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Exploring pre-service teachers' knowledge of proof in geometry.Ndlovu, Bongani Reginald. 07 August 2013 (has links)
Over the past years geometry has posed a challenge to most learners in South African
schools. The Government, in particular the Department of Basic Education (DBE), have
tried and are still trying to implement new innovations and strategies for teaching
mathematics more effectively. South Africa has experienced many changes in
mathematics curriculum with an aim of placing the country on an equal footing with
countries globally. This study was conducted while there was the implementation of the
new Curriculum and Assessment Policy Statement (CAPS), which reinstated the
geometry section within the curriculum. Geometry was relegated to an optional paper in
mathematics in 2006, 2007 and 2008 in Grades 10, 11 and 12 respectively.
This study is framed within the theoretical framework lens of social constructivism and
situated learning, and is located within the qualitative research paradigm. It takes the
form of survey research in one of the universities in KwaZulu-Natal, South Africa. This
university is referred to as the University of Hope (UOH) in this study to protect its
identity. The main aim of this study was to explore the pre-service teachers' (PSTs)
knowledge of proof in geometry. The study used qualitative analysis of data generated
through a survey questionnaire, task-based worksheets and semi-structured interviews
for both the focus group and individual interviews.
In total 180 PSTs completed task-based worksheets. Within this group of 180 students,
47 were 4th year students, 93 were 3rd year and 40 were 2nd year students. After the
analysis of a task-based worksheet, a total of 20 participants from the 3rd and 4th year
were invited to participate in focus group interviews.
The findings of the study exhibit that the PSTs have very little knowledge of proof in
geometry. The study revealed that this lack of the knowledge stems from the knowledge
proof in geometry the PSTs are exposed to at school level. / Thesis (M. Ed.)-University of KwaZulu-Natal, Durban, 2012.
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An evaluation of the implementation of the South African skills development policy in the Amaoti area.Mwandla, Theresa. January 2010 (has links)
The skills shortage and unequal standards of training in South Africa provided the stimulus for the Skills Development Policy. The purpose of the study was to analyze and appraise the Amaoti Vegetable Farming Learnership (AVFL), a skills development programme implemented in the Amaoti area. The aims were to establish what changes occurred to the scheme, which was implemented on a piece of land of land with no farmer as an employer; and to ascertain whether the AVFL achieved its intended purpose of providing participants with agricultural skills. Data were gathered via one-on-one interviews with six participants and two focus groups. One major finding that emerged from the study was that the programme equipped participants with agricultural skills.
Another significant finding was that the elderly project learners did not accept being supervised by young mentors and perceived it demeaning. This resulted in a strained relationship between the two groups and subsequently led to non-productive supervision. The concurrent training of both learners and mentors also contributed to the strained relationship between the two groups. The study also found that the recruitment process did not adhere to the Skills Development Act, which prescribed that learnership participants should be recruited from labour centres. In the case of the AVFL, recruitment was conducted in the community. The use of land was problematic in that there were no resources.
Recommendations included: 1) training of mentors should be done before the implementation of the learnership and should take into account cultural implications such as age differences; 2) resources need to be available on the land including water, ablution, and sick bay. / Thesis (M.Soc.Sc.)-University of Kwa-Zulu Natal, Durban, 2010.
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Starting with ourselves : addressing HIV and AIDS education through integration in a South African pre-service teacher mathematics education curriculum.Van Laren, Linda. January 2008 (has links)
The purpose of this study was to initiate integration of HIV and AIDS curriculum in / Thesis (Ph.D.) - University of KwaZulu-Natal, Durban, 2008.
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Reconceptualising adolescent literacies as textual assemblages.Watson, Adrienne Patricia. January 2012 (has links)
This investigation is a case-study of adolescent literacy practices and some of the texts arising from them. Forty-five texts were initially analysed for their generic structure and semiotic composition from within the traditions of the sociolinguistic paradigm. Findings from these two processes of analysis were then reinterpreted from a Deleuzean perspective with the aim of opening out otherwise imperceptible generative forces implicated in differences between the creation of online texts such as MXIT instant messages; Facebook texts and emails, and traditional print-and-paper school based writing. The context for the study was a Pietermaritzburg government girls’ only high school. A mixed-methods approach was used throughout the research process. The sample of twelve learners was purposefully selected from across two grade 9 classes to whom subject-English was taught. The core component of the data is a single writing exercise in which the pupils were asked to write a film appraisal as 1) a MXIT or SMS message; 2) an email; 3) a Facebook message and 4) a conventional film review. There are two major findings from this study. First, in some contexts, adolescents demonstrate a high degree of differentiated control over the structural, linguistic and semiotic composition of their writing in English; second, in online literacy, there is a complex configuration of motivating contextual variables that teenagers co-opt. These generate dynamic forces that serve adolescents’ own social and affective purposes and which can supersede, subvert or cooperate with the stated purpose of a genre. A Deleuzean framework helps reveal the complex processes underlying adolescent literacies and enables the beginning of an interrogation of the pedagogic implications of recent innovations in communication technology and practices. / Thesis (Ph.D.)-University of KwaZulu-Natal, Pietermaritzburg, 2012.
