Senior tells you how to learn high school mathematics, and explains how to learn high school mathematics well through four steps.
First, cultivate a good interest in learning. The best way to learn mathematics is to cultivate mathematics into your own hobby. If you like high school mathematics, you will be interested in practicing the learning methods of high school mathematics, and only when you are interested will you form the initiative and enthusiasm for learning.
There are several suggestions to cultivate a good study habit and develop it into an interest in learning:
Preview before class, question all knowledge and be curious.
In class, we should cooperate with the teacher to satisfy the excitement of the senses, and focus on solving problems in preview. We should regard the teacher's classroom questioning, pause, demonstration of teaching AIDS and models as enjoying music, answer the teacher's classroom questions in time, cultivate the synchronization of thinking and teachers, improve the spirit, and turn the teacher's evaluation of your questions into a driving force to spur learning.
Think about problems, pay attention to induction, and tap learning potential.
Pay attention to the teacher's mathematical thinking when explaining in class, and ask why you think so. How did this method come about?
Let the concept return to nature. All disciplines are summarized from practical problems, and mathematical concepts also return to real life, such as the concept of angle, the generation of rectangular coordinate system and the generation of polar coordinates are all abstracted from real life. Only by returning to reality can we understand the concept reliably and be accurate when applying concept judgment and reasoning.
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Second, clarify the concept, nature and basic methods.
Understanding the concept, nature and basic methods of each subject is the first and most important step. If the concept is not clear, it is impossible to solve the problem without hitting a wall. It is easier to understand the concept correctly before doing the problem, and in turn, we can further understand the concept and nature through the calculation of the problem.
To understand the concept, nature and basic methods, we must first review what the teacher said in class and read the relevant contents in the textbook. After class, we must try our best to understand the problems that we can't understand in class and think about whether what we already understand can be operated. If there are still problems, you'd better do it again to make the road familiar.
It will be more efficient to be prepared for your homework. Many times, solving problems is to test your mastery of concepts, properties and basic methods. Be fully prepared for the difficulties in learning, don't covet the speed in front of you and learn too rough. In the long run, it will slow down in the future and even in this life. So we must pay attention to strengthening basic skills. Never give up thinking about simple problems before systematic thinking is established.
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Third, improve self-study ability and realize "four improvements"
Think ahead: after the teacher puts forward the topic, before explaining it, try to walk in front of the teacher and come up with ideas and answers.
Do it in advance: after the teacher finishes writing the example, before the teacher explains it, he should try his best to find ideas and even results.
Summary in advance: after the teacher finishes solving the problem, before the teacher explains it, try to reflect, summarize and summarize the problem-solving process.
Beyond the premise problem: after the teacher makes a summary, before the teacher explains, he should try his best to find the problem, ask the question and study the problem.
"Four Ahead" was first put forward for the theoretical course of mathematics. It also applies to mathematical examples. The basic idea is to make your thinking in a very positive state in class, actively search, analyze, synthesize and transform information in many directions, and get new guesses, new ideas, new insights and new creations from this process. The proposal and implementation of the "four firsts" have injected vitality into the mathematics classroom, which has completely ended and told the students a beautiful situation. It strengthens the consciousness of independent thinking and problem solving. Practice has proved that this kind of consciousness plays a very important role in realizing the great development of students' mathematical ability and cultivating their innovative spirit. And if the "four advances" are achieved, it is possible for teachers to explain and students to discuss. Find out the gap by comparison, and the study will be more targeted.
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Fourth, math review.
"Learning from time to time is a pleasure." This is the experience left by Confucius.
1. Weekends are often relaxed and free. But all play and no study often leads to a decline in self-control. So I think we should allocate 1 hour for math review every weekend. Review should pay attention to the following points:
(1) Grasp the key points, do not review blindly, and be targeted.
(2) Go through the record book.
Think about the wrong questions repeatedly in the review, and suggest using the wrong question set.
2. When reviewing math, it's probably because the questions you asked are not impressive, so some questions won't be learned. At this time, you should study independently and hold the determination of "don't write or play"!
In any case, high school mathematics is an absolutely flexible subject, and the methods can only be used for reference, but students in new high schools are not recognized.
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Remember to think when you study high school mathematics. Mathematics is a very logical subject. It is easy to learn high school mathematics well by cultivating one's interest in mathematics and the habit of actively solving problems.