Mathematics in senior three is different from mathematics in senior one and senior two. With the progress of knowledge content, I have changed from a simple new lesson to a review lesson, from a unit knowledge test to a comprehensive knowledge test, and then strive to achieve good results in the college entrance examination with a calm mind and high-level ability, and give play to my own level. With the passage of time, senior three mathematics learning is divided into three stages, one is the basic review stage, the other is the exercise stage of exercise group, and the third is the free review stage.
The emphasis of each stage is different, but we must combine our own characteristics and review selectively under the guidance of teachers to form our own learning rules.
First, the basic review should be "detailed"; Strive to clarify the key points and highlight the key points.
1. Emphasize the importance of textbooks. Textbooks are the source and foundation of all knowledge, and the college entrance examination over the years has emphasized textbooks as the basis; The conclusions, theorems and properties in textbooks are very important links in learning mathematics; In recent years, college entrance examination questions are often judged by textbook definition and theorem transformation mode; Solve and prove with examples and exercise transformation conditions in textbooks. In addition, reading the textbook 10 minutes every day can mobilize the content in time and adapt to the problem control ability from one-way training of basic review to comprehensive training. For students with poor grades, they can improve their self-confidence and constantly encourage themselves to overcome difficulties, which has certain effects. Objectively speaking, the review materials of senior three in recent years are not arranged according to the lecture order of senior one and senior two, and are limited to articles, and often transition too quickly and comprehensively. On the steps, the idea that some students want to study hard in senior three because they neglected their studies in senior one and senior two cannot be realized. It's often not that I don't want to learn, but that I won't do what I can, and I often can't do what I can. This deviates from the focus on the basic content in the first stage. When choosing review materials, it is not easy, too much and too difficult. I want to have the feeling of "knowing" and the ability to turn over the contents of textbooks.
2, hierarchical, content should be targeted.
It is the common task of teachers and students to study and study exam instructions; In the third year of high school, we should never be the same as the first and second years of high school. The knowledge points in each chapter are widely spread and developed in a balanced way. We must recognize the differences and requirements of the four levels of college entrance examination, namely, cognition, understanding, mastery and application. For the knowledge structure of each chapter, we should write or tell the knowledge structure and knowledge system of each chapter at the beginning and end of review, with special emphasis on the contents involved in textbooks and extracurricular supplements, as well as the college entrance examination. For example, in the chapter "Function", the contents of the textbook include set and function, unary quadratic inequality, mapping and function, power function, exponential function and logarithmic function. Because function is the highlight of college entrance examination, the position of function knowledge and function thought needs to be mastered and expanded: finding analytic function, function value domain, function definition domain, function image and transformation, function and inequality, application of function thought; Grasping and training key knowledge is also a direction of college entrance examination in recent years. For assembly, because the requirements of college entrance examination are low, it is necessary to appropriately reduce the intensity and deal with mathematical knowledge points in a targeted manner. Reduce blindness, review condescendingly in senior three, and improve the review effect.
3. Master mathematical ideas and methods.
At present, the college entrance examination emphasizes the examination of basic knowledge of mathematics, and designs test questions at the intersection of knowledge. It also examines the mathematical ideas and methods contained in middle school mathematics knowledge, paying attention to general methods and downplaying special skills; As a higher level abstraction and generalization of mathematical knowledge, it needs to be infiltrated and summarized in the process of the occurrence, development and application of knowledge in chapters. Understand the function of mathematical thinking method first. Try to use it to solve problems. For example, in the chapter of solving inequalities, we first emphasize the idea of reduction, that is, transforming all inequalities into one-dimensional linear or one-dimensional quadratic inequalities, and then emphasize the equivalent transformation, that is, the so-called equivalent group, including the domain of function and the equivalence of operation. Therefore, it is convenient to unify fractional inequality, higher order inequality, irrational inequality, exponential inequality, logarithmic inequality and triangular inequality under the premise of mathematical thinking.
4, the right amount of homework, solid foundation, strengthen the specification.
In the third year of high school, we should pay attention to homework. Proper homework can consolidate the foundation, strengthen norms and improve grades. Senior three students should seriously study the college entrance examination papers, pay attention to the scoring standards of the college entrance examination papers, pay attention to the problem-solving format of intermediate questions, the handling of scoring points and the accuracy of calculation; Problems attach importance to the scores of familiar knowledge points; In addition, when assigning homework, teachers and students can communicate and find good solutions to improve teaching.
Second, the problem group training strives to study the test paper as a whole.
The second stage of problem group training is only to turn knowledge into ability and achievement. Grasping the overall difficulty of the test paper requires focusing on training multiple-choice questions and fill-in-the-blank questions, focusing on describing and summarizing the methods to solve multiple-choice questions and fill-in-the-blank questions, such as special case method, verification method, graphic method, conclusion method, etc., and encouraging students to actively think and dare to screen, instead of blindly emphasizing direct method. There are seven or eight topics to use skills.
To grasp the whole, to grasp the opportunity topic, to divide opportunities, and to solve the first and second questions in the college entrance examination questions are often opportunities. We must do it completely correctly and don't miscalculate easily. The big question behind is mainly to earn points, how much can you get; To learn how to control the whole volume, according to your own situation, you can also get rid of one or two big questions first and go into battle lightly to avoid blind tension.
Third, review and reflect on mistakes freely and systematize knowledge.
The third stage is free review, self-adjusting, self-inducing, and analyzing the reasons for mistakes. Is it a knowledge system? Or mathematical thought? Is it a multiple choice skill? Or is it a calculation error? Review the textbooks systematically, check the exercises you have done, and take the college entrance examination papers in recent years as a detailed book according to the requirements of the specified knowledge points in the exam, so as to rebuild self-confidence and adjust emotions. Math study needs more hands and brains, and always prepare a notebook for yourself, and write down the mistakes of each test paper in this notebook. It is undoubtedly of great benefit to have a look before the exam. The conclusion of the textbook and the conclusion of the exercise book will help to improve the mathematics consciousness, but the college entrance examination is not a competition after all, and it is not the embodiment of many mathematics skills, but emphasizes basic knowledge and basic skills. As long as you grasp the "two programs and one book", outline, exam instructions and teaching materials, you will focus on it.