1, to cultivate students' mathematical thinking ability

Overview of mathematical thinking ability: Mathematical thinking ability refers to the ability of students to think and solve problems by using logic, induction and analysis when facing mathematical problems. Cultivating students' mathematical thinking ability is helpful to improve their understanding and application of mathematical knowledge and improve their comprehensive quality of solving problems.

2. Stimulate students' curiosity and thirst for knowledge.

Stimulate students' curiosity and thirst for knowledge: curiosity and thirst for knowledge are the basis of cultivating students' mathematical thinking ability. Teachers should design challenging and interesting teaching activities, guide students to actively explore mathematics knowledge and stimulate students' curiosity and thirst for knowledge.

3. Cultivate students' logical thinking ability.

Cultivate students' logical thinking ability: Logical thinking ability is the core of mathematical thinking. Teachers should pay attention to cultivating students' orderly, rigorous and reasoning thinking mode, and guide students to use logical reasoning and induction when solving problems.

4. Improve students' mathematical abstraction ability.

Improve students' mathematical abstract ability: Mathematical abstract ability refers to the ability to extract general laws from concrete examples and express them with mathematical symbols. Teachers should guide students to discover mathematical laws from concrete examples and learn to understand and solve problems with abstract thinking.

Cultivation of Mathematical Modeling Ability and Solution of Practical Problems

1, mathematical modeling ability training

Overview of mathematical modeling ability: Mathematical modeling ability refers to the ability to abstract and simplify problems in the real world by using mathematical knowledge, methods and ideas, establish mathematical models and solve practical problems by using mathematical methods. Cultivating students' mathematical modeling ability is helpful to improve their ability to solve practical problems with mathematics.

2. The relationship between practical problems and mathematical models

The connection between real questions and mathematical models: real questions often contain a lot of complicated factors. Through mathematical modeling, practical problems can be simplified into mathematical models, which is convenient for analyzing and solving problems. Cultivate students' ability to identify key information in practical 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, deduction and simulation, and practice them through practical cases, so that students can master how to use mathematical modeling methods to solve practical problems.

4. Cultivate students' innovative consciousness and ability.

Cultivate students' innovative consciousness and ability: In the process of mathematical modeling, students need to have innovative consciousness and ability, think about problems from different angles and propose novel solutions. Teachers should encourage students to think from multiple angles and cultivate their innovative consciousness and ability.