How to cultivate students' consciousness and ability of loving mathematics application [Abstract] Mathematics is one of the indispensable powerful tools in modern production and life, and its thinking method, logical reasoning, spatial concept and practical application value have been paid more and more attention by the society and penetrated into all fields. In view of the current situation that middle school students have poor practical ability and weak sense of modeling application, we should let students enter mathematics life, experience mathematics in life, examine the application value of mathematics, cultivate students' awareness of independent exploration and mathematical modeling, and develop students' mathematical application ability. In this paper, how to cultivate students' awareness and ability of mathematical application, from its practical significance, training methods and other aspects to do some self-elaboration, and discuss with you. [Keywords:] Experience; Mathematical modeling; Application consciousness; Training mode 1. The important practical significance of cultivating students' awareness and ability of mathematical application (1) It is the need of the times to cultivate students' awareness and ability of mathematical application. With the rapid development of science and technology, the accelerated arrival of knowledge economy and the comprehensive popularization of information technology, mathematics has penetrated into various fields and gradually entered the technical field from socialization. It is an important basic course for cultivating high-tech talents. Cultivating students' mathematics application consciousness and ability is an essential technical means and tool in future production and daily life, an important measure to transfer mathematics education into the track of improving citizens' quality education, and an unshirkable responsibility and urgent task for our mathematics educators. (2) It is the need of the new curriculum reform to cultivate students' awareness and ability of mathematics application. The new mathematics curriculum will strive to make students understand the close relationship between mathematics and nature and human society, understand the value of mathematics, enhance their confidence in understanding and applying mathematics, learn to use mathematical thinking methods to solve problems, and form a scientific spirit of courage to explore and innovate. Mathematics is around us, and it is an indispensable tool for people's life, work and study. It comes from life, but it is higher than life. Mathematics, as a scientific language and an important tool to promote scientific development, plays an irreplaceable role in human history and will play a greater role in future social development. The study of mathematics only stays at the level of mastering knowledge, which is undoubtedly an armchair strategist. We must learn to apply it. Only with the consciousness and initiative of applying knowledge can knowledge be truly transformed into learners' own quality and practical ability. Only in this way can we make the mathematics we have learned full of vitality and realize the real value of mathematics. This requires us to pay attention to cultivating students' application consciousness, creating appropriate scenes, broadening application channels and developing students' practical application ability from an early age. (3) It is the need of society to cultivate students' awareness and ability of mathematics application. For a long time, there has been an insurmountable gap between mathematics education and our "life world". Until the mid-1970s, some world-famous mathematics educators criticized mathematics education, especially pointing out that what students have learned is almost useless to their present and future lives, and mathematics is far from real life. In view of these phenomena, experts pointed out that students should not only learn and master professional knowledge according to their own wishes, but also have the awareness and ability of application, and analyze their present and future lives with the help of mathematical data, so as to better control their behavior. Mathematical structure, ideas, operations and methods can only be accepted as teaching content if they serve this general goal. As future social citizens, if students can analyze, reflect and evaluate the development of nature, society and economy from the perspective of mathematics, then the quality of the whole nation can be further improved and society can develop to a deeper level. (4) Cultivating students' awareness and ability of mathematical application is the need to improve students' innovative thinking, that is, creative thinking refers to the process of inventing or discovering a new way to deal with things or the ability to analyze, judge and reason things. His way of thinking is good at seeking common ground as well as seeking differences. In mastering and understanding knowledge and concepts, we can not only assimilate new knowledge concepts into existing concepts and knowledge systems, but also transform the original knowledge concepts with new knowledge concepts; In solving problems, I don't stick to formulas, and I am good at solving practical problems in production and life with simple and applicable methods. It is manifested in creative activities, not sticking to the rules, not sticking to the rules, not content with the status quo, with innovative consciousness and rich creative imagination. Mathematics is not only a basic discipline, but also a thinking discipline, which is one of the main channels to cultivate students' innovative thinking and practical ability. Just as Friedenthal, a famous mathematics educator in the Netherlands, has a unique opinion on whether to teach the concept of X or the object of thinking in the process of mathematics teaching: "Teaching the concept of X without care, love and concentration is the proper way to teach X, and ... the basic ultimate goal of teaching and learning is the object of thinking." Therefore, the important goal we face in the process of mathematics teaching is to cultivate students' awareness and ability of mathematics application and develop students' thinking ability, such as quantitative thinking, spatial concept, emotional reasoning and deductive demonstration. In particular, it is necessary to cultivate the excellent qualities of innovative talents such as independent exploration, cooperation and exchange, tenacity and independence, wit and courage, courage to take risks and innovation. Second, an effective way to cultivate students' awareness and ability of mathematics application (1) broadens students' horizons of mathematics knowledge and makes them understand the value of mathematics. The universe is big, the particles are small, the speed of rockets, the cleverness of chemical industry, the change of the earth, the mystery of biology and the complexity of daily use all contribute to mathematics. Marx pointed out a long time ago: "A science is truly perfect only if it successfully applies mathematics." This scientific conclusion was further verified in the social development and scientific and technological progress in 100. Turning over thousands of years of civilization history in China, from ancient people to modern civilization, the vigorous development and brilliant achievements of mathematics have attracted worldwide attention. It is more important for students to experience the above contents than to master a certain mathematical conclusion in teaching.