Summaries in Afrikaans and English / Outcomes-Based Education forms the foundation of South Africa's revised national education curriculum, known as The Revised National Curriculum Statement Grades R-9. The Van Hiele Model, developed for the teaching and learning of geometry, has already been used successfully in the school curricula of the Netherlands and Russia. Strong support for this theory exists in leading countries like America and Europe. This study has investigated the possible relationship between the Van Hiele theory and the "Revised National Curriculum Statement Grades R-9" and through critical evaluation found a great compatibility between them. Both are giving strong support for the spiral approach to mathematics education. It is recommended that all geometry learning programmes and teaching units be moulded on the Van Hiele Model. / Suid-Afrika se hersiene nasionale onderwyskurrikulum, die "Revised National Curriculum Statement Grades R-9" word deur uitkomsgebaseerde onderwys gefundeer. Die Van Hiele Model vir die onderrig en leer van meetkunde, is suksesvol in skoolkurrikula van Nederland en Rusland toegepas en geniet wye steun in lande soos Amerika en Europa. Hierdie navorsing het die moontlike verband tussen die Van Hiele raamwerk en die nuwe kurrikulum ondersoek en deur kritiese evaluering baie sterk versoenbaarheid tussen die "Revised National Curriculum Statement Grades R-9" en die Van Hiele Model gevind. Verder is ook aangetoon dat beide sterk gebruik maak van die spiraalbenadering in wiskundeonderwys. Aanbevelings in die verband is dat leerprogramme en onderrigeenhede wat die kurrikulum vir meetkunde in skole implementeer op die Van Hiele Model geskoei word. / Mathematical Sciences / M. Sc. (Mathematics Education)

Summaries in Afrikaans and English / Outcomes-Based Education forms the foundation of South Africa's revised national education curriculum, known as The Revised National Curriculum Statement Grades R-9. The Van Hiele Model, developed for the teaching and learning of geometry, has already been used successfully in the school curricula of the Netherlands and Russia. Strong support for this theory exists in leading countries like America and Europe. This study has investigated the possible relationship between the Van Hiele theory and the "Revised National Curriculum Statement Grades R-9" and through critical evaluation found a great compatibility between them. Both are giving strong support for the spiral approach to mathematics education. It is recommended that all geometry learning programmes and teaching units be moulded on the Van Hiele Model. / Suid-Afrika se hersiene nasionale onderwyskurrikulum, die "Revised National Curriculum Statement Grades R-9" word deur uitkomsgebaseerde onderwys gefundeer. Die Van Hiele Model vir die onderrig en leer van meetkunde, is suksesvol in skoolkurrikula van Nederland en Rusland toegepas en geniet wye steun in lande soos Amerika en Europa. Hierdie navorsing het die moontlike verband tussen die Van Hiele raamwerk en die nuwe kurrikulum ondersoek en deur kritiese evaluering baie sterk versoenbaarheid tussen die "Revised National Curriculum Statement Grades R-9" en die Van Hiele Model gevind. Verder is ook aangetoon dat beide sterk gebruik maak van die spiraalbenadering in wiskundeonderwys. Aanbevelings in die verband is dat leerprogramme en onderrigeenhede wat die kurrikulum vir meetkunde in skole implementeer op die Van Hiele Model geskoei word. / Mathematical Sciences / M. Sc. (Mathematics Education)

Mathematics achievement has received much attention in recent years and results have been presented after examining results from different counties. This contribution deals with the implementation of new Mathematic promotion requirements in Namibia. The research was conducted in Shambyu circuit, Kavango region, within a selected combined public school situated fifteen kilometres from Rundu in the North-Eastern part of Kavango. Teachers and learners in Namibia have not performed well in the Southern and Eastern Africa Consortium for Monitoring Educational Quality (SACMEQ) projects, especially in Mathematics. The implementation of new promotion requirements was inevitable for improving achievement levels. The main aim of this study is to document the attitudes of teachers and learners towards the introduction of the new 2010 Mathematics promotion requirements. The complexity and the nature of attitudes are illustrated and some of the characteristics related to teaching and learning of Mathematics in the academic reform are presented. The researcher developed a conceptual framework to compare and contrast the theoretical positions on the topic. Attitude is defined from diverse perspectives, and relationships of attitudes pertaining to achievement to perform in Mathematics are argued. A qualitative case study was the preferred method of choice. The participants were sampled according to a non-probability purposive sampling strategy. Five teachers, six grade 7 and six grade 9 learners participated in the study. The participants were interviewed to gain insight into how they formulated their attitudes towards the implementation of the academic reform. Focus group interviews were captured though audio recordings. Patterns, themes and categories emerged from the data analysis, suggesting that teachers and learners demonstrate positive and negative attitudes which affect their stance towards the new promotion requirements. Research findings were compared with the relevant literature to identify strengths and weaknesses as extracted from the attitudes of the participating teachers and learners which confirm that attitudes of teachers and learners interrelate and affect teaching and learning of Mathematics. Strengths and weaknesses extracted from the attitudes of the teachers relate to teaching strategies, pedagogical content