Mathematics in senior three is different from mathematics in senior one and senior two. With the progress of knowledge content, from simple new teaching to review class, from unit knowledge examination to comprehensive knowledge examination. Through comprehensive and meticulous review and intensive training, we strive to achieve good results in the college entrance examination, give play to our own level, have a calm mind and have a high level of ability.
According to the summary of experience and the arrangement of time, mathematics learning in senior three can generally be divided into three stages, one is the basic review stage, the other is the exercise stage of the problem group, and the third is the free review stage. Each stage has its own emphasis, but it must be reviewed selectively under the guidance of teachers in combination with their own characteristics to form their own learning rules, in order to achieve the expected review effect.
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 "books" and the source and foundation of all knowledge. Over the years, college entrance examinations have 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, if students can read 10 minutes of textbooks every day, they can mobilize the contents in time to adapt to the problem control ability from one-way training of basic review to comprehensive training. In addition, for students with poor grades, on the one hand, they can consolidate textbook knowledge, on the other hand, 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 is often not that you don't want to learn, but that you can't do what you can, and what you can do is often not, which deviates from the focus of the first stage: as a teacher, you must take these students into account when choosing review materials. It is not easy for them to have too many difficult materials, so every student should have the feeling of "knowing" and have the ability to turn over the contents of textbooks. As students themselves, we should give full play to our initiative and enthusiasm, and never be led by the teacher.
2. Teachers teach at different levels, and students at different levels review in a targeted manner.
It is the common task of teachers and students to study and study exam instructions; Students in Grade Three should never be the same as students in Grade One and Grade Two. The knowledge points in each chapter are widely spread and developed in a balanced way. Students must be clear about the four levels of college entrance examination, namely, the differences and requirements of cognition, understanding, mastery and application. The knowledge structure of each chapter should be written or spoken at the beginning and end of the review, with special emphasis on the contents involved in the textbook and the supplementary contents after class. Students should actively cooperate with the teacher's ideas, combine their own learning foundation and characteristics, and conduct efficient and planned review. Therefore, teachers and students should study the college entrance examination questions in recent years, especially the college entrance examination questions in recent three years.
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 the college entrance examination, students need to master and expand their knowledge and ideological standpoint of function: finding analytic function, function value domain, function definition domain, function image and transformation, function and inequality, and the application of function thought; Grasping and training key knowledge is also a direction of college entrance examination in recent years. For assembly, due to the low requirements of the college entrance examination, it is necessary to appropriately reduce the class hours and deal with mathematical knowledge points in a targeted manner. Reducing blindness can help students review condescendingly and improve the review effect of senior three.
3. Infiltrate mathematical thinking methods.
With the requirement of college entrance examination for ability, in addition to emphasizing the examination of basic mathematics knowledge and designing test questions at the intersection of knowledge, we also examine the mathematical ideas and methods contained in middle school mathematics knowledge, paying attention to general methods and diluting 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 role of mathematical ideas and methods before applying them to solving problems. For example, in the chapter of solving inequalities, we first emphasize the idea of reduction, that is, all inequalities are transformed into one-dimensional linear or one-dimensional quadratic inequalities, and then emphasize the equivalent transformation, that is, the so-called equivalent group, including function definition domain, operational equivalence and so on. , so that the research of fractional inequality, higher order inequality, exponential inequality, logarithmic inequality and trigonometric inequality is unified under the premise of mathematical thought, which is convenient for a good grasp. In addition, lectures can be held to concentrate on learning mathematical thinking methods, strengthen perceptual knowledge and improve mathematical interest.
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, homework is assigned, so teachers and students can communicate and find good solutions to improve teaching and learning.
Second, problem group training, and strive 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. In recent years, many multiple-choice questions in the college entrance examination have used skills, and some can even get answers without writing.
To grasp the whole, to grasp the topic of opportunity, to divide opportunities, and to solve the first and second questions in the college entrance examination 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 learning needs more hands and brains. I suggest you prepare a notebook for yourself, write down the mistakes in each test paper or the topics that are easy to make mistakes during practice, accumulate them and look at them often. Turning over before the exam is undoubtedly of great benefit. The conclusion of the textbook and the conclusion of the workbook are helpful to improve the mathematics consciousness. Although the college entrance examination is not a competition, I still suggest that you consciously do some difficult training questions in the review process, so as to improve the test height of solving problems in the college entrance examination, and you will feel that other mountains are dwarfed under the sky. When you reach a certain level.
After all, the college entrance examination is not the expression of many skills in mathematics, but emphasizes basic knowledge and skills, and skillfully uses them on this basis. As long as we grasp the "two outlines and one book", outline, exam instructions and teaching materials, accumulate mathematical thinking methods around the network system of basic knowledge, and carry out appropriate training according to the characteristics of college entrance examination questions, we will certainly improve our mathematical ability.