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The purpose of this study is to determine: (1) whether the students mathematical problem solving skills who are taught through the learning of Problem Based Learning is higher than the students who are taught through the learning of Realistic Mathematic Education (2) whether the students self esteem who are taught through the learning of Problem Based Learning is preferable than the students who are taught through the learning of Realistic Mathematic Education. This research is an apparent experiment research. The population in this study are first grade students of Al Ulum Junior High School in Medan which is randomly selected 2 classes of 5 classes. First experiment class get the learning of Problem Based Learning and second experiment class get the learning of Realistic Mathematic Education. The used instruments are consist of: (1) students mathematical problem solving skills test, and (2) students self esteem questionnaire on learning. Data analysis is conducted with Multivariate Analysis of Variance (MANOVA) which is the translation of Analisis Varian Multivariat. The result of this study shows that (1) the students mathematical problem solving skills who are taught through the learning of Problem Based Learning is higher than the students who are taught through the learning of Realistic Mathematic Education, (2) the students self esteem who are taught through the learning of Problem Based Learning is preferable than the students who are taught through the learning of Realistic Mathematic Education.