The first point: the breakthrough of computing power, neat handwriting is the key.

In junior high school, the first grade requires mastering the addition, subtraction, multiplication and division of negative numbers, and then the calculation of algebraic expressions; In the second day of junior high school, radical calculation appeared, algebraic expression calculation became more difficult, and fractional calculation appeared; The calculation of quadratic function in grade three is very large, which requires high comprehensive calculation ability and is almost the most difficult problem in the whole middle school stage.

As long as the primary school mathematics calculation foundation is solid, the first grade calculation will generally not have much problem. But by the second day of junior high school, the problems are often concentrated. Due to the sudden increase in the amount of calculation, all kinds of symbols appear together, and the whole calculation problem will be done in vain with a slight error. Therefore, the patience and carefulness of junior high school students are tested here.

The key to learning arithmetic problems is: writing.

First of all, it is necessary to cultivate junior high school students to love writing, not to be lazy on calculation problems, and not to omit steps casually, especially for beginners. Stealing this laziness will have disastrous consequences.

Secondly, the writing is neat. Write the calculation formula neatly, which is not only easy to watch, but also has fewer copying errors, so you can check the calculation errors; It also helps to strengthen self-control, so that some of your bad habits and bad temper do not appear, and the rigor of thinking can be maintained.

Therefore, all children had better practice calligraphy when they have time.

The second key is to break through the ability of geometric proof and cultivate the interest in geometric proof.

In junior high school, the most likely thing that stumbles the math teacher must be geometry proof. Geometric proof questions require high thinking ability, and children who don't like thinking will suffer here. Students who like geometry generally like to think, while children with high IQ often like geometry problems.

The breakthrough method of geometric proof problem is: we must remember some basic auxiliary lines. Making auxiliary lines is a difficult point in geometry. It is best to learn the practice of auxiliary lines in the summer vacation of the second day of junior high school.

The third key: comprehensive analysis ability breakthrough, complex topics should be decomposed step by step, patience and perseverance are the most important.

The last problem of mathematics in the senior high school entrance examination in various places is often a quadratic function synthesis problem. Let's take this topic as an example to illustrate how to break through the comprehensive analysis ability.

First of all, this kind of topic is very long and often has more than one difficulty, so most students are daunting. Breaking through this reading fear is the first priority. The breakthrough is to read paragraph by paragraph and analyze some conclusions.