The difference between junior high school mathematics and primary school mathematics
1 the transition from arithmetic number to rational number. Transition from 2 to algebra. 3 the transition from arithmetic method to solving application problems with column equations. In primary school, students are basically exposed to arithmetic numbers, such as natural numbers, fractions, decimals and negative numbers, which are derived from real life and have the age characteristics of students. After entering junior high school, the range of numbers has expanded to rational numbers, and the operation of numbers has also risen from four operations of addition, subtraction, multiplication and division to power operation. After "rational number", the concept of "formula" is introduced, which is a transition from "number" to "an abstract algebraic formula with letters" and a major turning point for junior middle school students to learn mathematics. In the process of enumerating equations to solve practical problems, it is important to use appropriate unknowns to participate in the operation and enumerate equations with equivalent relations. This is the transformation of students' thinking mode from arithmetic thinking to algebraic thinking and a leap in junior high school students' thinking ability. Second, learning methods and habits are the key.
(1) Pay attention to preview and learn to teach yourself.
Preview is the beginning of self-study. After entering junior high school, you will gradually taste the sweetness of consciously seeking knowledge and solving problems, and consciously preview to lay the foundation for learning new knowledge.
② Listen attentively and be willing to think.
45 minutes in class is the most important. It is necessary to cultivate the habit of listening and thinking, and let the heart, eyes, ears, mouth and hands all participate in class activities. No matter before, during or after class, you should ask more why, and never let go of a question.
③ Standardize homework and strengthen training.
Pupils tend to pay more attention to results than to processes. After entering junior high school, some students can't think independently, the problem-solving format is not standardized, and the steps are chaotic. Therefore, we should realize the importance of standardizing homework ideologically and form a good habit of correcting homework consciously.
(4) Summarize in time, review the past and learn new things.
How to consolidate what you have learned? First, review and summarize, and reproduce the knowledge learned on the day or in this unit in time; Second, we must accumulate information for sorting. You can collect the wrong questions in homework and quizzes in time, which are skillful and easy to make mistakes, for reference when reviewing. Third, an essential ability.
Computing ability is a basic mathematical ability, and the problems about computing run through the mathematics study in junior middle school for three years. If the child's computing ability is not high and he often makes mistakes, it will definitely affect his grades. Therefore, parents should pay necessary and sufficient attention to the training of improving children's computing ability, and students must practice more and master the elementary arithmetic of arithmetic methods skillfully to ensure the correct rate of calculation.
In short, during this holiday, students must make reasonable arrangements, cultivate habits, pay attention to calculation, and lay a good foundation for senior one mathematics learning.
Math learning method of grade one in junior high school
Preview in advance according to the teaching progress;
The content of junior high school mathematics includes concepts, formulas and laws, so we should make records carefully when previewing, mark the places that we don't understand or are vague, and listen carefully in class with our own problems.
Listen carefully in class:
As the saying goes, if you don't listen for a minute in class, you may not be able to make up for it for an hour after class. Therefore, we must listen carefully, think carefully and remember carefully in class. Listen, listen to the origin of knowledge, listen to the key and difficult points, and listen to the ideas of solving problems. Think, think about associations, draw inferences and ask questions. Remember, take notes in class, and remember the methods and precautions of after-class inspection.
Seriously solve problems, both in and out of class;
Classroom exercises must be done carefully, which is the best witness to test whether you understand and understand the meaning in class. But remember, we must review the learning content, deepen our understanding, find time to do extracurricular exercises in time, and strengthen our memory.
Timely error correction
After checking the classroom exercises, after-class exercises, homework and unit tests assigned by the teacher, the teacher should refer to them, analyze the reasons for the mistakes, correct the mistakes in time, seek the help of classmates or teachers, and form a good habit of doing things today.
Learn to classify, sort out and summarize in learning;
Mathematics is closely linked. If you don't learn today, it will affect the content of the next section and form a vicious circle. Therefore, it is necessary to formulate a phased summary, link the knowledge points and achieve mastery.
Learn to manage your knowledge:
Manage your own textbooks, exercise books, exercise books, unit papers, etc. , and consult and review them when necessary.
Mathematics should learn methods and skills and form good habits.
Suggestions on improving math scores in grade one of junior high school.
1, carefully explore the first mathematical concept and formula.
Many students pay insufficient attention to concepts and formulas. This problem is reflected in three aspects: first, the understanding of the concept only stays on the surface of the text, and the special situation of the concept is not paid enough attention. Second, concepts and formulas are blindly memorized. Third, some students don't pay attention to the memory of math formulas in Grade One. Memory is the basis of understanding.
2. Be good at summarizing similar problems in senior one mathematics.
When you can summarize the topics, classify the topics you have done, know which types of topics you can do, master which common problem-solving methods, and which types of topics you can't do, you can really master the tricks of this subject and truly "let it be ever-changing, I am unmoved."
My suggestion is that "summary" is the best way to do fewer and fewer problems.
3. Senior one learns to do a set of math mistakes and review and browse at ordinary times.
So, I suggest you collect your typical math mistakes and problems that you can't do in Grade One, because once you do, you will find that you thought you had many small problems before, but now you find this one is recurring; You thought you didn't understand many problems before, but now you find that these key points have not been solved.
4. Ask questions and discuss math problems that senior one doesn't understand.
Find problems you don't understand and actively ask others for advice. "Building a car behind closed doors" will only make your problems more and more. Discussion is a very good learning method. After discussing a math problem in Grade One with classmates, we may get good inspiration and learn good methods and skills from each other. It should be noted that it is best to discuss with students of the same level, so as to help everyone learn from each other.
My suggestion is that "diligence" is the foundation and "curiosity" is the key.
5. Pay attention to the cultivation of practical test experience in junior one mathematics.
Examination itself is a science. Every exam, everyone should find a suitable adjustment method and gradually adapt to the rhythm of the exam with the passage of time. The problem of slow problem solving needs students to solve in their usual problem solving. Doing homework at ordinary times can limit time and gradually improve efficiency. In addition, in the actual exam, we should also consider the completion time of each part to avoid unnecessary panic.