The learning methods of mathematics are ever-changing, but there are laws to follow after all, and the "foundation" is eternal. Only by laying a solid foundation can we make achievements in future study. Learning the basic concepts of mathematics well is one of the important ways to lay a solid foundation.
Mathematical concepts include: mathematical definition, mathematical formula, mathematical theorem and so on. Only by mastering the correct mathematical concepts can we understand the basic mathematical language, better understand the meaning of mathematics and deal with problems with mathematical thinking.
This requires us to understand the basic definitions in textbooks, master the mathematical formulas and theorems in textbooks, and understand the problem-solving ideas of examples in textbooks. Only by mastering the basic mathematical concepts skillfully can we draw inferences from others, make our mathematical knowledge comprehensive and improve our mathematical achievements.
2. Develop good study habits.
Mathematics study habits include classroom habits, homework habits and exam habits. Let's talk about these three habits in detail:
Classroom learning is the main position of learning activities, and classroom efficiency will directly affect the learning effect. Therefore, we should do "four meetings" in class, that is, thinking, asking questions, taking notes and discovering.
Thinking: Just follow the teacher's thinking, so that math knowledge is more organized and easier to accept.
You can ask questions: learning is the process of finding and solving problems, so if you have questions, you can get more math knowledge.
Note-taking: The process of taking notes on topics is a process involving hands, eyes and brain, which will deepen the mastery of knowledge and improve classroom efficiency.
Will "discover": through the summary of mathematical problems, find the law, so as to get twice the result with half the effort.
Many students feel that they have learned in class, so they "mix" in their math homework, which leads to weak basic knowledge and vague basic concepts.
The core of good homework habits is "independent completion and initiative". Every day's homework should be completed today, and the homework of that day must be completed on the same day, so as to consolidate classroom knowledge and ensure memory efficiency in the first time. In addition, homework should be done independently, and "plagiarism" is a common problem for many students. Once you get into the bad habit of plagiarism, your math scores will plummet; Even if you encounter problems, please ask your classmates or teachers for help and discuss with you. Only in this way can we deepen our impression and learn better and better.
Examination is an important part of study. Through the examination, we can summarize the learning achievements at a certain stage and find the problems in learning. In mathematics, the longest mistake students make is "carelessness". Of course, carelessness is not as simple as it seems, for many reasons. You can talk about the topic of "carelessness" in detail later. If you want to develop good test habits, you should start with four processes: careful review, careful examination of questions, careful thinking and careful summary, so that every test becomes a ladder of progress.
3, do math problems to talk about skills.
Be selective in the process of doing the problem. Think about what knowledge points this problem mainly talks about and whether you have encountered similar problems before. Only by carefully selecting and doing representative questions can we strengthen our understanding and mastery of knowledge points.
Many students only know how to do problems, but don't know how to summarize them, which can't reflect any learning effect. Therefore, it is very important to summarize after doing the questions. Only by summing up carefully can we accumulate experience in doing problems and achieve ideal results.
4. Work hard.
"No pains, no gains", achieving good results is not only "cleverness", but also hard work. Many students have poor grades, not because they are not smart, nor because they have the wrong methods, but because they can't bear hardships. "Bao Jianfeng comes from sharpening", and students with good grades regard learning as an interest, not a task. Therefore, if you want to learn math well, you must be prepared for a long-term attack. Only hard work can yield something.
6. Learn to read through textbooks.
To thoroughly understand the textbook, we should start from the following four aspects: to find out how many chapters there are in the textbook, and what each chapter mainly talks about, that is, to be familiar with the knowledge framework; What are the basic questions of each chapter? List the knowledge framework and basic questions as an outline and read them repeatedly; Familiarize yourself with and supplement the above outline by doing the questions.
7. Be good at summing up
It should be summarized from the following three aspects: (1) summarize the solutions, paying special attention to the phenomenon of multiple solutions to one problem and multiple solutions to one problem; (2) Summarize the big questions. Summarize the problems first, and then summarize the methods; (3) summarize the mistakes. If you have any questions, please ask your teacher or classmate immediately. After a period of training, I am not as confused as a headless fly when I pick up the topic again.
8. Rational use of examples
Examples play an important role in junior high school mathematics learning. We should make examples play a greater role in the following two aspects.
(1) Look at the examples after class. Just because you understand the examples in class doesn't mean that you have the ability to solve problems and transfer knowledge. After class, we need to re-examine and analyze the examples from a new angle. Due to the mastery of new knowledge, the expansion of knowledge and the guidance and teaching of teachers, we have different understandings of difficulties when we look at examples and enter a higher level. You will have a deeper understanding of the application of basic knowledge, the choice of analysis and reasoning methods. If you don't look at the examples after class, your thinking will stay at a shallow level, and you can't complete the transformation process from shallow to deep, from the outside to the inside.
(2) Examples of homework reasoning. Doing problems is the most important and effective way to use knowledge to solve problems and improve ability, and it is also the key to learn mathematics well. When doing homework, we must first identify the examples, that is, what kind of examples this problem belongs to in this chapter; Secondly, we should recall how the teacher solved the problem in class, then analyze several methods to solve the problem, and finally make clear which method is the easiest. If you can't remember clearly or forget the examples you have learned before, you should take time out to read, analyze and remember.
9. Learn to use the wrong book.
(1) Check the answer, put a red cross on the wrong question, write the correct answer next to it with pens of different colors, and then do this question until you get the correct answer.
(2) Establish a wrong question book, copy each wrong question on it, and have a look before each exam. Extract the abstract error reasons from the wrong questions, extract the characteristics of * *, and summarize them into the rules that should be paid attention to in the future. Take a look before the exam.
For example, nail the finished papers together, and then mark the wrong topic on the head of each paper. In this way, when you open the paper, you will know which questions are wrong, so you don't have to waste time wandering around.
Another example is to arrange the wrong questions according to the chapters where the knowledge points are located, which is convenient for analyzing the reasons for the mistakes. Also, you can add your own comments after each wrong question and write down the reasons for your mistakes. Look at your notes before the exam, it will be very rewarding.