The emergence of distributed leadership theory encourages multiple involvement of individuals in leadership of the school, regardless of their leadership positions (Spillane, 2006). The manifestation of teacher leadership through distributed leadership theory grants opportunities to teachers to enact leadership roles. This study explored how the notion of teacher leadership is understood, the leadership roles existing for the beginner teachers, and the constraining and enabling factors to the practice of teacher leadership in a rural combined school in Ohangwena region, in Namibia. The study is a formative intervention adopting a case study approach located in a critical paradigm since it aimed to bring changes in the activity system of the beginner teachers. The data were collected from ten participants: four beginner teachers, four experienced teachers, the principal and the Head of Department. The data were generated using the following techniques: document analysis, interview, questionnaires, observation and Change Laboratory workshops. The data were analysed thematically using second generation of Cultural Historical Activity Theory (CHAT) and Grant’s (2006, 2008, 2010) Teacher Leadership Model. The findings revealed that there were different understandings of the concept of teacher leadership. It was viewed as participation, influence, motivation and mentoring. It was also revealed that beginner teachers practiced leadership roles across the four zones of Grant’s (2006, 2008, 2010) Teacher Leadership Model, but to various extents. A high participation was noted in zone one within the classroom and zone two in curricular and extra-curricular activities and minimal participation was reported in zone three within the whole school development and zone four beyond the school into the community. Teacher leadership in the case study school was constrained by several factors, including teachers’ reluctance to lead, cultural beliefs, top-down leadership structure and lack of experience. Due to the minimal participation of beginner teachers in zone three and four, the findings suggested that the school should foster a collaborative culture, establish induction and mentoring committees in the school and encourage beginner teachers to take up leadership roles by providing opportunities for them to lead through delegation. In a series of Change Laboratory workshops (CLW) the principal and the Head of Department took up the responsibility of providing leadership training to the teachers to enable them to assume leadership roles in the school. In addition, participants agreed to establish induction and mentoring committees in the school to provide guidance and assistance to teacher leaders.

Visualisation in general and visualisation processes in particular have received much attention in the mathematics education research literature. Literature suggests that the appropriate use of visualisation helps learners to develop their conceptual understanding and skills of geometry as it allows them to visually interpret and understand fundamental mathematical and geometrical concepts. It is claimed that visual tools play an important role in communicating mathematical ideas through diagrams, gestures, images, sketches or drawings. Learning mathematics through visualisation can be a powerful tool to explore mathematical problems and give meaning to mathematical concepts and relationships between them. This interpretive case study focused on how selected teachers taught concepts in geometry through visualisation processes for conceptual understanding as a result of an intervention programme. The study was conducted at four high schools by four mathematics teachers in the Kavango East Region in Northern Namibia. The participants were involved in a three-week intervention programme and afterwards taught three lessons each on the topic of geometry. The data collection method of this research was: focus group and stimulus recall interviews, classroom observations and recorded videos. This research is located in constructivism. I used vertical and horizontal analysis strategies to analyse the data. My analytical instrument consisted of an observation schedule which I used in each lesson to identify how each of the visualisation processes was evident in each of the observed lessons. This study revealed that the participant teachers used visualisation processes in most of their lessons and these processes were used accurately in line with the requirements of the grade 8 mathematics syllabi. The visualisation processes were used through designed visual materials, posters and through the use of geometrical objects such as chalkboard ruler, protractor and compass. The results from this study also confirmed that visualisation processes can be a powerful instructional tool for enhancing learners’ conceptual understanding of geometry.

It can be argued that the Namibian curriculum is largely influenced by a Western epistemology. However, many studies suggest that learners make powerful meanings of mathematical concepts they are learning if they visualise these and experience them in relation to what they already know from their own cultural backgrounds. According to the Namibian National Curriculum for Basic Education (NNCBE, 2010), it is not only important for learners to acquire mathematical knowledge and skills, but also to develop and grow their identities, cultures and values as individuals. The aim of this study was to explore and investigate how selected mathematics teachers employ visualisation as a teaching approach to re-contextualise indigenous knowledge (IK). The study set out to explore how conceptual understanding is enhanced by participation in an intervention programme. The use of visualisation is considered an important mediating and pedagogical tool in the mathematics classroom to enhance the mathematics learning of learners. The research is informed by a socio-cultural theory of learning and is located within an interpretive paradigm. The study was conducted at four schools in the Oshana region of Namibia and involved four mathematics teachers who were purposefully selected due to their willingness to use visualisation-IK approaches in their teaching, based on their responses to the survey. The methodologies used are qualitative and quantitative case study. To gather data, document analysis, a survey, lesson observations and focus group interviews were used. The study found that most teachers in the Oshana region have an understanding of the effective use of visualisation-IK approaches. However, the study revealed that visualisation- IK approaches are mostly used in grades 4 to 7 mathematics classrooms. It also discovered that most of the visualisation approaches that teachers employed aligned well with the curriculum and promoted conceptual understanding in the teaching of mathematics. The results of the study showed that teachers have experience of the enabling and constraining factors in using a visualisation-IK approach to teaching mathematics.

