1, highlighting the cultivation of mathematical thinking methods. By introducing problems in life, students are guided to understand, accumulate and master basic mathematical ideas and methods through observation, operation and reasoning, thus improving mathematical literacy.

2. Pay attention to students' participation and inquiry. By designing lively and interesting teaching activities in various forms, we can guide students to actively participate, think independently and cooperate and communicate, and stimulate students' interest in learning and desire to explore.

3. Strengthen the connection between mathematics and life. By introducing problems in life, students are guided to apply mathematical knowledge to solve practical problems, and their mathematical application consciousness and practical ability are enhanced.

4. Pay attention to cultivating students' innovative consciousness and ability. By designing open questions, we can guide students to think about problems from multiple angles and levels, encourage students to explore independently, guess and verify boldly, and cultivate their innovative consciousness and ability.

Mathematics, from ancient Greece μ? θξμα(máthēma)； Often abbreviated as math or maths, it is a discipline that studies concepts such as quantity, structure, change, space and information. Mathematics is a general means for human beings to strictly describe and deduce abstract structures and patterns of things, and can be applied to any problems in the real world.

All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics. Mathematics plays an irreplaceable role in the development of human history and social life, and it is also an indispensable basic tool for studying and studying modern science and technology.

structure

Many mathematical objects, such as numbers, functions, geometry, etc., reflect the internal structure of continuous operation or the relationships defined therein. Mathematics studies the properties of these structures, for example, number theory studies how integers are represented under arithmetic operations. In addition, similar things with different structures often happen.

This makes it possible to describe the state of a class of structures through further abstraction and then axioms. What needs to be studied is to find out the structures that satisfy these axioms among all structures. Therefore, we can learn abstract systems such as groups, rings and domains. These studies (structures defined by algebraic operations) can form the field of abstract algebra.