After entering junior high school, in the usual math class, we should do the following to ensure a firm grasp of what we have learned.
1. Prepare carefully before class. The purpose of preview is to listen to the teacher better. Through preview, the mastery level should reach 80%. Listen to the teacher answer these questions with questions that you don't understand in the preview. Preview can also improve the overall efficiency of attending classes. Specific preview method: finish the topics in the book and draw the knowledge points. The whole process lasts about 65438+.
2. Let the math class combine learning with application. It's no use just listening in math class. When the teacher asks the students to do calculations on the blackboard, they should also practice on the draft paper. Be sure to ask questions you don't understand. Otherwise, if you encounter similar problems, you may not take the exam. When listening to the teacher's lecture, you must concentrate on the details, otherwise, "the embankment of a thousand miles will collapse in the ant nest."
3. Review in time after class. After finishing your homework, sort out what the teacher said that day, and you can do extracurricular problems for about 25 minutes. You can choose the extracurricular books that suit you according to your own needs. The content of the extracurricular problem is probably the class you took today.
Unit test is to test the recent learning situation. In fact, the score represents your past. The key is to sum up and learn from each exam, so as to do better in the mid-term and final exams. Teachers often take exams without notice and review them in time after class.
In the study of the mid-term and final stage, we should sort out the usual unit papers and do the wrong questions again. If the whole test paper is not good, you can make a copy and redo it. In addition to the test paper, you can also redo the wrong questions, difficult problems and error-prone questions in your homework.
If you want to get high marks, you can't lose points in choosing topics, filling in the blanks and calculating problems. You can't be distracted during the math exam, and you can't think, "What if you don't do well in the exam?" In general, the final exam questions are those you don't know how to do, but you may suddenly understand. When you encounter this kind of problem, you should be calm and use all the conditions given by the problem to analyze it. There is plenty of time for mid-term and final exams, so we should slow down, not as soon as possible, and strive for one-time success. The inspection will take about 35 minutes.
Doing more questions has a certain effect, but it is most important to attend classes, answer questions carefully, improve accuracy and sum up experience. We should also apply what we have learned to our lives, so as to apply what we have learned. When you use mathematical knowledge to solve practical problems in life, you will feel the joy of learning mathematics.
The acquisition of problem-solving ideas generally goes through three steps:
1. Extract useful information from understanding the meaning of the question, such as graphic features and graphic structure;
2. Extract relevant information from memory, such as relevant formulas, theorems, basic patterns, etc.
3. Effectively reorganize the above two groups of information to make it a logical and harmonious structure.
There are three ways to express mathematics:
1. written language, that is, the content expressed in Chinese characters;
2. Graphic languages, such as geometric graphics and functional images;
3. Symbolic language, that is, the content represented by mathematical symbols, such as AB∨CD.
In junior and middle school, we should not only learn mathematics knowledge well, but also pay attention to the study of mathematical thinking methods. Mastering the ideas and methods will have a good effect on mathematics learning with half the effort. Among them, wholeness and classification, analogy and association, transformation and reduction, and the combination of numbers and shapes are not only important ideas for learning mathematics well, but also will play an important role in your future life.
Let's take a look at changing ideas first:
We know that everything is in constant motion, that is, transformation and change. In life, in order to solve a specific problem, no matter how complicated, we will simplify it, get familiar with it, and then solve it. It is embodied in mathematics that difficult problems are turned into simple problems, unfamiliar problems into familiar problems, and unknown problems into known problems.
For example, in the study of equations, the one-dimensional linear equation is the basis of learning equations, so when learning binary linear equations, we can change them into one-dimensional linear equations by adding, subtracting, and substituting for elimination. Transformation (addition, subtraction and substitution) is the means and elimination is the purpose. When learning a quadratic equation, we can transform it into two quadratic equations by factorization. Here, transformation (factorization) is the means and reduction is the purpose. Turn the unknown into the known and the complex into the simple. Similarly, ternary linear equations can be transformed into binary linear equations by addition, subtraction and substitution, and then into univariate linear equations. In geometry learning, triangles are the basis, and using diagonal lines as auxiliary lines, polygons can be transformed into multiple triangles to solve problems.
Therefore, we should attach importance to the application of the thought of transformation in mathematics study and life, and solving problems and transformation are the key.