This study empirically compares the Classical Test Theory (CTT) and the Partial Credit Model (PCM) of Rasch focusing on the invariance of item parameters. The invariance concept which is the consequence of the principle of specific objectivity was tested in both CTT and PCM using the results of learners who wrote the National Senior Certificate (NSC) Mathematics examinations in 2010. The difficulty levels of the test items were estimated from the independent samples of learn- ers. The same sample of learners used in the calibration of the difficulty levels of the test items in the PCM model were also used in the calibration of the difficulty levels of the test items in CTT model. The estimates of the difficulty levels of the test items were done using RUMM2030 in the case of PCM while SAS was used in the case of CTT. RUMM2030 and SAS are both the statistical softwares. The analysis of variance (ANOVA) was used to compare the four different design groups of test takers. In cases where the ANOVA showed a significant difference between the means of the design groups, the Tukeys groupings was used to establish where the difference came from. The research findings were that the test items' difficulty parameter estimates based on the CTT theoretical framework were not invariant across the different independent sample groups. The over- all findings from this study were that the CTT theoretical framework was unable to produce item difficulty invariant parameter estimates. The PCM estimates were very stable in the sense that for most of the items, there was no significant difference between the means of at least three design groups and the one that deviated from the rest did not deviate that much. The item parameters of the group that was representative of the population (proportional allocation) and the one where the same number of learners (50 learners) was taken from different performance categories did not differ significantly for all the items except for item 6.6 in examination question paper 2. It is apparent that for the test item parameters to be invariant of the group of test takers in PCM, the group of test takers must be heterogeneous and each performance category needed to be big enough for the proper calibration of item parameters. The higher values of the estimated item parameters in CTT were consistently found in the sample that was dominated by the high proficient learners in Mathematics ("bad") and the lowest values were consistently calculated in the design group that was dominated by the less proficient learners. This phenomenon was not apparent in the Rasch model. / Mathematical Sciences / M.Sc. (Statistics)

South African learners continue to perform poorly in high school Circle Geometry. Lack of learner confidence and motivation in Mathematics may be the contributing factors to the low success rate in Circle Geometry. These factors, coupled with Conventional Teaching Instructions (CTI), may have contributed to the significant reduction in the number of learners enrolled for Mathematics, and provided a rationale for the study that explored a possible alternative teaching pedagogy to motivate and eventually improve learner performance in Circle Geometry. The study aimed to investigate the comparative effects of Computer Assisted Instruction (CAI) and CTI on the performance and motivation of Grade 11 learners in the topic of Circle Geometry. The population of the study consisted of Grade 11 Mathematics learners from 65 secondary schools in the Ekurhuleni North District of Gauteng province in South Africa. Using convenience sampling techniques two schools with n=136 Grade 11 Mathematics learners and two teachers participated in the study. One school formed the experimental group (n=71) and the other school formed the control group (n=65). The study followed a quasi-experimental design with a non-equivalent control group approach consisting of pre-and post-test measures. Intact classes participated in the study as it was not possible to randomly select participants for the study. Both groups wrote a standardised achievement pre-test to ascertain their performance status at the beginning of the study. CAI was implemented in the experimental school while CTI was implemented in the control school. A similar post-test was administered on both groups to measure the comparative effects of each teaching method on the performance of learners. A questionnaire was also administered to both groups to measure the motivation of learners. A purposive sample (n=12) was selected from both groups to participate in semi-structured interviews to account for the results of the test and the questionnaire. A socio-constructivist theory framed the study. Analysis of Covariance (ANCOVA) was used to analyse data. The results of this investigation indicated that the use of the computer software, GeoGebra, in the teaching and learning of Circle Geometry improved the performance and motivation of Grade 11 learners. / Mathematics Education / M. Ed. (Mathematics Education)

