Understanding the Combinatorial Thinking through the Strategy Used by Students Cognitive Reflective in Solving Permutation Nurul Aini1*, Dwi Juniati 2 and Tatag Yuli Eko Siswono 2
1Departemen Pendidikan Matematika, STKIP PGRI Jombang. Jln. Pattimura III/20, Jombang 61418, Indonesia
2 Departemen matematika, Universitas Negeri Surabaya, Indonesia
Abstract
Combinatorial thinking is useful for training students in the concept of enumeration and others. Therefore, it is important to understand the students combinatorial thinking. The strategy were used to be able to know the combinatorial way of thinking. This research aimed to determine the strategy and describe the process of using the strategy of the research subject. The data collection was done by giving the permutation problem and interview. The validation was done in time triangulation. The technique of data analysis was done through three steps namely data reduction, data presentation, and conclusion. The students with reflective cognitive style were chosen based on MFFT to 140 students. There were 49 students with reflective cognitive style were asked to do the permutation problem. There were two groups namely 92% of the students used one strategy and 8% of the students used two kinds of strategy. The research subjects chosen were only two students. The results showed that two types of strategies used are the filling slot and the formula. The students in general used filling slot. For convincing the truth, some students used another way that is the formula of permutation. Finally, the students matched the answers from the two strategies