The purpose of this study was to explore how teachers’ practice either supports or constrains learners’ conceptual understanding. The study is structured within an interpretive paradigm. The research takes the form of a case study and focused on the teaching practice of two purposefully selected teachers who had been identified as being effective/successful practitioners. The data was collected in two stages. In the first stage, qualitative data was collected by video recording six classroom lessons, three for each of the two participating teachers. In stage 2, participating teachers were individually interviewed. In these interviews the two participating teachers were asked to reflect on their classroom practice, through a process of stimulated recall, where their actions seemed to either support or constrain the development of learners’ conceptual understanding. The study identified a number of elements of the two teachers’ practice that related to the development of learners’ conceptual understanding in the classroom. These include building on learners’ prior knowledge, the use of concrete manipulatives, questioning that promotes critical thinking, and the use of multiple representations and connections. The study also identified elements of the two teachers’ practice that had the potential to constrain the development of learners’ conceptual understanding. These include the lack of opportunities for co-operative or peer-oriented learning, the absence of questioning that leads to discussion, and a scarcity of activities that build mathematical concepts through hands-on engagement. The study highlights the need for supporting teachers and helping them strengthen their practice with regard to those activities that support the development of conceptual understanding in their learners.

The purpose of this study was to investigate the nature of mathematical connections used by selected teachers when teaching the topic of algebra and to investigate their perceptions of their use of connections. The participants were selected on the basis of teaching experience as well as their willingness to share their ideas. An interpretive paradigm was used to collect and analyse data. The data was collected from three participating teachers. These participants were selected from the three secondary schools in the town of Tsumeb in Namibia. I used video recordings of two lessons per teacher as well as semi-structured interviews as my tools to gather data. After the two lessons were video recorded, I conducted a workshop with the teachers to introduce them to the 5 types of mathematical connections pertinent to this study. We analysed the videos together using Businskas' framework as a basis for analysis. This then formed part of the stimulated recall interviews. It was found that, even though teachers were not aware of the concept of mathematical connections before our interactions, there was strong evidence of connections being made and used in their lessons. The two types of connections that were used most frequently (24.1 percent each) were procedural and instruction-oriented connections respectively. Part-whole relationships connections were used the least with a frequency of 12 percent. All three teachers agreed that they needed to make more connections when teaching and that they would think more about connections in future, particularly when preparing their lessons. The study makes recommendations to encourage the continuous use of connections in teaching mathematics.

The accountability and responsibilities of school leaders have intensified greatly over the past decades and school leadership has become a strong focus of research. Meanwhile, Bush (2003) asserts that “school leaders [experience] tensions between competing elements of leadership, management and administration” (p. 7). This study uses observations, questionnaires, interviews and document analysis to unpack the perceptions of four Heads of Department (HoDs), the principal, and eight teachers on the tensions inherent in balancing the responsibilities of department head and subject teacher for HoDs in public secondary school. The study goes beyond the mere task of influence in its attempts to unpack how the leadership and teaching practices of HoDs may, or may not, be in conflict with each other. Using distributed leadership as a theoretical framing and drawing in particular on the work of Spillane and colleagues (2001; 2004), the study examines the roles HoDs enact; the challenges HoDs encounter in enacting their responsibilities as department head and subject teacher; and the strategies HoDs employ to combat the emerging challenges. The study found that the roles of HoDs are extensive and stretch across the classroom, the department, the whole school and beyond. However, the majority of these roles are biased in favour of management systems and processes and opportunities for leadership are rare. The many and extensive management responsibilities of the HoDs limit both their classroom teaching as well as their agency as leaders. The weight of their management work thus restricts their leadership, resulting in an authorised form of distributed leadership (Grant, 2010). The data also revealed that HoDs struggle to balance the responsibilities of department head and subject teacher due to both inter-role and intra-sender conflict. However, the study also found that the HoDs strategically adopt a range of strategies to assist them in doing their work, these include: compensatory teaching; delegation; and planning and prioritizing.

Stoichiometry is proven to be one of the difficult topics for learners in the NSSC Physical Science syllabus due to its abstract nature. Over the years the Examiner’s reports reveal that learners' performance is very poor in this topic. In addition, learners fear the topic and have developed a negative attitude toward it. It is against this background that I decided to carry out a qualitative case study; investigating how teachers mediate the learning of stoichiometry. The study was conducted at two schools in the Oshikoto Region, Namibia and it involved two grade 11 Physical Science teachers. The study is located within the interpretive paradigm and made use of interviews, document analysis and lesson observations (which were video-taped and transcribed) followed by stimulated recall interviews to generate data. The generated data were analyzed using the inductive approach whereby themes were identified. The themes were later used to develop analytical statements in relation to my research questions and these were used to interpret the data. Moreover, the study adopted the notion of pedagogical content knowledge (PCK) proposed by Shulman (1986, 1987) as well as Vygotsky's (1978) mediation of learning and social constructivism as the theoretical frameworks. The data were validated by triangulation, member checking as well as using the stimulated recall interviews while watching the videos with each participant. The findings of the study show that teachers use several tools to mediate the learning process and this includes the use of language, learners' prior knowledge and analogies. In addition, it emerged in this study that teachers are faced with a number of challenges when mediating learning of this topic. Hence, the study recommends that teachers should develop their pedagogical content knowledge for them to effectively eliminate the challenges faced as well as to come up with the best teaching strategies which they can use to mediate learning and help learners make sense of the topic stoichiometry.

