Methods and skills of mathematics in junior high school, how to learn mathematics methods and skills

1. Usual math learning:

1. Carefully preview before class The purpose of preview is to be able to better listen to the teacher's lecture, and through the preview, the mastery should reach 80% Listen to the teacher's lecture with questions that you don't understand in the preview to answer this kind of question Preview can also improve the overall efficiency of listening to the class Specific preview method: finish the questions in the book, draw the knowledge points, and the whole process lasts about 15-20 minutes If time permits, you can also finish the workbook

2. Combine learning and practice in mathematics class In mathematics class, it is useless to just listen When the teacher asks students to go to the blackboard to perform calculations, they also have to practice on scratch paper If you encounter a problem that you don't understand, you must put it forward, and you can't help but ask for a solution Otherwise, you may not do it when you encounter similar questions in the exam When listening to the teacher's lecture, you must pay full attention and pay attention to the details, otherwise "the embankment of a thousand miles will be destroyed in the anthill".

3. Review in time after class After writing the homework, sort out the content of the teacher's lecture that day, and you can do about 25 minutes of extracurricular questions appropriately You can choose the extracurricular book that suits you according to your own needs, and the extracurricular content of the extracurricular questions is probably today's class

The 4 unit test is to detect recent learning In fact, the score represents your past, and the key is to summarize and learn lessons from each exam, so that you can do better in the mid-term and final exams Teachers often conduct exams without notice, so it is necessary to do "after-class review" in time

2. Mid-term final math review:

If the entire test paper is not good, then you can make a copy of the test paper and redo it In addition to the test paper, you can also redo the wrong questions, difficult problems, and easy to make mistakes on the homework In addition, you can also do 2 or 3 final mock papers

Three: Math Exam Skills:

If you want to get a high score, you can't lose points in the choice, fill in the blanks, and calculate the questions When you take the math test, you can't desert your thoughts, and you can't think about "what if you don't do well in the exam" when you encounter a difficult problem Under normal circumstances, the problems in the final exam are the ones that you don't know how to do, but you may suddenly understand When you encounter this kind of question, you should be calm and calm, and use all the conditions that the question gives you to analyze, such as two blank bells in this exam, and a few questions to fill in the blanks at the end of last year's seventh grade These conditions are very helpful for your problem solving Have enough time in the midterm and final exams, press down your speed, not as fast as possible, and strive to succeed in one attempt Leave about 35 minutes for the check

Finally, I remind everyone: doing more questions has a certain effect, but the most important thing is to listen to lectures in class, answer questions carefully, improve accuracy, and summarize experience You should also apply the knowledge you have learned to life, so that you can apply what you have learned When you use mathematical knowledge to solve practical problems in life, you will feel the joy of learning.

The problem-solving methods introduced below are the most commonly used in junior high school mathematics, and some of them are also required to be mastered in the middle school syllabus.

1. Matching method.

The so-called formula is to use the method of identity deformation of an analytic formula to match some terms into the sum form of one or several polynomials to the power of integers. The method of solving a mathematical problem through a recipe is called the matching method. Among them, the most used is the perfect flat method.

The matching method is an important method of identity deformation in mathematics, and it is widely used in factorization, simplifying radicals, solving equations, proving equations and inequalities, finding extreme values and analytic formulas of functions, etc.

2. Factorization.

Factorization is the form of multiplying a polynomial into several integer products. Factorization is the basis of identity deformation, which plays an important role as a powerful tool in mathematics and a mathematical method in solving problems in algebra, geometry, trigonometry, etc. There are many methods of factorization, in addition to the method of extracting common factors, formula method, group decomposition method, cross multiplication method, etc., which are introduced in middle school textbooks, there are also methods such as using split terms to add terms, finding root decomposition, commutation, pending coefficients, etc.

3. Substitution method.

The commutation method is a very important and widely used method of solving problems in mathematics. We usually call unknowns or variables as elements, and the so-called commutation method is to replace a part of the original formula with a new variable or transform the original formula in a more complex mathematical formula, so that it is simplified and the problem is easy to solve.

4. Discriminant formula method and Vedic theorem.

The discriminant discrimination of the roots of the unary quadratic equation ax2+bx+c=0 (a, b, c belong to r, a≠0), =b2-4ac, is not only used to determine the properties of the root, but also as a method of problem solving, it has a very wide range of applications in algebraic deformation, solving equations (groups), solving inequalities, studying functions and even geometry and trigonometric operations.

Vedic theorem finds another root in addition to knowing one root of a quadratic equation; In addition to simple applications such as finding the sum and product of two numbers, you can also find the symmetry function of the root, calculate the symbol of the root of the quadratic equation, solve the symmetry equation, and solve some problems about the quadratic curve.

