First, actively cultivate students' creative thinking
1. In the initial teaching of mathematics, teachers must focus on understanding and mastering students' basic knowledge, especially when explaining new knowledge, strictly follow the staged characteristics of students' cognitive development, teach students in accordance with their aptitude according to the actual situation of different students, and set goals for students respectively, so that students can have a feeling of "jumping up and touching peaches" and improve their confidence in learning high school mathematics.
2. Pay attention to the teaching of mathematical thinking methods and guide students to improve their mathematical consciousness. Mathematics consciousness refers to students' choice of their own behavior, what to do and how to do it when solving mathematics problems. When some students face math problems, the first thing they think of is which formula to set and which problem to imitate, so they can't solve problems that they haven't seen or the background is a little unfamiliar. This is a manifestation of backward mathematics consciousness.
3. Induce students to expose their original thinking frame and eliminate the negative influence of thinking mode. For example, teachers can set difficult questions and discuss them. The problem is thought-provoking. Students are particularly impressed by choosing concepts that students can't understand, knowledge that can't be used correctly or problems that are easy to confuse for students to discuss and draw correct conclusions from their mistakes. Moreover, by exposing students' thinking process, the influence of negative thinking mode on solving problems can be eliminated.
Second, encourage students to carry out research-based learning.
1. Let students get the experience of personally participating in research and exploration. Research-based learning emphasizes that students gain personal experience through independent participation in learning activities similar to scientific research, and gradually form a positive attitude of being good at questioning, being willing to explore, being diligent in doing things and being thirsty for knowledge. Teachers should pay attention to setting open topics in the teaching process, so that students can fully experience the fun of participation, generate positive emotions and stimulate the desire for exploration and innovation.
2. Cultivate students' ability to find and solve problems. In the learning process, teachers guide and encourage students to discover and ask questions independently, design solutions to problems, collect and analyze data, investigate and study, draw conclusions, exchange results, guide students to use existing knowledge and experience, learn and master some scientific research methods, and cultivate students' ability to discover and solve problems.
3. Cultivate students' sense of sharing and cooperation. The consciousness and ability of cooperation are the basic qualities that modern people should have. The development of research-based learning will strive to create an educational environment conducive to interpersonal communication and cooperation, so that students can learn to exchange and share research information, ideas and achievements, and develop a team spirit of cooperation.
Mathematics teaching is the teaching of mathematics activities, and mathematics learning is not simply accepting knowledge, but a student-centered mathematics activity. Therefore, in mathematics classroom, teachers should consciously strengthen the cultivation of students' creative thinking and research-based learning ability, and be able to use mathematics to find problems, solve problems, communicate and process information. It is bound to cultivate more innovative and research-oriented talents.