Indrayani, Arik. 2014. Student Analogy Thinking Process in Solving Mathematical Problems. Thesis, Mathematics Education Study Program, Postgraduate Program, State University of Malang. Advisor: (I) Prof. Dr. Toto Nusantara, M.Si (II) Dr. Abdul Qohar, MT
Keywords: analogy, analogy thinking process, problem solving
The essence of learning mathematics is primarily to develop students' reasoning skills that can be used to solve problems, both those related to math problems and problems of daily life. One way is by analogy. Analogy can be used to help solve mathematical problems if students can use previously learned knowledge (source problems) to solve new problems (target problems). This study aims to describe the analogous thinking process of students in solving math problems.
This research uses a qualitative approach with descriptive-exploratory research type. The analogy thinking process of students is analyzed using components of the analogy thinking process according to Sternberg (in English, 2004: 4-5) which includes four things, namely encoding (coding), inferring (inference), mapping (mapping), and applying (application). The subjects in this study were six students, namely 2 students with high mathematical abilities, 2 students with moderate mathematical abilities, and 2 students with low mathematical abilities.
The results of this study indicate that the analogy thinking process of students in the high ability group occurs quite well, namely being able to carry out each component of the analogy thinking process well. On process encoding, students are able to identify the structure of the given problem (target problem), in the process inferring, students are able to find the relationship between the problem at hand (the target problem) and the knowledge they already have (the source problem) very well, while in the process mapping students are able to find the same relationship between the problem at hand (the target problem) and the knowledge they already have (the problem of the source) very well, so that in the process applying students are able to solve the problem given (the target problem) using the same solution or concept as the source problem and can write down the answers to what is being asked in the questions appropriately. The analogy thinking process of students in the moderate ability group tends to experience obstacles in some components of the analogy thinking process but can overcome these obstacles, while the analogy thinking process of students in the low ability group has not been able to carry out the steps of the analogy thinking process properly.