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Methods and skills of solving junior high school application problems
Reflections on solving junior high school mathematics application problems

First, use list mode to solve application problems.

Solving practical problems with tables is actually a process of thinking, combing, analyzing, judging and reasoning, which not only makes the examination and analysis of the meaning of the problem simple and clear, but also makes the quantity and relationship match, and students can easily select useful data from it. This problem-solving model is especially suitable for practical problems with implicit quantitative relationship in the problem, or there are several possible situations for the problem to be solved. You can use the list method for analysis and thinking.

Second, use analogy to solve application problems.

Analogy is an important mathematical thinking method. It is based on the similarity of two or two objects in some aspects to find analogy problems, and through observation, analogy and association, the original problems are transformed into analogy problems to solve, which plays an inestimable role in cultivating students' thinking ability.

Third, use reverse thinking to solve application problems.

Reverse thinking is an important thinking ability, which means thinking from the opposite side of the problem. Some people call it "reverse thinking". This can not only enlighten students' wisdom and broaden their thinking, but also help them get rid of fixed thinking and habits, think backwards and answer application questions, and develop their quality.

Fourth, skillfully use hypothesis method to solve application problems

"Hypothesis" is a common method when thinking about mathematical problems. Some application problems are often troublesome to be solved by general methods such as analysis or synthesis. In order to clarify the problem, we can use reasonable "assumptions" to simplify the complex conditions and find the breakthrough of the problem.