First, heuristic teaching is conducive to the development of students' logical thinking ability.

Heuristic teaching gives students more opportunities to think, so it is beneficial and harmless to develop students' logical thinking ability. In practical teaching, we should carefully set up some questioning links in each class to arouse students' positive thinking. Through their own efforts, students draw conclusions and master knowledge, which not only experiences the sense of achievement in learning, but also has solid and profound knowledge. According to the difficulty of knowledge points, combining traditional teaching mode with new heuristic teaching is the best teaching idea and can achieve higher teaching efficiency.

Secondly, heuristic teaching is the key to improve students' autonomous learning level.

Heuristic teaching has certain advantages in improving students' autonomous learning level. Teachers inspire students, which means I won't tell them the answers and theories directly. In the process of learning, students should rely more on their own efforts and not rely too much on teachers. It is undoubtedly necessary to inspire students to actively explore the mathematical world and master the actual mathematical ability. The level of students' autonomous learning is also related to the practical application ability of students entering universities and society in the future. It is difficult for many knowledge teachers to impart all the knowledge to students at once, and even if students accept this knowledge, they may not really be able to deeply understand and skillfully use it. Therefore, students gradually develop the good habit of autonomous learning in their study, which lays the foundation for further study and life in the future.

Thirdly, heuristic teaching is conducive to the harmonious development of teacher-student relationship.

The smooth application of heuristic teaching method in class requires not only the efforts of teachers but also the active cooperation of students, so the practice of heuristic teaching is also a process of running-in and communication between teachers and students. Moderate communication between teachers and students is bound to benefit the harmonious development of teacher-student relationship. Teachers inspire students to observe and master students' learning situation in detail. When students get teachers' attention, they will like this course more.