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Prospective mathematics teachers must have critical thinking skills and confidence in teaching. To study the critical thinking skills and self-confidence of prospective mathematics teacher students, research needs to be done. The research subjects were 32 students of mathematics teacher candidates at one of the universities in Cimahi. The instruments used included tests of mathematical reflective thinking skills and a self-confidence scale that had been validated by three experts in the field of mathematics education. Prospective teacher students are grouped according to high, medium and low levels. The results of data analysis showed that mathematical critical thinking skills of students of mathematics teacher candidates at 9.38% had high criteria, 12.50% had moderate criteria, and 78.13% had low criteria. The self-confidence of mathematics teacher prospective students is 90.63% having high criteria, 6.25% having moderate criteria, and 3.13% having low criteria. This finding states that prospective mathematics teacher students have a low level to mathematical critical skills but have high self-confidence.