Students’ creative thinking skills on the circle subject in terms of learning obstacle and learning trajectory

Abstract

The study aims to describe students’ creative thinking skills in circle material based on students’ learning obstacle and trajectory. This research applied descriptive qualitative. The instruments used were circular questions and interviews. Data analysis carried out along with the data taken by analyzing students’ creative thinking skills based on students’ learning obstacle and trajectory. The research subjects were VI semester students who were able to handle analytical geometry. The results of the study shown that, most students experience learning obstacle (1). Students have difficulties in finding concepts from the meaning of circles, (2). Students have difficulties working on material circle questions and without re-examining the answers (3). Students found out difficulties in a concept from the general formula of the equation of the circle and make the graph, (4). Learning materials presented in textbooks do not build students’ creative thinking skills, so they do not support meaningful learning. Learning trajectory based on analysis of learning obstacle experienced by students and analysis of causes of difficulties can occur. Preparation of hypothetical learning trajectory through learning situations designed is expected to create students’ creative thinking, indeed, the student reconstruction process is created independent students form the concept of the formula set.

Didactical Transposition within Reflective Practice of an Indonesian Mathematics Teacher Community: A Case in Proving the Pythagorean Theorem Topic

“…It implied that the developed didactical design was adequately effective to overcome students' learning difficulties and obstacles. It is corroborated by other research findings which state that the hypothetical learning trajectory increases teachers' professionalism (Ekawati, Wintarti & Kurniasari, 2020;Ivars, Fernández, Llinares & Choy, 2018), and didactical design developed by concerning the hypothetical learning trajectory is effective enough to overcome students' learning difficulties and obstacles (Diana & Suryadi, 2020). Based on the display, the shifting process can be illustrated in the following Figures.…”

Analysis of students’ mathematical connection abilities in solving problem of circle material: transposition study

“…This fact implies that an educator must create learning situation for students so that learning becomes meaningful. One way to anticipate learning barriers, reduce or eliminate the difficulties that arise during the learning process, the instructor must design a situation which accommodate student responses cognitively and affective, indeed, the expected competencies can be achieved in accordance with the expected goals (Diana & Suryadi, 2020).…”