This study explored the beliefs of pre-service secondary mathematics teachers about project-based learning (PBL), as they encountered a project-based learning high school where they implemented a project-based unit of instruction. A qualitative study was conducted with one undergraduate cohort in a higher education science, technology, engineering, and mathematics (STEM) national initiative that has 40 U.S. replication sites. Using teaching philosophy statements and focus group discussions, the beliefs of STEM pre-service secondary teachers are made visible. The findings from this study reveal a recurring theme: the process of how these pre-service teachers seemed to evolve and mature as teachers, from novice toward becoming an expert, as they asked themselves internal questions that are common to developing teachers. These pre-service STEM teachers experienced 1) internal questions about their own growth as a potential teacher, as evidenced through their verbal and written statements; 2) tension between PBL content and pedagogy; and 3) tension between practice and theory. The findings also infer that there are potential critical variables that may contribute to pre-service teachers’ beliefs. Those variables identified were the following: 1) the sequence of when the project-based instruction (PBI) course was taken; 2) time, as related to when the participant took the PBI course in relationship to the final semester when they were engaged in apprentice teaching; and 3) the field placement location during the apprentice teaching semester.

Concerns based adoption model (CBAM) instruments were used to examine instructional practices of six graduates from a highly stylized, inquiry-based secondary math and science preparation program. Teachers were in the first or second years of teaching mathematics in six different secondary settings, ranging from poverty to wealthy schools. CBAM assumptions were tested. The primary assumption about concerns was that new teachers’ highest concerns would be within the self and task dimensions. According to Hall and Hord, it was assumed that the levels of use are typically in the orientation and preparation stages as a new teacher begins to implement an innovation, in the case of this study, inquiry-based instruction. All three instruments of the CBAM model were used for data collection and included: the Survey of Concerns Questionnaire, Innovation Components Configuration Map, and Levels of Use matrix. Teachers were observed, interviewed, and surveyed, three times each, across a five-month period. The findings from this study showed that the teachers had similar concerns and levels of use, which supported the assumptions outlined by the CBAM principles. Across the six teachers, the self and task concerns were high, aligning with the assumptions. However, unrelated and impact dimensions were noted, in opposition to the assumption. Likewise, assumptions of the levels of use were upheld in the orientation and preparation levels of use noted in the observations. Some mechanical levels of use were observed for a few of the teachers, an anomaly to the assumption.

MEDSED / Department of Maths, Science and Technology Education

Bibliography: pages 75-82. / This dissertation is concerned with teachers' beliefs regarding boys, girls and mathematics. The present study is a partial replication of a study conducted by Fennema et al (1990) and the results are compared. The present study extended the work of Fennema et al (1990) through an exploration of the structure of the data. Forty female teachers in the Western Cape region were interviewed. They were asked to identify their two most and least successful boys and girls in mathematics and to attribute causation for success and failure. They _were also asked to respond to 20 characteristics on a "Likert type" response format. The results generated from the present study concluded that teachers believed their female students to be their more successful mathematics students. They attributed the most successful girls' achievement mainly to effort whereas with the most successful boys, achievement was attributed to ability and effort. Both the most successful boys and girls failures on mathematics tasks were attributed to the difficulty of the task. Achievement of the least successful girls was attributed mainly to teacher's help and for the boys it was attributed to teacher's help and task. For both these groups, ability and to a lesser extent, effort, are given as the main reasons for failure on mathematics tasks. Very little difference was found between teachers' responses regarding the characteristics of their best boy and best girl mathematics students. When exploratory factor-analysis was performed a difference was found in the factor-solutions for the boys and the girls. This study suggests that there might be a difference in teachers' beliefs regarding boys and girls achievement in mathematics that is worthy of further exploration.

published_or_final_version / Applied Statistics / Master / Master of Social Sciences

Thesis (M. Tech. (Education)) -- Central University of Technology, Free state, 2011 / This study examines the problems encountered by educators regarding the implementation of the National Curriculum Statement in mathematics in grades 10-12. The first aim of the study was to provide solutions to problems regarding training experienced by FET mathematics educators. The second aim was to identify problem areas in the NCS that frustrate mathematics educators teaching in the FET band and to identify areas that appeal to these educators. The third aim was to provide guidelines to assist educators with lesson planning in mathematics in the FET band. The fourth aim was to provide guidelines for appropriate assessment in mathematics in the FET band. The fifth aim was to provide guidelines for the effective integration of OBE in the teaching of mathematics in the FET band. The field work was executed by administering a questionnaire to a randomly selected sample of fifty two educators teaching in the FET band. Interviews were semi-structured, flexible and yielded additional information to that of the questionnaire. The questions of the interview were directly related to the objectives of the study and followed a given sequence that was adhered to in each interview process. The researcher arranged to interview one educator from each of the 15 randomly selected schools in the Motheo-district, but only 10 educators responded positively in the interview process, other educators could not avail themselves on that day. The researcher analysed the responses according to the respondent‟s personal particulars. Descriptive analysis of the sample data for section B of the questionnaire were then done, using respondent counting, percentages and the average for the responses of each statement. This study revealed that educators differ in terms of the problems that they encountered in implementing the NCS in mathematics. The findings from this study pointed out problems such as educators receiving inadequate training on implementing the NCS in mathematics. It was also revealed that educators had not been visited by the departmental officials in their schools for monitoring the implementation of the NCS in mathematics. The last finding showed that teaching and learning support material arrived late during 2008 and that there was a large shortage of such material. The result of the study provides invaluable baseline information with regard to the problems encountered by the educators in the implementation of the NCS in mathematics. On the basis of the findings of this study, a number of recommendations for the implementation of curriculum change in mathematics on FET level are given in Chapter 5.

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)

Research has shown that academic under-performance in higher education can be attributed inter alia to psychosocial difficulties arising from students’ under-preparedness for the rigours of university life, the struggle to accommodate diverse cultural worldviews and poor proficiency in the language of learning and teaching (Chang 1999). As internationalisation of higher education institutions has became more common worldwide, the need for support systems to deal with problems of a multicultural student body has become essential if students are to have equitable opportunities for success. In this regard, Monash South Africa (MSA), an international multicultural higher education institution, introduced a tutor-mentor programme to improve academic outcomes among mathematics students in the Foundation Programme (FP). The impact of this programme was investigated by means of an empirical investigation and framed by a bricolage of learning theories which served as a conceptual framework for the study under the metaphors of acquisition and participation. The literature study showed that tutoring and mentoring programmes tend to be successful pedagogical supports. The empirical inquiry took the form of a mixed-method case study which explored the impact of participation in the tutor-mentor programme on mathematical performance among FP mathematics students at MSA. The participants in the study, which was carried out in two phases, were mathematics students, tutor-mentors and lecturers in the FP. Phase 1 quantitatively explored the extent of effectiveness of the tutor-mentor intervention, using a quasi-experimental non-equivalent control group design. Two formal tests were used to gather data, which were analysed by an analysis of covariance and the Johnson-Neyman technique. Quantitative findings supported the initial assumption of the study: that participation in the tutor-mentor programme as an intervention strategy improved the mathematics scores of FP students at MSA. Phase 2, a qualitative study, used purposive sampling. Data was gathered through focus group and individual interviews, observation, spontaneous conversations and photographs. Interpretation of the quantitative and qualitative data was presented according to the phases and thereafter integrated. Qualitative findings provided information about the dynamics of the tutor-mentor programme in providing academic and psychosocial support to students. Finally, a situation-producing theory was developed from the integrated findings, and recommendations made for improvement of practice. / Educational Studies / D. Ed. (Comparative Education)