Teachers' manners, learning attitudes, working methods and ways of thinking. It influences students imperceptibly all the time. Therefore, teachers should have a sense of innovation, constantly improve their self-cultivation, broaden their knowledge horizons, make bold breakthroughs, enlighten students with new ideas and new knowledge, change the teaching idea centered on knowledge transfer, aim at cultivating students' innovative consciousness and practical ability, and ignite the innovative flame of "learning" with the innovative fire of "teaching".
Second, encourage students to ask more questions and advocate students to dare to question.
Asking questions is the result of thinking and the beginning of innovation. In the classroom design, teachers ask questions in time and give students a demonstration of asking questions, so that students can understand the art of finding and asking questions, achieve the goal of "after reading 300 questions, they can still ask questions, but they can't solve them", guide students to study more actively and with more interest, be full of exploratory learning, and gradually cultivate students' problem consciousness and innovative spirit. After all, problems are the core of mathematics, and putting forward problems is more important than solving them.
After the question is put forward, students should be given enough time to think, and don't rush to endlessly reveal or uncover the "mystery" so as not to deprive students of the right to think independently. As the saying goes, "Silence is better than sound". In these few minutes of silence, students can enter an excited state of mind and try their best to think and explore.
In classroom teaching, we should consciously give students enough time to think, let them understand knowledge, generate various questions, and encourage them to ask questions when in doubt. Seeking differences in similarities, seeking common ground in differences, turning doubts into doubts, not being confused by appearances, not being bound by "generality", teaching students the courage to question and imagine, expressing their views, broadening their thinking, improving together, and making students realize that even if the methods are mature, there is still room for innovation. It is an effective way to stimulate students' learning motivation and cultivate students' innovative consciousness to let students change from doubt to doubt and then generate new doubts. At the same time, teachers should also protect the enthusiasm of students to ask questions and avoid coercion and irony. Only in this way can students' thinking be fully displayed and their confidence in overcoming difficulties be increased.
Third, pay attention to variant teaching and cultivate different thinking.
Seeking difference is the core of innovation, which requires students to think independently, explore actively and solve problems creatively with their own wisdom and ability. Teachers should encourage students to be creative and think about the same content from different angles, such as "multiple solutions to one problem" and "multiple changes to one problem", so as to broaden students' thinking and provide students with opportunities for innovation.
In the process of teaching, consciously give students multiple solutions to a problem, and guide them to analyze and think about the same problem from different angles, different orientations and different viewpoints, thus expanding the field of thinking, increasing the opportunities for thinking, and enabling students to seek new methods without being satisfied with the inherent methods. This is not only beneficial to the connection between different parts of knowledge, but also enables students to broaden their thinking and greatly develop their fluency, flexibility and originality. For example:
In this way, some obstacles are purposely set for students, which inspires them to think positively and explore boldly, so that the "obstacles" can be finally eliminated. This will not only enable students to try the joy of creation and victory, but also enable students to maintain strong enterprising passion. Students can also be organized to write their own exercises, which require novel and unique topics and provide students with opportunities for innovation.