The purpose of the study was to explore and compare key classroom level factors affecting mathematics learner achievement for South Africa and Australia. The study focused in the classroom where teaching and learning takes place. This is a secondary analysis of classroom level factors influencing Grade 8 mathematics learner achievement using the Trends in International Mathematics and Science Study (TIMSS) 2003. TIMSS 2003 was chosen because it was the latest international study available to measure trends in mathematics learner achievement, where South Africa had participated. Quantitative research approach was employed and a survey research method was used which seeks, among others, to explore relationships and patterns. Survey research method was suitable to provide data that responded to the research questions. The data collection in South Africa and Australia was conducted in October-December 2002 as both countries are located in the Southern Hemisphere. The sample for South Africa consisted of 255 schools with 100% coverage and stratification done by a total of nine provinces, and language. This resulted in 8952 learners tested across the provinces (Joncas, 2004, p. 212). For Australia, the sample consisted of 207 schools with 100% coverage and stratification done by a total of 8 States and Territories and school type. This resulted in 4791 learners participating in the study. The sample included teachers of learners who were selected to participate in the TIMSS 2003 study for South Africa and Australia. The intended target was teachers of all learners at the end of their eight year of schooling. For each participating school, a single mathematics class was sampled and the mathematics teacher of the selected class was asked to complete a mathematics questionnaire. Mathematics teachers of sampled learners responded to questions about teaching emphasis on the topics in the curriculum frameworks, instructional practices, professional training and education and their views on mathematics. The mathematics teacher questionnaire was designed to take about 45 minutes to complete The main question for this study was “What are the key classroom factors that influence learner performance in mathematics?” The three sub questions for the study were: What key variables on classroom level are related to learner achievement in mathematics for South Africa? What key variables on classroom level are related to learner achievement in mathematics for Australia? How do the classroom level factors in mathematics performance of South Africa compare with classroom level factors in Australia? The conceptual framework for the study stressed classroom level factors including instructional quality, which includes teacher background factors, classroom climate, teaching requirements and mathematics curriculum. The framework describes the factors related to classroom interactions within the comprehensive education system, with regard to inputs – process – outputs – outcomes. The selection of variables for the inclusion in the models was guided by the conceptual framework and extensive preliminary analyses. Preliminary statistical analyses included exploring descriptive statistics, Varimax factor analysis, reliability, correlation analysis and stepwise multiple regression analysis. The results of the study indicate that several specific classroom level factors were associated with the higher levels of mathematics achievement of South Africa and Australia. The results for the final South African model were: age of teacher; years been teaching; outside school day grading tests; outside school day other; and computer shortage were identified to predict learner achievement. For Australia ten classroom factors, namely, teacher perception of school climate; teacher perception of school safety; teacher emphasis on mathematics homework; teacher repeat mathematics limiting factors; homework contribute towards learning; work conditions; unhappy learners; shortage of instructional equipment; geometric shapes; and algebraic functions were identified to predict learner achievement. South Africa has factors like teacher background and outside school activities by the teacher. Australia has factors like classroom climate, work conditions and curriculum quality. In the light of schools effectiveness research and school improvement research, a comparative study like this one would require more than one level (classroom level), two or three levels would have been ideal to draw other variables and enrich the analysis, especially the learner level and school level. School effectiveness places an emphasis on the ability and social background of the learners as factors that shape academic performance / Dissertation (MEd)--University of Pretoria, 2011. / Science, Mathematics and Technology Education / unrestricted

The author shares some of the findings of the research he conducted in 2007 on grade 11 mathematics learners in two schools, one experimental and the other one control. In his study, the author claims that an open-ended approach towards teaching and learning of mathematics enhances understanding of mathematics by the learners. The outcomes of the study can be summarised as follows: 1. In the experimental school, where the author intervened by introducing an open-ended approach to teaching mathematics (by means of giving the learners an open-ended approach compliant worksheet to work on throughout the intervention period), the performance of the learners in the post-test was better than that of the learners from the control school. Both schools were of similar performance in the pre-test. The two schools wrote the same pre-test and same post-test. Both schools were following common work schedule. 2. Within the experimental school, post-test performance of the learners in the class where the intervention was monitored throughout the intervention period (thus ensuring compliance of the teacher to the open-ended approach) out-performed those in which monitoring was less frequent. 3. There was no significant difference in performance between learners from the unmonitored experimental class and those from the control class.

