published_or_final_version / Architecture / Master / Master of Architecture

published_or_final_version / Education / Master / Master of Education

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With the introduction in 2006 of the school subject Mathematical Literacy (ML) in the further Education and Training band, there have been expectations that such a subject will develop responsible citizens, contributing workers and self-managing people. The extent to which the subject can meet these aims is dependent on the ways in which the subject is assessed which influences the focus of ML in the classrooms. With this in mind, this study set out to explore the ways in which a class of Grade 12 learners engaged with a preparatory examination designed and administered by the KZN Department of Education. This is a qualitative study carried out with seventy-three grade 12 mathematical literacy learners from an urban school in North Durban. The purpose of this research is to explore the learners’ engagement with the examination tasks, thereby identifying possible factors which influence learners’ success in these items. Data were gathered from a document analysis of the 2009 KZN Trial Examination question paper and marking memorandum; 73 learners’ written responses to the examination tasks, and interviews with ten of these learners. The purpose of the document analysis was to identify contexts in which learners performed well or poorly, as well as to assess the design of the instrument. Semi-structured interviews were conducted individually with ten learners and video recorded. The purpose of the interviews was to explore some of the factors which influenced their written responses. The findings revealed that the task design was problematic for learners in terms of the order of the questions and the placement of the crucial information necessary to answer the questions. Some tasks also contained errors. The complexity of the scenario in terms of the amount of information, the language used, and the presence of distracters further influenced the way in which learners responded to the task. Learners’ personal experience of the context also affected the way they interpreted and responded to the task. Factors that constrained learners’ success in the examination task included poor conceptual understanding, misconceptions and language-related misinterpretation. It was also found that learners did not consider it a priority to make sense of the context: they focused on identifying formulae or information that could be used to present answers with little concern about the reasonableness of their responses. Some strategies used by learners in responding to the task included number grabbing, guessing without checking, scanning for crucial information and assumption-making. The study recommends that provincial examination papers be subject to the same stringent moderation requirements of the national examinations. It also recommends that should diagrams be used, they must be relevant to the context and should not conflict with the subject matter. The use of contexts should cater for alternate answers and multiple approaches and the marking memorandum should be flexible to accommodate these multiple approaches. Care must be taken in the presentation and placement of crucial information, so that learners do not miss the information they need to answer the questions. When familiar contexts are being used, task designers should also consider whether learners’ everyday experiences may conflict with these scenarios. / Thesis (M.Ed.)-University of KwaZulu-Natal, Edgewood, 2011.

Proportionality is the content domain of mathematics that is rooted in ratio and proportion. It is believed to be vital for problem solving and reasoning, which are key cognitive domains of mathematics teaching and learning. Hence, ratio and proportion forms part of curricula for all countries. Studies carried out in different parts of the world found that while learners can do simple and routine manipulations of ratio and proportion, they struggle to solve problems that involve these concepts. Researchers apportion the blame for this to the strategies that learners use to solve the problems. Researchers found that learners use flawed strategies due to misconceptions that learners have on ratio and proportion. The purpose of the study is to explore learner errors and misconceptions on ratio and proportion. A test that comprised of questions that are appropriate to the National Curriculum Statement (NCS), for General Education and Training (GET) band, was used to collect data. Items in the instrument were selected and adapted from a tool used in Concepts in Secondary Mathematics and Science (CSMS) study. The participants in the study are 30 Grade 9 learners from a rural school in KwaZulu-Natal (KZN). The findings of the study are that learners have a limited knowledge and understanding of ratio and proportion, hence their performance in items on the topic is poor. A great proportion of the learners have serious misconceptions of ratio and proportion. They use incorrect strategies to solve problems on ratio and proportion that produce errors. The errors and misconceptions they exhibit are not different from those observed by similar studies conducted in other parts of the world. The study recommends a structured focus on ratio and proportion because the topic is fundamental to proportional reasoning. It recommends clarity for teacher trainers, textbook writers and teachers on what learners need to learn on ratio and proportion. It recommends serious exploration of errors and misconceptions on ratio and proportion, and a teaching approach that considers errors and misconceptions as opportunities for learning. / Thesis (M.Ed.)-University of KwaZulu-Natal, Edgewood, 2012.

This research project focuses on Accounting education at tertiary level. There is limited understanding of students' experiences of learning Accounting in higher education institutions. Furthermore, Accounting is generally perceived as a difficult discipline, especially for novice first-year, non-major Accounting students. In this research study the purpose and focus were to explore first-year, non-major Accounting students' experiences when learning Accounting. The study attempts to answer two key research questions pertaining to first-year, non-major Accounting students' experiences when learning Accounting, and to show how their experiences influence their learning of Accounting. The study was conducted at a private higher education institution in South Africa where first-year Accounting is a compulsory element of an undergraduate commerce degree. The research participants sampled for this study were six first-year, non-major Accounting students, some of whom were novice Accounting students while others had studied Accounting in high school up to Grade 12. A qualitative research methodology was adopted to generate data using an interpretive case study approach. Research methods included semi-structured interviews and participant reflective journals. Data were analysed using open coding, and the findings categorised according to themes. Some of the key findings of this study revealed that students' experiences were influenced by teacher/lecturer qualities, students' perceptions and preconceptions of Accounting as a discipline, and the abstract nature of the Accounting discipline and its discourse. Other factors influencing students' learning experiences included their agency, resilience and determination, the effect of Accounting assessments, and ability streaming. This study concludes with a discussion of recommendations based on the findings. These point to the need for staff development workshops for Accounting lecturers, with an emphasis on students' emotions and perceptions when learning Accounting, so that lecturers are more aware of the extent of students' anxieties, insecurities and negative perceptions. Other recommendations include more post-plenary workshops for first-year Accounting students and development of different programmes for novice, non-major and Accounting major students, since these cohorts of students have differing career Accounting competence expectations. / Thesis (M. Ed.)-University of KwaZulu-Natal, Durban, 2012.

