The proliferation in the number of schools offering junior secondary education in Namibia since independence in 1990 has led to an increase in the number of learners in the classroom and has created a wide range of mathematical proficiency among learners entering senior secondary education in grade 11. This broad range of basic mathematical ability among these learners, together with increasing classroom numbers has caused problems for the senior secondary mathematics teachers (Batchelor, 2004). The study shows that diagnostic testing can prove to be useful in assessing learners’ mathematical preparedness by identifying learners’ areas of weakness, which have hindered their mathematics learning and performance. Taking the results of a diagnostic test into consideration could help teachers cater for their learners who need remediation classes as early as possible before extending the mathematics curriculum. Setting and using diagnostic testing requires careful consideration; there are many pitfalls that are highlighted in this research. These include question coverage and general analysis of category totals.

In Namibia today few learners with behavioural and learning problems are within special schools as most are placed within the mainstream school system. Placing these learners within the mainstream system is part of the policy of Inclusive Education (IE) because it argues that this would benefit these learners and also save resources. IE is concerned with addressing barriers to learning and behavioural problems are regarded as one of these barriers. IE argues for a series of new approaches to the diagnosis and response to learners with behavioural problems. This poses challenges for teachers in mainstream schools. Teachers are at the forefront of this situation as they are usually the first to observe and experience the behavioural problems in the schools and are expected to respond appropriately. They find this situation both challenging and problematic. This research explores a sample of teachers’ perceptions of learners’ behavioural problems. To collect in-depth information, this study followed a qualitative approach with a case study design. The data were collected through semi-structured interviews, supplemented with observation and document analysis. The study consisted of fifteen respondents: three principals, three teacher counsellors and nine teachers from the three selected schools. This study illuminates the types of behaviour that teachers encounter, the impact of these behaviours, the factors seen as contributing to these behaviours, and how teachers and the school system deal with these behaviours. In addition the study applies Bronfenbrenner’s bioecological model (1992) to explain how the behaviours manifested by Grade 11 and 12 learners, and identified as problematic by teachers, are part of an interconnected nested social system. The results from the study indicate the manifestation of behavioural problems to be common occurrences in secondary schools are evident, amongst others, through fighting, bullying, substance abuse, truancy, and disrespect of teachers and authority. The teachers pointed to the prevalence of these problems as well as the serious impact such problems have on these learners, their fellow learners, and on the teachers. The teachers identified a complex array of what they saw as contributing factors located within the school, peer groups, family and home circumstances, the local community, as well within the national education policy, the economy and society. The study points to some specific, as well as broader, lessons and opportunities for action both for those managing the education system at the national level and for schools and teachers.

This research report focuses on an investigation of the prevalence and nature of code switching practices in grade 8 mathematics classrooms in the Ohangwena region of Namibia. The existence of code switching in these classrooms was established by administering a survey to all grade 8 teachers in the region, while the nature of these practices was explored by interviewing and observing selected teachers using a case study research methodology. The data from the survey was analysed quantitatively using descriptive statistics, while the qualitative data from the case study which comprised of audio and video transcripts was analysed within the framework of Probyn’s (2006) code switching categories. These categories looked at code switching in terms of: explaining concepts; clarifying statements or questions; emphasising points; making connections with learners’ own contexts and experiences; maintaining the learners’ attention with question tags; classroom management and maintaining discipline; and affective purposes. The study found that code switching is widespread in most of the grade 8 mathematics classrooms in the Ohangwena region. It also revealed that the teachers’ code switching practices aligned well with most of Probyn’s framework. The criterion of maintaining learner’s attention with question tags was however not found in this study. The results of the study showed that teachers code switch because the majority of the learners’ language proficiency is not good. Code switching is mostly used as a strategy to support and promote learners understanding in mathematics. The study recommends that it is high time that code switching is acknowledged as a legitimate practice and recognised as an important and meaningful teaching strategy to assist learners who are learning mathematics in their second language. Code switching needs to be de-stigmatised and teachers should be supported in using this practice effectively and efficiently.

