National Mathematics Review Program
National Mathematics Review Program
In March 2005, the general review of mathematics in the middle school was a key link to complete, deepen and deepen the content after completing the three-year mathematics teaching task. Paying attention to and conscientiously completing the teaching tasks at this stage will not only help the students to consolidate, digest, and summarize the basic knowledge of mathematics, improve their ability to analyze and solve problems, but also help the practical use of students. At the same time, it is the re-learning of the students who have poor learning foundation to find out the missing and to grasp the content of the teaching materials. Therefore, this plan has been specially formulated so that there are plans and steps to implement the general review of teaching .
First, closely follow the outline, elaborately edit the teaching plan. The mathematics content of the country is numerous and mixed. The basic knowledge and basic skills are scattered in the textbooks of three years. Students often learn new and forget the old ones. Therefore, it is necessary to elaborate the review plan according to the content of the outline and the systematic knowledge points. The preparation of the plan must be tailored to the student's reality. The basic knowledge-based method can be used to prepare a test question that infiltrates the main knowledge points according to the actual knowledge of the students in the usual teaching , so that the students can complete the test independently within the prescribed time. Then, according to the content that is difficult for students to understand, the rate of forgetting, and easy to mix and error, the focus of the plan is determined. After the review plan is formulated, it is necessary to do a good job of reviewing the example of the review class, and the review plan for the practice task. The review plan developed by the teacher should be given to the students, and the students should be required to formulate specific review plans according to their own learning and determine their own endeavor. aims.
When we organized the entire group of teachers to compile materials, we focused on the following three ideas:
1. Comprehensiveness Although we dare not say "a book is in hand, there is nothing to ask for", but we firmly believe that it is more or less helpful to you. Because we are surrounded by: 1 to carefully analyze the hot spots of the exam; 2 to carefully organize the knowledge points; 3 to the dynamic analysis of the 2005 senior high school entrance examination and other preparation concepts, at the same time, we are in the preparation of the arrangement: focus on the operation; based on the senior high school entrance examination Serving students and other ideas, according to the principles of designing the lesson plans and case studies in a class, so that our teachers can have a comprehensive value when using them.
2. Operability In the whole review, we set three stages 1 basic knowledge accumulation stage: the difficulty of the title is probably 70% of the basic questions in the middle school test questions; 2 the special knowledge finishing stage: the difficulty of the title is probably 20 in the middle school test questions %---30% of the application topics; 3 actual combat stages
3. In the preparation of this review book, in order to fully reflect the student's dominant position under the teacher's leadership, and truly let the students become the masters of learning, we designed four special columns when designing: “Self-diagnosis” Ming ""teacher-student dialogue" and "motorized field", so that our teachers can find non-intellectual factors and other curriculum resources when they use it.
4. All the exercises in the book of our new book are derived from the selection of 50% from the selection of excellent middle school exams in 2004, 2 select 20% from other relevant materials, 3 our school teachers Original self-edited exercises account for about 30%.
Second, chasing the source, the first stage of the system to master the basic review of the basic review, we must first emphasize the student system to master the basic knowledge and basic skills in the textbook, too good textbooks. Make clear requirements for students: 1 The basic concepts, rules, formulas, and theorems must not only be correctly described, but also flexible; 2 pairs of exercises must be passed through the subject; 3 review questions after each chapter are comprehensive, Most students are required to complete independently, and a few difficult students can complete it under the guidance of the teacher.
Third, systematically sorting out and improving the second stage of the review of students' review efficiency, it is necessary to embody the leading role of teachers. Systematic compilation of mathematics knowledge in the country, based on the interrelationship and mutual transformation of basic knowledge, combing and categorizing, sorting and reorganizing, and becoming a systematic knowledge point of the system. For example, the first three algebras can be divided into the definition of a function, a positive and negative proportional function, a one-time function; a quadratic quadratic equation, a quadratic function, and a quadratic inequality; The geometry is divided into 4 blocks and 13 lines: the first block is a line with the right angle triangle as the main body. The second similarity is divided into 3 lines: proportional line segments; the judgment and properties of similar triangles. The judgment and properties of similar polygons; the third circle consists of 7 lines: the nature of the circle; the line and the circle; the circle and the circle; the angle and the circle; the triangle and the circle; the quadrilateral and the circle; the polygon and the circle. The fourth block is a drawing problem. There are two lines: the inner and outer tangents of the circle and the circle; the trajectory of the point. This kind of summary summarizing the classes with little difference in degree and better quality can be done jointly by the teachers and students under the guidance of the teachers, that is, the students “draw the dragon” and the teachers “point the eye”. The middle and lower classes are classified by teachers, and the comparative exercises, block exercises and comprehensive exercises are carried out to enable students to truly grasp the content of mathematics textbooks in the country.
