First, change the role of teachers and guide teaching with new ideas.
Facing the educational reform in 2 1 century, mathematics teaching should fully embody the characteristics of "life", "activity" and "individuality", which requires mathematics teachers to update their teaching concepts, not only to have a scientific view of mathematics, but also to form a mathematical culture view, a mathematical value view and a mathematical application view from the philosophical level of mathematics, and gradually change from a static and absolute view of mathematics to a dynamic view of mathematics combining humanism and scientism. Therefore, in teaching, teachers fully respect students' personality and differences in mathematics learning, stimulate students' interest, and help students form an attitude of active exploration, diligence, courage to overcome difficulties and continuous progress. At the same time, teachers have begun to update the concept of students' learning evaluation, paying attention not only to the mastery of students' knowledge and skills and the improvement of their abilities, but also to the changes of students' emotional attitudes and values. Evaluation runs through the whole process of mathematics learning. Finding and affirming students' bright spots in time and highlighting the incentive and development function of mathematics evaluation are conducive to enhancing teachers' feelings and establishing a harmonious relationship between teachers and students. The new curriculum teaching emphasizes cultivating students' inquiry ability and cooperative learning ability, paying attention to the implementation of three-dimensional goals, carefully designing problems in teaching, exploring and finding ways and methods to solve problems, and teachers should be good directors to tap students' greatest potential and truly embody the people-oriented educational concept.
Second, for all students, change the teaching organization.
Modern education view holds that the essence of quality education is to actively educate students. Therefore, in classroom teaching, teachers should change their previous practices, correctly guide students to actively participate in the formation of knowledge, and let students truly feel that they are the masters of learning. Because students have different development, interests and specialties in knowledge, skills and abilities, teachers teach students in accordance with their aptitude. When organizing teaching, we should proceed from the reality of most students and give consideration to students with learning difficulties and spare capacity. In mathematics learning, the combination of individual efforts and cooperative learning can promote students' understanding of mathematics. In communication and discussion, we may clarify our understanding and correct our mistakes, which will help to expand our thinking, improve our ability and enhance our confidence.
Third, the implementation of "problem solving" to cultivate innovative quality
Problems are the core of mathematics, and students' development is inseparable from rich problems and their solutions. Finding problems, daring to doubt and exploring indicators are also important qualities of creative talents. In mathematics teaching, teachers began to pay attention to creating problem situations and put forward open and challenging questions, which aroused students' strong interest. Encourage students to exert their imagination and creativity in mathematics activities, actively discover problems, ask questions and explore problems, so that classroom teaching will constantly produce new problems in students' independent thinking, hands-on practice and cooperative communication activities, develop students' thinking in the process of solving one problem after another, and promote students' active thinking and practice. Even if some questions are ridiculous, some findings are wrong, and some explorations are unsuccessful, teachers are not cynical, but encourage them with a positive attitude, and help students analyze the causes of mistakes and failures, turn mistakes into correctness, and do not dampen students' creative enthusiasm, so that the creative flame generated in students' thoughts can burn and develop, and their understanding can enter a new height, thus improving students' innovative consciousness and ability. Fourth, strengthen the cultivation of students' learning ability and self-study habits.
Self-study ability is the ability of students to master and use knowledge independently, which is of great significance to students' further study or employment after graduation. The cultivation of self-study ability is gradually completed in the process of mastering and applying knowledge and skills. On the basis of cultivating students' self-study ability, further cultivating students' self-study habits is not only the need of students' study today, but also their future work. Ignoring self-study, students can only be confined to the scope of the teacher's explanation, and they can neither fully think and digest, nor extensively dabble in knowledge and broaden their horizons. Therefore, teachers should cultivate students' habit of self-study according to each student's ability differences and hobbies. In teaching, teachers should guide and encourage students to actively carry out research-based learning, improve students' learning level, research ability and innovation ability, so as to create a large number of young students who are willing to use their brains, diligent in practice and full of innovative spirit.
Fifth, strengthen the cultivation of students' good thinking quality.
A creative person must be good at multi-directional thinking, so in teaching, teachers often encourage students to get rid of the inherent mode, be good at thinking from different angles and methods (flexibility of thinking), don't be satisfied with superficial phenomena, guide students to be good at generalization and classification, grasp the nature and laws of things, be good at predicting the development process of things, and guide students to reach a certain depth and breadth of thinking (profundity of thinking). Encourage students to think quickly and react quickly (thinking quickly). Cultivate students to independently evaluate and analyze homework and results, dare to stick to their own opinions and beliefs with arguments, insist on independent thinking, and be good at asking questions (critical thinking). In classroom teaching, teachers encourage students to think whimsically, leaving enough time and space for them to think for themselves, exposing their own thinking and fully trusting their intelligence. In this way, both students and teachers are inspired and their thinking develops in a broader space.
Sixth, the integration of information technology and mathematics curriculum can improve students' mathematics literacy.
The extensive application of modern information technology is profoundly affecting the content of mathematics curriculum, mathematics teaching and mathematics learning. Information technology provides a resource environment, and information technology enters mathematics teaching, breaking through and expanding the information sources with mathematics textbooks and other reference materials as the main sources, enriching the closed and isolated mathematics classroom teaching with various related materials and expanding the knowledge capacity. In the teaching process, teachers should try their best to integrate information technology with the curriculum, such as making full use of computer technology to visually demonstrate the quantitative relationship described by mathematical models, and using computer software to present a large number of spatial geometric figures to help students understand their structural characteristics and cultivate their spatial imagination. The integration of information technology and mathematics curriculum enriches students' mathematics culture, improves students' mathematics literacy and greatly improves the teaching effect.