What are the skills in learning mathematics? It is very necessary to preview mathematics before class. The idea of set is to use the concept of set and logical language, so it really takes a lot of thought to learn mathematics well. Here are some skills to learn math.
What are the skills in learning mathematics? 1 Mathematics is not simple. It really takes a lot of thought to learn math well, but it will be very interesting and won't bother everyone at all. There are many complicated knowledge points in mathematics. Only one step at a time can we learn mathematics well. In addition, learning math well is not a one-off event. Everyone should have lasting endurance, and it is best to have motivation and be prepared for a protracted war.
Mathematics learning, first of all, I want to tell you that it is not taught, but realized and taught by myself. It's not a meeting, it's a meeting. Specifically, mathematics can't be learned only by what the teacher said in class, that is, it is easier to see flowers than to embroider. Only through your own personal practice can you know whether you can get rid of other people's ideas, and what you have made is not easy to forget.
When learning mathematics, the simplest and most effective way is to do more problems. By doing problems, we can consolidate what we have learned and remember the formulas more firmly. At the same time, there is a process: preview before class. Don't underestimate this process, because preview is also a self-study process, which can best exercise students' thinking ability and independent problem-solving ability. This step can greatly improve and improve their math scores.
Can math study be accelerated?
Although mathematics is a subject from primary school to university, there are still faults in some knowledge points. For example, geometry is only learned in junior high school, so it doesn't matter if primary school is not good, and some knowledge points are newly learned in senior high school and don't cross with junior high school before, so bad in the past will not affect learning new knowledge now.
Regarding the problem of math crash, although there are many problem-solving skills when doing problems, for example, multiple-choice questions can pick out the answers in a short time, they are all aimed at fixed problems, and the laws summarized by some big problems are relatively rigid. If you don't understand their connotation, you will easily make mistakes. So it is difficult to speed up mathematics. If you want to learn math well, you must first understand the formula and summarize the template on the basis of understanding, so as to improve your math scores quickly.
Math problem-solving skills and quick grading method in college entrance examination
adjust one's mindset
Get rid of distractions before the exam, let yourself enter the exam state as soon as possible, recall the knowledge points of mathematics in your mind, give targeted self-suggestion, reduce stress, stabilize your mood, and deal with the exam with a peaceful mind.
Ensure accurate calculation
There are a lot of math problems in the college entrance examination, and the time is tight, so we won't be given time to check them one by one. Therefore, it is very important to calculate accurately, preferably once. We should know that the speed of solving problems is based on accuracy, and the quality of solving problems also affects our next step. It is best to be slow and steady on a fast basis. Don't blindly pursue speed and ignore accuracy.
Facing difficult problems, pay attention to methods.
When faced with a problem we don't know, we can try to divide it into sub-problems and solve some of them first. We don't know which step will inspire you. If we delay too much time on a certain issue, we can find another way, skip this step and start from other steps.
Mathematics examination questions and problem-solving skills in college entrance examination
Multiple choice
Multiple-choice questions are common in math exams. In order to improve the accuracy of multiple-choice questions, we should pay attention to summing up the information in the stem of the questions, eliminate the interference options and find the correct answer.
fill-in-the-blank question
Fill-in-the-blank questions in college entrance examination mathematics are generally after multiple-choice questions, the difficulty is much lower than other questions, and the score is not very high. Fill-in-the-blank questions in the math exam mainly examine our most basic abilities. Generally, the calculation of fill-in-the-blank questions is not very large. As long as you master all the knowledge points skillfully, you can solve it smoothly.
Physical skills
Correct examination of questions is the key to solving problems. The process of examining questions includes defining conditions, analyzing conditions and determining the thinking of solving problems. Conditional analysis is to find out the known conditions in the math exam. Analyzing conditions is to find out the implicit conditions according to the known conditions and deduce them from the mastered information, so as to achieve the purpose of solving problems. Determining the idea is to analyze the relationship between the known conditions and the final solution, what theorems are needed, what steps are used, and finally complete the solution.
What are the skills in learning mathematics? 2 1, the corresponding way of thinking
Correspondence is a way of thinking about the relationship between two set factors, while primary school mathematics is generally an intuitive chart with one-to-one correspondence, which is used to conceive the idea of function. For example, there is a one-to-one correspondence between points (number axes) on a straight line and specific numbers.
2. Hypothetical thinking method
Hypothesis is a way of thinking that first makes some assumptions about the known conditions or problems in the topic, then calculates according to the known conditions in the topic, makes appropriate adjustments according to the contradiction in quantity, and finally finds the correct answer. Hypothetical thinking is a meaningful imaginative thinking, which can make the problem to be solved more vivid and concrete after mastering it, thus enriching the thinking of solving problems.
3. Comparative thinking method
Comparative thinking is one of the common thinking methods in mathematics, and it is also a means to promote the development of students' thinking. In the application of teaching scores, teachers are good at guiding students to compare the situation before and after the change of known quantity and unknown quantity, which can help students find solutions quickly.
4. Symbolic thinking method
Symbolic thinking is to use symbolic language (including letters, numbers, graphics and various specific symbols) to describe mathematical content. For example, in mathematics, all kinds of quantitative relations, quantitative changes and deduction and calculation between quantities all use lowercase letters to represent numbers, and use condensed forms of symbols to express a large amount of information. Such as laws, formulas, etc.
5. Analogical thinking method
Analogy means that based on the similarity between two types of mathematical objects, the known attributes of one type of mathematical object can be transferred to another type of mathematical object. Such as additive commutative law's sum-multiplication commutative law, rectangular area formula, parallelogram area formula, triangle area formula, etc. The idea of analogy not only makes mathematical knowledge easy to understand, but also makes the memory of formulas as natural and concise as logical conclusions.
Step 6 change your way of thinking
Changing ideas is a way of thinking from one form to another, and its own size is unchanged. Such as geometric equal product transformation, homotopy transformation for solving equations, formula deformation, etc. A-B = A × 1/ B is also commonly used in calculation.
7. Classified thinking method
The thinking method of classification is not unique to mathematics, but embodies the classification of mathematical objects and its classification standards. For example, the classification of natural numbers can be divided into odd and even numbers according to whether they can be divisible by 2; Divide prime numbers and composite numbers according to the number of divisors.
Another example is a triangle that can be divided by edges or angles. Different classification standards will have different classification results and produce new concepts. The correct and reasonable classification of mathematical objects depends on the correct and reasonable classification standards, and the classification of mathematical knowledge is helpful for students to sort out and construct their knowledge.