To learn how to construct knowledge context, mathematical concept is the starting point of constructing knowledge network, and it is also the focus of mathematics in senior high school entrance examination. Therefore, we should master the concepts, classifications, definitions, properties and judgments of numbers, formulas, inequalities, equations, functions, trigonometric ratios, parallel lines, triangles, quadrangles and circles in statistics and geometry, and apply these concepts to solve some problems.
Second, lay a solid foundation in mathematics.
In the review process, we should lay a solid foundation of mathematics, pay attention to the deepening of knowledge, the internal relations and connections between knowledge, incorporate new knowledge into the existing knowledge system in time, and gradually form and expand the knowledge structure system, so as to retrieve relevant information from the memory system from the information provided by the topic, select the best combination information, find the solution method and optimize the solution process.
Third, establish case files.
Prepare a "case card" for math study, write down the mistakes you usually make, find out the "reasons" and prescribe a "prescription". Take it out often and think about where the mistakes are, why they are wrong and how to correct them, so that when you enter the senior high school entrance examination, there will be no "cases" in your math. It is necessary to do a certain number of math exercises under the guidance of teachers, accumulate experience in solving problems, sum up ideas for solving problems, form ideas for solving problems, stimulate inspiration for solving problems, and master learning methods.
Fourth, common formula skills
To accurately understand the ins and outs of commonly used mathematical formulas, it is necessary to further understand their reasoning process and explore some possible changes in the process of derivation. Necessary training should also be given to the knowledge and skills necessary for further study and common sense often used in daily life. For example, the square of 1-20; Simple Pythagorean number; The area formula of regular triangle and the relationship between height and side length; The relationship between the three sides of a 30-degree and 45-degree right triangle ... This will definitely help you master the formula better than doing a lot of exercises, and it will often have unexpected effects.
Fifth, strengthen problem group training.
In addition to doing basic training questions and plane geometry once a day, you can also do some comprehensive questions to develop the habit of reflection after solving problems. Reflect on your own thinking process, knowledge points and problem-solving skills, the advantages and disadvantages of various solutions, and the vertical and horizontal relations of various methods. And summed up the mathematical thinking methods it used, grouped the topics with similar thinking methods into a group, and constantly refined and deepened them, so as to draw inferences from others. Gradually learn to observe, experiment, analyze, guess, induce, analogy, association and other ways of thinking, and actively find and ask questions.
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