There is a variety of possible ways in which computers can be used to enhance mathematics education. This thesis attempts to identify, analyse and classify these possibilities, particularly at the secondary school level. It describes and exemplifies applications ranging from drill-and-practice through games and simulations to problem solving by computer programming. Software evaluation procedures are considered in some depth. Illuminative evaluations of various items of software and there classroom use are reported. The underlying methodology is small-scale action research. Insights gained during the process of investigating each class of software lead to the eventual formulation of a scheme for classifying mathematics education software by means of 'multidimensional attributes'. It is contended that this scheme will help mathematics teachers to make well informed and sound professional judgements regarding the evaluation and use of computer programs for teaching/learning purposes. Also, it is hoped that this scheme and the thesis as a whole will contribute towards the establishment of well founded standards and procedures for software development in the field of mathematics education. Several implications of the computer for the mathematics curriculum in South Africa are suggested. A note of caution is sounded regarding possible detrimental effects of the computer and several questions requiring further research are posed. A recommendation arising from the thesis is that in-service training courses concerning computer applications in mathematics education should be run for secondary school teachers.

The investigator's experience of teaching mathematics at a college of education since 1983 has reinforced his conviction that trainee students come to college with significant gaps, weaknesses and faults in their (mathematical) conceptual structures, probably as a result of shortcomings in the mathematics teaching to which they have been exposed. The theme of this investigation is thus a natural choice that appeared to be of immediate relevance to secondary school mathematics teaching. The analysis of the issue leads to a unified perspective: the problem is placed in a theoretical framework where Bruner [spiral curriculum], Ausubel [structured learning] and Skemp [relational understanding] are brought together. How the curriculum, textbooks and examination influence school mathematics teaching is examined in some depth and the consequences investigated. Two specific topics, viz. the generalised Pythagorean relation and absolute value are investigated in relation to published work, curriculum and textbooks, and each (topic) is presented as a unifying theme in secondary mathematics to standard 9 pupils. The classroom exercise is assessed to test the hypothesis that structured, integrated presentation around a spiral curriculum promotes "relational understanding". Analysis of results supports the hypothesis.

Research has shown that in the South African school context textbooks are perceived as the most important guide to subject content. It is essential, therefore, that pupils and teachers should possess skills and strategies that they can use to interpret and understand the textbook. Equally, textbook writers ought to be aware of the cues pupils need to facilitate the learning process. Problems that hinder the learning of geography subject content from textbooks may arise from, among other things, the style in which the text is written, the way in which concepts are developed, the presentation of visual materials and elements of bias and stereotyping. This study scrutinises and analyses two standard 6 geography textbooks prescribed for Ciskei schools to assess the extent to which these textbooks consider the language competence of the pupils, explain and develop concepts, and in general promote the geographical education. Interviews with Ciskei teachers revealed that Standard 6 pupils encounter difficulties in the geography textbooks which are attributed to the fact that they are second language learners and they lack the requisite skills for interpreting visual materials. The analysis of the textbooks revealed that despite efforts made in recent years to rectify the most blatant aspects of bias and stereotyping and to improve the presentation of textbooks, a number of serious problems continue to exist particularly with regard to the Standard 6 learner of geography. The study attempts to alert writers of texbooks and teachers to factors which need to be taken into consideration to assist second language speakers toward effective learning.

The work attempts to identify the general conceptual problems of the generations of Black students who pass through flrst year physics courses at the University of Fort Hare. In particular the alternative conceptions of students in the area of direct current electricity are investigated, using various techniques including written diagnostic tests. The main method used in the investigation of the student frameworks is the personal interview. A varied number of inappropriate conceptions are identifled in the students in significantly large proportions, and these are found to be dependent on many factors; for example the socio-cultural background like language and its metaphors, and media images. It is established that some of these are exacerbated by student perceptions about the nature of physics and of the scientific enterprise in general. Certain proposals are made about how to remedy the situation; relying mainly on the recently established innovative instructional strategies like conceptual change and cognitive conflict, and on making proposals about restructuring certain forms of presentation of the subject matter, paying attention to how language is used to address the speciflc problems of the students. The importance of providing practical experiences for the students is also emphasised

As the title of this thesis indicates, the researcher was concerned at the high failure rate in the Standard 10 history examinations in the Alice circuit. This problem is confined neither to history as a subject nor to a single area in the Ciskei.