Quality mathematics education relies on effective pedagogy which offers students appropriate and rich opportunities to develop their mathematical proficiency (MP) and intellectual autonomy in learning mathematics. This qualitative case study aimed to explore and analyse selected effective mathematics teachers' proficiency in the area of geometry in five secondary schools in five different Namibia educational regions. The sample was purposefully selected and comprised five mathematics teachers, identified locally as being effective practitioners by their peers, Education Ministry officials and the staff of the University of Namibia (UNAM). The schools where the selected teachers taught were all high performing Namibian schools in terms of students' mathematics performance in the annual national examinations. The general picture of students' poor performance in mathematics in Namibia is no different to other sub-Saharan countries and it is the teachers who unfortunately bear the brunt of the criticism. There are, however, beacons of excellence in Namibia and these often go unnoticed and are seldom written about. It is the purpose of this study to focus on these high achievers and analyse the practices of these teachers so that the rest of Namibia can learn from their practices and experience what is possible in the Namibian context. The mathematical content and context focus of this study was geometry. This qualitative study adopted a multiple case study approach and was framed within an interpretive paradigm. The data were collected through individual questionnaires, classroom lesson observations and in-depth open-ended and semi-structured interviews with the participating teachers. These interviews took the form of post lesson reflective and stimulated recall analysis sessions. An adapted framework based on the Kilpatrick, Swafford and Findell's (2001) five strands of teaching for MP was developed as a conceptual and analytical lens to analyse the selected teachers' practice. The developed coding and the descriptive narrative vignettes of their teaching enabled a qualitative analysis of what teachers said contributed to their effectiveness and how they developed MP in students. An enactivist theoretical lens was used to complement the Kilpatrick et al.'s (2001) analytical framework. This enabled a deeper analysis of teacher teaching practice in terms of their embodied mathematical knowledge, actions and interactions with students. procedural fluency (PF) and productive disposition (PD), were addressed regularly by all five participating teachers. Evidence of addressing either the development of students' strategic competence (SC) or adaptive reasoning (AR) appeared rarely. Of particular interest in this study was that the strand of PD was the glue that held the other four strands of MP together. PD was manifested in many different ways in varying degrees. PD was characterised by a high level of content knowledge, rich personal experience, sustained commitment, effective and careful preparation for lessons, high expectations of themselves and learners, collegiality, passion for mathematics and an excellent work ethic. In addition, the teachers' geometry teaching practices were characterised by making use of real-world connections, manipulatives and representations, encouraging a collaborative approach and working together to show that geometry constituted a bridge between the concrete and abstract. The findings of the study have led me, the author, to suggest a ten (10) principles framework and seven (7) key interrelated factors for effective teaching, as a practical guide for teachers. This study argues that the instructional practices enacted by the participating teachers, who were perceived to be effective, aligned well with practices informed by the five strands of the Kilpatrick et al.'s (2001) model and the four concepts of autopoesis, co-emergence, structural determinism and embodiment of the enactivist approach. The study concludes with recommendations for effective pedagogical practices in the teaching of geometry, and opportunities for further research.

Thesis (MA)--Stellenbosch University, 2014. / ENGLISH ABSTRACT: This study examines the language policy and implementation outside and inside the classroom in a multilingual and multicultural international school. Specifically, it aims at giving an insight into how linguistic and cultural diversity is managed at Windhoek International School (WIS). It takes a specific interest in the kinds of language policy that determine which languages are used in education in a context where both teachers and learners are L1 speakers of a considerable number of different languages. The participants in this study are multilingual learners and teachers of WIS. The study uses data from the school records, a questionnaire, interviews and observation. The analysis of the data is descriptive, interpretive and explanatory. The findings of the study are that the language policy at WIS is articulated in such a manner that it encourages monolingual norms although the school’s community is multilingual. English is the MoI, used in official communication across the school and also as a language of communication with the school’s stakeholders. Other European languages, namely- French, German and Portuguese are officially taught as modern foreign languages. Significantly, none of the local Namibian languages are taught in the school. However, the school does not bar its learners and teachers from using their LotE especially outside of the classroom. The study also shows that the language ecology at WIS demonstrates a situation of polyglossia where English is on top of the language hierarchy. From the findings, it is suggested that since WIS recognises the multilingual and multicultural composition of its learners and teachers, its whole school policy should be looked at again to reflect current thinking in language-in-education policy. The policy should place emphasis on dynamic bilingualism by supporting and encouraging the teaching and learning of LotE, including local indigenous languages, as a means of scaffolding and as a means of bridging knowledge development in the school. However, for purposes of examination, the school should place emphasis on the extensive use of English to enable its learners to meet the requirements of external examiners. / AFRIKAANSE OPSOMMING: Hierdie studie bestudeer die taalbeleid en implementering daarvan binne en buite klaskamerverband, by ‘n veeltalige en multikulturele internasionale skool. Spesifiek, is die doel om insae te gee in hoe talige en kulturele diversiteit by Windhoek Internasionale Skool (WIS) hanteer word. Dit stel belang in die verskillende soorte taalbeleid wat bepaal watter tale in onderrig en leer gebruik word in ‘n konteks waar sowel die onderwysers as die leerders eerstetaalsprekers is van ‘n aansienlike aantal verskillende tale. Die deelnemers in hierdie studie is veeltalige leerders en onderwysers aan die WIS. Die studie gebruik data wat bekom is uit skoolrekords, vraelyste, onderhoude en deur waarneming. Die analise van die data word gedoen in die vorm van beskrywing, interpretasie en verduideliking. Die bevindinge van die studie hou in dat die taalbeleid aan die WIS so geartikuleer is dat dit eentalige norme ondersteun, alhoewel die gemeenskap wat deur die skool bedien word, veeltalig is. Engels is die medium van onderrig (MvO/MoI) aan die skool, word in amptelike kommunikasie binne die skool gebruik, en is ook die kommunikasietaal by alle belanghebbendes van die skool (ouers, borge, ens.). Ander Europese tale, naamlik Frans, Duits en Portugees, word as moderne vreemde tale binne die skool se leerplan aangebied. Heel opvallend, word geeneen van die plaaslike Namibiese tale in die skool aangebied nie. Ten spyte van hierdie taalreëlings word leerders en onderwysers van die skool nie beperk in die gebruik van ander tale as Engels (LotEs) nie, veral buite die klaskamers. Die studie toon aan dat die taalomgewing by WIS tekenend is van ‘n sg. poliglossiese gemeenskap waar Engels in die taalhiërargie bo-aan te staan kom. Die bevindinge suggereer dat die WIS, in die lig van hulle erkenning van die veeltalige en multikulturele samestelling van die leerders en onderwysers, sy skoolbeleid in die geheel behoort te heroorweeg, sodat dit belyn word met die mees resente denke oor taal-in-onderrig-beleid. Die beleid behoort op dinamiese tweetaligheid klem te lê deur die onderrig en leer van ander tale as Engels (LotEs), ook plaaslike inheemse tale, aan te moedig en te ondersteun. Dit moet so gedoen word dat dit as “steierwerk”kan dien in die oorbrugging wat nodig is vir leer deur medium van ‘n tweede of vreemde taal. Daarbenewens word aanbeveel dat die skool vir eksamineringsdoeleindes aandag skenk aan die uitgebreide gebruik van Engels, sodat leerders in staat is om aan die vereistes wat eksterne eksaminatore stel, te beantwoord.