knowledge and practical application of the subject. A weakness of the policy change is that the Ministry of Education does not sustain involvement. Teachers need support through workshops to increase their pedagogical content knowledge and gain more information about the implementation of the new policy. Furthermore teachers expect educational support from the Ministry of Education through the provision of textbooks and teaching aids. Collaboration between teachers is crucial, as is the significance thereof for developing pedagogical content knowledge for the implementation of the new Mathematical policy. Strengths and weaknesses extracted from attitudes as viewed by learners in grade 9 are more related to their opinions about the teachers, their motivation and academic achievements. Learners’ natural Mathematics skills should be developed to instill feelings of accomplishment. Grade 9 learners experience fear and insecurity in Mathematics because learners experience teachers as too strict, owing to the absence of pedagogical content knowledge. The grade 9 learners distinguish the importance of ICT use in Mathematics as part of a process to prepare them towards greater goals and practical application as a strength. Both advantages and disadvantages of beliefs regarding Mathematics amongst the teachers and the learners guide grade 7 learner towards achievement. Further expectations drive the grade 7 learners towards achievement in order to increase career opportunities and level of schooling. In conclusion the in-depth qualitative exploration is summarized in order to investigate the phenomenon of attitudes towards Mathematics and academic reform. / Thesis (MEd (Mathematics Education))--North-West University, Potchefstroom Campus, 2013.

Mathematics achievement has received much attention in recent years and results have been presented after examining results from different counties. This contribution deals with the implementation of new Mathematic promotion requirements in Namibia. The research was conducted in Shambyu circuit, Kavango region, within a selected combined public school situated fifteen kilometres from Rundu in the North-Eastern part of Kavango. Teachers and learners in Namibia have not performed well in the Southern and Eastern Africa Consortium for Monitoring Educational Quality (SACMEQ) projects, especially in Mathematics. The implementation of new promotion requirements was inevitable for improving achievement levels. The main aim of this study is to document the attitudes of teachers and learners towards the introduction of the new 2010 Mathematics promotion requirements. The complexity and the nature of attitudes are illustrated and some of the characteristics related to teaching and learning of Mathematics in the academic reform are presented. The researcher developed a conceptual framework to compare and contrast the theoretical positions on the topic. Attitude is defined from diverse perspectives, and relationships of attitudes pertaining to achievement to perform in Mathematics are argued. A qualitative case study was the preferred method of choice. The participants were sampled according to a non-probability purposive sampling strategy. Five teachers, six grade 7 and six grade 9 learners participated in the study. The participants were interviewed to gain insight into how they formulated their attitudes towards the implementation of the academic reform. Focus group interviews were captured though audio recordings. Patterns, themes and categories emerged from the data analysis, suggesting that teachers and learners demonstrate positive and negative attitudes which affect their stance towards the new promotion requirements. Research findings were compared with the relevant literature to identify strengths and weaknesses as extracted from the attitudes of the participating teachers and learners which confirm that attitudes of teachers and learners interrelate and affect teaching and learning of Mathematics. Strengths and weaknesses extracted from the attitudes of the teachers relate to teaching strategies, pedagogical content knowledge and practical application of the subject. A weakness of the policy change is that the Ministry of Education does not sustain involvement. Teachers need support through workshops to increase their pedagogical content knowledge and gain more information about the implementation of the new policy. Furthermore teachers expect educational support from the Ministry of Education through the provision of textbooks and teaching aids. Collaboration between teachers is crucial, as is the significance thereof for developing pedagogical content knowledge for the implementation of the new Mathematical policy. Strengths and weaknesses extracted from attitudes as viewed by learners in grade 9 are more related to their opinions about the teachers, their motivation and academic achievements. Learners’ natural Mathematics skills should be developed to instill feelings of accomplishment. Grade 9 learners experience fear and insecurity in Mathematics because learners experience teachers as too strict, owing to the absence of pedagogical content knowledge. The grade 9 learners distinguish the importance of ICT use in Mathematics as part of a process to prepare them towards greater goals and practical application as a strength. Both advantages and disadvantages of beliefs regarding Mathematics amongst the teachers and the learners guide grade 7 learner towards achievement. Further expectations drive the grade 7 learners towards achievement in order to increase career opportunities and level of schooling. In conclusion the in-depth qualitative exploration is summarized in order to investigate the phenomenon of attitudes towards Mathematics and academic reform. / Thesis (MEd (Mathematics Education))--North-West University, Potchefstroom Campus, 2013.

