Abstract
Students in each level of education are required to have mathematical reasoning ability. Students' mathematical reasoning abilities were very low. Therefore, this research investigated the application of lesson study for learning community-based collaborative learning-integrated realistic mathematics education to improve the students' mathematical reasoning ability. The method used was classroom action research and the material was quadratic equation in class IXD of MTsN 5 Jember in odd semester in 2019/2020 academic year. Mathematical reasoning was assessed through essay test. The data were obtained from the results of learning achievement test, conducting the observation, interview and observation of activity results of the teacher and students during the learning through lesson study for learning community-based collaborative learning-integrated realistic mathematics education. The mean result of pre-test on the students' mathematical reasoning ability was around 42.50. While the mean result of post-test on the students' mathematical reasoning ability improved as much as 88.13. This means that in the cycle I, the students' mathematical reasoning improved. This indicated that lesson study for learning community-based collaborative learning-integrated realistic mathematics education improved the students' mathematical reasoning ability.
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