Articles, Conference and Workshop Papers Collection

Permanent URI for this collectionhttp://10.10.97.169:4000/handle/123456789/83

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Browsing Articles, Conference and Workshop Papers Collection by Author "Deogratias, Emmanuel"

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    Developing pre-service mathematics teachers’ understanding of metric and topological spaces using reflective questions .
    (IOJET., 2021) Deogratias, Emmanuel
    This paper presents the ways that reflective questions were used to develop pre-service mathematics teachers’ understanding of metric and topological spaces. In particular, the purpose of developing PSTs’ understanding of metric and topological spaces is that understanding these mathematical concepts leads to PSTs’ understandings on how to teach and learn geometrical figures in mathematics classes after completion of their degree programs. This paper details the interpretation of the PSTs’ reflections on metric and topological spaces. From PSTs’ reflections, it was found that reflective questions helped individual PSTs to develop their understanding of matric and topological spaces, including giving the meaning of metric and topological spaces, and relating with real objects available in their daily environment. The findings have implications in teaching and learning metric and topological spaces.
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    Enhancing pre-service teachers’ understanding of a mathematical concept through practises: a constructivist perspective
    (Research Gate, 2022-07-22) Deogratias, Emmanuel
    This paper addresses the ways that Tanzanian university pre-service mathematics teachers (PSTs) practised teaching the concept of pi in a daylong research meeting. The research meeting focused on enhancing the PSTs’ understanding of a mathematical concept through practises. In particular, the activities were designed and implemented based on practise as one of the five components of the concept-rich instruction (CRI). The intention in using the activities based on practise was to enhance PSTs’ pedagogical knowledge and skills through participating in designing and performing micro-teaching for teaching the concept while using local circular objects as teaching and learning resources. Nine PSTs volunteered to participate in this study. The PSTs worked in small groups while designing the lesson plans and performing micro-teaching. Audio-video recordings and group learning notes were used to collect qualitative data in the research meeting. The collected data were analysed using thematic analysis while focused on the ways that PSTs practised related to the concept. NVIVO software was used in the coding process (QSR international Pty Ltd. Version 11.4, 2017). It was found that the activities helped PSTs to enhance their understanding on how to teach pi as a concept, including designing the lesson plans for teaching the concept using local circular objects, performing micro-teaching and demonstrating measuring the diameter and circumference of a circular object using a set of vernier callipers, a string and a ruler. These findings have implications in the teaching and learning of mathematics in university mathematics classes, including PSTs can gain pedagogical knowledge and skills on how to engage learners in a participatory way of learning as well as learning by doing. Keywords: A mathematical concept; pi, practises, pre-service mathematics teachers, instructional activities