Proceedings of the 7th World Conference on Research in Education
Year: 2024
DOI:
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Layers Of Mathematical Understanding and Folding Back of Prospective Teacher on Arithmetic Sequence and Series
Reni Albertin Putri
ABSTRACT:
Mathematical understanding was one of the objectives of learning mathematics, so it was important for students to master it. The success of the process of growing students’ mathematical understanding was inseparable from the role of the teacher. Therefore, prospective teachers should have a complete mathematical understanding structure. This argument was the research urgency, that was to conduct a research aimed at describing the layers of mathematical understanding and folding back prospective teachers on the topic of arithmetic sequences and series. The researcher took participants from the last year undergraduate Mathematics Education student of Universitas Negeri Malang. Purposive sampling technique was used in choosing the participants. Researchers used a descriptive approach with three stages of research procedures including planning, implementing, and drawing conclusions. The instruments used consisted of test questions and interview guidelines. Based on the research conducted, it was obtained that subjects with high abilities were able to achieve the structuring layer and performed an effective folding back independently. Subjects with middle abilities were able to reach the observation layer and do folding back effectively but needed help. Meanwhile, subjects with low abilities were able to reach the formalization layer but had not been able to fold back effectively. In addition, the researcher found that despite having an almost complete understanding of layer structure, the third subject had not been able to elaborate on their primitive knowing abilities. So they did not understand mathematics as a whole and integrated.
keywords: arithmetic sequences and series, folding back, mathematical understanding, Pirie Kieren theory, prospective teachers