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Towards successful mathematical literacy learning - a study of preservice teacher education module.Hobden, Sally Diane. January 2007 (has links)
The purpose of this study was to extend our knowledge about mathematical literacy learning with the focus on a foundational preservice teacher education module required for prospective teachers. The construct of mathematical proficiency provided a framework for understanding how successful learning depends on a multiplicity of competences, and in particular to highlight the pivotal role of a productive disposition towards mathematics in becoming mathematically literate. The main questions that guided the study were as follows: What is the nature and strength of the productive disposition strand of mathematical proficiency evident in preservice teachers entering a Mathematical Literacy module and how does this productive disposition change over the course of the module? and What pedagogical practices and learning behaviours best enable preservice teachers to achieve mathematical literacy? The study was undertaken as two overlapping case studies, the first describing the preservice teachers at the onset of their studies in the Mathematical Literacy for Educators module, and in the second, a three part story-telling case study of the unfolding of the module over three years from 2003 to 2005. The mathematics autobiographies of 254 preservice teachers and the data obtained from a premodule questionnaire and introductory class activities contributed to the first case study which was summarised in the form of three fictional letters. Written reflections, final module evaluations and the insights of my co-workers contributed to the second case study which documented the successes and struggles of the preservice teachers as the module unfolded each year. Complementary mixed methods techniques were used to analyse the multiple sources of data and to weave strong ropes of evidence to support the findings. Statistical analysis pointed to themes which were supported or tempered by qualitative evidence reported in the voices of the preservice teachers themselves.
The analysis revealed that many of the preservice teachers entering the Mathematical Literacy for Educators module had found their school experience of mathematics to be dispiriting and consequently had developed negative dispositions towards the subject. The change in this disposition depended on their success in the module and the empathy shown by the lecturer. Helpful pedagogical practices were found to be those that supported language difficulties in learning mathematics, assisted in organising learning, remediated for poor schooling background in mathematics and took account of the diversity amongst the students. I argue that many of the lessons learned and insights gained from teaching the Mathematical Literacy for Educators module are relevant to the expanding number of mathematics courses required as part of humanities programmes. In addition, they can inform practices at school level and in both in mathematics and mathematical literacy teacher education. / Thesis (PhD.)-University of KwaZulu-Natal, 2007.
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Training and development of municipal personnel in South Africa.Rabie, Anna-Louise. 21 October 2013 (has links)
This doctoral thesis essentially investigates what is currently done
by South African municipalities with regard to the training and development
of their personnel. The study was necessitated by the fact that personnel
plays an important role in the viability of any local authority. Therefore,
the quality of manpower should be above suspicion. Moreover, with the
advent of the expected implications of the new constitutional dispensation
it is imperative that attention shall be focused timeously on the
training and development of the human resources available to local
government and administration. The need for training and development
also dominates the arena in view of the continued extention of government
activities and the concomitant creation of new State institutions.
Thus, the above reasoning serves as rationale for the background
description of the right of existence of local authorities. The term,
local authorities, is, therefore, viewed as a collective noun for all
institutions engaged in governing and administering community life on
the local level, be it municipalities, village boards, health committees
or institutions for the peri-urban areas. A discussion of municipal administration is also given as it justifies a review of the location thereof within the spectrum of public administration, given its distinctive environment and character.
Furthermore, an exposition of municipal personnel administration within
the context of municipal administration is imperative should one wish to
understand the delicate processes of provisioning, maintenance,
utilisation and above all, training and development of scarce manpower
resources. Coupled with the description of the components of municipal personnel administration, follows an explanation of the constituent parts of the activities, training and development. The study revealed that training
is a process of which the groundwork is done by a related field, called
education. Education starts at birth and continues ad infinitum.
Education also provides the preparation-for-life foundation, whereby
training continues as the preparation-for-work process. As a prerequisite
for both processes to be successful, is an intellectual process, called
learning. The will to learn then also prepares the individual with a
willingness to develop at the hand of various ways and means. Thereafter the need for and the objectives of training within the institution is acknowledged and a description is given of how to identify and describe these needs and objectives in order to meet the common objective of local authorities, viz. the improvement of the general well-being of the citizenry. A responsibility rests on the individual municipalities to provide, through training and development programmes, the opportunity for municipal officials and employees on all levels, to develop. It is to this end that municipalities should endeavour to provide suitable training and development facilities and to utilise it to its fullest extent. Whether the facilities utilised, refers to on-the-job - or off-the-job training, the methods should be applied only after its relevant advantages and disadvantages have been carefully weighed and if it meets the requirements of the specific circumstances of the municipality. The study proves that in South Africa, there is not necessarily a shortage of available municipal manpower, but that a question-mark could be placed after the quality thereof in terms of training and development. It is, therefore, recommended that, in an endeavour to promote training and development activities, the following aspects, inter alia, deserve consideration:
(a) the introduction at school level, of a course in environmental
or public studies; (b) the establishment of a school of municipal government and administration in the Core City of each region specified in
terms of the Regional Services Councils Act, 1985 (Act 109 of 1985);
(c) that municipalities should devise a unique approach to training and development methods; (d) that training sessions should provide for the individual needs of the participants; (e) the publication of an annual report by the Local Training Board giving a detailed exposition of the nature and extent of training individually and collectively undertaken by leading
South African municipalities; (f) the provision of specially designed and well-equipped technical training facilities; and (g) the establishment of resources centres or reading rooms to put periodicals, journals and relevant newspaper articles at the disposal of all the municipal employees. / Thesis (Ph.D.)-University of Durban-Westville, 1985.
