Practice and Reflection on Cultivating Students' Innovative Ability in Mathematical Modeling Teaching

Mathematical modeling is a course that focuses on theory and practice. It helps to cultivate students' imagination and insight. It helps to cultivate students' intuitive thinking and divergent thinking. It helps to develop students' practical ability and self-evaluation. In the methods of cultivating innovation ability, the several following points should be emphasized: focus on accumulation, optimize the knowledge structure; guide thinking, pay attention to cognitive process; design teaching, to promote intuitive thinking; various changes to a question, strengthen divergent thinking; cultivate innovative character. Strengthening the teaching of mathematical modeling is put forward in this teaching situation. This is not only in line with the needs of the development of mathematics itself, but also the needs of social development. Because our math teaching not only enables students to acquire new knowledge but also improves students' thinking ability, cultivate students to consciously use mathematical knowledge to consider and deal with daily life, production problems encountered in order to form a good quality of thinking to create a new generation of people with new knowledge, new methods and creative thinking ability.