School of Education
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Item School leadership: principals’ experiences of change and reward.(2009) Omar, Shabier.; Samuel, Michael Anthony.This study explores principals’ experiences of school leadership. Through synthesis of varying definitions of leadership, the conceptualisation of the three foci of leadership namely, “person, practice and context” offers an initial organisational framework for this study. The democratic South Africa provides the context of change which is operationalised around issues of the pass rate, desegregation and democratic school governance. The existing landscape of leadership theory is then grafted with the South African context of change to set up the theoretical framing of this study. This study is positioned differently from dominant leadership studies in that the leader (principal) is fore-grounded rather than the “practice” of leadership. An interpretive paradigm is invoked to facilitate the acknowledgement, activation and inter-woveness of the researcher’s dual positioning as researcher and as school principal. This ambivalent positioning creates a methodological paradox that simultaneously privileges and imprisons the production of knowledge. Coherent with the methodological choice of narrative methodologies, an award winning literary play “Copenhagen” is used as a creative representational device. This play highlights issues of “personal, political, moral and scientific” challenges which become key pivotal points with which to connect all the chapters of this study. Six principals of previously disadvantaged schools, facing similar challenges of leadership participate in this study. Narrative methodologies guides both the data production and data analysis strategies. It also intentionally focuses on “personal, political and moral” challenges. Lengthy interviews produce richly detailed co-constructed mindscapes of leadership. The voices of principals and their stories are represented as individualised “reconstructed career narratives”. These provide complex, themed and descriptive understandings of leadership at the first level. At the second level, the researcher’s voice becomes dominant while meshing together data, theory and first level analysis to provide cross-case analysis providing deeper insights into experiences of school leadership. These insights challenge the dominant theoretical landscape of leadership. The main finding of this study suggests that principals “personal” experiences re-define relationships between key components of the context of change and in this way determine understandings of leadership. Principals consider the pass rate to be most important at a systemic level. However, their “personal/biographic” experiences with regard to “validation” and “professional experience” mediate that consideration and influence particular understandings of leadership. Similarly, principals’ “personal” experiences together with institutional histories play a significant role in understanding leadership in relation to issues of desegregation (geography). Principals’ “personal” experiences also determine how democratic school governance is understood with regard to accountability, consultation and agenda constructions. Finally, leadership is understood to be intricately linked to the concept of reward. The “scientific” construct of a Trefoil knot is used to develop an explanatory model and posit the basis of a “Relational Reward Theory” of understanding leadership. The thesis concludes with a discussion of the implications of pushing back contextual, methodological and theoretical boundaries in understanding school leadership.Item Investigating middle management roles in implementing the new curriculum at Grade 10-12 level : a case of two schools in the KwaZulu-Natal Midlands.(2008) Nxumalo, Velile Nicholas.; Hugo, Wayne.; Grant, Carolyn.This research sought to investigate middle management‟s roles in implementing the new curriculum at grade 10 -12 levels; it involved a small qualitative study of two schools in the KwaZulu-Natal midlands. At a policy level, the role of middle managers at school level in South Africa has changed. The transformation of the curriculum in South Africa placed a need in all spheres of the education system to be flexible and innovative in accepting change. In fact this need for change is mostly required by the middle management of the schools who bear the brunt of working with teachers and learners in implementing the new curriculum. Hence this qualitative study was undertaken to investigate their roles. In investigating the topic the following three questions were considered as of critical importance in understanding middle managers roles in the new curriculum. The first question explored middle managers‟ main roles in implementing the new curriculum. Secondly it explored how middle managers responded to the current reform process at the FET level, and lastly it investigated how middle managers intertwined assessment in implementing the new curriculum. The review of the literature focused on curriculum implementation internationally and locally and also explored the role of the middle managers as leaders and managers in the curriculum implementation process. The study took place in two rural schools and participants included four middle managers (three heads of department and one principal). Data were collected using semi-structured questionnaires and interviews. A selection of documents (planning and teaching documents) was also collected for analysis. In a nutshell analysis revealed that endeavours were made towards the planning process. There was a presence of the subject framework, work schedule and the lesson plan. This indicated that the initial process of designing the learning programmes was being done. However, data revealed that middle managers fulfilled a management rather than leadership function. Their roles consisted largely of curriculum implementation processes at the expense of curriculum innovation and change. Barriers included a lack of time for proper planning and innovation due to a full teaching load as well as a lack of training by the Department of Education in the area of curriculum development and innovation.Item The role of the school management team in developing teacher leadership : the case of two public primary schools on the lower south coast of KwaZulu-Natal, South Africa.