First, update the concept and establish the concept of mathematics teaching quality
Changing educational ideas and concepts, talents and quality concepts is the premise of implementing quality education. The key to changing ideas is to construct students' dominant position, promote students' active and all-round development, and educate students to learn to be human, learn to seek knowledge, learn to do things, learn to keep fit and learn to create. The purpose of middle school mathematics teaching is to face all students, not only to cultivate their mathematics literacy, but also to improve their comprehensive quality and make them become creative people. Because students have different interests and specialties in knowledge, skills and abilities, there are individual differences among students. Teachers should create conditions and teach students in accordance with their aptitude, so that each student can develop and improve in different degrees. Secondly, we should give full play to students' main role and consciously integrate quality education into teaching. In teaching, teachers should carefully design and create situations to fully mobilize students' learning enthusiasm, so that every student can participate in the whole process of teaching, actively think, ask questions and solve problems under the guidance of teachers, so that students' wisdom potential can be developed and their quality can be improved in the process of giving full play to their main role. This is the quality view of mathematics teaching. Implementing the strategy of "problem solving" will be a breakthrough for us to implement quality education in mathematics. The entrance examination system in China has seriously affected the trend of mathematics teaching. Although the country has also put forward a series of corresponding reform measures, it can be predicted that the "absolute authority" of the baton of the college entrance examination will still exist for a long time, which has brought certain difficulties to our quality education. One way is to implement the "problem solving" strategy. As we all know, China is a "problem-solving kingdom". We solve problems every day, but the problems we solve are different from those in "problem-solving". The "problems" here generally refer to those problems that are intellectually challenging to human beings, have no ready-made methods, programs or algorithms that can be directly applied, and need to be solved by comprehensive use of various mathematical knowledge and skills, including non-traditional application problems and intellectual games. Problem solving has become an important topic in mathematics education all over the world. With the in-depth study of it, people will pay more and more attention to the open mathematics problem, which is a new type of question compared with the traditional closed problem. It is characterized by the uncertainty (diversity) of the supplementary points or conclusions of the problem, and because of this, the problem-solving strategies of open questions are often varied. This kind of "problem" is challenging for students and is of great benefit to cultivating their creative thinking ability. It should be vigorously promoted. Therefore, the "problem" is different from the traditional math exercises and exercises, and it is also different from the difficult and strange questions, and it is not the same as our current middle school exam questions. We advocate using "questions" to supplement, re-select and influence our examination questions, and further strengthen our quality education. In recent years, we have been talking about the reform of mathematics education, but we have not found an ideal way to implement the strategy of "problem solving" and strengthen the teaching of open questions, which is an effective breakthrough in our reform of mathematics quality education. ?
Second, the infiltration of ideological and moral education in mathematics teaching
1. Patriotism education
(1) Cultivate students' patriotism by introducing China's achievements in ancient and modern mathematics. In the current compulsory education textbooks, there are many contents related to China's achievements in ancient and modern mathematics. We should consciously dig them out, introduce mathematical historical materials appropriately while imparting relevant knowledge, and educate students in patriotism.
(2) Through the relevant contents in the teaching materials, compile mathematical topics that are both practical and ideological, reflecting the superiority of China's socialist system, the correctness of the reform and opening-up policy and the great achievements in the construction of the motherland, so that students can be subtly educated in the ideological education of loving the socialist system and the socialist motherland; Make students understand the national conditions of China, and inspire them to devote themselves to the four modernizations and the prosperity of the motherland.
2. Dialectical materialism education
Dialectical materialism education is mainly about the viewpoint that the world of dialectical materialism is material, the viewpoint of unity of opposites, the viewpoint of movement change, the viewpoint of quantitative change to qualitative change, and the viewpoint of mutual connection and mutual restriction. Middle school mathematics itself contains rich dialectical materialism factors such as unity of opposites, quantitative change and qualitative change, movement change, mutual connection and mutual restriction. In teaching, if we can attach importance to these factors and consciously use materialist dialectics to explain the teaching content, we can let students understand the internal relationship of mathematical knowledge more deeply. In this way, it is not only beneficial for students to learn mathematics knowledge well and improve their dialectical thinking ability, but also beneficial to cultivate their dialectical materialist views and lay the foundation for gradually forming a communist world outlook.