Technology continues to progress due to the enormous growth of wireless technologies and mobile computing. Mobile devices such as handheld computers, smartphones and mobile phones are integrated into the daily lives of many people irrespective of their age, nationality or gender. These devices are embedded with computer functionalities and their ease of use and mobility functionality enable the people to use and move around with the mobile devices everywhere they go; the sophistication of these devices fascinates many learners thus they are fluent in using digital technology. The aim of this thesis is to describe how these devices are being utilised for learning purposes using the qualitative data collection method, to use the FRAME model to evaluate the usefulness of mobile digital technology and to also understand the educator’s role in the mobile age. This thesis explores the relationship between education (what is being taught), society (individual learners and their learning preferences) and technology (mobile tools used for learning), conceptualising the learner’s perspective. The research findings indicate that learners in the case study are enthusiastic about mobile educational technology, fluent in using digital technology and they prefer pen and paper for taking notes. The outcomes of this study suggest that although mobile technology has the potential to enhance teaching and learning, educators need to put more emphasis on providing technology-rich learning activities to empower high level of student involvement and take into consideration the learner’s learning preferences towards learning using mobile technology. / College of Engineering, Science and Technology / M.Tech. (Information Technology)

Juvenile delinquency amongst school-going adolescents is a growing concern in South Africa. Initiatives by policy-makers, educationists and school authorities, amongst others, have not yielded the desired changes in learner behaviour. This dissertation focuses on adolescent delinquency amongst learners in Gauteng secondary schools, with the precise aim of making recommendations to address the problem. An extensive literature review was conducted. An interpretive-constructivist paradigm with a mainly qualitative design was followed. A questionnaire and focus group interviews were administered to teachers. The findings confirmed the researcher’s view that juvenile delinquency in schools is escalating and warrants attention and intervention from all stakeholders. The main conclusion drawn from this research was that current policies and interventions on learner behaviour had no impact because policy-makers lacked the necessary will to ensure that interventions were implemented, reviewed and monitored. This study argues for a multi-pronged approach to address the problem. The Gauteng Department of Education (GDE) should review its policies and approach to the problem, and support teachers to ensure that teaching and learning remain the main priority of schooling. Future research could explore the role of social ills in the South African context on the development of learners’ antisocial behaviour. / Educational Foundations / M. Ed. (Socio-Education)

Submitted in compliance with the requirements for Doctor of Philosophy Degree in Quality, Durban University of Technology, Durban, South Africa, 2017. / Quality has emerged as a necessity in education as we are faced with increasing competition and a demand for better quality of life. There is an enormous gap in South Africa’s education system; 60% of South Africa’s children do not reach the final matriculation school year. Many Grade 12 learners, despite being taught Mathematics, remain effectively mathematically illiterates. The ability to provide quality education is more than ever essential and there is at present a consensus for fundamental reforms in our education sector, with emphasis on Quality. The result of quality education is not only about achieving academic excellence but the total development of the learner. If education does not cater for the future needs and challenges of the new millennium then it is ineffective for the new generation. Low scores in Mathematics are a major concern as learners are not able to meet the challenges in secondary schools to pursue careers in Mathematics. South Africa was placed last out of 41 countries worldwide in terms of Mathematics performance in the Third International Mathematics and Science Study (TIMSS). The World Economic Forum has placed South Africa last amongst 62 countries on the quality of Mathematics and Science Education in their annual report in 2012. Apartheid in South Africa was a complex period that paved the way for the new education dispensation. A paradigm shift was thus imperative and challenging to a democratic South Africa. It is more than two decades into the 21st century and into a democratic South Africa. The effects of apartheid are visible in many areas, more so in education. This study is underpinned by the transformation agenda attached to curriculum policy reform in South Africa. There is an interface in respect of policy construction and Skills, knowledge, attitudes and values (SKAV) constitution from the Department of Education to primary and to secondary schools. The implementation of various curriculum reforms led to a decline in the pass rate of learners in the National Senior Certificate examinations and in the Annual National Assessment. Some of the serious problems articulated by teachers were inadequate subject training in Mathematics, lack of communication, job dissatisfaction and the demanding administrative workload. It is envisaged that the findings of this study will make recommendations for SKAV development in teaching and learning of Mathematics in primary and secondary schools. In this regard, a model to improve quality in Mathematics education was proposed. The ability of education to meet the needs of the future both at individual and societal level is one of the critical elements of quality education. / D

