First, mathematics teaching based on the core quality of mathematics

What to teach and how to teach? This is the eternal topic of teachers' teaching. Teachers' mathematics teaching based on mathematics core literacy should first update their concepts. To cultivate and improve core literacy, we should not only rely on imitation and memory, but also need to understand and feel, and we should actively and consciously combine the concept of "student-oriented" with teaching practice. 1 Grasp the mathematics curriculum as a whole

Mathematics teaching is based on the core quality of mathematics, and the overall understanding of mathematics curriculum is the basis. High school mathematics curriculum is an organic whole. In order to understand the nature and concept of mathematics curriculum as a whole and grasp the goal of mathematics curriculum as a whole, it is especially necessary to understand the core literacy of mathematics as a whole, understand the content structure, main line, theme, key concepts, theorems, models, thinking methods and applications of mathematics curriculum as a whole, and design and implement teaching as a whole. For example, take a chicken and a rabbit in the same cage. In primary school, we can use "enumeration method", "approximation method" and "hypothesis method", and these methods will still play a role in future study. But more attention should be paid to learning the "equation group method". Because mathematics teaching is not only to solve a specific problem, but also to think about how to solve a class of problems, a larger class of problems. All the problems of chickens and rabbits in the same cage are turned into a mathematical problem, and a general solution method-operation program is given. Not only that, but also lay a foundation for introducing binary linear equations into junior high school to solve a larger class of problems. In high school, we can further interpret it from the perspective of analytic geometry and vector ... In this process, students will constantly feel and understand the role of abstraction, reasoning and intuition, obtain new mathematical models, expand the application scope, enhance key abilities and improve the quality of thinking. 2 theme (unit) teaching

Mathematics teaching based on the core quality of mathematics requires teachers to jump out of teaching section by section and take "theme (unit)" as the basic thinking object of teaching. We can take "chapter" as the unit, such as "trigonometric function" as the teaching design unit; You can also take important topics in mathematics as teaching design units, such as "distance" or "geometric measurement relationship: distance, angle" and so on; It can also be based on general methods in mathematics, such as "model and undetermined coefficient". This is the core of deep learning, the grasp of deep learning and the overall grasp of mathematics curriculum, which can highlight the essence-the core literacy of mathematics, help diversify teaching methods, combine "teaching" with "learning" and promote students' autonomous learning; It is helpful to improve the professional level of mathematics teachers (mathematics, education and teaching theory, practice), which is the basic skill of backbone mathematics teachers, not teaching textbooks, but creatively teaching mathematics with textbooks.