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Classification of mathematical reasoning competencies based on mathematical problem solving in elementary school

This study aimed to describe the mathematical reasoning classification of students based on mathematical problem solving. The method used is descriptive quantitative. The subjects of the study are fifth grade students in elementary school Tegalmulyo, Yogyakarta. Data were collected through observation of learning, interviews with students and teachers, as well as the study of student works. Based on the results of research and discussion exposure, it is found that there is diversity of mathematical reasoning which includes the presentation of mathematical statements orally or in writing. Related to the result, the students are able to perform mathematical operations, collect information / evidence or use the formulas and give the conclusions. The above average students are able to complete the math problems in accordance with the procedural and respond appropriately. Whereas, the below average students are also able to complete the math problems but the results of the calculations are inaccurate. The below average students have demonstrated a lack of ability in procedural Completion and math calculations. Thus, the classification of students' mathematical reasoning is divided into three sections corresponding to the mathematical problem solving ability of students.