Alternative learning that is applied to improve mathematical representation skills is round club cooperative learning method. The purpose of this study is to find out whether the type round club cooperative learning method can improve senior high school mathematical representation ability, compered student who got discovery learning method knowing students self direct learning ability. To student who round club cooperative learning method. The method is quasi exsperiment method will pretest-postets control design group. The population of this risearch wer, class x SMA PGRI Rancaekek student’s will the exsperiment class is X IPA 1 and control class is X IPA 2. The class exsperiment is given type a round club cooperative learning method and control class is given type discovery learning ability. The instrument that was mathematical representation ability test, questionnaire, and observation sheets for students and educators. The research of the study, conclusion is that the round club cooperative learning method, the experimental and control class the self direct learning ability of students in the good category and the response of students to the type of round club cooperative learning method positive interpretation value