Some people will associate math scores with children's IQ. The level of IQ does have a certain influence on learning mathematics, but it is definitely not decisive. In fact, it is study habits, not IQ, that play a decisive role.
In the process of learning, it is mainly necessary to develop good habits of "attending classes" and "practicing". As we all know, listening carefully in class and finishing homework seriously are the basic prerequisites for learning classes well. So how to listen carefully in class and how to finish homework exercises seriously? Many people can't tell why. As mentioned above, mathematics is more about understanding and application. The quality of "understanding" first depends on the efficiency of class. At present, the time of a class in middle school is 45 minutes. It is difficult for school-age children to concentrate on listening for 45 minutes because of physical and psychological influence. It is normal to have about 10 minutes after a class. But the key is at which stage 10 minute is. Some children start to lose their minds as soon as class begins, and when they come to their senses, they have no idea what the teacher is talking about. Therefore, children must develop the good habit of listening attentively, especially at the beginning of the teacher's lecture and during the key content period. Secondly, it is also important to keep pace with the teacher's thoughts in the process of listening to the class, which requires some preparation before class. There is no need to do everything in detail when previewing, as long as you have a general understanding of the new lesson. Some students once said that they had a lot of tutoring after class, but they couldn't catch up with some students who seldom exercised after class. This situation is largely a problem of low efficiency in class. Besides listening to lectures in class, you can also choose some reference books appropriately.
Then there is the habit of homework and practice. Most children regard doing exercises as completing tasks. They don't understand that doing problems is actually a process of consolidating review, checking for leaks and filling gaps. At present, teachers in most schools will correct and proofread the answers to daily homework or exercises. Children will encounter more or less wrong questions or questions that they can't. Doing something wrong means there is a problem, and modifying the topic is actually solving the problem, that is, filling the loophole. This time is very important! Many students write the correct answers directly on the edge of the topic, and they will still make mistakes next time they encounter similar topics. This is not reviewing, but "writing answers". It is necessary to understand the problem-solving method thoroughly, and if you encounter similar problems in the future, it is the real "wrong problem correction" to make no mistakes. Usually, practice should be regarded as an exam, and the exam should be regarded as homework. At the same time, I also hope that children will be thicker-skinned and more active. If you don't know or don't know, you must consult your teacher or classmates in time, and don't pile up problems. Nine times out of ten, those students with low exam scores don't understand but don't ask. It will be difficult to make up for too many accumulated problems in the end. There is no shortcut to learning math well, but doing more and practicing more is king.
Here is another question about calculation. Many children don't like calculation, are afraid of complicated calculation problems, and even use calculators to avoid calculation in ordinary exercises. This phenomenon is very dangerous! Because calculation is an essential ability to learn mathematics well, good calculation ability can not only ensure the correct rate of doing problems, but also improve the speed of solving problems. The key to improving this ability still depends on practice, so everyone must pay attention to it and practice consciously in daily practice.
Second, learning methods of mathematical concepts, formulas and theorems
1, the concept of learning method
There are many concepts in mathematics. How to make students master the concept correctly should explain what kind of process is needed and to what extent. Mathematical concept is a form of thinking that reflects the essential attributes of mathematical objects. Its definition is descriptive, indicating the extension of alien species, and there is a way to add concepts to categories. A mathematical concept needs to remember the name, describe the essential attributes, realize the scope involved, and use the concept to make accurate judgments. These questions are not required by teachers. Without learning methods, it is difficult for students to study regularly.
Let's summarize the learning methods of mathematical concepts:
(1). Read the concept and remember the name or symbol.
(2) Recite the definition and master the characteristics.
(3) Give two positive and negative examples to understand the scope of conceptual reflection.
(4) Practice and judge accurately.
2. Learning method of formula
The formula is abstract, and the letters in the formula represent infinite numbers in a certain range. Some students can master the formula in a short time, and some students have to experience it repeatedly to jump out of the ever-changing digital relationship. Teachers should clearly tell students the steps needed in the process of learning formulas, so that students can master formulas quickly and smoothly.
The learning method of the mathematical formula we introduced is:
(1). Write the formula and remember the relationship between the letters in the formula.
(2) Understand the ins and outs of the formula and master the derivation process.
(3) Check the formula with numbers and experience the laws reflected by the formula in the process of concretization.
(4) Transform the formula to understand its different forms.
(5) Imagine the letters in the formula as an abstract framework, so that the formula can be used freely.
3. Learning methods of theorems
A definite reason consists of two parts: conditions and conclusions. This theorem must be proved. Proving process is a bridge connecting conditions and conclusions, and learning theorem is to better apply it to solve various problems.
Let's summarize the learning methods of mathematical theorems:
(1). Recite the theorem.
(2) The conditions and conclusions of the distinguishing theorem.
(3) The proof process of understanding theorem.
(4) Applying theorems to prove related problems.
(5) Understand the internal relations between theorems and related theorems and concepts.
Some theorems contain formulas, such as Vieta Theorem, Pythagorean Theorem and Sine Theorem, and their learning should be combined with the learning method of the formula with the same sign.