(2008) Ntuzela, Mzayifani Aaron.; Grant, Carolyn.The School Management Teams (SMTs) in South African schools hold formal positions of leadership within the school's organizational structure. Because of this, the SMTs carry the responsibility of ensuring that leadership is distributed to other colleagues irrespective of status or authority in the hierarchy. On the other hand, level one educators do not hold any formal leadership position, yet the Norms and Standards for Educators (2000) expects teachers to take on leadership roles, among others, that of a leader, manager and administrator. The aim of this study was to explore the roles of the SMTs in developing teacher leadership in their schools, and to examine how the SMTs and teachers understood and enabled teacher leadership. This study was conducted in two primary schools in KwaZulu-Natal, South Africa and was qualitative in nature. The study used different data collection techniques, that is, the semi-structured interviews with the SMT members at both schools and focus group interviews with all level one educators at both schools. The findings of this study indicated that it is true that the concept of teacher leadership is relatively new to the majority of researchers and educators in South Africa. The concept was also understood differently by different educators and the concept was associated in the first school with a discourse of delegated leadership as opposed to distributed leadership. In this school the SMT delegated unwanted duties to teachers, not with the aim of developing teachers as leaders, but with the intention of getting administrative assistance for technical and mundane tasks. Findings in the second school revealed that although the participants understood the concept in diverse ways, teacher leadership was indeed happening. In this school it was clear that although educators were not familiar with the concept, teacher leadership was happening within a context of dispersed distributive leadership. Using Grant's (2007) model of teacher leadership, in the first school in this study teacher leadership was restricted to Zone One where the teacher is only concerned with what is happening in his or her classroom. In the second school teacher leadership was understood to operate in Zone One, within the classroom but also operated within Zones Two, Three and Four as well. Policy silence on the roles of the SMTs in developing teachers as leaders was also evident from the responses of the SMT members at both schools. The issue of training of SMT members and teachers on the areas in which teachers want to become leaders and the lack of support programmes for teacher leadership was evident in this research study. Recommendations include the need to move away from the traditional way of thinking about leadership as a one-man task and realize that leadership should be distributed to other colleagues in order to develop them as leaders. By so doing, teachers in their schools can develop a sense of ownership since they will be working collegially and collaboratively towards whole school effectiveness and school improvement.Item Dynamics of dissipative gravitational collapse.(2008) Naidu, Nolene Ferrari.; Maharaj, Sunil Dutt.; Govender, Megandren.In this study we generate the matching conditions for a spherically symmetric radiating star in the presence of shear. Two new exact solutions to the Einstein held equations are presented which model a relativistic radiating sphere. We examine the role of anisotropy in the thermal evolution of a radiating star undergoing continued dissipative gravitational collapse in the presence of shear. Our model was the first study to incorporate both shear and pressure anisotropy, and these results were published in 2006. The physical viability of a recently proposed model of a shear-free spherically symmetric star undergoing gravitational collapse without the formation of a horizon is investigated. These original results were published in 2007. The temperature profiles of both models are studied within the framework of extended irreversible thermodynamics.Item Heads of departments' understandings of and their preparedness for their roles as curriculum managers : a case study of a rural primary school.(2008) Mbhele, Sihle Daniel Mthokoziseni.; Govender, Magesvari.This study investigates Heads of Department’s (HoDs’) understandings of their roles as curriculum managers and their level of preparedness for instructional support and supervision to educators in the implementation of Outcomes-Based Education (OBE) in schools. This is a qualitative case study focusing on one rural primary school in KwaZulu-Natal. There were nine participants comprising three HoDs and six randomly selected educators in the study. Data was collected by means of questionnaires, interviews, observation, and document analysis. The study examines HoDs’ understandings of their roles as curriculum managers and their perceptions about their levels of preparedness for curriculum management and supervision roles. In addition, an attempt is made to identify some of the professional development needs of HoDs in the context of OBE implementation in schools. The key findings that emerged from the research were that HoDs did not fully understand their curriculum management and supervision roles and were not adequately trained and prepared to fulfil their management and supervisory responsibilities. It was found that HoDs required professional development in the form of workshops, in-service training, networking or information sharing meetings and seminars to prepare them for their role as curriculum managers.Item The effects of campus environment on student development at Masvingo State University in Zimbabwe.