Mathematics relation and function is one of important topics in junior high school. This study aims to see differences in the problem-solving a bilities of junior high school students who use the Model-Eliciting Activities (MEAs) and conventional models in learning mathematics relation and function. This research is a quantitative study using a quasi-experimental approach with a non-equivalent control group design. The population in this study was all of the seventh-grade students at a State Junior High School in Sungai Penuh, Jambi, Indonesia, and the sample was two groups experimental group and control group. The data collection technique used is a test of mathematical problem-solving skills. The data were analyzed by using he independent t-test to find comparisons or differences. The research result showed that there were differences in the mathematical problem-solving skills of junior high school students who used MEAs and other students who did not use MEAs. This difference occurs as a result of different treatment received by students, by MEAs students are required to be more active in understanding and formulating problems.
The strategies students use in solving mathematical problems are quite diverse, so they affect students' personality types. This research focuses on analyzing the trajectory of students' thinking in solving algebraic problems in terms of thinking and feeling personality types. This research is qualitative research with a descriptive method. The population is 34 students; the sampling is done by purposive sampling—data collection techniques through personality questionnaire sheets, algebraic test questions, and interviews. Qualitative data analysis was done through data reduction, display, and conclusion/verification stages. The results showed that the students' thinking path in solving algebraic problems in terms of thinking and feeling personality types is that in the problem analysis cycle, thinking students can correctly show what is known from the problem. The problem-solving process is made sequentially up to the simplification cycle. In the completion cycle, students think until they get the final answer by completing the steps properly and correctly. Based on these results, students need help solving algebra problems properly compared to students with the thinking personality type. It is because students feel that the steps could be more sequential in solving problems with algebraic forms, and it is difficult to consider based on right or wrong (objective). Therefore, sometimes he needs to be more wishy-washy or even needs clarification in taking a stand.
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