This research sought to investigate the problems experienced in the interpretation of word problems by senior secondary school learners, in particular to see how the language used in the articulation of word problems affects the interpretation. The study was conducted in a school in the Oshikoto region of Namibia, a school located in a semi-rural area of Namibia, and selected owing to the accessibility of the required participants. The research was located within an interpretive paradigm focusing on a study sample of 40 learners from a specified class in the selected school. Data were collected through written tests and a semi-structured interview based on written tests, and a comprehensive descriptive analysis of test results was prepared. The findings of the study indicate that the language in which the word problem was articulated did not make a difference. The performance in both English and Oshindonga tests was almost the same. The findings also indicate that vocabulary, syntactic interpretation, semantic relationships, algebraic skills, and practical sense making in relation to real-life are all important for the successful interpretation and solving of word problems. In view of these findings, the study has provided valuable insights into aspects of the teacher education curriculum that need to be revisited in order to improve the training of teachers In teaching word problems.

This qualitative study reports on critical reflective teaching by three mathematics teachers and how it shapes their classroom practice. The study was carried out in three secondary schools in Rundu in northern Namibia. The study employed a case study method. The selection of teachers was based on their rich practical professional knowledge and exemplary teaching practices. Data collection and analysis was done through an interpretive approach. Interviews and document analyses were the two research tools used, not only for the collection of data but for triangulation also. Interpretations of the findings were validated through member checking. Critical reflective teaching involves thought and action, and it raises teachers’ consciousness of what they do. Through critical reflective practice, teachers scrutinize their beliefs and knowledge of the subject and their practice. Furthermore critical reflective practice may get teachers into a disposition to find alternatives to improve their teaching. In this study, the findings are that participants reflect extensively on their classroom practice. The teachers pointed out that reflection on practice enables them to analyse and evaluate their teaching in line with effective mathematics teaching. They emphasised that critical reflection leads to the identification of weaknesses in teachers’ classroom practice. This culminates in better planning whereby alternative approaches to teaching are exercised. Because of its potential to improve teaching and enhance professional development it is therefore recommended that mathematics teachers be exposed to skills that enhance critical reflective teaching practice. Teachers need to familiarise themselves with the concept of critical reflective teaching in mathematics to meet the demands of superior quality teaching.

