Thinking Process of Students with High-Mathematics Ability (A Study on QSR NVivo 11-Assisted Data Analysis)

摘要

Students' thinking process in solving mathematical problems is ever an interesting issue to be discussed. Since problem-solving thinking process is remarkably essential, the present study discusses thinking process from various points of views. A qualitative method was applied in this research by taking three research subjects of students with high-order thinking skills. Data were taken using mathematical problem-solving tests and interviews, which were used as method triangulation to determine data credibility. Data presentation and analysis were carried out using QSR Nvivo 11 software and research reliability was done using Kappa test. The research results demonstrate that all three subjects were able to solve mathematical problems on Pythagoras concept properly. There were diverse ways used by each subject to solve problems, but the differences did not affect the solutions since the three subjects had the same concepts at problem understanding level. Mathematical problem-solving thinking processes of all subjects included assimilation and accommodation. Assimilation was accomplished when subjects understood and ascertained the accuracy of the results by reviewing the problem-solving steps. Meanwhile, in accommodation process, subjects were able to plan comprehensive problem-solving and apply the plans to describe the problems comprehensively.