The 2022 version of the compulsory education mathematics curriculum standards clearly states that the new content is

The "2022 Edition of Compulsory Education Mathematics Curriculum Standards" clearly states that the new content is core competencies.

1. Cultivate students’ mathematical thinking ability

Overview of mathematical thinking ability: Mathematical thinking ability refers to students’ ability to use logic, induction, analysis and other methods to think when facing mathematical problems. , problem-solving ability. Cultivating students' mathematical thinking ability can help improve students' understanding and application of mathematical knowledge and improve their overall quality of problem-solving.

2. Stimulate students’ curiosity and desire for knowledge

Stimulate students’ curiosity and desire for knowledge: Curiosity and desire for knowledge are the basis for cultivating students’ mathematical thinking ability. Teachers should guide students to actively explore mathematical knowledge and stimulate students' curiosity and thirst for knowledge by designing challenging and interesting teaching activities.

3. Cultivate students’ logical thinking ability

Cultivate students’ logical thinking ability: Logical thinking ability is the core of mathematical thinking. Teachers should focus on cultivating students' orderly, rigorous, and reasoning way of thinking, and guide students to use logical reasoning, induction and summary when solving problems.

4. Improve students’ mathematical abstraction ability

Improve students’ mathematical abstraction ability: Mathematical abstraction ability refers to the ability to extract general rules from specific examples and express them with mathematical symbols. Teachers should guide students to discover mathematical rules from specific examples and learn to use abstract thinking to understand and solve problems.

Cultivation of mathematical modeling ability and practical problem solving

1. Cultivation of mathematical modeling ability

Overview of mathematical modeling ability: Mathematical modeling ability refers to the application of Mathematical knowledge, methods and ideas, the ability to abstract and simplify problems in the real world, establish mathematical models, and use mathematical methods to solve practical problems. Cultivating students' mathematical modeling abilities can help improve students' ability to use mathematics to solve practical problems.

2. The connection between real problems and mathematical models

The connection between real problems and mathematical models: Real problems often contain a large number of complex factors. Through mathematical modeling, real problems can be simplified into Mathematical models facilitate analysis and problem solving. Cultivate students' ability to identify key information in real-life problems and refine mathematical models.

3. Learning and practice of mathematical modeling methods

Learning and practice of mathematical modeling methods: Teachers should guide students to learn the basic methods of mathematical modeling, such as induction and deduction methods, simulation methods, etc., and practice through actual cases, so that students can master how to use mathematical modeling methods to solve practical problems.

4. Cultivate students' innovation consciousness and innovation ability

Cultivate students' innovation consciousness and innovation ability: In the process of mathematical modeling, students need to have innovation consciousness and innovation ability, and be able to learn from different Think about problems from different perspectives and come up with novel solutions. Teachers should encourage students to think about problems from multiple perspectives and cultivate students' innovative awareness and ability.