Doctorat en sciences psychologiques / info:eu-repo/semantics/nonPublished

This study investigated the experiences of four participating student teachers in using multiple representative approaches in the teaching of Grade 6 proportion word problems. The multiple representative approaches include the Between Comparison Method, the Within Comparison Method, the Diagrammatic Method, the Table Method, the Graph Method, the Cross-product Method, and the Oral Informal Method. An intervention programme was organised, using workshops where student teachers were prepared to teach Grade 6 proportion word problems using multiple representative approaches. The teaching practice lessons of the four participating student teachers in two primary schools were video recorded, and the focus group interview was conducted at the University Campus. With the exception of the Graph Method and the Cross-product Method, it was revealed that the multiple representative approaches were generally effective in the teaching of Grade 6 proportion word problems. The study further revealed that multiplicative relationships can be explored through using the different individual representative approaches. The study argues that the cross-product method is not the only way to teach Grade 6 proportion word problems. There are multiple representative approaches that should be used in conjunction with each other to enhance the teaching of proportion word problems. Furthermore, this study revealed that a number of challenges were encountered when using multiple representative approaches. The challenges include difficulties with the English language, different and unique abilities of the learners, lack of plotting skills and the lack of proficiency in the learners’ multiplication and division skills. This study made recommendations on the integration of multiple representative approaches in the mathematics education curriculum and textbooks. It further recommended that in-service workshops for teachers and student teachers on the integration of multiple representative approaches in the teaching of Grade 6 proportion word problems should be initiated.

Suppes beweer dat "All teachers everywhere recognise the help that books give them in teaching students. The day is coming when computers will receive the same recognition. Teachers look on computers as a new and powerful tool for helping them to teach their students more effectively." In hierdie ondersoek word gepoog om op die voordele van die aanwending van een mikrorekenaar as hulpmiddel vir die onderwyser vir die onderrig van wiskunde, te wys. Die belangrikste oorwegings in die ondersoek was: 1. Efektiwiteit van die metode. 2. Bekostigbaarheid van die metode. Die effektiwiteit van hierdie metode van onderrig word hoofsaaklik bepaal deur die geskiktheid van die programmatuur. Programmeringsvaardighede aan die kant van onderwysopgeleide persone versterk hierdie oorweging. Deurdat slegs een mikrorekenaar gebruik word, word deels aan die tweede oorweging, naamllk bekostigbaarheld, voldoen. Programmeringsvaardighede, soos hierbo genoem, kan ook bydra tot die besparing van koste deurdat bogenoemde programmatuur 'intern' ontwikkel word. Die wens word uitgespreek dat hierdie metode van onderrig tot voordeel van die totale leerlingbevolking van die land aangewend sal kan word.

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.

The high school pass rate, for mathematics, in South Africa is very low. This is particularly so in trigonometry functions. One of the possible factors leading to this is the traditional method of teaching and learning. This study was undertaken to determine whether the use of Information and Communication Technology (ICT) would influence students’ learning of trigonometry functions. In order to answer this question the teaching and learning instructions developed were based on activity theory (AT) and action, process, object, and schema (APOS) theory. The study followed a non-equivalent control group, quasi-experimental design with a pre- post-test approach. Since it was not possible to randomly select participants for the study, intact groups were used. There were two groups: a control and an experimental one. Both groups wrote a standardized achievement pre-test to establish their comparability at the beginning of the study. While the control group was taught in the traditional way (grade 10-12 syllabus), the experimental group used the software Geogebra. The computer software (Geogebra) and the South African grade 10-12 syllabus for trigonometry functions were used during the lessons of the experimental group. At the end of the study, a similar post-test was administered on both groups to measure the comparative effects of either of the teaching methods on the performance of students. A t-test independent sample statistical analysis was performed on the findings using a statistics package, SPSS. The results of this investigation indicated that the use of the computer software, Geogebra, in the teaching and learning of trigonometry functions improved the performance of the Grade 12 students. / Mathematics Education / M. Sc. (Mathematics Education)

In this study, the role of the problem-based approach on the performance of Grade 9 learners in solving word problems is investigated. Traditional approaches have produced learners whose performance in mathematics is not satisfactory and who are not sufficiently equipped with critical and problem skills that are necessary in this dynamic world. Problem-based approach is among the current reform efforts recommended for teaching and learning mathematics. For this approach to be successful, learners need vital tools such as problem solving strategies, which many learners in this country lack. The emphasis in this study was therefore on exposing learners to a variety of problem solving strategies through the problem-based approach. Problems solved throughout the investigation were non-routine, word problems. The results show that awareness of these strategies improves learners' problem solving performance and attitudes towards mathematics. Based on this investigation, recommendations are made concerning effective implementation of this approach to the teaching and learning of mathematics. / Educational Studies / Thesis (M. Ed. (Specialisation in Mathematical Education))

