Students’ Mathematical Reasoning Ability Viewed from Personality Type Rational and Idealist

Abstract

This finds out about pursuits to (1) describe the mathematical reasoning ability of high school students as viewed from the rational and idealist personality types; (2) knowing the causes of students' errors in answering questions. This type of research is qualitative research. The subjects of this research were eleventh-grade students of high school 1 Wanasaba East Lombok. Determination of the concern using purposive sampling. Data collection methods used personality tests and mathematical reasoning exams on trigonometric material. The outcomes of this study indicate that both rational and idealist personality types are capable of substantiating and equally incapable of making logical conclusions. Students with rational and idealist personality types do not meet the indicators of making logical conclusions because the subject is wrong in giving argument formulation because they do not master the concept of arbitrary cosine triangle rule. Students with the rational personality type can perform calculations based on certain rules or formulas, while students with the idealist personality type are unable. This is because the idealist personality kind students use the wrong formula in the problem-solving process. After all, the situation does not understand the concept of arbitrary sine and cosine triangle rules. The idealist personality type student can predict the answer and the solution process, while the rational personality type is unable. This is because students with the rational personality type answer not to the desired answer to the question. After all, they do not understand the query from the question.