Abstract
Algebra is a branch of mathematics that uses mathematical statements to describe the relationship between various things. This study aims to describe the algebra problem solving abilities of students in the Linear Program course. There are differences in student problem solving, which are caused by students' cognitive styles. Reflective and impulsive cognitive styles based on the SOLO taxonomy. This research method is descriptive qualitative. The research was conducted at STKIP Kusuma Negara Jakarta. The research subjects consisted of 4 students, 2 students having a reflective cognitive style and 2 students having an impulsive style. Purposive sampling technique was used in taking the subjects.Data collection techniques used cognitive style test questions Matching Familiar Figures Test (MFFT), algebra problem solving test questions and interview guidelines. Data collection techniques used two techniques, namely written tests and interviews. Technical analysis of data by reducing data, presenting data, and drawing conclusions. From the data processing, the results of the research were 2 students whose have flexible cognitive style also have good algebra problem solving abilities and based on SOLO taxonomy reached the Extended abstract level. Meanwhile, students who have an impulsive cognitive style in solving algebra problems based more on the SOLO taxonomy have Multistructural and Unistructural levels. So each cognitive style of students gives the different results in solving problems.
Highlights
Mathematics has an important role in the development of technology and science, mathematics becomes a tool for application in other disciplines or as a means of logical, analytical, Received Revised Accepted: 11/02/2021 : 21/05/2021 : 05/06/2021149 Jurnal Pendidikan Matematika dan IPA Vol 12, No 2 (2021) h. 148-158 systematic and creative thinking
The data analysis technique was by giving the students the matching familiar figures test (MFFT) questions, the subjects were selected according to the focus of this study, namely analyzing algebra problem solving abilities based on SOLO taxonomy as seen from the students' cognitive styles
Based on the results of solving the algebra problem, SA is able to abstract by writtten basketball with x and footballs with y, modeling by making equations from the statements in the problem, namely 2x + y = 170,000 and x + 3y = 185,000, able to think dynamic because the SA answers provide logical statements that lead to answers to the questions in the questions and are able to organize the correct answers
Summary
Mathematics has an important role in the development of technology and science, mathematics becomes a tool for application in other disciplines or as a means of logical, analytical, Received Revised Accepted: 11/02/2021 : 21/05/2021 : 05/06/2021149 Jurnal Pendidikan Matematika dan IPA Vol 12, No 2 (2021) h. 148-158 systematic and creative thinking. Mathematics has an important role in the development of technology and science, mathematics becomes a tool for application in other disciplines or as a means of logical, analytical, Received Revised Accepted. With problem solving activities will familiarize students (Syahlan, 2017). Algebra is the beginning of a journey that provides skills to solve more complex problems. As said (Windsor, 2010) that algebra is very important because it can expand thinking to solve concrete problems by using abstractions and operations on mathematical entities logically and independently from the real world. Linear programming is part of algebra which is a material that requires analytical, synthesis and evaluation skills. Linear program is a course material that requires long processing steps and requires analysis. Difficulties in studying mathematics often occur in linear programming material. The level of mastery of material regarding the Linear Program which is still categorized as low, Linear Program material is material in mathematics that requires more learning (Kusuma, 2017)
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