Abstract: In view of the single teaching evaluation method of advanced mathematics courses, which focuses too much on the assessment of theoretical knowledge and has a strong subjectivity in evaluation, we should reform the traditional course assessment and evaluation system and explore diversified course assessment methods. We reformed the traditional course assessment and evaluation system, explored diversified course assessment methods, and implemented the ability formative evaluation with the orientation of course goal achievement. Through the course questionnaire survey, comparative and correlation analyses of the usual results and final examination results, and analyses of the degree of achievement of the course objectives, it can be verified that the assessment method based on formative evaluation of competence is feasible and effective, which enhances the students'independent learning ability and the ability of innovative practice and application, and improves the effect of the teaching of the course.

Key words: Advanced mathematics, Formative assessment of competence, Teaching effectiveness, Degree of achievement of course objectives, Ability to learn independently, Ability to apply innovation and practice