Strengthening the cultivation of the core quality of middle school students is a new requirement of education reform in China. In order to meet this requirement, the courses of the graduate students in mathematics education should be based on the original contents and further absorbed the contents of related subjects. Meanwhile, it should carry out targeted practice according to the requirement of the core quality and reform evaluation methods. Furthermore, These courses also should highlight the evaluation of core quality teaching and so on. Only in this way can graduate students in mathematics education better adapt to the future teaching work.