The purposes of the study were: (1) to examine the perceptions superintendents, principals, and teachers have relative to the utilization of scheduled preparation time; (2) to determine if teachers with more experience had a different perception of the utilization of scheduled teacher preparation time than less experienced teachers; (3) to determine if teachers had a preference when the preparation was scheduled; and (4) to determine if the use of preparation time for people interaction, preparation and planning tasks, administrative tasks, personal and co-educational tasks were perceived in the same way by superintendents, principals, and teachers.The preparation period is one of the standards used by the North Central Association for secondary school accreditation. The preparation period was recognized as a part of the teaching -load, was strongly recommended for each teacher, wan included in each teacher's schedule, and had to be included within the six-hour day.In order to compare perceptions of superintendents, principals, and teachers relative to utilization of preparation period, a questionnaire was developed for the study. In final form, the questionnaire was comprised of 34 items. Demographic data were also obtained from each group of respondents. A total of 1227 questionnaires was mailed. There were 975 usable questionnaires returned.The population comprised 50 Indiana secondary schools accredited by the North Central Association; the superintendents of each school corporation in which the 50 schools were located; the principals of each of the 50 schools; and 40 per cent of the teachers selected at random from each school. The 50 schools, located in 42 school corporations, were randomly selected from the official NCA roster of accredited secondary schools.The hypotheses for the study were stated in null form to facilitate testing and statistical treatment. For each population sample (superintendents, principals, and teachers) an absolute frequency was computed for questionnaire responses. Utilizing the absolute frequency, the median test and relative frequency was computed. The chisquare test was used to determine the level of significance. The hypotheses were rejected above the .05 level of significance. Each hypothesis had five sub-parts. The acceptance or nonacceptance of the hypotheses was determined by the statistical significance of three of the five subparts.The study indicated most secondary teachers have assigned preparation time. From the 892 teacher questionnaires, two teachers indicated they did not have a preparation period. It can be concluded that guidelines have been established for teacher scheduled preparation time within the school day.To meet the needs of students, scheduled teacher preparation time should be within the school day. A vast majority of teachers utilized preparation time for students to make up tests, for students enrolled in independent study, and for student conferences. This requires the student to be in attendance and if all preparation time was before or after school, student attendance would be more difficult to attain.The data revealed a considerable range in the perceptions of superintendents, principals, and teachers in the utilization of preparation time for instructional and non-instructional responsibilities, but it can be concluded tasks related to students and instructional procedures were utilized the most often.Hall monitoring, lunch room supervision, extra curricular activities, and publications do not utilize a significant portion of teacher preparation time. Superintendents and school boards have provided for teacher preparation time free from monitoring non-instructional activities.

A research report submitted to the Wits School of Education and the Faculty of Science, University of the Witwatersrand in partial fulfilment of the requirements for the degree of Master of Science by combination of coursework and research. Johannesburg, 5 June 2017 / This research report focussed on the teaching of the function concept directed at the errors the learners make as well as the misconceptions which could be associated with those errors. The study was conducted at a secondary school in Johannesburg, South Africa. This was a qualitative error analysis study which also had a form of interventional or remedial teaching. The research was driven by the following research questions: (1) What errors and misconceptions do grade 11 learners show on functions?, (2) What learning affordances and constraints can be created if teaching is directed at learners’ errors and misconceptions? and, (3) To what extent can the learners’ achievement on the topic functions be boosted if teaching is directed at learners’ errors and misconceptions? The study used a purposive sample of six grade 11 mathematics learners from a group of 34 learners. To answer these questions, I structured the study to encompass numerous phases of data collection using different instruments. Firstly, I constructed a test instrument and used it on this group of grade 11 learners. These learners had been taught functions earlier in the year, so the test was diagnostic to measure the cognitive levels of the learner on the concept and also to establish the errors made and misconceptions they carried onto the section from other sections or picked up from the function concept. The study was mainly based on the constructivism theory of learning and teaching, but also had other theories to link to it such at the socio-cultural theory, the APOS (actions, process, object and schema) theory, the concept image and concept definition as well as the variation theory. The errors I picked up from the pre-test I classified and analysed using the conceptual framework grounded on the abovementioned theories. It was this analysis which enabled me to structure the desired intervention program together with the teacher after which I conducted a post-test with the subjects. Other forms of data collection such as the interview and observation were employed during the study. I used the interview to get clarity from the learners’ pre-test questions responses, whilst the observation I used during the intervention lessons the teacher had with the learners. Indeed the findings were that, while there was a substantial improvement on learner performance on the post-test, it appeared clearly that cognitive levels of the learners on the function concept had been enhanced. This improvement of performance was a result of the teaching that was directed at the errors, which also interprets to having created a favourable environment which could be interpreted as learning affordances to boost the learners’ understanding of the function concept. / LG2017