Text in Afrikaans / 'n Leerling se wiskunde-selfkonsep wys heen na die konsep wat hy van homself op wiskundige vakgebied het. Die kwaliteit van hierdie konsep word bepaal deur die kwaliteit van sy eie betrokkenheid by, belewing van en sin- en betekenisgewing aan wiskundige vakinhoud. Wanneer die kwaliteit van 'n leerling se wiskunde-selfkonsep ontoereikend is, word sy onvermoe om op daardie tydstip sukses op wiskundige vakgebied te behaal, geopenbaar. Dit plaas die opvoeder voor die opgawe om bemoeienis met die leerling te maak en hom ten aansien van sy probleem te help. In die lig hiervan is 'n hulpverleningsprogram ter bevordering van die wiskunde-selfkonsep ontwerp. Aangesien leerlinge in Suid-Afrikaanse skole tans gedurende die st.7-skooljaar die besluit neem om die studie van wiskunde te staak of daarmee voort te gaan, is die inhoud van die program derhalwe op die st.7-leerling van toepassing gemaak. Spesifieke doelsteilings wat in die ontwerp van die program nagestreef is, is die volgende: Om die leerling te begelei tot insig in en die begryp van die kwaliteit van sy eie wiskunde-selfkonsep en grondliggende oorsake vir die vorming daarvan, ten einde hom in staat te stel om sy eie situasie in perspektief te plaas. Om die leerling te begelei tot die ontwikkeling van spesifieke vaardighede aan die hand waarvan hy homself op 'n meer selfstandige wyse kan handhaaf ten aansien van die begripmatige bemeestering van wiskunde as vak. By wyse van 'n loodsondersoek is die toepasbaarheid van die onderhawige program ondersoek. Uit die terugvoergesprekke met die leerlinge tydens die groepsessies en die inligtingstukke wat hulle voltooi het, blyk dit dat hulle baat gevind het by hulle deelname aan die program. Met die oog op moontlike toekomstige navorsing is spesifieke leemtes ten opsigte van die onderhawige studie uitgelig en aanbevelings gedoen wat as verdere riglyne geimplementeer kan word. / A pupil's mathematical self-concept is the concept a pupil has of himself in the sphere of Mathematics as a subject. The quality of this concept is determined by the quality of his own involvement in, live-experiencing of, and significance attribution in respect of mathematical subject content. When the quality of a pupil's mathematical self-concept is inadequate, his inability is manifested in his failure to master Mathematics as a subject. This confronts the educator with the task of becoming involved with the pupil and helping him with his problem. In view of this, an aid programme was designed to improve the mathematical self-concept. Owing to the fact that, at present, pupils in South African schools have to decide during their Std 7 school year whether they are going to continue with their study of Mathematics or discontinue these studies, the content of the programme was aimed at the Std 7 age group. The following are the specific aims that were pursued in the designing of the programme: To guide the pupil to insight in and understanding of the quality of his own mathematical self-concept and its underlying causes, in order to enable him to place his own situation in perspective. To guide the pupil in the development of specific skills to help him cope more independently with the successful mastery of Mathematics as a subject. The possibility of implementing such a programme in practice was established by means of a pilot investigation. From feedback discussions with the sample group during group sessions and from questionnaires they filled in, it appears that they benefited from their participation in the programme. With a view to possible future research, specific shortcomings with respect to the investigation were highlighted and recommendations made which can be implemented as further guidelines. / Psychology of Education / M. Ed. (Sielkundige Opvoedkunde)

Prompted by increasing demand in South Africa for the development of a focused but flexible English Second Language (ESL) curriculum at university level, this thesis contends that substantial theoretical under-pinning is needed for decisions on ESL course materials. Once the theoretical constructs are determined, a model based on a systematic approach to course design is proposed. It maximizes the individualization of experiential learning, despite the large numbers of students who take these courses, through a multi-form course structure offering four streams of study at three levels of difficulty. Entry is possible at the start of the year and at mid-year. The empirical research which forms the basis of the study is an analysis of the 1985 student group at the University of South Africa (UNISA). Several methods are used, including post-course questionnaires, diagnostic assignments and a detailed language and stylistic error count linked with a clause analysis of a sample of assignments and examination scripts. The model curriculum meets the contextually basic science requirements of a university course, within the parameters of response needed in regard to the ESL student profile determined by the needs and role analysis completed in Chapter 2. Model aims and terminal learning objectives are presented in Chapter 3 as the foundation on which the rest of the thesis is constructed, and include comprehension, applied composition, oral and aural skills, use of reference works, methods of thinking, and occupationally relevant specialist language. In Chapters 4 and 5, in-depth analyses of appropriate course content and methods emphasize the use of Afrocentric English literature in contemporary settings with appropriate readability levels, language in use in specified contexts, development of vocabulary, remedying incorrect usage, comprehension skills, composition skills, development of cognitive processes, oral and listening skills, and the purpose and place of grammar. The final chapters outline approaches to criterion-referenced assessment and evaluation, and suggest appropriate set works and criteria for their selection. The course materials aim at improving English communicative performance. The underlying principles used in developing this course design and its associated materials can be valuably extrapolated and applied at universities and other tertiary institutions. / English Studies / D. Litt et Phil. (English)

