
    This study explored the problem of poor performance in science among students who are provided secondary school places on merit in Malawi. Existing studies of the problem are inconsistent suggesting that these studies may have shed light on some parts of a complex problem. Questionnaires, interviews and analysis of documents were used to obtain information concerning students’ conceptions of science, science learning and events that eventuated into the problem in the past. The population for this study was 89 government and governmentassisted secondary schools. From that population eighteen schools were randomly selected from each of the six education divisions in the country. One thousand five hundred secondary class 3 students drawn from randomly selected schools participated. The participating students completed a 31item learning beliefs and practices  questionnaire with items drawn from the science education literature and adapted to the local situation and a selfefficacy and attribution of failure questionnaire. Forty students were interviewed about their concepts of science and science learning. Relevant documents found in the Malawi National Archives were analyzed to determine the origin of the problem.
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    Prospective Zimbabwean "A" level mathematics teacher's knowledge of the concept of a function
    (University of the Western Cape, 2006) Nyikahadzoyi, Maroni Runesu; Mtetwa, David K.; Julie, Cyril; Torkildsen, Ole Einar; School of Science and Mathematics Education; Faculty of Education
    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 teacher’s 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.
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    The relevance of science education: as seen by pupils in Ghanaian junior secondary schools
    (University of the Western Cape, 2006) Anderson, Ishmael Kwesi; Sjøberg, Svein; Mikalsen, Øyvind; Julie, Cyril; School of Science and Mathematics Education; Faculty of Education
    This thesis was based on a larger international comparative study called the ROSE (Relevance of Science Education) project. The study investigated the affective factors pupils perceive might be of relevance for the learning of science and technology using the ROSE survey questionnaire, and was aimed at providing data that might form part of an empirical basis for local adaptation of the science curriculum.