Multicultural countries such as England have recognised the need to multiculturalise their mathematics curricula to cater for the needs of all ethnic/cultural groups, to encourage racial harmony and have pupils of a specific culture learn about, and accord respect to, another culture (Duncan, 1986;Dyson, 1986; Gilbert, 1984). However, in South Africa, a multicultural country with its large Black majority, such an approach has not been given the necessary attention. Laridon (1990) has criticised the way in which curriculum development in mathematics is conducted in South Africa. He describes it as a "top-down" approach and based on input from non-representative samples of teachers and not taking into account the needs of all cultural groups in South Africa. He criticises the manner in which topics are added to or removed from the syllabus and calls this "syllabus tinkering". With a number of, mostly English medium, schools opening their doors to all races, it is possible that certain cultural groups are at a disadvantage when compared with others if modifications to the syllabus, to accommodate their needs, are not made. This study is a small scale case-study, conducted at Woolhope Secondary, a predominantly Indian school, but with a significant number of Black pupils (approximately 25%). The study focusses on the need for a multicultural approach to mathematics curriculum design. The views of the senior mathematics pupils and mathematics teachers are considered in this regard, and together with the relevant literature, broad guidelines for a multicultural mathematics curriculum design in South Africa are suggested.

Thesis ((Ph.D. (Mathematics Education)) -- University of Limpopo, 2016 / The focus in this thesis was on the approaches that seek to compare two study arms in the absence of randomisation when the interclass correlation coefficient is greater than zero. Many reports on performance of learners in Grade 12 have used ordinary regression models (such as logistic regression model and linear regression models) which ignore clustering effect, and descriptive statistics (e.g., averages and standard deviations for continuous variables, and proportions expressed as percentages and frequencies). These models do not only bias point estimates but also give falsely narrow confidence intervals. The study was applied to two of the nine provinces of South Africa: Gauteng Province and Western Cape Province in 2008, 2009 and 2010 academic years. Causal models, and in particular, hierarchical models (or disaggregated approach), unlike descriptive analyses, are more powerful as they are able to adjust for individual covariates. For the analysis of continuous variables; Western Cape Province was expected to significantly score higher marks than Gauteng Province in 2008 (Crude estimate: 0.782) and 2009 (Crude estimate: 0.957 ) while Gauteng Province was expected to score higher marks than Western Cape Province in 2010 (Crude estimate: −0.302). Adjusted models indicate that Western Cape Province performed better than Gauteng Province in 2008 and 2009 but not in 2010 where Gauteng Province performed better than Western Cape Province after adjusting for gender. In case of binary outcome; the crude estimates favoured Western Cape Province than Gauteng Province in 2008 (Odds ratio = 1.16) and 2009 (Odds ratio = 1.19). Otherwise, the crude estimates favoured Gauteng Province in 2010 (Odds ratio = 0.11). The proportion of female learners in Gauteng Province ranged between 54.48% and 54.99%, while in Western Cape Province it ranged between 56.78% and 57.16%, in 2008 through 2010 academic years. Proportion of female learners in Western Cape Province were found to be higher than those in Gauteng during this period. At least 70.42% of learners in Gauteng and at least 73.96% of learners in Western Cape Province passed Grade 12 during the years 2008 to 2010. Through the application of causal model we have learned that although gender is not a significant predictor of the overall learner performance in Grade 12, the effect of gender gave the mixed findings depending on the nature of the outcome. The xi effect of gender on continuous endpoint (marks) suggests that a model of single-sex classrooms or single-sex schools may be adopted so as to mitigate the inherent perceptions and stereotype regarding learner-gender. However, the results based on binary endpoint (pass/not pass) suggest that coeducation system is the best bet. A school quintile is a significant predictor of the overall learner performance in the two provinces. The resourceful schools are more likely to produce learners with higher marks. Also, the resourced schools than the less or under resourced schools are more likely to produce the favourable results (higher marks (%) or/and pass) in the two provinces.