3. Education of good study attitude and study habits.
The purpose of mathematics education is not only to impart mathematics knowledge, but more importantly, to enable students to gradually master good behaviors through mathematics learning and practice, including correct learning objectives, strong interest in learning, tenacious learning perseverance, scientific attitude of seeking truth from facts, independent thinking and innovative spirit. And turn these good behaviors into your own habits and enjoy them for life. Therefore, cultivating good learning attitude and habits is also a basic task and an important goal of mathematics teaching.
Third, pay attention to the teaching of mathematical thinking methods.
Mathematical thinking method is the general name of mathematical thinking and mathematical methods. Mathematical thought is a rational understanding of the regularity of the formation of mathematical knowledge and methods, and a fundamental strategy to solve mathematical problems. Mathematical methods are the means and tools to solve problems. Mathematical thinking method is the essence of mathematics. Only by mastering the mathematical thinking method can we really master mathematics. Therefore, mathematical thinking method should also be one of the basic qualities that students must possess. There are many mathematical ideas and methods in the current textbooks. In teaching, we should fully tap the mathematical thinking methods reflected by the basic knowledge of mathematics, design the teaching objectives of mathematical thinking methods, timely infiltrate, repeatedly strengthen and summarize the teaching contents, and arm students with mathematical thinking methods, so that students can truly become the masters of mathematics.
Fourth, the cultivation of thinking ability.
The quality of thinking is an important determinant of national quality. In order to promote the development of students' thinking ability, we must pay attention to students' thinking activities in the process of mathematics learning, study the development law of thinking activities, and study the related types, functions, structures, internal relations and their functions in mathematics teaching. In teaching, we should pay attention to cultivating students' good thinking quality, so that students' thinking has a clear purpose and direction and has their own opinions; Not only should we have broad ideas, but also have the ability to find problems; Not only dare to innovate, but also analyze specific problems. Mathematics is the gymnastics of thinking. From this perspective, mathematics itself is a means to exercise thinking. We should make full use of this function of mathematics and cultivate the thinking ability throughout the whole teaching process. In teaching, we should pay special attention to cultivating students' good thinking quality, so that students' thinking has a clear purpose and direction and their own opinions; It not only has broad ideas, but also exposes the essence of the problem; Not only dare to innovate, but also analyze specific problems.
Fifth, the psychological quality of educational mathematics
Teaching plays a positive role in enhancing students' psychological quality, cultivating students' healthy emotions, perseverance, good personality characteristics and self-esteem, self-improvement, optimism and enterprising spirit. The cultivation of students' psychological quality is mainly manifested in the stimulation of learning interest and the cultivation of good will quality.
Teaching has a strong educational function, which is not only beneficial to cultivate students' patriotism and dialectical materialism, but also plays a positive role in enhancing students' psychological quality.
Interest is the best teacher. A strong interest in learning can make people's senses and brains in the most active state, and they can receive teaching information best; A strong interest in learning can effectively induce learning motivation and urge students to consciously concentrate and devote themselves to learning activities. In teaching, by introducing China's outstanding achievements in the field of mathematics, introducing the extensive application of mathematics in life, production and other sciences and students' personal experiences, students' enthusiasm for learning mathematics well can be stimulated. By designing situations, asking questions, guiding students to explore and discover, and letting students experience the happiness of success and discovery; Use appropriate teaching methods and means to stimulate their thirst for knowledge and curiosity, thus cultivating their strong interest in learning.
In teaching, we can introduce the outstanding achievements in the field of mathematics in China, introduce the wide application of mathematics in life, production and other sciences, and stimulate students' motivation to learn mathematics well. By designing situations, asking questions, guiding students to explore and discover, and letting students experience the happiness of success and discovery; Use appropriate teaching methods and means to stimulate their thirst for knowledge and curiosity, thus cultivating their strong interest in learning. We should also pay attention to the cultivation and training of students' will quality. Enable students to form excellent qualities of being fearless, persevering and hardworking.
Implementing quality education is an urgent and arduous task. We educators should actively explore, practice hard, effectively implement quality education in teaching work, and make our own contribution to cultivating high-quality talents to revitalize China.