An investigation into the nature of mathematical connections selected grade 7 teachers make when teaching fractions : a Namibian case study.
- Authors: Amupolo, Loide M
- Date: 2015
- Subjects: Mathematics -- Study and teaching -- Namibia , Fractions -- Study and teaching -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2016 , http://hdl.handle.net/10962/d1016374
- Description: The general understanding of mathematics as a subject and its implications is, in reality alarmingly low. Evidence of this is evident in learners’ performance and their reaction towards the subject. Fractions as a domain of Mathematics are no exception. The majority of the learners do not learn Fractions comfortably. The causes of this may be varied. However, it is believed that one way of ensuring meaningful teaching and learning is to make use of appropriate connections. The significance and the important role of the teacher in making mathematical connections in learning for understanding are well documented in the literature. This study focuses on the nature of mathematical connections selected Grade 7 teachers make when teaching Fractions, as well as their perceptions of the importance of making such connections. This qualitative case study was conducted in three schools in the Oshana region. The purpose was to investigate how mathematics teachers make connections in fractions. Underpinned by an interpretive paradigm, the study made use of observations and interviews to generate data. The framework borrowed from Businkas’ (2008) study was used in analysing and coding the nature of connections used in the lessons observed. An individual conversation on the nature and perceptions of the connections made in the observed lessons was undertaken with each teacher followed by a focus group discussion that aimed at analysing deeper perceptions on connections. The main findings of the study revealed that teachers made use of all the different types of connections as per Businkas’s framework. The frequency of occurrence showed that Instruction-Oriented Connection and Multiple Representation connections topped the list of connections used. Teachers pointed out that connections to prior knowledge and making multiple representations were most significant, as they related to learners’ existing knowledge and pointed to different ways of solving a problem. The teachers were, however, not familiar with the other connections identified as this was their first experience of interrogating connections. They, however, agreed on the importance of making those connections. The teachers agreed that meaningful connections indeed helped with their conceptual understanding of Mathematics. They believed that connections can increase learners’ interest in school and help reduce negative views of fractions, in particular, and mathematics in general. However, they felt that the limited number of resources, poor teaching approaches and the inability of creating fraction sense may hinder them from making appropriate connections.
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- Date Issued: 2015
Research portfolio
- Authors: Amweenye, Fares Frans
- Date: 2004
- Subjects: Education -- Namibia Educational change -- Namibia College teachers -- Training of -- Namibia Curriculum planning -- Namibia Teaching -- Namibia Universities and colleges -- Curricula
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1730 , http://hdl.handle.net/10962/d1003613
- Description: What is the portfolio and what are its purposes? I must define the portfolio as a summative document bearing the valuable experiences learned in a particular course of study. In this context, portfolio can be viewed as a selective entity that represents the level of learning, in terms of academic/professional growth and development, attained in one's participation in a particular course of study such as this Master one I have been attending. Portfolio can be educationally utilized to reflect and evaluate one's learning. As one goes throughout paging, one locates the level of learning achieved in terms of anticipated knowledge, understanding, and experiences, skills and attitudes or overly learning competencies. The level of development one has gone through in attempts to respond to the expected learning outcomes surface out more easily. And if further learning be conducted, the portfolio must as well shows the ways ahead. With these few words, I have attempted to present the portfolio as a useful tool that represents the level of advancement attained in learning. This portfolio comprises of my educational partaking in Rhodes University's master program (theory and practice, in particular what and how I have gained from that program participation. It may also present what I cold not learn. The arrangement of the portfolio contents assumes a progressive procession, being structured in terms of the assignments taken. There are five pieces of assignments in this research portfolio. The first assignment is a contextual analysis of the Education Theory and Practice (ETP) curriculum of our current teacher education program, namely Basic Education Teachers' Diploma. It looks at the theoretical framework that informs and shapes everyday teaching and learning practices, particularly the degree to which we have been able to implement the theoretical perspectives into operational practices. To this is how our college is equipped with the technologies necessary for possible practices of the curriculum. The other emphasis focuses at the historical backgrounds that necessitated the undertaking of the BETD as an instrument of