The study investigated South African Grade 10 Physical science learners’ reasoning about basic chemical phenomena at sub-microscopic level. The study adopted a non-experimental, exploratory and descriptive method and was principally guided by the ex-post facto research design using a concurrent embedded strategy of mixed qualitative and qualitative approach. A total of 280 grade 10 physical science learners in their intact classes and six of their teachers participated in the study. The 280 physical science learners comprised of 100 students from two top performing schools, 100 learners from two middle performing schools and the last 80 learners were drawn from two poor performing schools in Gauteng Department of Education’s Tshwane North District. A two-tier multiple-choice paper and pencil Test of Basic Chemistry Knowledge (TBCK) based on the three levels of chemical representation of matter was administered to the 280 physical science learners in their Grade 11 first term to collect both quantitative and qualitative data. In addition to the TBCK, focus group discussions (FGDs) with learners, teacher interviews and document analysis were used to triangulate data. The results revealed that most Grade 10 learners find it easy to identify pure elements and the solid state but find it difficult to negotiate between the three levels (macroscopic, sub-microscopic and symbolic) of chemical representation of matter. It became clear that learners experienced more difficulties in the concepts of basic solutions, acidic solutions, concentration and ionic compounds in solution. It also became apparent that some learners could not tell differences between a diatomic element and a compound indicating conceptual problems when they reason at particle level, and as a result they could not identify a mixture of elements. The results also indicated that the concepts of pure compounds and mixtures of compounds were not easy to comprehend as most learners took a pure compound for a mixture of atoms and a mixture of compounds for a mixture of elements. It is therefore concluded that learners find it difficult negotiating the three levels of chemical representation of matter. However, it is not clear whether the misconceptions the learners showed could be completely attributable to the concepts involved or the nature of the sub-microscopic models that were used in the test as it was also revealed that most teachers were not using sub-microscopic representations during instruction to enable learners to think at particle level. Furthermore, justifications to the multiple-choice tasks revealed lack of understanding of basic chemical concepts as well as language problems amongst learners as they could not clearly express their reasoning. Based on the results, some recommendations to educators, chemistry curriculum planners, teacher education and the chemistry education research field are suggested. / Science and Technology Education / D. Phil. ((Philosophy in Mathematics, Science and Technology Education)

Parental involvement in education is not a new concept; parents have always been involved in education in various ways and to various degrees. Perhaps nowr parents are more sensitive to the important role it plays in ensuring the full potential of the child is realised. Departing from the premise, that it is important, useful and necessary, the researcher has embarked upon an in depth literature study of parental involvement in education in various communities and has undertaken an empirical investigation of the involvement of parents of pupils in secondary schools in the Phoenix North area. The main thrust of this research was to explore the obstacles to parents being involved fully in the education of their children and to make appropriate recommendations to the principals, as the school managers. / Educational Leadership and Management / M. Ed. (Educational Management)

published_or_final_version / Education / Master / Master of Education

Much prior research has shown that if students have a poor command of the language in which they are taught and assessed, they experience a complex and deep learning disadvantage (Barton & Neville-Barton, 2003). Abedi (2006) mentions, in particular, that unnecessary linguistic complexity can threaten the validity of examination items and thus compromises the fairness of the assessment for English language learners. In Clarkson’s (1991, p. 31) research it was found that for the English language learners in the study “comprehension errors [made] up a high proportion of the errors made when…students attempt[ed] to solve mathematical word problems”. In an attempt to explore whether this was the case for a group of National Certificate (Vocational) [NC(V)] students at an FET college, the research conducted in this study focused on describing the cognitive and linguistic complexity of Level 4 Mathematical Literacy examination items as well as the types of responses from a sample of students. A mixed-methods case study design was selected. Student errors were classified as either due to mathematical literacy-related sources, or language-related sources and the question was asked as to how the cognitive and linguistic complexity of items might be related to the types of errors made. Statistically significant correlations were found between the linguistic complexity of items and language-related errors, and between the cognitive complexity of items and all types of errors. It was also possible to identify which language features, in particular, were statistically significantly correlated with linguistic complexity, namely: prepositional phrases; words of 7 letters or more and complex/compound sentences. As was expected, the majority of errors were categorised as mathematical literacy-related. However, as many as 19.22% of all errors made were identified as language-related. While the scope of the study prevents any generalisations from being made, the results indicate a need for a larger-scale study of this nature to determine if the complex and deep learning disadvantage mentioned by Barton and Neville-Barton (2003) does exist with regard to the assessment of Mathematical Literacy for NC(V) students who are English language learners (Barton & Neville-Barton, 2003).