The South African education system has experienced a paradigm shift from content-based education towards an outcomes-based education. The focus of outcomes-based education is a learner-centred approach. The criteria that learners should adhere to at the end of their school career are that they should be productive, successful lifelong learners. To achieve these criteria, learners should be able to maximise their own potential. The world of work requires learners to easily adapt and function effectively in groups and to have the ability to achieve the set criteria. This means that the world of work demands productive, critical, independent learners who are able to express themselves and communicate effectively within social situations. The question that arises is whether learners within the South African context have the ability to create opportunities to claim ownership and take responsibility for their own learning. The focus of this research is therefore on the role of maximising human potential as determined by the need of South African learners to be empowered and well prepared for the demands of the world of work. The literature pertaining to the nature, phenomenon and process of maximising of human potential is briefly examined and the fundamentals are identified. Maximising of human potential is contextualised as a component of the educational phenomenon. An observation study of two classgroups consisting of grade 8 and grade 10 learners respectively from the same school was undertaken in order to identify and determine whether learners within a realistic, diverse school setting are capable of maximising their own potential. Profiles were compiled to underline the socio-economic background of each learner and to serve as a mechanism to indicate and underline diversity in the classroom. Interviews with teachers and learners served as cross-validation of these results. The results revealed that learners from the school were demotivated with regard to maximising their potential. As a qualitative study, the final results indicated trends that may be generalised to similar classrooms. The phenomenon of maximising of human potential is based on the principle of outcomes-based education and should be the focus of learning in every classroom. Guidelines and models for a facilitator training programme in maximising human potential are suggested. The findings of the study indicate that by virtue of the fact that the teaching and learning process is to be approached from a new angle, teachers first need to have a changed perspective or execute a philosophical leap before they are able to maximise the potential of learners in the classroom. Recommendations for the future include, amongst others, that the teacher should be seen as a facilitator of opportunities for learner contributions; that because of the new and exciting demands made on the teacher by this approach, knowledge and expertise regarding maximising of human potential as didactic practice should be made available; that a longitudinal observation study of teachers who received such training, and their pupils, is undertaken as a follow-up study in order to evaluate the results of the training; and that further research is undertaken locally as well as in other countries where the maximising of human potential in language as learning phenomenon is already being practiced. / Dissertation (MEd (Curriculum Studies))--University of Pretoria, 2006. / Curriculum Studies / unrestricted

ABSTRACT The study aims at establishing whether Foundation Phase schooling provides a proper foundation for the promotion of scientific literacy. Natural Science in the Foundation Phase is understood as scientific knowledge, process skills, and values and attitudes, which together should foster scientific literacy. Influential perspectives on learning, and teaching methods appropriate to Natural Science education in the Foundation Phase, are reviewed, and the Natural Science Learning Area in the RNCS discussed in the context of global trends in curriculum development. Finally the findings of an empirical survey on the perceptions of Foundation Phase teachers with regard to Natural Science teaching and learning, are presented. Major findings include the following: (1) Scientific literacy is currently not a curriculum priority in the Foundation Phase, due mainly to meagre time allocation and lack