When it comes to "writing" and "calculating", there are many loopholes and mistakes; Some students are too lazy to do the problem and think it is too difficult, too boring and too heavy.
; Some students did a lot of exercises and read a lot of counseling books, but their grades just couldn't get up. Some students failed to review and lost it after studying for a while.
A paragraph.
There are two reasons: first, the problem of learning attitude: some students are ambiguous in their studies, unable to tell whether they are enterprising or retreating, but insisting.
Whether they give up, keep up or improve, their determination to study hard is often shaken, their energy for learning is limited, and so is their thinking.
It is passive, shallow and extensive, and its academic performance is always stagnant. On the contrary, some students have clear learning goals and strong learning motivation.
They have indomitable will, the spirit of hard study and the consciousness of independent study, and they always try their best to solve the problems they encounter in their studies.
When encountering difficulties, take the initiative to consult classmates and teachers, and have good self-awareness and the ability to create learning conditions. The second is the problem of learning methods:
Some students don't think about learning methods at all, just passively follow the teacher, take notes in class, do homework after class, cope mechanically, and get average grades.
; Some students try this method today and that method tomorrow. They are "in a hurry to see a doctor" and have never seriously understood the essence of learning methods, let alone.
Will integrate a variety of learning methods into their daily learning links and develop good study habits; More students have one-sided views on learning methods.
Even a wrong understanding, for example, what is "will"? Is it "understandable" or "able to write" or "able to speak" this
This kind of evaluative experience is very different for different students, which affects their learning behavior and its effect.
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Thus, the correct learning attitude and scientific learning methods are the two cornerstones of learning mathematics well. The formation of these two cornerstones can not be separated from peacetime.
In the practice of mathematics learning, we talk about how to learn mathematics well from several specific problems in the practice of mathematics learning.
First, mathematical operations.
Operation is the basic skill to learn mathematics well. Junior high school is the golden age to cultivate mathematical operation ability, and the main content of junior high school algebra is related to operation.
Close, such as rational number operation, algebraic operation, factorization, fractional operation, radical operation, solving equations, etc. The calculation ability of junior high school is also
Passing will directly affect the learning of high school mathematics: from the current mathematical evaluation, accurate operation is still a very important aspect, and repeated operation.
Mistakes will hurt students' confidence in learning mathematics. In terms of personality quality, students with poor computing ability are often careless, unsophisticated and noble-minded.
Low hands hinder the further development of mathematical thinking. Judging from the self-analysis of students' test papers, there are not a few questions that can be done wrong, and
Most errors are operational errors, and they are extremely simple small operations, such as 7 1- 19=68, (3+3)2=8 1 and so on. Although the error is small,
But we must not take it lightly, and we must not let a "sloppy" cover up the real reason behind it. Tools to help students carefully analyze mistakes in operation
Physical reasons are one of the effective means to improve students' computing ability. In the face of complex operations, we often pay attention to the following two points:
① Emotional stability, clear arithmetic, reasonable process, even speed and accurate results;
Have confidence and try to do it right once; Slow down and think carefully before writing; Less mental arithmetic, less skipping rope, and clear draft paper.
Second, the basic knowledge of mathematics
Understanding and memorizing the basic knowledge of mathematics is the premise of learning mathematics well.
★ What is understanding?
According to constructivism, understanding is to explain the meaning of things in your own words, and the same mathematical concept is in different students' minds.
There are different forms of existence. Therefore, understanding is a creative process in which individuals actively reprocess external or internal information.
labor. "
The standards of understanding are "accuracy", "simplicity" and "comprehensiveness". "Accuracy" means grasping the essence of things; "Simple" means simple.
Speak concisely; "All-round" means "seeing both trees and forests", with no emphasis or omission. The understanding of the basic knowledge of mathematics can be divided into two parts.
Three levels: first, the formation process and expression of knowledge; The second is the extension of knowledge and its implied mathematical thinking method and mathematical thinking method.
★ What is memory?
Generally speaking, memory is an individual's memory, maintenance and reproduction of his experience, and it is the input, coding, storage and extraction of information. With keywords
It is an effective memory method to try to recall with hints. For example, when you see the word "parabola", you will think: throw it.
What is the definition of object line? What is the standard equation? How many properties does a parabola have? What are the typical mathematical problems about parabola?
