The purpose of this study was to describe the effect of learning strategies and cognitive style on mathematical problem solving skills, mathematics learning achievement, and mathematical apprecia-tion of students. This study was a quasi-experimental research whose population consisted of all 10th graders in State Senior High School 10 of Ambon. The data collecting techniques were a test and non-test whereas the instrument used to the collect the data consisted of mathematical problem solving test, mathematics learning achievement test, and a questionnaire for mathematical appreciation of students. To test the effect of treatment on all of the dependent variables simultaneously, the data were analyzed using Two-Way MANOVA, while to analyze each cognitive style on all of the dependent variables simultaneously, the data were analyzed using Multivariate Analysis of Variance (MANOVA). The results of the study, using significance level 5%, showed that the REACT strategy has an effect on student's mathematical problem solving skills, mathematics learning achievement, and mathematical appreciation of students in State Senior High School 10 of Ambon. In the other words, the students with field independent cognitive style are better than those of the field dependent in terms of mathematical problem solving, mathematics learning achievement, and mathematical appreciation of students.