(2008) Mudavanhu, Sarafina.; Searle, Ruth Lesley.The concept of campus environment and its implication to student development is important to any institution of higher learning and student affairs in particular.Item A simulation modeling approach to aid research into the control of a stalk-borer in the South African Sugar Industry.(2008) Horton, Petrovious Mitchell.; Sibanda, Precious.; Hearne, John W.; Conlong, Desmond Edward.; Apaloo, Joseph.The control of the African stalk borer Eldana saccharina Walker (Lepidoptera: Pyralidae) in sugarcane fields of KwaZulu-Natal, South Africa has proved problematical. Researchers at the South African Sugarcane Research Institute (SASRI) have since 1974 been intensively investigating various means of controlling the pest. Among the methods of control currently being investigated are biological control, chemical control, production of more resistant varieties and crop management. These investigations, however, require many years of experimentation before any conclusions can be made. In order to aid the research currently being carried out in the Entomology Department at SASRI (to investigate biological control strategies, insecticide application strategies and the carry-over decision), a simulation model of E. saccharina growth in sugarcane has been formulated. The model is cohort-based and includes the effect of temperature on the physiological development of individuals in each life-stage of the insect. It also takes into account the effect of the condition of sugarcane on the rate of E. saccharina infestation, by making use of output from the sugarcane growth model CANEGRO. Further, a crop damage index is defined that gives an indication of the history of E. saccharina infestation levels during the sugarcane’s growth period. It is linked to the physiological activity of the borer during the period spent feeding on the stalk tissue. The damage index can further be translated into length of stalks bored and hence the percentage of the stalk length bored can be calculated at each point in the simulation using the total length of stalks calculated in the CANEGRO model. Using an industry accepted relationship between percent stalks damaged and reduction in sucrose content of the crop, reductions in losses in the relative value of the crop when the various control measures are implemented can be compared. Relationships between the reduction in percent stalk length bored (and hence gains in the relative value of the crop) and the various control strategies are obtained.Item Exploring pre-service mathematics teachers' knowledge and use of mathematical modelling as a strategy for solving real-world problems.(2008) Dowlath, Eshara.Mathematical modelling is an area in mathematics education that has been much researched but conspicuously absent from the South African curriculum. The last few years have seen a move towards re-inclusion of mathematical modelling in the South African school curriculum. According to the National Curriculum Statement (2003a), “mathematical modelling provides learners with the means to analyse and describe their world mathematically, and so allows learners to deepen their understanding of Mathematics while adding to their mathematical tools for solving real-world problems”. The purpose of this study was to explore pre-service mathematics teachers’ conception of mathematical modelling and the different strategies that pre-service mathematics teachers use when solving real-world mathematics problems. This study further investigated pre-service mathematics teachers’ ability to facilitate the understanding of specific mathematical modelling problems. Twenty-one fourth year Further Education and Training students from the Faculty of Education, University of KwaZulu-Natal participated in this study. In order to obtain appropriate data to answer the research questions, the researcher designed three different research instruments. The open-ended questionnaire and the task-based questionnaire were administered to all the participants, whilst ten participants were chosen to be interviewed. The data that was collected was analysed qualitatively. The research findings emanating from this study suggested that pre-service mathematics teachers did not have a suitable working knowledge of mathematical modelling, but were nonetheless able to use their mathematical competencies to solve the three real-world problems that formed part of the task-based questionnaire. It was found that although the participants were aware of different strategies to solve these real-world mathematics problems, they choose to use the ones that they were most familiar with. It is hoped that this study would prompt more universities to include mathematical modelling courses in the curriculum for prospective mathematics teachers.Item An ecosystemic perspective on the raising of deaf children by hearing parents in South Africa : a mixed methods study.