Thesis (MTech (Mechanical Engineering))--Cape Peninsula University of Technology, 2007 / Twelve years into a democracy, South Africa still faces many developmental challenges. Since 2002 Universities of Technology in South Africa have introduced Foundational Programmes/provisions in their Science and Engineering programmes as a key mechanism for increasing throughput and enhancing quality. The Department of Education has been funding these foundational provisions since 2005. This Case Study evaluates an aspect of a Foundational provision in Mechanical Engineering, from the beginning of 2002 to the end of 2005, at a University of Technology, with a view to contributing to its improvemenl The Cape Peninsula University of Technology {CPUn, the locus for this Case Study, is the only one of its kind in a region that serves in excess of 4.5 million people. Further, underpreparedness in Mathematics for tertiary level study is a national and intemational phenomenon. There is thus a social interest in the evaluation of a Mathematics course that is part of a strategy towards addressing the shortage in Engineering graduates. This Evaluation of integration of the Foundation Mathematics course into Foundation Science, within the Department of Mechanical Engineering at CPUT, falls within the ambit of this social need. An integrated approach to cunriculum conception, design and implementation is a widely accepted strategy in South Africa and internationally; this approach formed the basis of the model used for the Foundation programme that formed part of this Evaluation. A review of the literature of the underpinnings of the model provided a theoretical framework for this Evaluation Study. In essence this involved the use of academic literacy theory together with learning approach theory to provide a lens for this Case Study.

Thesis submitted in fulfilment of the requirements for the degree MASTER OF EDUCATION in the FACULTY OF EDUCATION AND SOCIAL SCIENCES at the CAPE PENINSULA UNIVERSITY OF TECHNOLOGY 2014 / The purpose for this study was to reveal the perceptions held by science teachers on the integration of socio-scientific issues in their science teaching. Also pertinent to this investigation was an understanding of what these teachers saw as the purpose(s) of such integration, how they purported to carry out the integration in their classroom, and how they perceive the role of social justice in science teaching. The theoretical principles of critical pedagogy underpinned the study and its methodology was guided by a phenomenological approach. The qualitative study was confined to eight schools in the Cape Town Metropole and ten science teachers made up the purposefully selected sample. Grounded theory was used as a method of analysis of the transcripts obtained from the semi-structured interviews conducted with the teachers on the socio-scientific issues depicted by two scenarios. Teachers saw the purposes for SSI integration in terms of its focus on the science curriculum, the everyday relevance of science and the impact of science. In addition they thought SSI integration could be useful to inculcate values, encourage behaviour change, advance both society and self, and develop critical thinking. They cited seven different teaching strategies and practices which they preferred for such integration: enquiry-based tasks; science content-specific activities; science-technology-society-environment (STSE) activities; communication of science information; science oriented projects; literacy programmes and deliberation and decision-making. The teachers thought that they could use the SSI scenarios to address socio-economic issues and issues pertaining to equity, self-determination, equality and civic values. Four general teacher profiles emerged from the research findings. These profiles captured both the commonalities and diversity existing among the participants’ perspectives.

Thesis (MTech (Education))--Peninsula Technikon, Cape Town, 2003 / Using a case study approach, this thesis describes the listening practices of tirst year students at a technikon in the Western Cape. The research was conducted over a period of two years, from 2002 - 2003. Research data are gleaned from an analysis and interpretation ofresponses from several ethnographic tools: questionnaires (completed by lecturers and students), notes on class observations, oral interviews and audio-visual samples ofstudents' gestures and actions in class. Oral and written lecture recall assessments are analysed and interpreted with a view to describing students' listening practices. Six first year students, whose home languages are Xhosa and Afrikaans, are selected for research. The impact oftheir listening and learning through the medium ofEnglish is considered, as well as the influence ofchange in a learning culture, socio-cultural and socio-economic factors. Their life stories are analysed in depth to consider how factors in their lives influence their listening in class. Pairs ofselected students are compared to try to identify the qualities ofeffective listeners. The impact oflistening on these students' academic performance is examined and the role ofeducators as facilitators is considered. It is concluded that both students and staffhave a role to play in improving students' listening and English proficiency in order to promote academic success.