You might as well write down your thoughts first, and then consult and compare them, so that you will be more impressed. In addition, in mathematics learning, we should put memory
For example, in the chapter of trigonometric function, all formulas are based on the definition and addition theorem of trigonometric function.
If we can master the method of deducing formulas while remembering, we can effectively prevent forgetting.
In a word, sorting out the basic knowledge of mathematics in stages and memorizing it on the basis of understanding will greatly promote the learning of mathematics.
Third, solve mathematical problems.
There is no shortcut to learning mathematics, and ensuring the quantity and quality of doing problems is the only way to learn mathematics well.
1, how to ensure the quantity?
(1) Select a tutorial or workbook that is synchronized with the textbook.
(2) After completing all the exercises in a section, correct the answers. Never answer one by one, because it will interrupt your thinking.
And dependence on answers; Easy first, then difficult. If you don't know the topics, you must skip them first, and then browse all the topics at a steady speed.
Solve the last problem that can be done; Don't be impatient and discouraged when there are too many questions you can't answer. In fact, the questions you think are difficult, and so are others.
It just takes some time and patience; There are two ways to deal with examples: "do it first, then look at it" and "look at it first, then take the exam".
(3) Choose questions with thinking value, communicate with classmates and teachers, and record your own experience in the self-study book.
(4) guarantee the practice time of about 1 hour every day.
2. How to ensure the quality?
(1) There are not many topics, but they are good. Learn to dissect sparrows. Fully understand the meaning of the question, pay attention to the translation of the whole question, and deepen the understanding of one of the questions.
Understanding of conditions; See what basic mathematical knowledge it is related to, and whether there are some new functions or uses? Reproduce the process of thinking activities,
By analyzing the origin of thoughts and mistakes, it is required to truthfully describe one's experiences and feelings in spoken English, and write whatever comes to mind.
What, in order to dig out general mathematical thinking methods and mathematical thinking methods; One question has multiple solutions, one question is changeable and pluralistic.
② Execution: Not only the thinking process but also the solving process should be executed.
(3) Review: "Review the past and learn the new", redo some more "classic" questions several times, and regard the wrong questions as the "mirror" of yourself.
Reflection is also an efficient and targeted learning method.
Fourth, mathematical thinking.
The integration of mathematical thinking and philosophical thinking is a high-level requirement for learning mathematics well. For example, mathematical thinking methods do not exist alone, but have their own.
Opposites, and they can transform and complement each other in the process of solving problems, such as intuition and logic, divergence and orientation, macro and
Micro, forward and backward, etc. If one method is blocked, we can consciously turn to the opposite method, or
Perhaps there will be a feeling that "there is no road to doubt, and there is another village." For example, in some series problems, find the general term formula and the first n terms.
Besides deductive reasoning, inductive reasoning can also be used for formulas. It should be said that understanding the philosophical thinking in mathematical thinking and the philosophical thinking in existence.
Mathematical thinking under the guidance of mathematical thinking is an important method to improve students' mathematical literacy and cultivate students' mathematical ability.
In short, as long as we attach importance to the cultivation of computing ability, master the basic knowledge of mathematics in a down-to-earth manner, and learn to do problems intelligently, we can
Standing on the height of philosophy to reflect on our own mathematical thinking activities, we will certainly enter the free kingdom of mathematics learning as soon as possible.
In addition, it is a psychological problem. Many people usually get good grades, but when it comes to exams, their grades are always unsatisfactory. The reason is that,
It is because the psychological quality is not too hard and I am too nervous during the exam. I think you may take scores too seriously, which will lead to failure in the exam.
Li, you should learn to think in a different way, and you should learn to adjust your mentality. People often say that three points in the exam is the result, and seven points.
Points are psychological, and too much pursuit often leads to loss, which is why; Don't take scores too seriously, that is, take exams as general homework.
Clear your mind and take every question seriously, and you will certainly get good grades in the exam; You should learn to surpass yourself.
Just don't always think about grades and rankings. As long as my score in this exam is higher than the one I started last time, then I am.
Transcend oneself; In other words, if you don't compare your grades with others, compare with yourself, so that your mentality will be much more peaceful and you won't feel anything.
There's too much pressure.