(2009) John, Vijialakshmi.; De Lange, Naydene.Deafness is one on the most common types of disability in South Africa with 90% of deaf children being born to hearing parents, many of whom are unprepared for the consequences of deafness. Since deafness is an invisible disability, the severity of its impact upon both the child and the family is often underestimated. The aim of this study was to explore the experiences of hearing parents raising deaf children. Thus, the primary research questions were: What are the experiences of hearing parents raising deaf children in South Africa, and how do various ecosystemic variables affect the way they manage their parenting role? This study was informed by the ecological systems theory which is the theoretical framework that underpins this study. The research paradigm shaping this study was pragmatism, while the strategy used was phenomenology. The mixed methods approach was employed, using both qualitative and quantitative approaches concurrently in a triangulation design. The findings emanating from the quantitative data served to complement the findings from the qualitative data. These findings were corroborated in the interpretation stage. The findings, representing the lived experiences of hearing parents raising deaf children, show that although the parenting experiences differ according to the unique circumstances in the family, school and community, there are several commonalities. These include issues associated with the diagnosis and parenting of deaf children. Some of these issues included the challenge of communicating with the deaf child, the financial burden, stigmatization from the general public, strained interpersonal relationships, concern about the child’s future, as well as lack of opportunities for the Deaf to study at tertiary institutions and limited employment opportunities for deaf persons. The findings from both sets of data reveal that, despite the resilience of participants, there is a need for formal support for parents from professionals in the community, as well as informal parental support from the family, friends, and community members, including other hearing parents raising deaf children, and the need for a central location to access information on deafness and related matters. Recommendations were made to address these issues, with a view to facilitating the emotional well-being of hearing parents raising deaf children, and consequently improving the quality of life of the deaf child and the family.Item Curriculum recontextualisation : a case study of the South African high school history curriculum.(2008) Bertram, Carol Anne.; Harley, Keneth Lee.; Hugo, Wayne.This thesis aims to answer the question: How is history knowledge contextualised into pedagogic communication? Empirically, it takes place at a specific point in the curriculum change process in South Africa, namely the period when the new curriculum for the Further Education and Training (FET) band was implemented in Grade 10 classrooms in 2006. The study is theoretically informed by a sociological lens and is specifically informed by the theories of Basil Bernstein, particularly his concepts of the pedagogic device, pedagogic discourse, pedagogic practice and vertical and horizontal knowledge structures. It is premised on the assumption that the official policy message changes and recontextualises as it moves across the levels of the pedagogic device. It tracks the recontextualisation of the history curriculum from the writers of the curriculum document to the actual document itself, to the training of teachers and the writing of textbooks and finally to three Grade 10 classrooms where the curriculum was implemented in 2006. The empirical work takes the form of a case study of the FET history curriculum. Data were collected from a range of different participants at different levels of the pedagogic device. It was not possible to interrogate all the sets of data with the same level of detail. As one moves up and down and pedagogic device, certain things come into focus, while other things move out of focus. Data were collected through interviews with the writers of the history curriculum, with publishers and writers of selected Grade 10 history textbooks and through participant observation of a workshop held by the provincial education department to induct teachers in the requirements of the new FET history curriculum. Data were collected in the Grade 10 history classrooms of three secondary schools in 2005 and 2006. The school fieldwork comprised video recording five consecutive lessons (ten lessons over two years) in each of the three Grade 10 classrooms, interviewing the history teachers and selected learners, collecting the test papers and assignment tasks and assessment portfolios from selected learners. The study uses the pedagogic device as both a theoretical tool, and a literary device for the organization of the thesis. Within the field of production, the study examines what is the discipline of history from the perspective of historians and of the sociologists of knowledge. History is a horizontal knowledge structure that finds its specialisation in its procedures. However, an historical gaze demands both a substantive knowledge base and the specialised procedures of the discipline. Within the Official Recontextualising Field, the study examines the history curriculum document and the writing of this document. The NCS presents knowledge in a more integrated way. The knowledge is structured using key historical themes such as power alignments, human rights, issues of civil society and globalisation. There is a move away from a Eurocentric position to a focus on Africa in the world. Pedagogically, the focus is on learning doing history, through engaging with sources. Within the Pedagogic Recontextualising Field, the major focus of the teacher training workshop was on working with the outcomes and assessment standards within the ‘history-as-enquiry’ framework. Textbook writers and publishers work closely with the DoE Guidelines and focus on covering the correct content and the learning outcomes and assessment standards. The three teachers within the field of reproduction taught and interpreted the curriculum in different ways, but the nature of the testing (focused primarily on sources) was similar as there are strong DoE guidelines in this regard. For Bernstein, evaluation condenses the meaning of the whole pedagogic device. This is even more so when the curriculum is outcomes-based. The assessment tasks that Grade 10 learners in this study were required to do had the appearance of being source-based, but they seldom required learners to think like historians, nor did they require them to have a substantial and a coherent knowledge base. The FET history curriculum is in danger of losing its substantive knowledge dimension as the procedural dimension, buoyed up by the overwhelming logic of outcomes-based education and the strongly externally framed Departmental assessment regulations, becomes paramount.Item School management teams' response to learners who are orphaned and vulnerable in the context of HIV and AIDS : a study of two rural senior secondary schools in KwaZulu-Natal.