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Cultivation of Mathematics Ability in Grade Three
1, the first round of review, based on textbooks, comprehensively review the basic knowledge and strengthen the training of basic knowledge and skills (about one month, from mid-March to mid-April).

The purpose of review at this stage is to enable students to fully grasp the basic knowledge of junior high school mathematics, improve their basic skills, and strive to be comprehensive, solid and systematic, so that students can form a knowledge network system. In the first round of review, we must take the textbook as the center and carry out systematic unit review according to the structural system of the textbook. It is not appropriate to do too comprehensive questions, but should focus on basic questions and intermediate questions, and test and comment on units. Comments should be targeted. Two sets of questions should be prepared for each chapter. The first set is based on basic knowledge, and the second set is based on the first set, aiming at the knowledge that students have not yet mastered and the content that must be tested in the senior high school entrance examination.

The purpose of the first round of review is to "pass three levels": (1) pass the memory level. We must remember all the formulas, theorems, etc. Without accurate memory, it is impossible to have a good result. (2) Through basic methods. For example, use the undetermined coefficient method to find the quadratic resolution function. (3) basic skills. For example, if you are given a problem and you find a solution to it, that is, you know how to use it, then you have the skills to understand it. Basic purposes: systematization of knowledge, specialization of practice and regularity of specialization. In this stage of teaching, the contents of the book are grouped into a structure, and the algebraic part can be divided into six units: real number, algebra, equation, inequality, function, statistics and probability. Geometry is divided into six units: intersecting lines and parallel lines, triangles, quadrilaterals, similar triangles, right triangles, circles, etc. After reviewing each unit, conduct unit tests and pay attention to filling in the gaps.

Several problems that should be paid attention to in this round of review;

(1) Be sure to lay a solid foundation. In this year's senior high school entrance examination, the ratio of difficult: medium: easy = 1:2:7, and the basic score accounts for 70% of the total score (100) (from the analysis of guidance series), so that every student can meet the requirements of "understanding" and "mastering" junior high school mathematics knowledge, and can apply the basic knowledge skillfully, correctly and quickly.

(2) Some basic questions in the senior high school entrance examination are original or revised questions in the textbook, so we must dig deep into the textbook and never leave it behind.

(3) don't engage in sea tactics, concentrate on refinement, and draw inferences from others. "A lot of practice" is relative, neither blindly big nor blindly practicing. This is a targeted, typical, hierarchical and to the point intensive exercise.

(4) pay attention to the climate. The first round of review is in winter and spring. As we all know, winter and spring are the golden seasons for learning. After May, hot weather will affect study to some extent.

(5) Check students' homework regularly and give timely feedback. Teachers can feedback, correct and strengthen the problems in homework, exercises and tests by combining centralized teaching with individual counseling, or infiltrating problems into the later teaching process, which is conducive to improving the teaching quality in a large area.

(6) Starting from reality, facing all students, teaching students in accordance with their aptitude, that is, carrying out teaching work at different levels, and comprehensively improving review efficiency. Classroom review teaching adopts the method of "low starting point, multi-induction and fast feedback".

(7) Pay attention to ideological education, constantly inspire their self-confidence in learning mathematics, and create conditions for students with learning difficulties to experience success.

(8) Pay attention to the cultivation of top students. They are required to take shortcuts, be creative, pay attention to logical relations, and strive to solve problems completely and perfectly in order to improve the excellent rate of senior high school entrance examination. For students with good acceptance ability, we should develop interest groups after class, cultivate problem-solving ability and improve flexibility, so as to take the lead.

2, the second round of review, with special training as the way to strengthen students' comprehensive application of knowledge, analysis and problem-solving ability. The time is about one month, from mid-April to mid-May.

If the first stage is the basis of the general review, it is the key point, focusing on double-base training, then the second stage is the extension and improvement of the first stage review. On the basis of the first round, summarize the methods, check and fill the gaps, and focus on cultivating students' mathematical ability and mathematical thinking methods. At present, the proposition of mathematics in senior high school entrance examination is mainly to examine students' ability to analyze and solve problems by comprehensively applying what they have learned. Therefore, this round of review focuses on the systematization, organization, structure and networking of knowledge, which means connecting scattered knowledge points into lines and networks to improve the application level.

