Identification of Student Algebraic Reasoning in Solving Recursif Relation Problem Using Hanoi Tower Props Based on Learning Style

Abstract

This study aims to identify the level of students' algebraic reasoning in solving recursive relation problems using tower hanoi props in terms of learning styles. This research is a descriptive exploratory research with a qualitativeapproach. The instruments in this study consisted of learning style questionnaires, Mathematics Ability Tests, Problem Solving Tasks, and task-based interviews. The research begins with giving tests of mathematical ability and learning style agket to 8 semester VI students of the STKIP PGRI Sumenep mathematics education study program in Sumenep to obtain three subjects, each with visual, auditory and kinesthetic learning styles with equal mathematical abilities and of the same gender. After that, it was followed by giving problem solving tasks and taskbased interviews twice. Time triangulation is used to check the validity of the data. The data analysis technique consists of 5 stages, namely data categorization, data reduction, data presentation, data interpretation, and drawing conclusions. The results show that the visual subject is higher than level 2 but has not reached level 3, the auditory subject is at level 2, and the kinesthetic subject is at level 3. The three subjects have reached the stage of solving the problem, but the one who can solve the problem until they find the final solution is only the kinesthetic subject. The implication of research in learning is that teachers can more easily design learning according to their learning styles so that they can hone students' algebraic reasoning.