How to improve teachers' guidance on mathematical modeling and mathematical inquiry, and give your analysis and suggestions.
Teachers should first improve their awareness of modeling. This not only means the change of our teaching content and requirements, but also means the renewal of educational ideas and teaching concepts. In addition to understanding the development history and trend of mathematical science, mathematics teachers need to constantly learn some new mathematical modeling theories and study how to apply mathematical knowledge to real life. It is necessary to infiltrate modeling consciousness at all times, so that students can gradually understand the wide application of mathematical modeling from a large number of modeling problems, thus stimulating students' interest in learning mathematical modeling and improving their ability to use mathematical knowledge to model; The teaching of mathematical modeling should also be combined with the existing teaching materials. Teachers should study what modeling problems can be introduced into each teaching chapter, and often infiltrate the awareness of modeling, so that students can gradually understand the extensive application of mathematical modeling from a large number of modeling problems through teachers' subtle influence, thus stimulating students' interest in learning mathematical modeling and improving their ability to use mathematical knowledge to model; Pay attention to the relationship with other related disciplines. Because mathematics is a tool for students to learn other natural sciences and even social sciences, and other disciplines are closely related to mathematics. Therefore, we should pay attention to the echo with other disciplines in teaching, which can not only help students deepen their understanding of other disciplines, but also be an indispensable way to cultivate students' sense of modeling. In teaching, we should also combine thematic discussion with modeling research. Through discussion, analysis and research, we are familiar with and understand some important ideas of mathematical modeling and master the basic methods of modeling. Even by observing students' daily life, we can guide students to choose practical problems for modeling practice, so that students can taste the "sweetness" of successful mathematical modeling and the "bitterness" that is difficult to solve, broaden their horizons, increase their knowledge and accumulate experience.