Abstract
This research was aimed at producing a learning trajectory, which could help the students to understand the concept of permutations study via role playing activity in the election of chairman and vice-chairman of Intra School Students Organization. The design of this research was Indonesia’s Realistic Mathematics Education approach. The sample of this reasearch were 36 students of the tenth grade of Senior High School No 15 Palembang. The data were obtained from observations, recorded vedeos, photos, students’ sheet activities, and field documentations. The result of this research showed that the learning trajectory could help the students to understand the concept of permutations study. By using role playing activity, the students have determined the administrative committee of chairman and vice-chairman election of Intra School Students Organization from 2, 3, 4, and 5 candidates, which will enable them to choose the number of formed groups arrangement, and to help them in understanding the concept of permutaions from that election.
Highlights
The students’ ability in understanding the problems of permutations study is still considered very low [1]
This research was designed for produced learning trajectory which can help students to understand the concept of permutation through role-playing of election chairman and vice-chairman of Intra School Student Organization
Preparing for the Experiment First step, researcher reviewed all literature to produce Hypothetical Learning Trajectory of permutations learning with the through role-playing of the election chairman and vice-chairman of Intra School Student Organization, which is: reviewed standard content based on curriculum K13 with basic competencies understanding the concept of permutation, reviewed Indonesia’s Realistic Mathematics Education Approach, and design research as a method of that used in this research
Summary
The students’ ability in understanding the problems of permutations study is still considered very low [1]. The cause of the students’ difficulties in solving the permutation problems is that they are confused to use permutations formulas or combinations of formula in solving the problem of enumeration rules, Thereby, the presentation of the material from the mathematics learning books always made the students to follow the examples of problem-solving that exist. As stated in the Standards of Graduate Competency of Permendiknas No 21 the Year 2016, permutations study is an important learning material to be learned, that students must be able to solve the contextual problems related to permutations [5]. The importance of studying the concept of permutations study is to learn the bases of one kind of combinatorial analysis [6], and it could be applied in daily life, for example in scheduling procedure [7]
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