MATHEMATICAL REASONING ABILITY OF GRADE 10 STUDENTS BY OPEN APPROACH

Abstract

This research aimed to investigate the mathematical reasoning abilities in the topic of Relations and Functions among Grade 10 students through the Open Approach. The target group consisted of 39 students in Grade 10/2. This study was designed as classroom action research, conducted over four cycles of the PAOR model. The instruments used for data collection and analysis included activity sheets, audio recordings, and video recordings. Data were analyzed using mean, standard deviation, and qualitative content. The results revealed that the Open Approach effectively enhanced all three components of mathematical reasoning abilities as follows: 1) Identifying Relationships Between Data: Students were able to identify information and establish relationships from the situations during Phase 1 Posing open-ended problems and Phase 2 Students' self-learning. 2) Drawing Logical Conclusions: Students could utilize information from problem situations, connect content, and summarize mathematical concepts during Phase 2 Students' self-learning and Phase 4 Summarizing through connecting students' mathematical ideas. 3) Justifying the Reasonableness of Conclusions: Students demonstrated the ability to provide supporting reasons for their own conclusions during Phase 3 Whole-class discussion and comparison.

Keywords: Mathematical Reasoning, Open Approach, Relations and Functions