The author shares some of the findings of the research he conducted in 2007 on grade 11 mathematics learners in two schools, one experimental and the other one control. In his study, the author claims that an open-ended approach towards teaching and learning of mathematics enhances understanding of mathematics by the learners. The outcomes of the study can be summarised as follows: 1. In the experimental school, where the author intervened by introducing an open-ended approach to teaching mathematics (by means of giving the learners an open-ended approach compliant worksheet to work on throughout the intervention period), the performance of the learners in the post-test was better than that of the learners from the control school. Both schools were of similar performance in the pre-test. The two schools wrote the same pre-test and same post-test. Both schools were following common work schedule. 2. Within the experimental school, post-test performance of the learners in the class where the intervention was monitored throughout the intervention period (thus ensuring compliance of the teacher to the open-ended approach) out-performed those in which monitoring was less frequent. 3. There was no significant difference in performance between learners from the unmonitored experimental class and those from the control class.

The main purpose of the study was to develop a cognitive model to motivate principals in the Mpumalanga Province, particularly in the Bohlabela District. That was done firstly by identifying and explaining main factors affecting motivation of principals, and later developed a cognitive model of motivation from such factors. The study used the interpretative approach, particularly constructive-interpretative paradigm to collect and analyse principals’ subjective, but accurate accounts of their views, feelings, perceptions and experiences regarding the factors they had found motivating or de-motivating. A case study method was used as the main design method and was implemented through purposive sampling to identify information-rich participants. Semi-structured interviews were employed as the main data collection technique and the data obtained were confirmed, corroborated and augmented by observational field notes and documents analysis, particularly during data analysis. The researcher segmented and coded the data inductively into two main themes, which served as the main empirical research findings. Such findings indicated that motivation is influenced by both cognitive and systemic factors. It is recommended that setting difficult, but specific intrinsic outcomes and consciously employing cognitive abilities to pursue them, might improve motivation. Furthermore, full personal responsibility should be taken regarding the attainment of such intrinsic outcomes. / Educational Studies / D. Ed. (Education Management)

The aim of this study was to find out the perceptions on the principals’ implementation of instructional leadership in the Amajuba District of KwaZulu-Natal with a view to provide guidelines that may be employed to enhance the execution of this role. Scholars believe that instructional leadership can assist in the transformation of schools into effective schools with consistent high learner achievement. In the Amajuba District schools show fluctuation in their grade twelve results, hence the need to investigate the principals’ implementation of instructional leadership. The grade 12 results were used because it is assumed that the variance is indicative of the differences in the principal’ leadership roles in these schools. This qualitative study examines the principals’ instructional leadership role. Data was gathered by means of literature study and focus group interviews. Four interviews were held: three with Deputy Principals and Heads of Departments, and the fourth one comprised of principals of the six selected secondary schools. / Educational Leadership and Management / M. Ed. (Education Management)

The purpose of this study was to investigate the socio-economic impact of learners’ achievement at public schools in Nkangala District in the Mpumalanga Province. The benefits of the study were highlighted within the narrative of the study. The study was qualitative in nature and included a literature study, observations and semi structured interviews. It was discovered from the data that the socio- economic conditions in the district, the learners’ home environment, the school environment and the Department of Education impacted on learners’ achievement. Based on the findings, recommendations were made for improvements to assist in addressing the socio economic impact on learners’ achievement. / Educational Management and Leadership / M. Ed. (Education Management)

The purpose of the study was to investigate teachers’ perceptions of parental involvement in children’s education in the rural Mawa and Molototsi circuits in the Mopani district, Limpopo Province. Three-hundred-and-thirty (330) teachers participated in this research survey. The results indicated that the common perception amongst teachers was that parental involvement had positive benefits for both learner performance and social behaviour. The study also revealed that schools used involvement initiatives and strategies to a lesser extent than expected. Primary schools reported higher rates of parental involvement than secondary schools, which suggested that parents of primary school children were likelier to involve themselves in school governance than those of secondary school children. The extent to which the school used media to promote parental involvement was found to be small and moderate. The respondents also perceived certain social and economic barriers as moderate to large impediments to parental involvement. / Educational Leadership and Management / M. Ed. (Education Management)