reforming and transforming the basic education rightly at the independence. The other area is on the question of how the curriculum or program intakers, the entering students, have been prepared to consume the curriculum program. Since the program has been as well designed to address and meet the four major national goals of education for all, another part has been focused on these goals so far as to locate the degree of attainment. The second assignment is about contrasting and comparing the two main held dominant worldwide views of knowledge- namely behaviorism and constructivism. Each branch of knowledge is looked at firstly with particular attentions paid to its own individual versions of knowledge and its development and acquisition. The other focuses examine which base seems to offer better explanations of what knowledge is and how it can best be constructed and acquired in any educational setting. The third assignment is that of literature review. I have chosen action as an area that I would be interested in exploring much further. Action research is what eventually became a part of my research proposal in which I would research on how our college students carry out their action research projects to examine their own classroom makings. It has been therefore important to read what others have written about this field and locate the lessons that can be illuminated on our own curriculum context. The literature review paves the way to the research proposal. The research proposal or a research plan as I would often call it, sets the context, purpose, theoretical position and information gathering methods under which the research process will take place. The research proposal has thus been the navigating compass despite the that realities as the practical journey itself took off some deviation unavoidably came in as necessitated by the underlying research process itself. The research proposal finally accumulates into the sought, the final assignment. A critical view illustrates that this piece is actually another contextual inquiry like the first work only that this is viewing our supposed curriculum outcomes: our students, our products and how they have been equipped to carry out the research. Their research, with its successes and shortcomings, I have concluded, firmly serves to reflect the kind of education delivered from our teacher colleges. The portfolio contents also demonstrate the course orientation: focusing on one's professional field. At end, I see this research portfolio as myself, a mirror that reflects my academic and professional participation in Rhodes University's world and its vision and mission expresses in the theme of where leaders learn. It thus represents the personal, academic and development accomplished throughout this Masters' course. In the other way around, I see it as reflecting what Rhodes can offer as from when the prestigious Augustana College, my American institution, has prepared after its boundaries.
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- Date Issued: 2004
Democratic leadership and management practices in a rural Namibian secondary school
- Authors: Mabuku, Robert Nalisa
- Date: 2010
- Subjects: Educational leadership -- Namibia -- Case studies School management and organization -- Namibia -- Case studies Education, Secondary -- Namibia -- Case studies Educational change -- Namibia -- Case studies
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1489 , http://hdl.handle.net/10962/d1003370
- Description: The primary purpose of this research was to investigate the understanding and implementation of democratic leadership and management in schools by school managers and other members of the school community in leadership and management roles as advocated by the policy of Education for all. The study also aimed at identifying any gaps in the understanding and practice of the participants in order to enhance democratic leadership and management in schools. Qualitative research using the interpretive approach was the methodology employed in order to fulfill the intention of the study, namely to investigate the participants` experiences and understanding of democratic education leadership and management. The case study method was appropriate to understand the meanings the participants attached to their practice in their natural setting. Data were collected by using semi-structured interviews, document analysis, and observation. The sample for the study consisted of ten participants: the principal, the head of department, two School Board members, two senior teachers, two Learner Representative Council members and two class captains. The findings suggest that the participants understood and practised democratic ELM in terms of broader participation, open communication, delegation for empowerment, learning organisation, shared decision-making, shared leadership and teamwork. However, the data suggest areas of concern in the participants` understanding and implementation of the policy which could be strengthened to entrench the policy. The study recommends that education policy makers, education managers, school managers, teachers, parents and learners all work towards improving democratic ELM in schools. In order to achieve this objective, policy makers are urged to avoid ambiguity to enable all implementers to fully understand policies. Education managers could ensure school-wide training on the policy while school managers and other stakeholders should engage in self-reflection and introspection and be more proactive towards improving their own understanding and practice.
