Learn math and love math. Mathematics is beautiful, its ontology is simple and clear now, and it is a kind of rational beauty and abstract beauty. Mathematics is like a garden. You can't see its beauty without entering the door, but once you enter it, you will find it really beautiful. Many mathematicians put their interest in the primary position of learning mathematics well. Secondly, curiosity, learning mathematics should have ideas, dare to guess and learn mathematics with curiosity. Find pleasure and a sense of accomplishment from the process of solving problems. As long as curiosity and thirst for knowledge become the desire to solve problems, we can consciously improve our ability to solve problems by using mathematical knowledge. Only when you are full of fun in learning mathematics can you study and study mathematics more consciously.
2. Read the book carefully and understand the mathematical language.
It is a common problem for middle school students not to like math classes. Mathematics textbooks are written in mathematics language, including written language, symbolic language and graphic language. Its language is concise, logical, rich in connotation and profound in meaning, so reading a math textbook must not be fleeting.
Mathematical concepts, definitions, theorems, etc. They are all expressed in written language, so be sure to pay attention when reading. There are five essentials to preview: ① draw the key points with wavy lines; ② Labeling formulas and conclusions; 3 Draw a question mark with a pencil where you don't understand and have questions; (4) Write the answers to simple exercises and the key points of solving problems at the back; ⑤ If there is more than one condition in the definition and theorem, the conditions should be numbered.
Symbolic language is rich in connotation, so we should write, argue and remember clearly. When reading symbolic language, we should tell its meaning and distinguish its characteristics.
Graphic language can not only reflect the relative position of elements, but also directly reflect the quantitative relationship. Therefore, when watching geometric figures, we should understand the hidden internal relations and quantitative relations between graphic elements; While looking at the image, we should glimpse the essence of the function from its shape.
If reading math books before and after class can meet the above requirements, learning math is an introduction; If we form a good reading habit from this, we can improve our grades just around the corner.
3. Listen carefully and master the thinking method.
Listen attentively and think positively with the teacher's explanation. Do you understand the seemingly understandable concept in the preview? Has the mystery been solved? The teacher's oral insights, supplementary examples and wonderful answers should be recorded quickly. Writing a good speech will not only leave valuable information, but also help you concentrate.
In class, you should constantly doubt and question, and dare to ask and answer questions. Think about whether the teacher's explanation is complete and correct, and whether the answer is rigorous and flawless. If you understand the example of blackboard writing, you should come up with a new solution; When in doubt, ask questions boldly. Contending to answer questions is by no means "graphic expression", but to elaborate one's own views and improve one's oral expression ability. Even if your answer is wrong, it is easy to book a certificate after exposing the problem. The most taboo in class is to follow blindly, go with the flow, follow the trend, and not pretend to understand.
4. Learn independently and learn to summarize.
To develop the good habit of autonomous learning, we must do the following:
(1) Finish your homework on time and consolidate your knowledge. Only by finishing homework on time can we consolidate our knowledge and minimize forgetting. In the process of completing homework, it will increase the repetition rate of knowledge, promote one's thinking ability and give play to the creativity of solving problems.
Students who study well should also pay attention to the cleaning and collection of homework, because this is not only a treasure of their own labor achievements, but also a good review material.
(2) Review lessons in time to form a knowledge network. Chapter review, unit review and exam review are indispensable parts in mathematics learning, which have the function of connecting the past with the future. When reviewing, we should sum up knowledge and methods according to a certain system to form a "latitude and longitude network" of mathematics. The "essence" here refers to the knowledge of each branch of mathematics; "Weft" refers to the application of the same mathematical method in different branches. If you want to learn mathematics well, you must weave the "latitude and longitude net" of mathematics well.
③ Attention should be paid to the standardization of writing. Mathematics is a highly specialized subject, which has strict requirements on the process of expression and narration and the rules of symbol use. Therefore, when doing exercises, homework and exams, writing should be standardized.
(4) Apply what you have learned and keep on pioneering and innovating. Mathematics has a strong correlation, and there is no insurmountable gap between old and new knowledge. Therefore, learning from books and associating can not only improve students' interest in learning, but also cultivate their creative thinking ability.
Please adopt, your adoption is the driving force for my progress! You can ask questions until you understand! !