Analysis of the didactic situation in mathematical problem solving of equations for tangent circles

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Nanang Diana, Didi Suryadi, Jarnawi A. Dahlan, Husnul Khatimah, Arnasari M. Hadi

2023 AIP Conference Proceedings Vol. 2734 Issue 1 Conference paper Cited by 0 SDG 4SDG 16SDG 17 Quartile

Abstract

This study aims to describe (1) the knowledge that students already have, (2) strategies for solving problems of tangent circles, and (3) didactic situations of students on material tangent circles. The methodology in this study is a qualitative research of phenomenology and the subject taken is a third semester student who is taking analytic geometry courses by giving problem solving questions then conducting interviews with three students. The results of this study are students are able to explore knowledge and problem solving strategies by analyzing didactic situation theory which consists of action situations, formulation situations, and institutional situations. In action situations students develop their own solutions to find a given problem solving and provide more specific information. to be able to determine the equation of the tangent to the circle and also the student's response that is predicted to appear when determining the equation of the tangent line where students previously experienced obstacles in completing the procedure. In addition, the student's response is also predicted to determine the equation of the tangent line in other ways. The student formulation situation generalizes the problem from the given problem solving problem and determines the equation of the tangent to the circle. In the validation situation, students understand problem solving obtained from formulation activities, while in institutional situations students can change previously unknown knowledge into new knowledge they have. © 2023 Author(s).

Affiliations

Stkip Taman Siswa Bima, Jalan Pendidikan Taman Siswa, Bima, Indonesia; Universitas Pendidikan Indonesia, Jalan Dr.Setiabudi No 229, Bandung, Indonesia; Stkip Bima, Jalan Piere Tendean Mpunda, Bima, Indonesia

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