摘要:This research is generally conducted to solve the difficulties of students in understanding courses in mathematics education especially in the real analysis course, in addition, this research specifically aims to examine, describe and compare differences in the ability to think mathematically critically between students who obtain learning concept attainment model and conventional learning model based on mathematical initial abilities of student. The design of this study was two groups randomized subject post-test only with 2 x 3 factorial design. The subjects of this study were students majoring in Mathematics Education at the Universitas Islam Riau, which consisted of 60 students in semester IV of the 2018th/2019th academic year. The instrument used in this study was a test about mathematical critical thinking skills consisting of 3 indicators. Data processing was performed by parametric test (Anova 2 ways) or non-parametric test followed by Scheffe further tests. From the results of the study obtained information that the mathematical critical thinking abilities of students who use the Concept Attention Model (CAM) learning is better than students who use Conventional Learning (CL) based on mathematical initial abilities of students.