Mathematics teachers' innovative consciousness is the first condition to cultivate students' innovative ability.

Education itself is a process of innovation. Teachers must have innovative consciousness, change the teaching concept centered on knowledge transmission, aim at cultivating students' innovative consciousness and practical ability, make bold breakthroughs in teaching concepts and teaching methods, and establish innovative teaching principles.

1. Overcome the cognitive bias of innovation

When it comes to innovative education, we often think of activities that are divorced from teaching materials, such as small production, small inventions and so on. Or with the help of questions, let students think and say at will. Strangely speaking, innovation is going to the other extreme. In fact, every reasonable new discovery, clever observation angle and so on are innovations. Whether a person's solution to a problem is innovative or not lies not in whether the problem and its solution have been mentioned by others, but in whether the problem and its solution are novel to the person.

2. Teachers should fully encourage students to discover, ask, discuss and solve problems, and let students have innovative thinking, innovative personality and innovative ability through questioning and resolving doubts.

Teachers use profound language, create situations, encourage students to break their own thinking mode and ask questions from a unique angle. Encourage students to ask questions critically. Critical questioning is the concentrated expression of innovative thinking, and scientific invention and creation begins with critical questioning. Let students dare to question the content of the textbook and the teacher's explanation, especially the students' views, especially because there is a lot of room for discussion. Being able to break away from convention, raise critical questions, dare to practice, verify and seek solutions is an essential quality for students with innovative consciousness.