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This qualitative case study investigated four preservice secondary school teachers’ mathematical knowledge for teaching equations and the influence their mathematical knowledge for teaching had on their teaching practices. Data were generated using two open ended paper and pencil tests, semi-structured interviews, video lesson recordings, and lesson plans. I analysed the data using thematic analysis. The findings show diversity in the preservice teachers’ Mathematical Knowledge for Teaching....
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This study investigated a preservice secondary school teacher’s practice of orchestrating classroom discussion when teaching linear equations. Data were generated using video lesson recordings of nine lessons and were analysed using thematic analysis. Themes were developed a-priori from the theoretical framework and a-posteriori from the data. Findings show that the preservice teacher’s capacity to orchestrate classroom discussion was influenced by his mathematical knowledge for teaching. In...
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Purpose The purpose of this paper is to better understand the challenges involved in introducing Lesson Study (LS) into teacher education in Malawi by studying mathematics teacher educators’ (TEs’) understanding of planning for LS. Design/methodology/approach This study is a part of a wider ongoing project designed to improve the quality and capacity of mathematics teacher education in Malawi. One of its components is professional development of all mathematics TEs in Malawi using an LS...
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This qualitative study investigated a Malawian preservice secondary school teacher‘s mathematics for teaching exponential equations. The study was carried out with one preservice teacher. Data was generated using video lesson recordings and analysed using thematic analysis. The findings reveal that the preservice teacher was not able to unpack or decompress equation solving to make it accessible to students. . This might imply that teacher education needs to be adjusted to focus more on mathematics for teaching
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There is a global recognition of the importance of the quality of teachers for the quality of education in schools and, whilst there is less unanimity about exactly how and where student teachers should be educated, there is consensus around the importance of the professional learning which takes place during the practicum or teaching practice. In this article, such learning is viewed through the lens of Lave and Wenger’s conception of ‘legitimate peripheral participation’ and, using...
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We discuss the adaptation and piloting of the previously developed U.S.-specific measures of mathematical knowledge for teaching to the Malawi context. The purpose is to produce measures that can be used to evaluate changes in mathematical knowledge for teaching gained through primary teacher education, thus informing teacher educators on the most effective evidence-based practices. By interviewing 14 teachers, we first examine whether the 16 recurrent mathematical tasks of teaching tasks...
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In this chapter, we describe challenges and opportunities that second language learners face in undergraduate mathematics programs. The presence of such students is nowadays common in many undergraduate courses due to migration, student mobility, and other factors. We provide examples of various multilingual contexts at the university level, summarize insights from international research on this topic, and present emergent proposals for helping students to overcome these challenges. This...
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School-based improvement programs represent a core strategy in improving education because they can leverage pre-existing social and organizational structures to promote coordinated and comprehensive change across multiple facets of schooling. School-based programs are generally designed to be implemented by intact schools/districts, frequently making it infeasible or atheoretical to assign students within the same school to different conditions while ensuring study validity. Rather, studies...
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This paper reports on findings from a study that investigated reasons Malawian students have for preferring particular contexts in mathematics. The study explored students’ preferences of contexts using a survey questionnaire that contained 27 contexts and asked students to indicate their level of interest for each context on a 4-point scale and to write down reasons for their most preferred contexts. There were 393 students of 14-20 years old. Findings include that most preferred contexts...
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This paper reports on the metaphors that 36 third-year university mathematics education students have about mathematics. These metaphors were investigated through a questionnaire with five open-ended items. An inductive analysis of the students metaphors for mathematics indicated that students had well developed and complex metaphors about mathematics, mathematics learning, mathematics teaching and the mathematics teacher. Several common themes emerged, including the view that hard work,...