Whilst the concept of teacher leadership is not new in the international literature (Grant, 2006), research on the topic of teacher leadership is emerging slowly as a new area of research interest in South Africa (Grant, 2006; Grant, 2005; Singh, 2007). Teacher leadership is basically about teachers who are leaders within and outside the classroom, who identify with and contribute to a community of teacher learners and leaders, influence others to improve their teaching practice and accept responsibility for realising the goals of their organisation (Katzenmeyer & Moller, 2001 in Grant, 2006). Therefore, teachers’ roles in operating as leaders in schools are acknowledged in literature. This study is a replication of a University of KwaZulu-Natal multi-case study on the enactment of teacher leadership conducted in various educational institutions in the province of KwaZulu-Natal. In line with the original study, this study aimed at obtaining an understanding of the enactment of teacher leadership in a township high school in the King William’s Town education district, in the Eastern Cape. I further explored what factors promoted or hindered such enactment. As an Eastern Cape Master of Education student participating in a group research programme at Rhodes University, we adopted and used the same research questions, research approach, data collection methods as well as data analysis techniques as utilised in the original study. Therefore, this research study was conducted within the interpretive paradigm, following a qualitative approach. I adopted a case study methodology, with the case being the school and three teacher leaders as units of analysis. Data were gathered through a multi-method approach which consisted of a school profile, a focus group interview, semi-structured individual interviews, questionnaires, self reflective journaling and observations. Whilst the research was guided by distributed leadership theory, Grant’s (2008) Model of teacher leadership and thematic content analysis was used to analyse data. Research findings revealed that the enactment of teacher leadership was evident in Zones 1, 2 and 4 of Grant’s (2008) Model of teacher leadership in the case study school. However, a restricted form of teacher leadership was enacted in Zone 3, whereby teachers were not regularly involved in school-wide decision-making processes. When teacher leadership was enacted, it was in a form of authorised distributed leadership. The study further identified the autocratic leadership style of the principal and of the School Management Team members, as well as the non-inclusive school culture as main barriers towards the enactment of teacher leadership in the case study school. Despite these barriers, teachers’ high levels of enthusiasm were identified as an enabling factor that promoted the enactment of teacher leadership in the case study school.

The aim of this study is to develop an understanding of how Grahamstown teenagers are affected by the label ʹdyslexiaʹ; by providing a space in which their feelings about being labelled dyslexic and their experiences can be voiced. Historically much international and local research has focussed on causation and remediation of dyslexia and has neglected the social aspects of the diagnosis. Causation and remediation are categories which form part of the medical or educational models. A social model of dyslexia needs to be applied. Due to the paucity of South African literature on the social experiences of dyslexic teenagers, this research thesis aims to add to the body of knowledge and hopefully provide an avenue for more research within the context of Sociology. This is a micro study, situated in Grahamstown Eastern Cape, South Africa, and the author recognizes that responses cannot be generalized to the greater dyslexic population. All human environments consist of objects which are given meaning through social interaction. Meaning is central to human behaviour and therefor explains the ways in which humans conduct their lives based on these meanings. For this reason George Herbert Mead’s (1934) and Herbert Blumers (1969) symbolic interactionist positions have framed the theoretical approach to this research. Qualitative methods of interviewing provide an opportunity for dyslexic individuals to discuss the meaning dyslexia gives to them, from their perspective and in their own words. The following conclusions have been arrived at: Educational psychologists in Grahamstown are reticent to diagnose individuals as dyslexic. This lack of identification hinders early intervention which can be very detrimental to individuals struggling with reading, writing and spelling as well as the associated co-morbid conditions of dyslexia. Teenagers who have had early diagnosis and intervention with support structures in place identify with their dyslexic identity more positively as they are able to make sense of their struggles of a dyslexic nature.

In South Africa, on-going concerns surrounding the development of learners’ literacy, mathematics and science skills are evident and drive various research studies in this field. International studies and assessments, such as the Trends in International Mathematics and Science Study (TIMSS) and the Progress in International Reading Literacy Study (PIRLS) show major differences in the proficiency levels of learners in South Africa in comparison with their international counter parts. To date, however, the more comprehensive international standardised assessment called the Programme for International Student Assessment (PISA), has not been administered in South Africa. The main aim of this research study was to investigate and scientifically explore the real situation in terms of language, mathematics and science literacy knowledge and skills of Grade 9 learners in South Africa and to draw a comparison between Grade 9 learners from secondary schools in the Port Elizabeth district in South Africa and their international counterparts, using the PISA standardised international assessment. In addition, the aim of the study was to determine the actual language, mathematics and science literacy skills and knowledge acquired by participants in this study. Quantitative data collection was done by administering a modified version of the Program for International Student Assessment (PISA) to learners from eight schools in Port Elizabeth, supplemented with questionnaires completed by participating learners and school principals. Findings revealed that the South African learners sampled, ranked in the bottom percentile of participating countries in reading, mathematics and science. The study also exposed the glaring inequalities still prevalent in South African education today, 17 years into democracy. The implications point to a serious investigation into the societal and political factors responsible for the discrepancies in the South African educational system at present.

