Schema of Analogical Reasoning - Thinking Process in Example Analogies Problem

Abstract

Purpose: Analogical reasoning has been studiedusing a variety of tasks that generally requiredconsideration of the relationship between the objectand its integration to conclude an analog schema. Theaim of this study was to describe the model ofanalogical reasoning schema based on someanalogical problems.Research Method: In this study used a qualitativeresearch approach with design research is the casestudy. Data were taken from 16-year-old high schoolstudents, West Nusa Tenggara Indonesia. Theresearcher selected 4 students who answered twoanalogical problems correctly and used in analyzingqualitative data. Findings: The findings showed that there is a difference in the schema. The first type is thatstudents can directly map between target problem and source problem, followed bystructuring, applying, and verifying. The second type is that the student can not directly mapbetween the target problem with the source problem, but the student needs to do arepresentation of the target problem so as to find a form of problem that has similarities withthe source problem. Then the student can map between target problem with source problem,followed by doing the process as the first schema type.The Implication for Research and Practice: Findings of this study may have an impact on theway teachers teach mathematics on the analogical problems they use. Teachers can considermathematical problems used in learning so that students easily understand the theory fromthe concepts being taught. And then, teachers need to develop an analogical problem that candevelop critical and creative thinking to enhance the creativity of high school students withtheir analogical reasoning