(2008) Khanare, Fumane Portia.; De Lange, Naydene.; Buthelezi, Thabisile M.No abstract available.Item Social rights of the children in the context of HIV/AIDS : what is the reality in the new democratic South Africa?(2008) Mpontshane, Nozipho Bethusile.; Muthukrishna, Anbanithi.South Africa's first democratic elections were held in 1994. Since then, the government has engaged itself in a process of reconstruction and development through the formulation of policies and legislation which are in line with the country‟s Constitution of 1996. Some of these policies and legislation pertain to the issue of children‟s human rights. This study, firstly, sought to analyze key South African policies and legislations related to children‟s rights that have emerged since 1994. These documents include, the Constitution of the Republic of South Africa of 1996; the Children‟s Act 38 of 2005; Education White paper 6: Building an Inclusive Education and Training Systems (Department of Education, 2001), the South African Schools Act 84 of 1996; and the National Policy on HIV/AID for learners and educators in public schools and students and educators in further education and training institutions (1999). Secondly, the study aimed to explore whether children‟s rights are a myth or reality in South Africa by analyzing secondary data gathered from a large scale research project conducted in the province of KwaZulu-Natal, titled “Mapping the Barriers to Basic Education in the context of HIV/AIDS”. The data were collected from teachers, learners in grade 3, 6 and 9; School Governing Bodies, parents, and organizations - non governmental and community based organisations working in the district. The study used an in-depth qualitative case study approach. The study involved formal and non-formal centres of learning and their communities from four community contexts: rural, deep rural, urban and peri-urban. The data set provides insight into the lives of children in these contexts. The findings suggest that several barriers experienced by children and their families to accessing their social rights embedded in key South African policy documents related to key themes that emerged in the study: risks and vulnerabilities; control, regulation and powerlessness; the commitment of quality education not being met; and childhood poverty.Item An investigation of knowledge and skill requirements for employment as a machine operator : a case study of a large textile company.(2008) Baatjes, Britt.; Rule, Peter Neville.This research, which took the form of a case study in a large textile factory, is primarily concerned with finding out if there is a link between a particular educational level (i.e. ABET level 4 Communications/Language and Mathematics) used as a measure for the first stage of selecting prospective employees as machine operators, and a hard skill (i.e. actually operating a machine). After conducting interviews with nine people in the workplace; doing observations of three machine operators performing their jobs, and analysing various documents, such as the tool used for assessment, I found there to be an incongruence between the ‘requisite’ knowledge and skills and the actual knowledge and skills needed – the language and maths’ competencies needed in order to be deemed ‘competent’ in the assessment are of a higher ABET level than the language and maths needed ‘on-the-job’. But, this research is not simply about language and mathematics competencies. It is also about the ‘new workplace’ that has emerged with the advent and spread of globalisation. My study looks at the appropriateness of the ‘measure’ used as an entry requirement for a job, and by so doing it explores issues of inclusion and exclusion, and power relations. My study is, therefore, located within the critical social science paradigm and I raise questions around issues of morality, ethics and social justice.Item The changing role of the health sciences librarians with the introduction of problem-based learning at the Nelson R. Mandela School of Health Sciences, University of KwaZulu-Natal.(2006) Moodley, Kunnagie Ramasamy.; Searle, Ruth Lesley.From 1950 to 2000 the former Faculty of Medicine, University of Natal, Durban, pursued the traditional, didactic curriculum. The implementation of problem-based learning, Curriculum 2001, introduced many changes in the curriculum where facilitators guide instead of teach students. Based on this it is important to understand the principles of problem-based learning (PBL) more extensively and the demands that may be made on the Library and the Librarians. It is assumed that a partnership exits between the librarians and the School of Undergraduate Medical Education (SUME). The object of this study is to determine whether the introduction of Curriculum 2001 impacted on the role and functions of the library and the librarians. The 5th year students from the Traditional Curriculum and 2nd year students from Curriculum 2001 were selected to participate in this study. The methods used in this study were the analysis of the minutes of the meetings that were held to discuss and plan Curriculum 2001 of the Curriculum Development Task Force, questionnaires for the undergraduate students and semi-structured interviews with the facilitators in Curriculum 2001 and medical librarians. The minutes of the CDTF were examined to ascertain if the librarians had any input in Curriculum 2001. The interviews would determine whether PBL had an impact on the role and functions of the library and the librarians. Four librarians and 15 facilitators were interviewed. Quantitative and qualitative methods were used in this study with the assistance of the EPI Info and NVivo software to analyze the results. The results of this study indicated that there is room for greater and enhanced collaboration and faculty partnerships between SUME and the library to assist the students to improve and develop their information literacy skills that are integral part in problem solving in the PBL curriculum.Item 'Profound understanding of fundamental mathematics' and mathematical life histories of some teachers teaching mathematics in the intermediate phase in KwaZulu-Natal.