ALGEBRAIC THINKING OF JUNIOR HIGH SCHOOL STUDENTS IN SOLVING NUMBER PATTERN PROBLEMS BASED ON SYSTEMATIC AND INTUITIVE COGNITIVE STYLE

FIRDA FIQIH ARINA, AGUNG LUKITO

Abstract


This research aims to describe the algebraic thinking of junior high school students, with systematic and intuitive cognitive style, in solving number pattern problem. There are four components of algebraic thinking, that are generalization from arithmetic, meaningful use of symbols, identify and extend a pattern, and mathematical modeling. The type of research is descriptive-qualitative research. Two eighth graders became the subject of this research who are determined based on systematic and intuitive cognitive styles. The data collection methode are assignments and interviews. The results show that both students understand the letter symbols as the subtitute of any number of objects in the problem when understanding the problem. When devising the plan, both students identifies the pattern by determining the difference between pattern and finding the number relationships, besides, student with systematic style look for the relationship between the term and the order by decontructing the known terms in the pattern. In carrying out the plan, student with systematic cognitive-style use term of arithmetic sequence equation to determine the term of a number pattern and use general form that had been found to determine the order of the term, but student with intuitive cognitive styles only use term of arithmetic sequence equation to determine the term and the order of the term of a number pattern. Both students don’t do algebraic thinking in looking back.

Keywords: algebraic thinking, problem solving, number pattern, systematic cogntive style, intuitive cognitive style.


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