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- Date Issued: 2010
An investigation of the challenges facing grade 10 science learners in sense-making of mechanics problems : a case study
- Authors: Malunguza, Julius
- Date: 2009
- Subjects: Science -- Study and teaching (Secondary) -- South Africa -- KwaZulu-Natal -- Case studies Mathematics -- Study and teaching (Secondary) -- South Africa -- KwaZulu-Natal -- Case studies Physical sciences -- Study and teaching (Secondary) -- South Africa -- KwaZulu-Natal -- Case studies
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1647 , http://hdl.handle.net/10962/d1003529
- Description: The research study was conducted at Ixopo High School, an English medium, former model-C, co-educational school in Kwazulu-Natal. The research is located within an interpretive paradigm and is informed by the constructivism theoretical framework. The learners and educators who participated in this research study did so voluntarily. The principal objective of this case study was to investigate the challenges faced by 30 Grade 10 Science learners in understanding the problems posed in the mechanics section of the Physics syllabus. This investigation was carried out using two learning strategies: problem solving and practical work. Various authors have noted some sections in the Physics syllabus are often misunderstood by the learners, for different reasons. From the literature and from the author’s personal experience it was found that mechanics is a topic that the learners of different races and age groups find difficult to conceptualise. In general, learners have misconceptions and make errors in Physical Sciences. Often educators view children’s errors and misconceptions in terms of low intelligence, low mathematical aptitude, perceptual difficulties or learning disabilities instead of attempting to discover the real causes of the errors. Educators need to find out why the learners make these mistakes, in order to help them. In most cases Mathematics forms a basic common element in scientific study. Hence, science learners need to be able to deal with numbers, operations, symbols and mathematical formulae. The term “science” embraces a very wide area of subject matter. Different learners will have widely differing interests within the many subdivisions of this field. This presents a problem when preparing learners for the scientific language they will need to study different branches of science. This implies that failure to understand the meaning of words or symbols inevitably impairs communication. The data analysed was collected using a variety of data collection tools. The main data generation tools were science tasks, structured interviews and group interviews and questionnaires. The analysis revealed that learners were lacking in mathematical skills and science register (terminology). Both first and second language English speakers encountered problems in science register but the study found that the problem was more pronounced in the latter. The findings of this study also highlighted that learners understand how to think mathematically when they are resourceful, flexible, and efficient in their dealing with new mathematical problems in mechanics. However, mathematical problem solving performance is built on the foundation of basic mathematical knowledge. The study suggested that even when the challenges of a general understanding of English as the medium of instruction and scientific language (register) are overcome, learners are still challenged by mathematical problem solving strategies; reading and writing of science; making meanings of symbols and signs; graphs and scientific mathematical equations in sense making of mechanics problems.
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- Date Issued: 2009
An organisation development intervention in a previously disadvantaged school in the Eastern Cape
- Authors: Mitchell, Pauline
- Date: 2005
- Subjects: Educational change -- South Africa -- Eastern Cape Education and state -- South Africa -- Eastern Cape Education -- Social aspects -- South Africa -- Eastern Cape Education -- South Africa -- Eastern Cape School improvement programs -- South Africa -- Eastern Cape -- Case studies Education -- Aims and objectives -- South Africa -- Eastern Cape
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1682 , http://hdl.handle.net/10962/d1003565
- Description: “We often spend too much time coping with problems along our path that we forget why we are on that path” Peter Senge This study describes and analyses the implementation of Organisation Development (OD) to a previously disadvantaged school. OD is a relatively new method of planned change in South Africa. Unlike more traditional change initiatives, OD promotes collaboration; it tries to involve all members of an organisation in problem solving and decision-making. It is an applied behavioural science discipline dedicated to improving organisations and the people in them. Previously disadvantaged schools in South Africa continue to be disadvantaged. Ten years after the introduction of democracy there have been few changes in some of these schools and some seem to be getting worse. This study was an attempt to introduce a process of planned change to one such school. Since 1994 many changes have been imposed on our schools with new curricula, increased class sizes, changes in systems of assessment and teaching methods and the abolishment of past procedures such as corporal punishment. Teachers have had little say in any of these changes and this has resulted in resistance, resignation, frustration and in many cases a lack of ability to cope. OD was introduced to Acacia High School in the form of a Survey Data Feedback (SDF). An action research process followed and a diagnosis was made followed by action planning and then the execution of a plan. My study follows this process and the implementation of the plan describing its successes. Sadly change was not sustained and I highlight some of the challenges that face the school in order to bring about real long-term improvement in the culture of learning and teaching.
