http://hdl.handle.net/10500/6424 2013-05-20T18:49:30Z http://hdl.handle.net/10500/9483 Exploring problems encountered in the teaching and learning of statistics in Grade 11 Makwakwa, Eva Gavhaza The purpose of the study was to explore problems encountered in the teaching and learning of statistics in grade 11 and to offer ways of addressing them. A convenient sample of 100 grade 11 mathematics teachers and 448 grade 11 mathematics learners participated in the study. A descriptive survey design was used. Data were collected from the teachers using a teacher questionnaire, classroom observation schedule and teacher interview, and from learners through the use of a learner questionnaire, classroom observation schedule, diagnostic test and learner interview. The validity and reliability of all these instruments was established. Descriptive statistics and frequencies were used to analyse learner questionnaires, teacher questionnaires and learners‟ responses to a diagnostic test. Teacher and learner interviews were transcribed and classified according to themes. Classroom observations were analysed by using themes and checking for similarities and differences. The results showed that teachers had difficulty with the interpretation and calculation of measures of dispersion; representation and interpretation of data on graphs or plots; determining the five number summary; constructing and interpreting probability diagrams and tables; and interpreting probability terminology. Also, the results showed that learners experienced difficulties when using graphs to predict the results; interpreting and determining measures of dispersion; computation of quartiles when the total number of data values was even; representing data on graphs or plots; interpreting and determining measures of central tendency; constructing and interpreting probability graphs and tables; and interpreting probability terminology. The results found possible causes of the teachers‟ difficulties to be (1) their lack of statistics content knowledge; (2) inadequate textbooks; (3) in-service programmes which did not cover statistical topics, or which did not pay adequate attention to probability; and (4) teachers failure to attend these in-service teacher workshops. Further, the findings of the study were that the probable causes of learners‟ difficulties were (1) inadequate teaching of statistics topics in previous grades; (2) teachers‟ lack of content knowledge in statistics meant they had difficulty explaining concepts to learners; (3) inadequate learning material and learners‟ inability to use the statistics function mode on their calculators; and (4) learners‟ lack of conceptual knowledge of certain aspects of statistics. Lastly, the results of the study found that the possible ways to address the problems in the teaching and learning of statistics in grade 11 to be: (1) teachers should receive financial support from their schools/districts to attend in-service education and training programmes; (2) textbooks should be well written (provide thorough explanations) and contain all the information necessary to teach data handling and probability (i.e. formulae, more examples); (3) in-service teacher programmes should meet the needs of the teachers by offering topics that teachers find difficult to teach; and (4) more and longer inset programmes on probability, preferably five-day workshops, should be arranged. 2012-12-01T00:00:00Z http://hdl.handle.net/10500/9479 Mentoring as a professional development for mathematical literacy teachers in the Greater Taung area Owusu-Mensah, James The study seeks to examine the role of mentoring and how it could be used in the process of professional development of mathematical literacy teachers in the Greater Taung area. The study attempts to flag the importance of mentoring in professional development, especially for mathematical literacy teachers. To obtain data for the study sixteen mathematical literacy teachers from Taung area (within Ruth Mompati District) were purposively selected. Questionnaires and interviews were used to collect relevant data. Literature review, based on previous studies on mentoring also provided data for the study. The following findings emerged from the study: a) that mentoring has over the years has been an effective process for developing early-career teachers’ practices b) that there are no formal mentoring programmes to assist mathematical literacy teachers in the Greater Taung area c) there is a need for effective communication between the mentor and the mentee, since the learning that takes place in a mentoring relationship is usually through regular interaction.From the findings, a collaborative form of mentoring is recommended.Both parties in this relationship are considered as a source of knowledge that can contribute to the learning that occurs within the context of mentoring. 2013-05-01T00:00:00Z http://hdl.handle.net/10500/8921 Immigrant learners learning linear programming in multilingual classrooms in South Africa Nkambule, Thulisile This study used discourse analysis (Gee, 2011; 2005; 1999) in order to explore a socio-situated view of how teachers created learning opportunities for the participation of immigrant learners when learning linear programming in a Grade 11 mathematics classroom in South Africa. The aim was to explore that which mathematics teachers do in classrooms with immigrant learners that they will not do if there were no immigrants. A discourse analysis approach was used in order to view the opportunities created through language use not as a tool for communication only but also as a tool for building reality. The study reported in this thesis was conducted in three different settings which are in; urban, township and rural environments. The urban environment focuses on immigrant learners who were born in the Democratic Republic of Congo (DRC), and started schooling there, in the township and rural environment it focuses on immigrant learners born in South Africa with parents born in the Republic of Mozambique or Angola. Three different mathematics classrooms were observed in their natural environment during lessons focusing on linear programming. Data was collected through a learner questionnaire issued before lesson observations. The aim of the learner questionnaire was to understand the language background of the learners in the mathematics classrooms selected for the study. The second method included lesson observation for at most five consecutive days at each setting. It involved observing teachers and immigrant learners during teaching sessions of linear programming activities. The activities included reading, writing, speaking and participating in mathematical activities. These activities were then analysed to understand how teachers created learning opportunities for the immigrant learners. The study contextualised the results from lesson observations by conducting clinical interviews with three immigrant learners, one from each site, to provide insights into the explanations on immigrant learners approaches when solving a linear programming task. The main conclusion in this study is that immigrant learners were successful in linear programming when teachers’ created learning opportunities by using code switching to support them. The main contribution of this study is that it focuses on multilingual mathematics classrooms of immigrant learners in South Africa – a context that has not yet been researched in South African vi mathematics education. Exploring language practices in multilingual mathematics classrooms of immigrant learners provides a different gaze into teaching and learning mathematics in multilingual classrooms in South Africa. Equally important is the extent to which immigrant learners are distinct to multilingual learners in the teaching and learning of linear programming. 2013-02-01T00:00:00Z