The form of the second round of evaluation

If the first stage is the basis of general review, and it is the key point, focusing on double-base training, then the second stage is the extension and improvement of the first stage review, and it should focus on cultivating students' mathematical ability. The second round of review time is relatively concentrated. On the basis of the first round of review, we should improve our level and increase the difficulty appropriately. The second round of review focuses on hot spots, difficulties and key contents, especially the key points; Paying attention to the formation of mathematical thoughts and the mastery of mathematical methods requires giving full play to the leading role of teachers. We can review special topics, such as Equation-based Synthesis Problem, Application Function Problem, Inequality Application Problem, Statistical Application Problem, Geometry Synthesis Problem, Exploratory Application Problem, Open Question, Reading Comprehension Problem, Scheme Design, and Hands-on Operation, so that students can be familiar with and adapt to this kind of questions.

Several problems that should be paid attention to in this round of review

(1) The second round of review is no longer based on sections, chapters and units, but on topics.

(2) The division of special topics should be reasonable.

(3) The topic selection should be accurate and the arrangement time should be reasonable. The accuracy of topic selection mainly depends on the study of curriculum standards and test questions for senior high school entrance examination. The topic should be representative, not comprehensive; The topic should be targeted, focusing on hot spots, difficulties and key points, especially the content of the senior high school entrance examination; Arrange time according to the characteristics of the topic, work hard at important points, and be willing to invest energy at the expense of "wasting" time.

(4) Pay attention to the reflection after solving the problem.

(5) replace knowledge with questions. Because of the particularity of the second round of review, students are far away from the basic knowledge to a certain extent, which will lead to different degrees of knowledge forgetting. The best way to solve this problem is to replace knowledge with problems.

(6) Appropriate promotion of special review. It is difficult to review special topics, which is determined by the characteristics of the second round of review. Without certain difficulty, it is difficult to improve students' ability. Improving students' ability is the task of the second round of review. However, we should comprehensively consider various factors and grasp a degree.

(7) The focus of special review is to reveal the thinking process. Can't increase students' practice, let alone push students into the sea of questions; We can't rush to catch up with the progress, which is the main reason for "confusion" here.

(8) Pay attention to the enjoyment of resources.

3, the third round of review, pre-war training, mock senior high school entrance examination. (The time is from mid-May to early June).

After reviewing the basic knowledge and key contents, we should do some simulation questions to check the effect. Teachers should carefully analyze the test papers, find out the problems existing in students and solve them, and strengthen the practice in this respect. At this stage, efforts should be made to carry out adaptive training for the senior high school entrance examination. It is mainly to strengthen students' mastery of knowledge, accumulate experience in training the speed, rhythm and psychology of answering questions, train students' examination ability and enhance their marking ability.

In this review process, teachers should purposefully guide students at different levels in examination strategies. For students with a solid foundation in mathematics and strong learning ability, they are required to strengthen their synthesis and try their best to finish all the questions on the test paper on the premise of ensuring the foundation. For middle-level students, it is the first step to focus on 100 before completing the test paper. Specifically, it is the first step to complete 1-24 and the last two big questions. For students with weak foundation, it is required to always focus on textbooks, pay attention to the most basic knowledge points and test sites, and consider the first 84 points of the test paper, that is, try to complete the first 1-22 questions. Adhere to the principle of encouragement, encourage students to make progress bit by bit, adhere to the face-to-face signing of homework, and strive to give individual counseling to students with great improvement potential, so that different students can improve on the original basis.

Form of the third round of evaluation

The form of the third round of review is to simulate the comprehensive training of the senior high school entrance examination, check for leaks and fill vacancies, just like a construction project acceptance stage, pre-test training. Study the mid-term exam questions over the years, train the answering skills, the mentality of the examination room, and the ability to adapt to the situation. Spare exercises "the true questions of previous senior high school entrance examinations" and "the simulated test questions of senior high school entrance examinations".

Several problems that should be paid attention to in the third round of review

(1) The simulation questions must have the characteristics of simulation. The arrangement of time, the number of questions, the proportion of low, medium and high questions, and the control of overall difficulty should be close to the middle school entrance examination questions.