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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.Moodley, Kunnagie Ramasamy. January 2006 (has links)
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. / Thesis (M.Ed.)-University of KwaZulu-Natal, Pietermaritzburg, 2006.
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'Profound understanding of fundamental mathematics' and mathematical life histories of some teachers teaching mathematics in the intermediate phase in KwaZulu-Natal.Van Wyk, Andre Mervyn. January 2007 (has links)
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. / Thesis (M.Ed. (School of Education and Development)) - University of KwaZulu-Natal, Pietermaritzburg, 2007.
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The beliefs of preservice teachers about mathematics teaching and learning.January 1999 (has links)
Preservice teachers have had a twelve year "apprenticeship of observation" in the practice of teaching and as a consequence have internalised a set of beliefs about Mathematics teaching and learning. These beliefs are usually implicit but nevertheless influence the teaching practice of the preservice teachers to the extent that they "teach as they were taught." A preservice Mathematics Education course, falling as it does between the prospective teachers' experiences as scholars, and their future teaching experience provides an ideal opportunity for preservice teachers to review their personal beliefs prior to carrying them over to teaching practice. In order to facilitate this review, a series of activities was designed as part of a Mathematics Education course for preservice secondary phase Mathematics teachers. These activities provided opportunities for student teachers to examine their beliefs, to discuss and write about these beliefs, to read about the beliefs of others, and finally to decide whether they wished to retain or modify their personal beliefs. Data on the personal theories of the preservice teachers was obtained from the written responses to various critical incidents, from metaphors for the teaching and learning of Mathematics drawn and described by the preservice teachers, and from interviews with selected participants. These theories were classified into qualitatively different categories. After completing several developmental activities and a five week period of classroom teaching, the preservice teachers were invited to reconsider their personal theories and amend their metaphors. This provided evidence of reflection and development in their thinking. It is contended that the personal theories of preservice teachers are not only reflected in their classroom practice but also function as barriers to impede acceptance of novel ideas and innovations. The findings of this study contribute to the understanding of the thinking of preservice teachers and inform the development of a curriculum for the Mathematics Education component of a Professional Studies course. / Thesis (M.Ed.)-University of Natal, 1999.
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An evaluation of the impact of a life science module on teachers' scientific literacy.Naidoo, Jaqueline Theresa. January 2003 (has links)
The Advanced Certificate in Education Programme was launched in 2002 at the School of Education, Training and Development, University of Natal,
Pietermaritzburg, in an attempt to upgrade and retrain science educators, given the drastic shortage of qualified science educators in South Africa. This research study investigated the development of scientific literacy within a group of fifteen educators during the first semester of their two-year Advanced Certificate in Education Programme. The study focused on scientific literacy and the relationship between language comprehension skills, readability and scientific literacy. This study aimed to examine whether the Natural Sciences and Biological Sciences module of the Advanced Certificate in Education Programme was effective in raising the level of scientific literacy of educators. Both quantitative and qualitative methods were employed in the collection of data. Students wrote a pre-test at the beginning of the first semester and the same test was written as the post-test at the end of the first semester. Semi-structured interviews with tutors were also conducted. Responses of students in the Student Evaluation Questionnaire, given at the end of their first year of study, were analysed to ascertain their perceptions about the tutors, their knowledge and understanding of the content and skills of the modules and the learning material. The questions used in the achievement test were adapted from the question bank of the Science Achievement Test used for Grade 8 learners in the Third International Mathematics and Science Study-Repeat in 1998/1999. The same achievement test was used in the pre-test and post-test, using questions from the Life Science and Scientific Inquiry and the Nature of Science content areas. The results from this research study indicated that although the level of scientific literacy of educators improved, it was not statistically significant. The study also highlights that language and comprehension skills and inability of students to express their answers in writing hampered their performance in the scientific literacy test. This was demonstrated by the significant positive correlation between language comprehension and readability with scientific literacy. Specific areas of conceptual difficulty were also highlighted in this study.
Implications of these findings for further research and delivery of mixed-mode programmes are discussed. / Thesis (M.Ed.) - University of KwaZulu-Natal, Pietermaritzburg, 2003
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