The aim of this study is to investigate teachers' perceptions about the importance of learning innovation toward critical thinking ability in learning mathematics. The subjects in this study are the teachers and the students of grade Vin Al-Islam 6 Al-Fajar, Muhammadiyah 23 and Cokroamino to Islamic Elementary School Surakarta. The research method used in this research is qualitative case study. The problem in the research is the students' mathematics score is low that is seen from the results of the daily test's students which showed 85% get grades below the minimal mastery criteria there is 60. The analysis technique used is triangulation. Validation used is qualitative descriptive. Based on the results of interviews to a number of teachers who teach mathematics in the fifth-grade in Pasarkliwon sub-district, it can be concluded that students' critical thinking ability in mathematics is low so that it is required innovative learning model used by the teachers.