The proposed research is about the introduction of Continuous Assessment (CA) in Grade 12 Higher Grade Mathematics, as part of the learner's overall assessment. Schools are required by policy laid down by the Department of Education to implement CA in Grade 12 Mathematics. The introduction of CA is a new development. It is important to study how it is being implemented and the effect it has on the quality of Mathematics Education. The goals of this research are to: • investigate Grade 12 Mathematics teachers' understanding and views of CA; • the strategies that they are implementing in CA; • how CA is impacting on the conceptual understanding of their learners and • to what extent are teachers' assessment practices consistent with the Rationale of Continuous Assessment? The data was collected by means of a questionnaire which consisted of both close-ended and semi-structured questions. The Statistical Package for the Social Sciences (SPSS) was used to analyze the quantitative data. The findings show that continuous assessment is not being implemented in terms of a wide range of alternate assessment strategies as it was intended to be, with pen and paper testing still being the more dominant practice. The findings also show that whilst Continuous Assessment is having a measured educational impact on teachers and learners, there are still problems experienced by educators. These problems are hampering its implementation. Teachers require more workshops on the Continuous Assessment strategies. / Thesis (M.Ed.)-University of Durban-Westville, 2004.

This thesis investigates the mathematical cognitive errors made in elementary calculus concepts by first-year University of Technology students. A sample of 34 first year students, the experimental group, from the Durban University of Technology Faculty of Engineering were invited to participate in project in elementary calculus using computer technology (CT). A second group, the control group, also consisted of 34 first year engineering students from the same University were given a conventional test in elementary calculus concepts. The experimental group was then given the same conventional test as the control group on completion of the project in elementary calculus using computer technology (CT). The purpose of the analysis was to study the effect of technology on the understanding of key concepts in elementary calculus. The major finding was that technology helps students to make connections, analyse ideas and develop conceptual frameworks for thinking and problem solving. The implications include: • Improvement of curriculum in mathematics at tertiary level; • New strategies for lecturers of elementary calculus; • An improved understanding by students taking the course in elementary calculus. • Redesign of software to improve understanding in elementary calculus. / Thesis (M.Ed.)-University of KwaZulu-Natal, Durban, 2007.

This study describes first and second year university physics students' understanding and reasoning of the concepts, angular speed and angular acceleration. The analysis was based on student responses to various tasks presented to them during one hour long interviews. These responses were characterized from a phenomeno graphic research perspective developed by Marton (1981) and his colleagues at Gothenburg University in Sweden. The findings of the study are described by categories of description and by categories of reasoning. Categories of description characterize; students' conceptualizations of angular speed from different frames of reference, and the ways in which students make comparisons of the angular speeds of two objects. Categories of reasoning characterize the ways in which students were thought to reason about the concepts of angular speed and angular acceleration in several task settings. Interpretation of these findings are discussed with reference to the role a typical introductory physics textbook may have had in shaping the way in which students think about these angular kinematic concepts. Finally, instructional implications and directions for future research are given.

This study explores the effects of intercultural training from the perspectives of learners and facilitators. Three central questions are addressed: How does participation in an intercultural studies program affect the way learners approach intercultural interactions? How do learners engage learning between the educational and practice contexts? What are the implications for program planning? In-depth interviews were conducted with eleven learners and eight facilitators from a certificate program in intercultural studies at a Canadian university. The program is delivered through a combined on-site and online format. With its emphasis on practice-based learning, this program offered a unique opportunity to explore learner change and the application of learning in the workplace. This study was undertaken to inform program planning for intercultural training. The conceptual resources that guided the study are frameworks for program planning and transfer of learning. Perceived learner change as a result of training is explored through multiple lenses of transfer, including application (engaging and creating knowledge in practice) and diffusion (sharing ideas with others formally and informally in the workplace). Factors that contribute to engagement of learning between the practice and training contexts include the integration of theory and practice and the building of an online learning community. The study explores the concept of emotional safety, the impact of identity and representation on intercultural interactions within the training context, and the challenges of facilitating difficult dialogues related to race, power and identity. This study is situated within the larger context of the field of intercultural training. This is contested terrain comprised of two major streams: international and domestic training. Domestic training is represented by three frameworks: diversity, multicultural and anti-racism training. The study indicates that learning is influenced by the degree to which analyzing power or respecting differences is emphasized in the exploration of intercultural interactions. The study concludes with suggested reflective questions for planners of intercultural programs.