(2) The design of simulation questions should be gradient, based on the senior high school entrance examination, higher than the senior high school entrance examination.

(3) Review in time, strike while the iron is hot, and avoid two exams.

(4) The score should be tough. Don't grade if you can get it, and try not to grade questions with wrong answers. Let harsh grades educate students. If you can, don't lose points.

(5) Special comments. Only a few students make mistakes in some problems, and such problems can no longer occupy classroom time. The problems of individual students are explained in the form of comments on the test paper.

(6) Detailed statistics of marginal students' scores. This is the main basis of classroom evaluation content. Because the learning situation of marginal students is not only representative, but also the key to improve class performance. What we want to talk about in class is the problem that marginal students make many mistakes, and statistics is the key link.

(7) Summarize the missing points of students' knowledge. Accumulate materials for leak detection and vacancy filling.

(8) Handle the relationship between evaluation and assessment. Each question is generally two exams and two evaluations, which means that a question usually takes four classes.

(9) Choose appropriate topics, which should be fewer, more precise and more targeted. The basis of choice is marginal loss of points. Generally, one third of marginal students will make mistakes in class.

(10) Based on the word "head". Once the topic to be discussed is decided, there are four aspects of work that must be done well. First of all, it must be thoroughly discussed. The second is expansion; The third is to keep up with a sufficient number of follow-up exercises; Fourth, we should replace knowledge with problems. Don't comment on everything. No quick comments, no topic comments.

(1 1) Give students some time to correct their mistakes and digest them. Students should sort out what the teacher has said; Correct the problems that the teacher didn't say and solved by himself; The basic knowledge related to it should be memorized and consolidated. Teachers should make full use of this time to solve individual problems of individual students.

(12) appropriately "liberate" students, especially in terms of time arrangement. After a period of examination, examination and re-examination, almost all students will feel physically and mentally exhausted. If you bring this tired state into the examination room of the senior high school entrance examination, it will definitely be a poor result. However, it should be noted that liberation is not relaxation, and students must be ensured to have a moderately tense mental state. Practice has proved that moderate tension is the best state of normal or extraordinary play.

(13) Adjust students' biological clocks. Try to adjust the time of study and thinking to be consistent with the time of the answer sheet for the senior high school entrance examination.

(14) Adjustment of mentality and confidence. This is the responsibility of every teacher, and at this moment, the role of confidence becomes the greatest.

(4). The fourth round of review is mainly to check and fill the gaps (completed in the last week before the mid-term exam in June)

The review at this stage is mainly aimed at the knowledge that students are still vague or forgotten, so that students can return to textbooks, further consolidate and deepen, meet the senior high school entrance examination, and basically do not do difficult problems. Let students feel their own struggle and experience their own gains. At this stage, students' psychological counseling occupies a very important position. At the same time, the training of senior high school entrance examination should not be relaxed and continued, but different ideological education should be carried out when different students simulate different grades. Let every candidate feel that his previous efforts have not been in vain, and let every candidate have a well-thought-out plan and believe that he will always be the best.

Of course, when reviewing before the middle school entrance examination, we should also adhere to the principle of concrete analysis of specific problems. Review should be oriented to all students, and teaching should be carried out at different levels. "Give consideration to both ends and promote the middle", that is to say, we should pay attention to both top students and underachievers. The middle strength is the most potential part and should be deepened. In short, improving the effectiveness of review is the ultimate goal of general review teaching before the third grade exam. In short, in the general review of mathematics in grade three, it is fundamental to explore teaching materials and lay a solid foundation; * * * With participation, the focus process is the premise; Selecting exercises, improving quality and reducing burden are the core; Strengthening training and developing ability is the goal. Only in this way can we develop students' thinking space and really cultivate their comprehensive ability and level.

Pay special attention to wrong questions, let students set up "wrong notes", carefully summarize the types and methods of wrong questions, correct and carefully analyze wrong questions, find out the reasons and ways to prevent recurrence, and prescribe the right medicine. Over time, more questions will be done and fewer mistakes will be made, so mistakes can be minimized during the exam.