The purpose of this research is to evaluate the implementation of the Namibian education policy with particular reference to Senior Secondary education (Grades 11-12) in order to develop analysing skills that will facilitate better understanding of my professional context and enhance my ability to operate within a research environment. The main purpose is to look at the theory that underpins the curriculum and to find out whether that theory is carried through into practice. This contextual analysis is also designed to provide baseline data as I subsequently explore my area of research. The specific objectives of the research are to: • conduct interviews with teachers and learners which may reveal ideological differences on how these various actors perceive the curriculum; • analyse specific areas within the curriculum that might reveal the type of theory underpinning the curriculum; • assess the curriculum in order to identify objectives and goals that may affect the implementation of the intended curriculum.

Shortly after independence, Namibia embarked on a major process of educational reform. It was in this reform that the apartheid educational legacy was redressed. Namibians viewed the apartheid educational system as being irrelevant and that it did not meet their needs and expectations. One of the reform aims was to involve education in the development of knowledge and skills for self sufficiency and sustainable development, therefore Agriculture was incorporated into the school curriculum as a key area to achieve this aim. Learners taking the subject are expected to be equipped with relevant theoretical and practical skills that provide a sound foundation in this discipline. This case study was undertaken to gain a better understanding about how the participating teachers perceived and implemented the Agriculture curriculum at the senior secondary school level in their schools. In carrying out the case study a qualitative research method was employed using semi-structured interviews, observation and document analysis for data collection. It would appear from this study that Agriculture is unable to fully achieve the reform ideals at the senior secondary school level, as sixteen years after independence these teachers are still teaching the subject to learners with very limited resources and academic support. This scenario shows that there are marked inconsistencies between policy and praxis, between the stated goals and aims of the reform and the curriculum designed to achieve these. In this half-thesis I therefore argue that without well qualified teachers, suitable resources and infrastructure to implement the curriculum in these schools, the pre-vocational nature of the subject as suggested in the subject policy document will be compromised. The study concludes by proposing certain teaching strategies and possibilities for systemic development that can be used to effect quality curriculum implementation in the region where the research was situated.

This Portfolio was submitted in 2005 to Rhodes University as a Research Portfolio presented in partial fulfilment of the requirements for the degree of Master of Education in General Education Theory and Practice. The Portfolio consists of seven (7) key parts. The reader of this Portfolio is courteously informed that the structure of this portfolio is to some extent differ from the thesis structure. Thus, the reader should be attentive not to weigh against the two. Further more, I hereby declare that this portfolio is my own work and that all the sources that I have used or quoted have been indicated and acknowledged by means of references indicated at the end of each part. Part 2 and 6 are the core parts of the portfolio. The focal point of part 2 is the contextual curriculum analysis of Grade 8-10 Oshindonga Curriculum in order to investigate its implementation in four educational circuits: Oshigambo, Onathinge, Onyaanya and Omuthiya in Oshikoto Region. Based on the findings of this analysis, lack of critical inquiry and reflective practice among Oshindonga teachers was identified as one of the major obstacles that preventing the effective implementation of the curriculum. Most of these teachers are Basic Education Teacher Diploma (BETD) postgraduates. Thus, part 3 and 4 were developed as supplements to inform the main research paper (part 6) which is related to teacher's professionalism in the classroom. The focus of part 3 (literature review) was on the teacher as a reflective practitioner. This is in line with the Namibian Education Policy, which identifies reflective practice as the heart of teacher professionalism. In this part, I explored a variety of views related to the notion of professionalism in teaching. I have also focused on views related to teacher's professional development both on macro and micro levels. These views provided a clarification and an underpinning framework on which to base my analysis of reflective practice as professionalism in education. Part 4 (education theories) focused on the digging of understanding of knowledge as an important theoretical domain of behaviourist and constructivist theories. I have tried to establish how the two theories (Behaviourist and Constructivist) view knowledge and its acquisition and to gain an understanding of how the two theories have been informing the practice. Subsequently, part 6 meant to investigate and assess the extent to which Basic Education Teacher Diploma postgraduate teachers are autonomously applying the theory of critical inquiry and reflective practice in the classroom. Both part 2 and 6 have findings. There is much correlation between the issues and problems in the implementation of the curriculum as identified in part 2 and the findings of the main research paper (part 6). Though critical inquiry and reflective practice is the key journey towards a high level of reflectivity and one of the significant characters of teacher professionalism in the classroom, most issues and problems identified were related to the insufficient practice of critical inquiry and reflective practices. Low correlation was found between critical inquiry and reflective practice theory and teachers' practices in the classroom. Despite to the fact that various rationales were mentioned as to why critical inquiry and reflective practice successful implementation is not taking place, the study positioned an emphasis on team working at school, cluster and circuit base that could contributed to a great extend to making teachers more competent and supporting themselves in mastering the applicable critical inquiry and reflective practice skills.