Abstract
This study aims to describe reflective thinking in solving mathematical problems on linear equations system with three variables based on mathematical abilities. This study uses a qualitative approach with case study type. The instruments in this study used tests and interviews. The subjects of this study came from 38 students grade X Natural Science 2 Islamic Senior High School 3 Blitar, taken one from each category of students with high, moderate, and low mathematical ability to be the subject of research. The data analysis techniques used are data reduction, data display, and conclusions drawing/verification. The validity test of data used persistent observation and triangulation. The research results obtained by students with high and moderate abilities can meet the phase of reacting, comparing, and contemplating in reflective thinking. Meanwhile, low mathematical ability students are only able to meet the reacting and comparing phases.
Highlights
Mathematics is a lesson taught at every level of the education unit
This study aims to describe reflective thinking in solving mathematical problems on linear equations system with three variables based on mathematical abilities
IR is a research subject with high mathematical ability, NHM is a subject of moderate mathematical ability, and AN is a low mathematical ability subject
Summary
Learning mathematics aims to equip students to develop Higher Order Thinking Skills (HOTS) (Kamarullah, 2017). HOTS is the ability to connect, manipulate, and change knowledge and experience that has been owned critically and creatively to determine decisions in solving problems in new situations (Dinni, 2018). According to Sabandar (2003), reflective thinking skills in mathematics, which include critical thinking and creative thinking skills like other thinking skills, will have the opportunity to be raised and developed when students are in an intense problem solving process. Mathematical reflective thinking ability can be interpreted as thinking critically to empower the knowledge they already have (Nindiasari & Subhan, 2016). Reflective thinking is the development of other higher-order ways of thinking that arise when students are faced with solving a new problem
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