This study investigated the problem-solving skills of Grade 12 learners in probability. A total of 490 Grade 12 learners from seven schools, categorised under four quintiles (socioeconomic factors) were purposefully selected for the study. The mixed method research methodology was employed in the study. Bloom’s taxonomy and the aspects of probability enshrined in the Mathematics Curriculum and Assessment Policy Statement (CAPS) document of 2011 were used as a framework of analysis. A cognitive test developed by the researcher was used as an instrument to collect data from learners. The instrument used for data collection passed the test of validity and reliability. Quantitative data collected was analysed using descriptive and inferential statistics and qualitative data collected from learners was analysed by performing a content analysis of learners’ scripts. The study found that the learners in this study were more proficient in the use of Venn diagrams as an aid in solving probability problems than in using tree diagrams and contingency tables as aids in solving these problems. Results of the study also showed that with the exception of Bloom's taxonomy synthesis level, learners in Quintile 4 (fee-paying schools) had statistically significant (P-value < 0.05) higher achievement scores than learners in Quintiles 1 to 3, (i.e. non-fee-paying schools) at the levels of knowledge, comprehension, application, analysis and evaluation of Bloom’s taxonomy. Contrary to expectations, it was revealed that the achievement of the learners in probability in this study decreased from Quintile 1 to Quintile 3 in all but the synthesis level of Bloom's taxonomy. Based on these findings, the study argued that the quintile ranking of schools in South Africa may be a useful but not a perfect means of categorisation to help improve learner achievement. Furthermore, learners in the study demonstrated three main error types, namely computational error, procedural error and structural error. Based on the findings of the study it was recommended that regular content-specific professional development be given to all teachers, especially on newly introduced topics, to enhance effective teaching and learning. / Mathematics Education / Ph. D. (Mathematics, Science and Technology Education)

The purpose of this study is to investigate physics teachers’ (TPCK) and their learners’ achievement in electricity. A purposive sample of 42 Grade 11 physics teachers and 1423 learners participated in the study. An explanatory mixed method research design was employed in the study to collect data. A survey questionnaire (PTTPCKQ), consisting of six-point Likert scale questions, was answered by participating teachers. Similarly, their learners responded to a confirmatory questionnaire (LCPTTPCKQ). The learners also responded to the Electricity Learning Confirmatory Questionnaire (LELCQ) and wrote an achievement test called Learner Electricity Achievement Test (LEAT). The data collected was analysed both quantitatively and qualitatively. Quantitatively, it was found that a positive, statistically significant relationship existed between physics teachers’ experience and their learners’ achievement [Spearman’s rho (42) = .39, p = .011] as well as physics teachers’ TPCK and their qualifications [Spearman’s rho (42) = .33, p = .003]. There was also a positive statistical relationship between physics teachers’ TPCK and learner achievement, yet this was not statistically significant. There were positive, statistically significant relationships between all the constructs of the physics teachers’ TPCK and their TPCK from the analysis of the PTTPCKQ. There were positive statistically significant relationships between all the constructs of the physics teachers’ TPCK and their TPCK, according to the analysis of the LCPTTPCKQ. Furthermore, comparing the learners’ responses on the LCTTPCKQ and their teachers’ responses on the PTTPCKQ, it was found that both learners and teachers provided similar responses for all the constructs of TPCK except TCK. Qualitative data analysis further revealed that the technologies used by these teachers were PhET Simulations, YouTube Videos, Power Point Presentations, Interactive White Boards, and Mindset Videos. Finally, between 12.9% and 5.2% of the learners reported that their teachers had neglected to teach some sections of the electricity in the curriculum. / Mathematical Sciences / Ph. D. (Mathematics, Science and Technology Education)

Smartphone technology can be integrated in mathematics education, since most learners immerse in this technology. Teachers should be facilitators of confined learning in traditional classrooms, including digital facilitators. The aim of the study was to determine the effect of integrating smartphone technology on Grade 10 learners’ achievement in algebra. The study focused on two Grade 10 classes from different township schools in the Gauteng Province. The study was conducted during the first term of 2016. A quasi-quantitative experimental research design was used. Smartphones were integrated in algebra teaching and learning, using the Microsoft Math online application: https://www.math.microsoft.com. Despite challenges encountered during the study, the results indicated a positive impact on learners’ achievements in algebra, amongst experimental group learners. A need exists for future research in integrating smartphone technology in mathematics education. / Mathematics Education / M. Ed. (Mathematics Education)