Fourth, concentrate on practice, strive to improve the speed of the test, sort out the block, and grasp the content of the textbook, then start the comprehensive review of the third stage. At this stage, in addition to paying attention to the key chapters in the textbooks, it is mainly based on repeated practice, giving full play to the main role of students. Usually, the comprehensive exercises of the chapters are based on comprehensive exercises and system knowledge, and the weight of the simulation questions is appropriately increased. For teachers, the main task at this time is to select exercises, carefully correct the exercises completed by the students, comment in a timely manner, check for missing vacancies, consolidate the effectiveness of review, and achieve self-improvement. There are two issues to be aware of in the selection of comprehensive exercises: First, the selected exercises should be purposeful, typical, and regular. Second, the exercises should be instructive, flexible, and comprehensive. For example, the proof and application of the angle bisector theorem, the circular angle, the central angle, the chord angle, the circular power theorem, the projective theorem, etc. are all comprehensive and important topics to be mastered. Grab it and catch it.
V. Checking for leaks and filling in the gaps to achieve the best results After the review of the three theories, we will prepare for the fourth round of review. At this stage, we mainly focus on two things: 1. The investigation of knowledge fills in the gaps. It’s not too late.” It is planned to hold a “third-year teacher-student meeting” at this stage to answer the students’ confusion in answering the math questions. After the meeting, the information will be compiled and sent to the students to better master the skills of mathematical solutions. 2, psychological adjustment.
We firmly believe that as long as we have worked hard, we must harvest the joy of harvest.
As long as there is a field of hope in the heart,
Diligent work will eventually usher in a verdant green
In March 2005, the general review of mathematics in the middle school was a key link to complete, deepen and deepen the content after completing the three-year mathematics teaching task. Paying attention to and conscientiously completing the teaching tasks at this stage will not only help the students to consolidate, digest, and summarize the basic knowledge of mathematics, improve their ability to analyze and solve problems, but also help the practical use of students. At the same time, it is the re-learning of the students who have poor learning foundation to find out the missing and to grasp the content of the teaching materials. Therefore, this plan has been specially formulated so that there are plans and steps to implement the general review of teaching .
First, closely follow the outline, elaborately edit the teaching plan. The mathematics content of the country is numerous and mixed. The basic knowledge and basic skills are scattered in the textbooks of three years. Students often learn new and forget the old ones. Therefore, it is necessary to elaborate the review plan according to the content of the outline and the systematic knowledge points. The preparation of the plan must be tailored to the student's reality. The basic knowledge-based method can be used to prepare a test question that infiltrates the main knowledge points according to the actual knowledge of the students in the usual teaching , so that the students can complete the test independently within the prescribed time. Then, according to the content that is difficult for students to understand, the rate of forgetting, and easy to mix and error, the focus of the plan is determined. After the review plan is formulated, it is necessary to do a good job of reviewing the example of the review class, and the review plan for the practice task. The review plan developed by the teacher should be given to the students, and the students should be required to formulate specific review plans according to their own learning and determine their own endeavor. aims.
When we organized the entire group of teachers to compile materials, we focused on the following three ideas:
1. Comprehensiveness Although we dare not say "a book is in hand, there is nothing to ask for", but we firmly believe that it is more or less helpful to you. Because we are surrounded by: 1 to carefully analyze the hot spots of the exam; 2 to carefully organize the knowledge points; 3 to the dynamic analysis of the 2005 senior high school entrance examination and other preparation concepts, at the same time, we are in the preparation of the arrangement: focus on the operation; based on the senior high school entrance examination Serving students and other ideas, according to the principles of designing the lesson plans and case studies in a class, so that our teachers can have a comprehensive value when using them.