(2007) Van Wyk, Andre Mervyn.;This study had two components: 1) Investigating the conceptual understanding of teachers teaching elementary mathematics at primary schools in the province of KwaZulu-Natal, who had been successful in their mathematics modules in the National Professional Diploma in Education (NPDE) teacher upgrading program, and 2) Investigating the influence of their mathematical lifehistories on their understanding and personal philosophies about mathematics. It firstly required the NPDE students from the University of KwaZulu-Natal to complete a questionnaire adapted from the TELT interview schedule used by Liping Ma (1999). This questionnaire was to assess whether these high scoring teachers had an understanding of basic mathematical concepts that could have been regarded as being profound. The second part of the study was designed in order to get these teachers to examine their mathematical life histories and then to look at how their life histories could have influenced their level of understanding. It was found that these teachers were procedurally capable and were aware of the algorithms that could be used to solve the problems posed, but they lacked deep understanding of the concepts and were thus conceptually weak. None of the teachers demonstrated an understanding of the fundamental mathematics concepts that were assessed, that could be regarded as been ‘profound’. The mathematical life history portion of this study revealed that these teachers, having experienced mathematics education very differently due to their Apartheid influenced education, mentioned that there were definite influences that had a marked effect on their outlook on the subject and thus their belief in their ability to do basic/ fundamental mathematics.Item Promotion of critical thinking in school physical science.(2008) Stott, Angela Elizabeth.; Hobden, Paul Anthony.This dissertation describes an action research study aimed at promoting critical thinking in learners while learning physical science within the South African national curriculum. The data were primarily qualitative in nature, and were collected primarily through participant observation, composed of audio- and video- recorded lessons, interviews, questionnaires, journal entries and written material. Data collection, analysis and interpretation were done in the inductive, cyclic manner of action research. This process was guided by research questions about task characteristics, their position in the teaching sequence, the role of the learning environment, and the need to adjust tasks to fit the needs of different learners, so as to effectively promote critical thinking. A pragmatic approach was used. It was found that it is possible, using particular strategies and tasks, to promote critical thinking while meeting the curriculum outcomes, although the intense syllabus pressure of the curriculum makes this challenging. Task design characteristics and positioning in the teaching sequence, and conditions of the learning environment, were found to affect a task’s effectiveness at promoting critical thinking. Various teaching strategies can improve attainability by a wider range of learners. An instructional model, The Ladder Approach, emerged as being most likely to promote success. This was found to be successful when evaluated against criteria of active engagement and interest by learners, attainability with effort, display of critical thinking traits, and compatibility with the South African curriculum. In this model, an interesting problem is posed at the start of a section, after which direct instruction and learner engagement with the problem run parallel to one another, linked by scaffolding tools which are engaged in individually and collaboratively.Item Teacher education in Transkei : a critical and comparative study of the evolution of selected aspects of its administrative, curricular and course structures as an indicator of future policy and planning in the provision of teachers.(1984) Ngubentombi, Sidwell Vusumzi Sinda.; Niven, John McGregor.Item Teacher education in South Africa : a critical study of selected aspects of its historical, curricular and administrative development.(1971) Niven, John McGregor.; MacMillan, Ronald George.This study, in a sense, mirrors the attitudes of the society in which it is based towards a fundamental pedagogical task, that of the preparation of its teachers, Almost throughout the Western world, the concept of elementary education for all was accepted as a responsibility of the society with little thought being given to the preparation of teachers to make the concept a reality. From this emerged, with the dichotomy of full education for a privileged elite, and basic education for the mass of society, the widespread idea that elementary school teachers stood in need of professional training while secondary schoolmasters required only a thorough grounding in academic studies in the university. It has only been with the full realisation about the middle decades of this century of the need for education at secondary school level for all members of society, that the necessity for a welleducated teaching force has become an accepted reality. With this has come the acceptance of teacher education