Analysis of the Didactic Situasion in Mathematical Problem Solving of Equations for Tangent Cicles
Nanang Diana(a)*, Didi Suryadi(b), Jarnawi Afgani Dahlan(b), Husnul Khatimah(c), Arnasari Merdekawati Hadi(d)

a,c) Mathematic Education, STKIP Taman Siswa Bima
a,b) Mathematic Education, Universitas Pendidikan Indonesia
d) Mathematic Education, STKIP Bima

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 to explore the knowledge students have and problem solving strategies by analysis the theory of didactic situations consisting of action situations, formulation situations, and institutional situations. In the action situation, students develop their own solutions to find a solution to the problem and are given more specific information to be able to determine the equation of the circle tangent. The situation of the student formulation generalizes the problem to determine the equations of tangents of a circle. The validation situation on students^ understanding obtained from the formulation activities is further validated by giving problems that determine tangent equations in circles and in institutional situations that allow students to change their previous knowledge into new knowledge through reinforcement by lecturers who give them the value of truth and allow new knowledge to be obtained to solve the problem given.

Keywords: Didactic Situation, Problem Solving, Equation of Tangent Circle.

Topic: Mathematics Education