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This research aimed at training students’ critical thinking skills through the implementation of a modified free inquiry learning model. The subjects of this resarch were 21 students of Mathematics Semester II with One-Group Pretest-Posttest Design. The data were collected by using tests. The data were analyzed with descriptive quantitative analysis. The results of this research indicate that the modified free inquiry learning model was effective to train students' critical thinking skills. The increase in the students’ critical thinking skills viewed from the value of N-Gain has a range of values with the catagories of medium and high. Overall, the increase in N-Gain score of each student and each indicator of critical thinking skills is described as increasing with moderate category. The increase of N-Gain value is because the students were directly involved in organizing their learning proces. This criteria indicate that the modified free inquiry learning model can be used to train students' critical thinking skills on photosynthesis and cellular respiration materials. The results of this research are expected to be nationally implemented to familiarize students with andragogy learning style which places the students as the subjects of learning

Critical thinking skills; training; inquiry; modified free inquiry model