Philosophiae Doctor - PhD (Mathematics and Science Education)

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https://hdl.handle.net/10566/10536

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Browsing by Author "Julie, Cyril"

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    Preferred contexts of Korean youth for the learning of school mathematics (grades 8-10)
    (2012) Kim, Sun Hi; Julie, Cyril; Holtman, Lorna; Mbekwa, Monde
    This study investigated real life situations which learners in South Korea grade 8-10 learners would prefer to be used in school mathematics.This thesis is based on the ROSMEII (Relevance of School Mathematics ducation) questionnaires and interviews, which was used to examine the preferred mathematical learning contexts for South Korean grade 8-10 learners. The study investigates the affective factors that pupils perceive to be of possible relevance for the learning and teaching of mathematic; and is aimed at providing data that might form part of a basis for a local theory of the mathematics curriculum. The standardized ROSMEII survey questionnaire of 23closeended items that relate to some aspects of mathematics on a 4-point Likert-type scale was administered to Korean grade 8-10 learners at the end of compulsory schooling, and mainly 14 to 16 year old cohorts. The data for this study were collected from a sample of 1839 learners drawn from 26 South Korean schools in the year 2009. Interviews were conducted to gauge the pupils‘ preference of the ROSMEII questionnaire contexts and used to validate learners‘ responses. In analyzing their responses, it became clear that, on the average, views expressed were common to all groups of pupils in South Korea (whether male or female, or from the metropolitan, city, or countryside). The clusters of the most preferred mathematical learning contexts are linked to youth culture, which learners are usually and easily engaged with in one way or another. These clusters include the sports, leisure and recreation cluster; planning a journey/popular youth culture cluster the technology cluster; the making of computer games, storing music and videos on CD‘s and Ipods. The lowest preferred mathematical learning contexts are: an agricultural cluster which focuses on agricultural matters and traditional games (yut). In conclusion, this study suggests that teachers should use contexts that increase learners‘ interest in classroom activities. Therefore mathematics curricula and textbooks which are appropriate to this context must be provided in order to provide more efficient mathematics education. It is imperative that the Korean school system must develop a particular program for nurturing learners‘ mathematical power. Furthermore, mathematics education policy makers must reconsider whether the current education system is appropriate, and also listen to learners‘ preferences when designing appropriate mathematics curriculum and textbooks.
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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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    Relevance of science education in Zimbabwe from the perspective of secondary school children - the voice of the learner about science and technology in a developing country
    (2011) Mavhunga, Francis Zvidzai; Sjøberg, Svein; Mikalsen, Øyvind; Julie, Cyril
    In all countries, regardless of culture and level of development, science and technology(S&T) are seen as key areas for further material development and welfare. A certain proportion of the population needs to develop S&T-related skills and competences at a high level. But also for the majority, who will not enter such careers, S&T are key subjects to master the challenges in everyday life and for full participation in democracy. In our efforts to make S&T attractive as careers and as a key subject for mastering challenges in everyday life, we need to know more about the interests, concerns and values of the learners.The study of Zimbabwean learners sought to find what students like to learn in science, their interest in science lessons, use of science principles in everyday life and what attitudes they have about the environment. Learners’ attitudes to S&T were also measured by an open ended question that sought their ideas on what they would like to research on if they were scientists.The empirical basis for this thesis is data collected with the ROSE instrument, developed by a team of international scholars in S&T education. Data used in this thesis is from twenty one secondary schools in Zimbabwe (N=734) targeting sixteen year old learners.Comparisons are made with twenty eight other countries.Factor analysis and descriptive statistics has been used to make comparisons of Zimbabwean and international trends.The Zimbabwean sample generally showed a mismatch between their expectations and realities of the science education curriculum. Results suggested that Science education was largely irrelevant to their needs and interests. Many out-of-class experiences were not explored in science classes. However, the sensitivity of learners to significant issues around their lives, such as AIDS and other diseases showed in their wish to research to cure those infected.The newly found voice of the learners will provide new insights on how to improve science education in Zimbabwe in such a way that it is able to meet the hopes, aspirations and the perceived interests, needs and priorities of the learners. Rapid developments in mundane applications of science and technology require that the curriculum negotiates a level that empowers learners to cope with a technologically driven world.For the development of capabilities to understand and use science and technology, either in daily life or study at higher levels the science education debate must periodically consider needs, views and concerns of the learners themselves among other stakeholders.
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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.
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    A teaching strategy to enhance mathematical competency of pre-service teachers at UWC
    (University of the Western Cape, 2017) May, Bruce Mathew; Julie, Cyril; Holtman, Lorna
    In this study a mixed methods approach was employed to investigate how exposure to a teaching strategy based on spiral revision, productive practice and a mainly direct expository instructional method would influence the mathematical competencies of procedural fluency and conceptual understanding of pre-service mathematics teachers at a South African university. A secondary concern of the study was how retention and transfer abilities of participants would be influenced if they experience mathematics through a teaching strategy underpinned by spiral revision and productive practice. A revised version of the taxonomy table of Anderson et al (2001) was utilized to classify learning and instructional activities in the study in terms of mathematical reasoning and knowledge requirements. In this revised taxonomy the cognitive processes are understood to operate on knowledge structures during the process of cognition (i.e. reasoning categories based on knowledge categories.). The categories of the revised taxonomy table were the main measuring instrument for the study. The findings of the study indicate that the competencies of procedural fluency and conceptual understanding were positively enhanced by the teaching strategy. Some categories however did not show the same level of positive enhancement. Arguments are presented as to why this might be the case and possible solutions are mooted. Findings also indicate that retention and near transfer abilities of participants were positively enhanced. Far transfer abilities were unchanged post intervention. Explanations are offered for this finding and possible resolutions are suggested.