‘Ulwaluko’ (the male initiation custom) has been practised for generations by many cultures in South Africa and in Africa as a whole. AmaXhosa are amongst the population groups in South Africa within whom this custom has survived pre colonially and through the colonial and apartheid eras up to the current democracy. While this custom was reserved for older, mature and senior boys in the past, there is evidence that nowadays immature and junior boys as young as 12 years are taken to the initiation school. This study sought to understand how these newly graduated initiated men (amakrwala) cope with their multifaceted identities, as learners in a secondary school and as adults in the community. The study also seeks to explore a leadership style that can be sensitive to the needs of ‘amakrwala’ at school. This is a qualitative study which used interpretivism as the research paradigm. Phenomenology is the research design and phenomenological interviews were used as the data gathering tools. The findings reveal that there are tensions that exist between modernity and tradition in socialising amakrwala. The school represents the modern space and the home and community are the traditional spaces. In the formal school environment there is minimal or no recognition of the new identity of the ‘amakrwala’. At school ‘amakrwala’ are seen as learners. Their identity and status remain unchanged from what they were before they went to the initiation school. However, in the community and at home, they are elevated from a childhood to an adult status and their identities are thus re-shaped.

The aim of this study was to explore how peer education is enhancing social-emotional learning in four secondary schools in Fort Beaufort Education District. An empirical investigation using the qualitative approach examined the situation of the peer education clubs at the four schools. Data was gathered using interviews, focus groups, observations and document analysis. The purpose of the study was to examine the role of peer education programmes in enhancing social and emotional learning in schools. In this research study specifically the qualitative research approach was used. The study also adopted a purposive sampling procedure which is acceptable for special sampling situations where the researcher applied her own experience to select cases which form part of the participants. Four schools were selected, four principals, four teachers who work with peer education clubs, four focus groups, one HIV/AIDS district coordinator, and one peer group trainer. It emerged from the analysis of the collected data that peer education clubs in Fort Beaufort have a number of challenges facing them, resulting in them making insignificant contributions towards the enhancing of social-emotional learning. The clubs’ efforts have resulted in little positive behavioural change among the youth. Among the challenges revealed are: lack of proper structures and support from school administrators, poor selection of peer educators, lack of time and facilities in which to carry out their work, lack of adequate training for both teachers and peer educators. Teacher interference was also cited regularly at all four schools, thereby defeating the whole idea of peer education. The study also revealed that peer educators in Fort Beaufort are not receiving adequate support from other stakeholders like, the police, the justice department and social welfare. Another critical observation made during the study was that peer education clubs are lacking clear standards of practice, rigour and sustainability, all which should be addressed in order to enhance social-emotional learning in schools. Data was analysed using a thematic content analysis. The analysis was carried out in a manner that related to the research questions and objectives in the study. A transcript was made from the respondents’ answers. Reflection and coding was done and data was categorised as an important learning tool in schools, and to recognise its contribution to social emotional learning. The study concluded that peer education clubs in schools, despite their huge potential to improve both behaviour and academic results, are not being given a conducive environment to operate in or the necessary support. This effectively means that learners with some behavioural problems and who have the potential to reform are also being denied the opportunity to lead better lives. The Department is advised to increase the number of both peer education trainers and trained peer educators. Furthermore the training period of peer educators should be increased from the current five days. There is need for the Department of Education to formalise peer education clubs in schools and craft laws that makes it mandatory for schools to provide the clubs with decent facilities like confidential rooms to conduct their activities. More so the study recommends that there is need to train all teachers in schools in social skills and not only LO teachers to ease supervisory burden on the LO teachers.