Underachievement in Mathematics hangs over South African Mathematics learners like a dark cloud. TIMSS studies over the past decade have confirmed that South African learners‟ results (Grades 8 and 9 in 2011) remained at a low ebb, denying them the opportunity to compete and excel globally in the field of Mathematics. It is against this backdrop that the researcher investigated the meaningful understanding of the important yet challenging algebraic concept of Proportion. The theoretical as well as the empirical underpinnings of the fundamental idea of Proportion are highlighted. The meaningful learning of Algebra was explored and physical, effective and cognitive factors affecting meaningful learning of Algebra, views on Mathematics and learning theories were examined. The research narrowed down to the meaningful understanding of Proportion, misconceptions, and facilitation in developing Proportional reasoning. This study was embedded in an interpretive paradigm and the research design was qualitative in nature. The qualitative data was collected via task sheets and interviews. The sample informing the central phenomenon in the study consisted of a heterogeneous group of learners and comprised a kaleidoscope of nationalities, both genders, a variety of home languages, differing socio-economic statuses and varying cognitive abilities. The findings cannot be generalised. Triangulation of the literature review, the analysis of task sheets and interviews revealed that overall the participants have a meaningful understanding of the Proportion concept. However, a variety of misconceptions were observed in certain cases. Finally, recommendations are made to address the meaningful learning of Proportion and its associated misconceptions. It is hoped that teachers read and act on the recommendations as it is the powerful mind and purposeful teaching of the teacher that can make a difference in uplifting the standard of Mathematics in South African classrooms! / MEd (Mathematics Education), North-West University, Potchefstroom Campus, 2014

Underachievement in Mathematics hangs over South African Mathematics learners like a dark cloud. TIMSS studies over the past decade have confirmed that South African learners‟ results (Grades 8 and 9 in 2011) remained at a low ebb, denying them the opportunity to compete and excel globally in the field of Mathematics. It is against this backdrop that the researcher investigated the meaningful understanding of the important yet challenging algebraic concept of Proportion. The theoretical as well as the empirical underpinnings of the fundamental idea of Proportion are highlighted. The meaningful learning of Algebra was explored and physical, effective and cognitive factors affecting meaningful learning of Algebra, views on Mathematics and learning theories were examined. The research narrowed down to the meaningful understanding of Proportion, misconceptions, and facilitation in developing Proportional reasoning. This study was embedded in an interpretive paradigm and the research design was qualitative in nature. The qualitative data was collected via task sheets and interviews. The sample informing the central phenomenon in the study consisted of a heterogeneous group of learners and comprised a kaleidoscope of nationalities, both genders, a variety of home languages, differing socio-economic statuses and varying cognitive abilities. The findings cannot be generalised. Triangulation of the literature review, the analysis of task sheets and interviews revealed that overall the participants have a meaningful understanding of the Proportion concept. However, a variety of misconceptions were observed in certain cases. Finally, recommendations are made to address the meaningful learning of Proportion and its associated misconceptions. It is hoped that teachers read and act on the recommendations as it is the powerful mind and purposeful teaching of the teacher that can make a difference in uplifting the standard of Mathematics in South African classrooms! / MEd (Mathematics Education), North-West University, Potchefstroom Campus, 2014

Abstracts in English, Sotho and Afrikaans / The purpose of this study was to explore the classroom practices of Senior Phase Natural Sciences teachers in some of the schools of the Vhembe District. Qualitative case study approach was employed and three teachers participated. The following research questions were explored: What is the level of the teacher’s subject-matter knowledge in the teaching of Natural Sciences (NS)? What is the nature of the teacher’s instructional strategies in the teaching of NS? How does the teacher’s subject-matter knowledge and instructional strategies shape the teachers’ classroom interaction and discourse in the teaching of NS? Interviews, observations and a questionnaire have been used for data collection. Teachers used their teaching experiences to teach NS. Results indicated lack of teachers, facilities and resources. It is recommended that the Department of Education as an arm of government should see that schools have the facilities, resources and teachers they need for proper teaching and learning as well as providing sufficient workshops to improve teachers’ classroom practices. / Sepheo sa thuto ena e ne e le ho hlahloba mekhoa ea litlelase tsa matichere a Phahameng ea Setsebi sa Tlhaho ea Setsebi tse ling tsa sekolo sa Vhembe. Ho ne ho sebelisoa mokhoa o nepahetseng oa ho ithuta litsebo le matichere a mararo. Lipotso tse latelang tsa lipatlisiso li ile tsa hlahlojoa: Mokhoa oa mosuoe oa mosuoe ke oa mofuta ofe thutong ea Saense ea tlhaho? Mokhoa oa mekhoa ea koetliso ea tichere ke efe tabeng ea thuto ea saense ea tlhaho? Mosuoe oa mosuoe o tseba joang le mekhoa ea ho ruta e amanang le ho sebelisana ha tichere le ho bua ka thutho ea saense ea tlhaho? Lipuisano, litlhaloso le lipotso. E sebeliselitsoe ho bokella data. Barupeluao ba ile ba sebelisa liphihlelo tsa bona tsa thutho ho ruta saense ea tlhaho. Liphello li bonst’a ho haelloa ke matichere a saense ea tlhaho, mehaho le thepa. Ho khothalletsoa hore Muso le Lefapha la Thuto lo bone hore likolo li na le mehaho, lisebelisoa le matichere bakeng sa thuto le thutho e nepahetseng hammoho le ho fana ka lithupelo tse lekaneng bakeng sa ho ntlafatsa mekhoa ea matichere ea tlelase. / Die doel van die studie was om die klaskamerpraktyke van senior Fase Natuurwetenskappe-onderwysers in sommige skole van skole in die Vhembe-distrik te ondersoek. Kwantitatiewe gevallestudie-benadering was in diens en drie onderwysers het deelgeneem. Die volgende navorsingsvrae is ondersoek: Wat is die aard van die onderwyser se onderwyser kennis in die onderrig van Natuurwetenskappe? Wat is die aard van onderwyser se onderrigstrategiee in die onderrig van Natuurwetenskappe? Hoe vorm die onderwyser se kennis en onderrigstrategiee die onderwyser se klasinteraksie en-diskoers in die onderrig van Natuurwetenskappe? Onderhoude, waarnemings en vraelys wat gebruik word vir data-insameling. Deelnemers het hul onderrigervarings gebruik om Natuurwetenskappe te onderrig. Resultate dui op gebrek aan Natuurwetenskappeonderwysers, fasiliteite en-bronne. Dit word aanbeveel dat die regering en die Departement van Onderwys moet sien dat skole fasiliteite, hulpbronne en onderwysers het vir behoorlike onderrig en leer, asook voldoende werkwinkels om onderwysers se klaskamerpraktyke te verbeter. / Science and Technology Education / M. Ed. (Natural Science Education)