Open Conference Systems, MISEIC 2017

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STUDENTS’ PROPORTIONAL REASONING IN SOLVING MATHEMATICS PROBLEMS BASED ON PISA STANDARDS CONSIDERED BY THINKING STYLES
Nailatur Rohmah, Siti Maghfirotun Amin, Manuharawati Manuharawati

Last modified: 2017-08-23

Abstract


This research was a qualitative research and purposed to describe students’ proportional reasoning in solving mathematics problems based on PISA standards considered by their thinking styles. The researcher chose four students as the subjects who respectively had Monarchic, Hierarchic, Oligarchic and Anarchic thinking styles. This research was started with data collection, triangulation, and conclusion. The result of this research showed that Hierarchic student understood covariation, recognized proportional situation, and used multiplicative strategy to solve PISA problems on level 1 to 5. The Anarchic student used two multiplicative strategies to solve PISA problems on level 1 to 3, but had difficulties in using multiplicative strategy to solve PISA problems on level 4 to 5. The Monarchic student did not use multiplicative strategy in solving PISA on level 4 to 5. The Oligarchic student understand covariation, but did not recognize proportional situation, and did not use multiplicative strategy in solving PISA on level 4 to 5. The researcher suggests that the teacher is supposed to teach students a variety of effective strategies to solve problems in proportional situations. This research was a qualitative research and purposed to describe students’ proportional reasoning in solving mathematics problems based on PISA standards considered by their thinking styles. The researcher chose four students as the subjects who respectively had Monarchic, Hierarchic, Oligarchic and Anarchic thinking styles. This research was started with data collection, triangulation, and conclusion. The result of this research showed that Hierarchic student understood covariation, recognized proportional situation, and used multiplicative strategy to solve PISA problems on level 1 to 5. The Anarchic student used two multiplicative strategies to solve PISA problems on level 1 to 3, but had difficulties in using multiplicative strategy to solve PISA problems on level 4 to 5. The Monarchic student did not use multiplicative strategy in solving PISA on level 4 to 5. The Oligarchic student understand covariation, but did not recognize proportional situation, and did not use multiplicative strategy in solving PISA on level 4 to 5. The researcher suggests that the teacher is supposed to teach students a variety of effective strategies to solve problems in proportional situations.


Keywords


Proportional Reasoning, Mathematics Problems, PISA, Thinking Styles.