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- Date Issued: 2005
Investigating factors inhibiting the implementation of IQMS in a South African school
- Authors: Mji, Lwazi Knowledge
- Date: 2012
- Subjects: Education, Secondary -- South Africa -- Eastern Cape -- Evaluation Educational change -- South Africa -- Eastern Cape Educational leadership -- South Africa -- Eastern Cape School management and organization -- South Africa -- Eastern Cape Teacher effectiveness -- South Africa -- Eastern Cape
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1586 , http://hdl.handle.net/10962/d1003468
- Description: After the 1994 elections education reform has been characterized by the introduction of laws and policies, including IQMS, that seek to reconcile post‐apartheid traditions to practices that would address deficiencies borne by the era in the education field. The IQMS is a clear reaction to the autocratic mode of evaluation that operated during the apartheid era and is a major shift from the old paradigm of external evaluators. It was designed to review performance and identify strengths and weaknesses, encouraging personal and professional development, drawing on peer and collegial feedback rather than official Department of Education surveillance. However, recent studies have shown that the IQMS has failed and is failing to achieve what it was intended to achieve. This study examines the reasons for this failure in a secondary school in the Eastern Cape, South Africa. This research is an interpretive case study that uses observation, document analysis and interviews utilising theories of learning organizations, management and leadership. The study reveals that the policy is not applied in the way it was intended and is failing in this regard. The policy process has been bureaucratised and suffers from superficial compliance. The developmental thrust of the policy seems to have been lost. It was also discovered that the involvement of teacher unions has both positively and negatively affected the implementation process and that the support schools receive from the department is not enough to keep the policy alive in schools. This research is likely to benefit school principals, policy makers and implementers, and IQMS coordinators, as it provides clarity on the issues restraining IQMS implementation in schools. The study also demonstrates the need for school principals to consider adopting transformational leadership as a strategy to lead teachers against political influence and expose them to professional development opportunities.
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- Date Issued: 2012
The perceived impact of policy change on leadership and management : a case study of a Namibian school
- Authors: Moelanjane, Porgarius Porgacy Rukee
- Date: 2005
- Subjects: School management and organization -- Namibia -- Case studies. Educational leadership -- Namibia -- Case studies Educational change -- Namibia -- Case studies Education and state -- Namibia -- Case studies
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1935 , http://hdl.handle.net/10962/d1007670
- Description: The transformation of education has been central to the programme of the first democratically elected government in Namibia, both because of the democratic demands for equality, equity and access, and as a means towards the wider transformation of Namibian community. The study provides a brief history of the pre- and post-independence education policy environment in Namibia with regard to how management and leadership of schools gave rise to opportunities for the development of democratic participation. Adopting an interpretive approach, the study examines several key stakeholders' perceptions of the impact of transformation initiatives on their leadership and management thinking and practice. The sample comprised four teachers, a principal, a director, a school board member, two learners and a hostel matron. The findings reveal that, in order to create a democratic school community, the stakeholders' role is largely a matter of opposing and transcending the contradictions, inadequacies and limitations inherent in the educational ideas, policies and practices caused by the previous Apartheid education system. There is a reasonable amount of success in the implementation process of democratic leadership and management of schools. The findings further highlight contradictory tendencies, in that the Ministry of Basic Education Sports and Culture established a uniform system of education but also entertained the principle of decentralised governance through the introduction of school based management practice incorporating the main stakeholders at local level. The data confirms a communication gap between stakeholders, lack of adequate education and training in participatory management and leadership for learners, parents, teachers and school boards, and insufficient support from the national and the regional authorities. The study concludes with some specific recommendations that might strengthen stakeholders' sense of their participation in democratic practices for longer-term cost effective implementation to occur. This is supported by the belief that education policy change only becomes a reality once understood, owned and appreciated at local level.
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- Date Issued: 2005
An investigation of environmental knowledge among two rural black communities in Natal
- Authors: Mtshali, Cynthia Sibongiseni
- Date: 1995
- Subjects: Wild plants, Edible -- South Africa -- KwaZulu-Natal -- Folklore Zulu (African people) -- Folklore Animals -- Folklore Environmental education -- South Africa Medicinal plants -- South Africa -- KwaZulu-Natal -- Maphumulo Medicinal plants -- South Africa -- KwaZulu-Natal -- Ingwavuma
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1623 , http://hdl.handle.net/10962/d1003505
- Description: This study elicits and documents knowledge of the natural environment amongst two rural Black communities in Natal namely, the districts of Maphumulo and Ingwavuma.Twenty members of these communities who are older than 60 years of age were interviewed, as older people are considered by the researcher to be important repositories of environmental knowledge. This study records a variety of animals hunted in these communities and discusses various activities associated with this activity. It examines the gathering and the use of wild edible plants like fruits and spinach, and of wild plants alleged to have medicinal value. It reviews indigenous knowledge related to custom beliefs and prohibitions as well as traditional laws associated .with animals and trees. It also considers how this knowledge can contribute towards the development of Environmental Education in South Africa. The data was deduced from the responses elicited from semi-structured interviews. The data was analyzed qualitatively.