2. Operability In the whole review, we set three stages 1 basic knowledge accumulation stage: the difficulty of the title is probably 70% of the basic questions in the middle school test questions; 2 the special knowledge finishing stage: the difficulty of the title is probably 20 in the middle school test questions %---30% of the application topics; 3 actual combat stages
3. In the preparation of this review book, in order to fully reflect the student's dominant position under the teacher's leadership, and truly let the students become the masters of learning, we designed four special columns when designing: “Self-diagnosis” Ming ""teacher-student dialogue" and "motorized field", so that our teachers can find non-intellectual factors and other curriculum resources when they use it.
4. All the exercises in the book of our new book are derived from the selection of 50% from the selection of excellent middle school exams in 2004, 2 select 20% from other relevant materials, 3 our school teachers Original self-edited exercises account for about 30%.
Second, chasing the source, the first stage of the system to master the basic review of the basic review, we must first emphasize the student system to master the basic knowledge and basic skills in the textbook, too good textbooks. Make clear requirements for students: 1 The basic concepts, rules, formulas, and theorems must not only be correctly described, but also flexible; 2 pairs of exercises must be passed through the subject; 3 review questions after each chapter are comprehensive, Most students are required to complete independently, and a few difficult students can complete it under the guidance of the teacher.
Third, systematically sorting out and improving the second stage of the review of students' review efficiency, it is necessary to embody the leading role of teachers. Systematic compilation of mathematics knowledge in the country, based on the interrelationship and mutual transformation of basic knowledge, combing and categorizing, sorting and reorganizing, and becoming a systematic knowledge point of the system. For example, the first three algebras can be divided into the definition of a function, a positive and negative proportional function, a one-time function; a quadratic quadratic equation, a quadratic function, and a quadratic inequality; The geometry is divided into 4 blocks and 13 lines: the first block is a line with the right angle triangle as the main body. The second similarity is divided into 3 lines: proportional line segments; the judgment and properties of similar triangles. The judgment and properties of similar polygons; the third circle consists of 7 lines: the nature of the circle; the line and the circle; the circle and the circle; the angle and the circle; the triangle and the circle; the quadrilateral and the circle; the polygon and the circle. The fourth block is a drawing problem. There are two lines: the inner and outer tangents of the circle and the circle; the trajectory of the point. This kind of summary summarizing the classes with little difference in degree and better quality can be done jointly by the teachers and students under the guidance of the teachers, that is, the students “draw the dragon” and the teachers “point the eye”. The middle and lower classes are classified by teachers, and the comparative exercises, block exercises and comprehensive exercises are carried out to enable students to truly grasp the content of mathematics textbooks in the country.
Fourth, concentrate on practice, strive to improve the speed of the test, sort out the block, and grasp the content of the textbook, then start the comprehensive review of the third stage. At this stage, in addition to paying attention to the key chapters in the textbooks, it is mainly based on repeated practice, giving full play to the main role of students. Usually, the comprehensive exercises of the chapters are based on comprehensive exercises and system knowledge, and the weight of the simulation questions is appropriately increased. For teachers, the main task at this time is to select exercises, carefully correct the exercises completed by the students, comment in a timely manner, check for missing vacancies, consolidate the effectiveness of review, and achieve self-improvement. There are two issues to be aware of in the selection of comprehensive exercises: First, the selected exercises should be purposeful, typical, and regular. Second, the exercises should be instructive, flexible, and comprehensive. For example, the proof and application of the angle bisector theorem, the circular angle, the central angle, the chord angle, the circular power theorem, the projective theorem, etc. are all comprehensive and important topics to be mastered. Grab it and catch it.
V. Checking for leaks and filling in the gaps to achieve the best results After the review of the three theories, we will prepare for the fourth round of review. At this stage, we mainly focus on two things: 1. The investigation of knowledge fills in the gaps. It’s not too late.” It is planned to hold a “third-year teacher-student meeting” at this stage to answer the students’ confusion in answering the math questions. After the meeting, the information will be compiled and sent to the students to better master the skills of mathematical solutions. 2, psychological adjustment.
We firmly believe that as long as we have worked hard, we must harvest the joy of harvest.
As long as there is a field of hope in the heart,
Diligent work will eventually usher in a verdant green
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