Critical Thought Processes in Solving Problems Reviewed from the High Level Mathematical Ability

- This research is based on efforts to recognize students 'critical thinking processes in solving algebraic problems, hopefully it can be used to design appropriate models or strategies in an effort to improve students' abilities that are still low in terms of mathematical modeling and analyzing problems to prove theorems that really need critical thinking skills. This study is classified as a qualitative-explorative study conducted at students of mathematics education at the Faculty of Science and Technology of UIN Walisongo. Data analysis techniques used in this study refer to the stages of qualitative data analysis namely data reduction, data presentation, and drawing conclusions. The technique of checking the validity of data using time triangulation. Results of this study conclude that subjects with high mathematical abilities can decide and apply problem solving strategies correctly and appropriately, but are less able to evaluate problem solving carried out with definitions, valid mathematical theorems. So in an effort to improve the critical thinking skills of students with high mathematical abilities, strategies or models that can accommodate this condition are needed. this difference.