I. Primary school stage
Digital fiber combustion and calculation: including the understanding of natural numbers, reading, writing and comparison of numbers, basic operations of addition, subtraction, multiplication and division, and calculation methods to solve simple practical problems.
Geometry and shape: including the understanding of plane graphics (such as lines, curves, polygons, etc.). ) and three-dimensional graphics (such as spheres and cubes). ), as well as the classification, construction and simple measurement of graphics.
Data and statistics: including data collection, collation, representation and analysis, as well as simple statistical methods (such as frequency table, histogram, etc. ).
Second, the junior high school stage
Algebra: including the understanding and operation of algebraic expressions, equations, inequalities and functions, as well as algebraic methods to solve practical problems.
Geometry: including the basic concepts and properties of plane geometry and solid geometry, such as angle, similarity and completeness. And the basic methods to prove geometric propositions.
Data and probability: including data sorting and analysis, representation and interpretation of statistical charts, basic concepts and calculation methods of probability.
The application of mathematics in real life and the cultivation of thinking ability
First, the application of mathematics in real life
Mathematics is a subject closely related to real life, and its application covers all fields. For example, in the field of engineering and architecture, mathematics plays an important role in design and calculation; In the financial and economic fields, mathematics is widely used in investment and market analysis;
In scientific research, mathematics is the basis of physics, chemistry, biology and other disciplines; In the field of information technology, mathematical algorithm is the core of software and network system. Therefore, mathematics is not only a discipline, but also a tool to destroy the way of thinking and solve problems.
Second, the cultivation of mathematical thinking and creativity
The study of mathematics course can cultivate students' thinking ability and creativity. Mathematical thinking is a kind of logical thinking. By studying mathematics, students can cultivate the ability of analyzing problems, summarizing and reasoning.
Solving mathematical problems requires flexible use of various methods and strategies to cultivate students' creativity and problem-solving ability. These thinking abilities and creativity are not only beneficial to mathematics, but also of great significance to other disciplines and real life.