One of the challenges facing education systems worldwide is the motivation of qualified teachers to teach at rural schools. Teaching at rural schools is a challenge as rural areas are characterised by adverse living and working conditions, making qualified teachers prefer living and working at urban schools where conditions are more comfortable. Namibia implemented the financial incentive to motivate qualified teachers to teach at rural schools and improve learner performance. The implementation of the financial incentive in Namibia has received little research attention in establishing its effectiveness. The purpose of this study was to evaluate the effectiveness of the financial incentive on the performance of learners at rural schools, as this performance relates to teacher motivation. To achieve this, a literature study and an empirical investigation were conducted. An interpretivist research paradigm informed the methodology for the study. A mixed-methods research approach, which relied more on a qualitative research design, included a research sample of 28 teachers, five school principals and two education officials. Data were collected through interviews and document analysis. Individual interviews were conducted with education officials and school principals. Focus group interviews were conducted with teachers. Document analysis entailed accessing applicable documents of each research site in the office of the school principal. Textual data were analysed and presented thematically and numeric data were analysed and presented as frequencies and percentages. Key findings established that financial incentive has contributed little to the performance of learners in rural schools. The fact that rural schools are not properly categorised according to environmental challenges results in teachers not receiving realistic financial incentive. Teachers were therefore not motivated by financial incentive, but by other factors relating to being tuned to nature in rural areas, being exposed to lower living costs and enjoying accommodating school leadership and community care. A revisiting of the implementation of the financial incentive is recommended in order to negate shortcomings and enhance the potential of financial incentive to contribute to improved learner performance as steered by motivated teachers. / Educational Studies / Ph. D. (Education)

This sequential explorative mixed methods study aims to explore how selfassessment strategies can be used to enhance quality education in schools in the Zambezi region of Namibia. The researcher posits that teachers are key in enhancing quality education if accorded appropriate recourses to innovate and explore the use of self-assessment strategies in schools. A pragmatic research approach was used to guide this sequential explorative mixed methods study. The study sought participants’ perceptions on four sub-problems of the study: What entails quality and quality education? How can self-assessment strategies be linked to quality and quality education in general terms? What recourses are available to ensure that quality education is realised by the use of self-assessment strategies in the Zambezi region? How can self-assessment strategy models be developed to enhance the quality of education in the Zambezi region? Purposefully sampled school principals and heads of departments of five combined schools participated in the study. During the first phase, face-to-face interviews were conducted with the five participating school principals while the HoDs were engaged in a focus group interview. The qualitative data was later used to inform the design of the second phase of the study (quantitative). In the second phase, fifty-four teachers completed Likert-scale questionnaires which were analysed using IBM SPSS.19 and Microsoft Excel to compare with the qualitative data. This study revealed that schools have common understandings of quality and quality education albeit defined differently. The study also revealed that external professional support is inadequate to support teachers in continuous professional development activities. Furthermore, the study showed that the available recourses are seldom utilised to enhance quality education in schools. Finally, the study revealed that the use of one type of teacher self-evaluation (TSE) deprives innovative teachers from initiating and exploring other viable self-assessment strategies. Therefore, this study propagates the use of alternative self-assessment strategies that can contribute towards the enhancement of quality education in schools in the Zambezi region of Namibia. / Educational Leadership and Management / D. Ed.

Namibia is one of the countries with distinct historical education systems that shifted from the traditional teacher-centred approach to learner-centred approach to improve learning outcomes. Despite for the call upon secondary school teachers in Namibia to adopt the learner-centred approach, the pass rates for Grade 10 Junior Secondary Certificate (JSC) in Namibia remains very low with about 50% of the Grade 10 JSC learners failing to make it for senior secondary level. Therefore, this study sought to explore science teachers’ knowledge, practice and perception of learner-centred approach. This study employed a pragmatic approach using an explanatory sequential mixedmethods design to collect quantitative data first and then explaining the quantitative results with in-depth qualitative data. The structured questionnaire, interview protocol and observation protocol were used as research instruments to collect data from a sample of 20 participants. The quantitative data analysis was used for the data collected by the questionnaire while qualitative data analysis was used for the data collected by interview and the observation protocols. The results showed an understanding of learner-centred approach and most teachers use a mixed approach to teaching that incorporates both learner-centred approach and teacher-centred approach. Furthermore, results showed that teachers view learner-centred approach as effective but its effectiveness is reduced by poor participation of learners, large class sizes and inadequate instructional materials. Following the results, it was recommended that the Ministry of Education and education policy makers must consider strategies to reduce challenges to the effectiveness of learner-centred approach to improve learner performance. / Science and Technology Education / M. Ed. (Natural Science Education)