as an essential pre-requisite of a national system of education rather than merely a poor and somewhat depressed Cinderella of the school system. Part One of this survey therefore seeks to examine the origins and early development of systems for the preparation of teachers in the days before the unification of the states of South Africa. Part Two carries on the historical investigation and the growing moves towards the professionalisation of teacher education up to the middle of the present century. Central to the development of this theme is the major problem of constitutional provision for the control of education in the Union of South Africa. The resultant lack of a national policy for education in general and teacher education in particular sets the stage for the second two parts of the survey. Part Three endeavours on a highly selective basis to examine some of the problems which confront the teacher educator and the educational planner at the present time, concentrating in particular upon aspects of demography and the supply of teachers, as well as the nature of the courses offered. The final section of the study examines the reform period of South African education at elementary and secondary school levels represented by the legislation of the decade of the 'sixties. In particular the proposals of the National Education Policy Act of 1967, and its amendment of 1969, regarding the structure of teacher education in this country are examined. Finally, proposals are made with regard to the implementation of this policy in the present decade. Inevitably as this investigation has proceeded, as the power of the researcher's lens has been increased, so the breadth of the study has been replaced by depth. The depth has not been consistent, reflecting the personal predelictions of the investigator. An attempt has been made to examine aspects of the preparation of teachers for the White group only. Previous experience of an investigation into a much more restricted field than is represented by South Africa revealed the practical impossibility feaiofa wider study than this. Can such a study have any function in the educational literature of the society? This is a question which is of concern to every researcher in the field of the social sciences. For the first time since the creation of Union in 1910, and the framing of the famous but ambiguous phrase in Section 85 of the South Africa Act, this country has been able to contemplate the formulation of a national education policy. The relationships between institutions and authorities charged with the preparation of teachers has in the past largely been based on divisive and separatist tendencies. If a national education policy is to be securely based, it must have at its core a teacher force which is committed to its implementation. It is in the hope that teacher education may be based upon policies which draw institutions and authorities together upon a professional basis of common interest rather than upon the coercive effect of ministerial edict that this study may have some slight value. It is in this spirit that it has been undertaken.Item Realistic charged stellar models(2007) Komathiraj, Kalikkuddy.; Maharaj, Sunil Dutt.In this thesis we seek exact solutions to the isotropic Einstien-Maxwell system that model the interior of relativistic stars. The field equations are transformed to a simpler form using the transformation of Durgapal and Bannerji (1983); the integration of the system is reduced to solving the condition of pressure isotropy. This condition is a recurrence relation with variable rational coe±cients which can be solved in general. New classes of solutions of linearly independent functions are obtained in terms of special functions and elementary functions for different spatial geometries. Our results contain models found previously including the superdense Tikekar (1990) neutron star model, the uncharged isotropic Maharaj and Leach (1996) solutions, the Finch and Skea (1989) model and the Durgapal and Bannerji (1983) superdense neutron star. Our general class of solutions also contain charged relativistic spheres found previously, including the model of Hansraj and Maharaj (2006) and the model of Thirukkanesh and Maharaj (2006). In addition, two exact analytical solutions describing the interior of a charged strange quark star are obtained by applying the MIT bag equation of state. We regain the Mak and Harko (2004) solution for a charged quark star as a special case.Item The pricing theory of Asian options.(2007) Mkhize, Ngenisile Grace Zanele; Xu, Hongjun.An Asian option is an example of exotic options. Its payoff depends on the average of the underlying asset prices. The average may be over the entire time period between initiation and expiration or may be over some period of time that begins later than the initiation of the option and ends with the options expiration. The average may be from continuous sampling or may be from discrete sampling. The primary reason to base an option payoff on an average asset price is to make it more difficult for anyone to significantly affect the payoff by manipulation of the underlying asset price. The price of Asian options is not known in closed form, in general, if the arithmetic average is taken into effect. In this dissertation, we shall investigate the pricing theory for Asian options. After a brief introduction to the Black-Scholes theory, we derive the partial differential equations for the value process of an Asian option to satisfy. We do this in several approaches, including the usual extension to Asian options of the Black-Scholes, and the sophisticated martingale approach. Both fixed and floating strike are considered. In the case of the geometric average, we derive a closed form solution for the Asian option. Moreover, we investigate the Asian option price theory under stochastic volatility which is a recent trend in the study of path-dependent option theory.