Proses Berpikir Siswa Kelas IX Sekolah Menengah Pertama Yang Berkemampuan Matematika Tinggi Dalam Memecahkan Masalah Matematika

Abstract

This study aim to describe the students' thinking process of 9th grade of Junior High School has a high mathematics capability in solving the mathematics problem based on Polya rule.This study is qualitative descriptive research. The criteria of subject selection included the students' has a high mathematics capability and communication fluency both spoken and written. The data collection was done using written test and task-based interview techniques. Data analysis done based on written test data and task-based interview techniques data. And then it has been done the method triangulation to get valid subject data. Finally, the result of description thinking process as follows: students with high mathematics capability, in understanding problem using assimilation thinking process, make a plan using assimilation and accommodation thinking process. Assimilation thinking process can be identified when the students can mention the prerequisite material, can directly relate the sides kite (BF = FG) and can directly develop problem solving plan. Meanwhile, accommodation thinking process can be seen when the students drew an auxiliary line from E to the right thereby intersecting with CD line (the intersection was labeled H point), so devided trapezoid AEDG become right triangle EHG and rectangle AEHD. In carrying out a plan and in looking back at the completed solution, the students used assimilation thinking process