of applicable Learning Outcomes. (2) Although teachers appear predominantly positive towards the Learning Area, significant shortcomings need to be addressed before Natural Science teaching in the Foundation Phase may claim to provide the required basis for promoting scientific literacy. OPSOMMING Die studie poog om vas te stel of Grondslagfase-onderrig `n geskikte basis lê vir die bevordering van wetenskaplike geletterdheid. Natuurwetenskappe in die Grondslagfase word beskou as `n kombinasie van wetenskaplike kennis, prosesvaardighede, en waardes en ingesteldhede, wat gesamentlik wetenskaplike geletterdheid ten doel het. Invloedryke perspektiewe op leer, en gepaste onderrigmetodes vir die effektiewe fasilitering van Natuurwetenskappe-onderrig in die Grondslagfase word onder die loep geneem voordat die Natuurwetenskappe-leerarea in die Hersiene Nasionale Kurrikulumverklaring bespreek word binne die konteks van wêreldwye neigings in kurrikulumontwikkeling. Laastens rapporterr die studie die bevindinge van `n empiriese ondersoek na die persepsies van Grondslagfase-onderwysers rakende Natuurwetenskaponderrig en -leer. Belangrike bevinding sluit in: (1) Die bevordering van wetenskaplike geletterdheid word nie as kurrikulumprioriteit in die Grondslagfase beskou word nie, soos blyk uit die karige toedeling van tyd en aantal leeruitkomste aan die Natuurwetenskappe-leerarea op hierdie vlak. (2) Alhoewel onderwysers se persepsies rakende Natuurwetenskaponderrig en -leer oorwegend positief blyk te wees, is daar ernstige tekortkominge wat aangespreek moet word voordat Natuurwetenskappe-onderrig in die Grondslagfase die vereiste grondslag sal kan lê vir die bevordering van wetenskaplike geletterdheid. / Educational Studies / M.Ed.

ABSTRACT The study aims at establishing whether Foundation Phase schooling provides a proper foundation for the promotion of scientific literacy. Natural Science in the Foundation Phase is understood as scientific knowledge, process skills, and values and attitudes, which together should foster scientific literacy. Influential perspectives on learning, and teaching methods appropriate to Natural Science education in the Foundation Phase, are reviewed, and the Natural Science Learning Area in the RNCS discussed in the context of global trends in curriculum development. Finally the findings of an empirical survey on the perceptions of Foundation Phase teachers with regard to Natural Science teaching and learning, are presented. Major findings include the following: (1) Scientific literacy is currently not a curriculum priority in the Foundation Phase, due mainly to meagre time allocation and lack of applicable Learning Outcomes. (2) Although teachers appear predominantly positive towards the Learning Area, significant shortcomings need to be addressed before Natural Science teaching in the Foundation Phase may claim to provide the required basis for promoting scientific literacy. OPSOMMING Die studie poog om vas te stel of Grondslagfase-onderrig `n geskikte basis lê vir die bevordering van wetenskaplike geletterdheid. Natuurwetenskappe in die Grondslagfase word beskou as `n kombinasie van wetenskaplike kennis, prosesvaardighede, en waardes en ingesteldhede, wat gesamentlik wetenskaplike geletterdheid ten doel het. Invloedryke perspektiewe op leer, en gepaste onderrigmetodes vir die effektiewe fasilitering van Natuurwetenskappe-onderrig in die Grondslagfase word onder die loep geneem voordat die Natuurwetenskappe-leerarea in die Hersiene Nasionale Kurrikulumverklaring bespreek word binne die konteks van wêreldwye neigings in kurrikulumontwikkeling. Laastens rapporterr die studie die bevindinge van `n empiriese ondersoek na die persepsies van Grondslagfase-onderwysers rakende Natuurwetenskaponderrig en -leer. Belangrike bevinding sluit in: (1) Die bevordering van wetenskaplike geletterdheid word nie as kurrikulumprioriteit in die Grondslagfase beskou word nie, soos blyk uit die karige toedeling van tyd en aantal leeruitkomste aan die Natuurwetenskappe-leerarea op hierdie vlak. (2) Alhoewel onderwysers se persepsies rakende Natuurwetenskaponderrig en -leer oorwegend positief blyk te wees, is daar ernstige tekortkominge wat aangespreek moet word voordat Natuurwetenskappe-onderrig in die Grondslagfase die vereiste grondslag sal kan lê vir die bevordering van wetenskaplike geletterdheid. / Educational Studies / M.Ed.