5. Pending coefficient method.

When solving a mathematical problem, if the result is first judged to have a certain definite form, which contains some coefficients to be determined, and then the equation about the coefficients to be determined is listed according to the conditions of the problem, and finally the values of these coefficients are solved or a certain relationship between these coefficients is found, so as to solve the mathematical problem, this method of solving the problem is called the method of undetermined coefficients. It is one of the commonly used methods in middle school mathematics.

6. Structural method.

When solving problems, we often use such a method, through the analysis of conditions and conclusions, to construct auxiliary elements, which can be a graph, an equation (group), an equation, a function, an equivalent proposition, etc., to build a bridge connecting conditions and conclusions, so that the problem can be solved, this mathematical method of problem solving, we call the construction method. The use of construction method to solve problems can make various mathematical knowledge such as algebra, trigonometry, and geometry penetrate into each other, which is conducive to problem solving.

The key to learning junior high school mathematics well lies in one's real ability, not form. A lot of junior high school students have a lot of math notes, and the final exam results are like that. Whether it is junior high school mathematics or other subjects, the key is not to pay attention to the sense of form, the key is to learn the problems and knowledge thoroughly.

How to learn mathematics well in junior high school, we summarize as follows:

First, you must first preview, preview is more important, preview can find your own shortcomings, but also let yourself learn more knowledge, because only self-learning things, you can remember, so preview is very, very important.

Second, you must understand and then carry out consolidation exercises, consolidation exercises are also a very important link, only consolidation exercises, you will know whether your knowledge is fully mastered in the future, you must complete these matters in time, can not procrastinate, you can learn mathematics well.

First of all, it is best to classify the mathematics of your own mathematics, because different math problems have different solutions, then the same idea is the type of questions classified into a category, so that the solution is correct, and it will be easy to get the correct answer in the end, so the method is very important, and it can achieve twice the result with half the effort.

Mathematics focuses on understanding, learning mathematics must be able to draw inferences, many questions are through, the method is the same! As long as you master the basic question types and then be able to understand the essence of the question, you are good to go. Math problems are mainly about thinking about how to arrive at the results and answers, and it is important to know the process of solving the problems.

Junior high school mathematics is not difficult to learn, and if you have a good foundation, you can do more questions.

Junior high school mathematics is relatively basic, so the most important thing must be to practice your calculation skills, do a little calculation every day to ensure your correct rate, and learn to think. If you have time, you can organize your notebook.

How do you learn math well in junior high school? In fact, I think we should improve our math knowledge reserves, and then review more often, brush up on more questions, and your grades will naturally improve.

It should be easy to understand the formula of each knowledge point by heart, and add a certain connection.

Mathematics in junior high school is a simple application of knowledge, and then the ability to solve problems is enough.

Middle school math test tips and methods are as follows:

1. The solution of multiple-choice questions

1. Direct method: According to the conditions of the multiple-choice questions, through calculation, reasoning or judgment, the final result of the question is obtained.

2. Special value method: (special value elimination method) Some multiple-choice questions involve mathematical propositions related to the value range of letters;

When solving this kind of multiple-choice question, you can consider selecting a few special values from the range of values, substituting them into the original proposition for verification, and then eliminating the wrong ones and retaining the correct ones.

3. Elimination method: return the four conclusions given by the question to the original question stem for verification one by one, and eliminate the errors until the correct answer is found.

4. Phasing out the Fayan Mahu: If we do not do it in one step in the process of calculation or derivation, but step by step, we adopt the strategy of "take a walk and take a look";

Each step is compared with the four conclusions, and the impossible is eliminated, so that the three wrong conclusions are all eliminated if the last step is not taken.

5. Combination of numbers and shapes: according to the internal relationship between the conditions and conclusions of mathematical problems, it not only analyzes its algebraic meaning, but also reveals its geometric meaning;

Combine quantitative relations and graphs in a clever and harmonious way, and make full use of this combination to seek solutions to problems and solve problems.

2. Commonly used methods of mathematical thought

1. The idea of combining numbers and shapes: according to the internal relationship between the conditions and conclusions of mathematical problems, it not only analyzes the meaning of its algebraic modulus silver number, but also reveals its geometric significance;

Combine quantitative relations and graphics skillfully and harmoniously, and make full use of this combination to seek disintegration ideas and solve problems.

2. The idea of connection and transformation: things are interconnected, mutually restrictive, and can be transformed into each other. The various parts of mathematics are also interconnected and can be transformed into each other.