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- Date Issued: 1995
Exploring how teachers mediate learning of experimental techniques using fermentation and distillation of a traditional brew
- Authors: Paulus, Demetria
- Date: 2017
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/17637 , vital:22266
- Description: Physical Science is one of the subjects in which learners perform poorly in most Namibian schools. For instance, in ║Kharas region where the study was conducted, from 2010 to 2016, the overall performance has ranged between 20-40%. Furthermore, according to the results analysis report from the Directorate of National, Examination and Assessments (DNEA), from 2012 to 2016, the ||Kharas region was ranked 11th, 12th, 13th, 14th and 10th in the regional rankings. From the Examiner’s reports, the most poorly answered questions in the National Senior Certificate examinations are those that require learners to explain and show understanding. Additionally, the reports highlighted that learners lack practical skills or lack exposure to experiments and demonstrations to enhance their understanding (Namibia, 20142015). It is against this background that this study sought to explore how teachers mediate learning of experimental techniques using fermentation and distillation of a traditional brew. In particular, the study addressed the following sub-questions:1) what are Grade 11 Physical Science teachers’ perceptions and experiences on the inclusion of indigenous knowledge during Science lessons? 2) What factors influence Grade 11 Physical Science teachers’ perceptions and experiences on the inclusion of indigenous knowledge? 3) How do Grade 11 Physical Science teachers teach experimental techniques conventionally- fermentation and distillation? 4) How does the inclusion of a practical demonstration on making Ombike enable or constrain Grade 11 Physical Science teachers when explaining concepts on experimental techniques - fermentation and distillation? Thus, the focus was on conceptual understanding through linking content to the context of the learners. The study was underpinned by an interpretive paradigm whose focus is on understanding people’s worldviews. Within the interpretive paradigm, a mixed methods (Quant-QUAL methods) case study approach was employed in two sequential phases with Physical Science teachers at one secondary school in Keetmanshoop. Data were collected using document analysis (to strengthen my context). In the first phase, a questionnaire with closed-ended and open-ended questions was used to gather quantitative and qualitative data from 17 Physical Science teachers. Additionally, I conducted interviews with two Physical Science teachers from one Secondary School in Keetmanshoop who were selected based on their expertise, teaching experience and their qualifications. Quantitative data were analysed using frequency tables and graphs. For phase two, lesson and the practical demonstration observations were videotaped and transcribed inductively. Thematic analysis was used to analyse the qualitative data. The study was informed by Vygotsky’s (1978) socio-cultural theory with a focus on the mediation of learning, social interactions and learner engagement within the learners’ Zone of Proximal Development (ZPD) in conjunction with Shulman’s (1987) theory on pedagogical content knowledge (PCK). The findings of the study indicated that the majority of the Physical Science teachers were aware of and supported the inclusion of IK; on the other hand the teachers indicated some challenges that come with IK integration. Some teachers acknowledged the importance of IK, such as the enhancement of understanding, proving of theories, and arousal of interest and context relevance. However, some teachers felt that there are misconceptions in IK that can be carried into the classroom, IK resources like textbooks are not available, and IK is not integrated in the syllabus and examinations and lack of teacher training inter alia.The study recommends that the Ministry of Education, Arts and Culture especially the Division of Curriculum Planning and Development (NIED) needs to explicitly include IK in the Syllabus documents and suggest the inclusion of IK in the textbooks to the publishers to address these challenges. In order to enhance the teaching and learning with IK in Science, it is critical that teachers’ training workshops are conducted and IK resources are designed so that IK integration can be successfully implemented. For that to happen, it is recognized that the teachers’ PCK should be regularly upgraded through Continuous Professional Development (CPD) by the Subject Advisors (SA) so that the teachers are consistently guided on appropriate teaching methodologies and pedagogies about the inclusion of IK.
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- Date Issued: 2017