This research project, which was modeled on the constructivist theory of acquiring knowledge, and on recent recommendations regarding classroom instruction, investigated the impact of problem-based teaching and learning (PBTL) on the performance of high school mathematics learners. The effect of an intervention programme on an experimental group of students was compared with a control group by assessing their mathematical knowledge and skills; their procedural proficiency and conceptual development on varied mathematical contents; their skills in managing and controlling learning; and their views towards their learning programmes. The results obtained indicated that the experimental group indicated a higher conceptual understanding, an improved use of procedures, a higher level of managing and controlling learning, and positive views towards the programme and interest in the fundamentals of learning mathematics. An analysis of the data obtained by the on-progress instruments employed for the experimental group also indicated improved quality of participation and reflective thinking practices. / Educational Studies / M. Ed. (With specialisation in Mathematics Education)

The fewer numbers of girls that take part in Mathematics and Science programmes than those of boys in Namibia prompted this study. Few Namibian students pass Grade 12 Mathematics and Science with symbols required by the University of Namibia and other higher educational institutions in Africa and abroad. When the numbers of male students and female students who graduate both at secondary school and university levels are compared, it becomes clear that very few female students graduate. The study investigated how socio-cultural factors influence girls’ participation in Mathematics and Science. Information used in this study was collected from 1442 girls from 14 schools in Hardap and Khomas regions. Literature has demonstrated the importance of self-concept, motivation and influence from parents and teachers as imperative factors for a change in girls’ perceptions of Mathematics and Science. The analysis showed that both beliefs and attitudes of girls are negatively influenced by some cultural and traditional norms. Additional barriers include lack of support from parents, teachers and peers as well as the masculine face that is given to Mathematics and Science. The investigation also revealed the need to motivate girls from an early age. This can be done by empowering and preparing them socially, physically and mentally in these fields. Motivating female students can also be achieved with the help and support from parents, teachers and the entire education sector. / Further Teacher Education / M. Ed. (Natural Science Education)

The study was undertaken to identify the factors that influence standard seven pupils when they choose whether to continue with mathematics at senior secondary level or not. The relative importance of the factors was also determined. The literature study identified the following factors: attitude towards mathematics, utility of mathematics, family members' influence, mathematics teacher's influence, peer group influence, achievement and gender. The empirical study dealt with the following: * A 77 item questionnaire was completed by 201 standard seven pupils. * The statistical analysis revealed significant differences between pupils who chose mathematics and those who did not, with regard to all variables except gender. * A regression analysis identified the most influential factors as achievement, family members' influence, attitude and the mathematics teacher. * The overall implications were: - Pupils be made to experience success so that their attitudes may change. - Parents must be involved in their children's education. / Psychology of Education / M. Ed. (Psychology of Education)

The study was undertaken with three Grade 9 teachers at three selected schools which are part of RUMEP’s Collegial Cluster Schools’ programme that I coordinate. Collegial clusters are communities of teachers who aim at improving their practice by working on their own professional development. The purpose of this study was to investigate the selected Grade 9 teachers’ experiences of a Geoboard intervention programme. It also wanted to investigate the role that a Geoboard can play in the teaching and learning of area and perimeter of two-dimensional shapes. The research was a case-study within the interpretive paradigm. A variety of data collection techniques was used. These included baseline assessment tasks, observations during the intervention programme, post intervention assessment tasks and semistructured interviews with the participating teachers and a few learners from each participating school. The collected data was analysed using both the quantitative and qualitative methods. My research findings reveal that a Geoboard, as a manipulative, developed confidence in the participating teachers. In the interviews with teachers, it transpired that teachers’ skills in teaching area and perimeter of two-dimensional shapes had been sharpened. According to the interviews with learners, the use of a Geoboard led to better conceptual understanding of the area and perimeter, as learners no longer had to rely on formulae. Kilpatrick et al. (2001) refer to conceptual understanding as an integrated functional grasp of mathematical ideas. The post intervention assessment task showed a positive shift in learners’ performance. The average learner performance improved from 29% in the baseline assessment task to 61% in the post intervention assessment task. This shows that the use of a Geoboard led to meaningful learning of area and perimeter of two-dimensional shapes. The overall research findings reveal that the use of manipulatives has a positive impact in the teaching and learning of area and perimeter. Learners’ responses to the interview questions showed that there was better understanding of the two concepts, which enabled them to construct their own knowledge. They further said the Geoboard allowed them to be hands-on, which contributed to their active involvement in the lesson.