Parental involvement in education is not a new concept; parents have always been involved in education in various ways and to various degrees. Perhaps nowr parents are more sensitive to the important role it plays in ensuring the full potential of the child is realised. Departing from the premise, that it is important, useful and necessary, the researcher has embarked upon an in depth literature study of parental involvement in education in various communities and has undertaken an empirical investigation of the involvement of parents of pupils in secondary schools in the Phoenix North area. The main thrust of this research was to explore the obstacles to parents being involved fully in the education of their children and to make appropriate recommendations to the principals, as the school managers. / Educational Leadership and Management / M. Ed. (Educational Management)

The South African government has shown enormous commitment to the achievement of “Education for All” (EFA) through its policies premised on the right to basic education for all which is enshrined in the constitution. Central to the South African constitution, is a fundamental right of all citizens to basic education, equity, redress, and the improvement of quality of schooling. Further, pro-poor funding policies such as school fee exemptions, social grants and, most recently, the designation of 60% of all schools as ‘no fee’ schools, have made it possible for even the poorest learners to attend school. This has affirmed South Africa’s commitment to the achievement of the Millennium Development Goals (MDGs) by 2015. In light of Notwithstanding the progress made in South Africa in universalising education, there are concerns regarding learner access to quality education, especially in poor provinces such as the Eastern Cape where this study is situated. Thus, the purpose of this study is to further understanding of the interface between learners’ agency and access to education in two township public high schools in Makana District in the Eastern Cape Province. In doing so, the research addresses the current under-representation in the literature of the voices of learners about their experiences of access to education. Drawing on Margaret Archer’s social realist approach to the relationship between structure and agency, the study explores learner agency with the aim of understanding how learners exercise their agency as they struggle to negotiate and overcome difficult and challenging circumstances in order to access education. The data collection was carried out during the academic year 2011, using a qualitative case study approach. Multiple methods of data collection were used. First, data was collected through questionnaires administered to learners. This questionnaire asked for basic information about the schools (for example, subjects, resources and teachers ), parents ( their education, employment, qualification etc.) and learners’ aspirations (their role model; where they see themselves in 5 years; which university they would like to attend; and what they would like to become in future). Secondly, observation method was used to collect data that would inform an assessment of the school’s structure and cultural practices and the impact these have on learners’ access to education. The focus here was also on classroom interaction between learners and teachers, as well as classroom participation, participation in extra-mural activities and voluntary activities, and interaction with peers and others in a variety of school settings. Thirdly, interviews with learners, educators, principals, and parents were used to provide insight about how participants construct their social worlds. In this study the primary data was collected through semi-structured individual and focus group interview. And finally, document analysis was used to analyse the attendance and performance of learners on attendance registers. Findings from this research have enabled new themes and areas for reflection about learner agency to emerge. These themes reflect current and ongoing constraints and enablements towards learners’ educational experiences. In particular, themes such as the following have surfaced: learners changing their lives; the desire to succeed; shaping the future; the value of education; family pride; aspirations and careers. This study addressed these developments by examining agency as temporally located reflexive deliberations of learners upon their future goals and present social environment. This allowed for the identification of individuals’ future goals in relation to access to education and the strategies that they intend to pursue to achieve them, in relation to their personal and social contexts. The findings show the choices and decisions learners are prepared to make and the strategies they use as they engage with socio-cultural environments. Archer’s nuanced approach to agency and structure offers tools to help make sense of learners’ equally nuanced way of engaging with various social structures and making considered decisions about their social environment. Key findings of this research suggest that despite the constraining social structures in their homes, communities and schools, learners make decisions and choices that enable them to navigate social contexts to their advantage. Put differently, for learners, social structures provided the impetus for the projects they created, and to this extent enabled rather than constrained their courses of action.