Hyperbolic knowledge points of senior two mathematics
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Guiding ideology of mathematics learning plan for senior two (1);
Guided by the spirit of the 17th National Congress of the Communist Party of China, we should thoroughly implement Scientific Outlook on Development, strengthen service awareness, innovate teaching and research methods, improve work effectiveness, accelerate the pace of innovation, improve the level of curriculum implementation, thoroughly implement quality education and comprehensively improve the quality of education and teaching.
Working ideas:
Go deep into the classroom, carry out investigation and study, grasp the actual situation, and make the teaching and research work of this school year more targeted and effective; Combining field teaching and research with network teaching and research, seeking a breakthrough in teaching and research methods; With what? Learning plan guidance? In order to make full use of the achievements in education and scientific research in recent years, we should actively promote the reform and innovation of classroom teaching, strive to improve classroom teaching methods, optimize classroom teaching structure, strive to create efficient classrooms, and greatly improve the quality of mathematics teaching.
Main work measures:
First, strengthen rights? Learning plan guidance? Research, build an efficient classroom, promote teaching innovation, and implement quality education in depth.
1, strengthen the right? Learning plan guidance? Research. ? Learning plan guidance? The research will become the focus of promoting middle school mathematics quality education in our city in the future. The key is to improve the effectiveness of middle school mathematics classroom teaching and make good use of the classroom for 45 minutes. Three years' practice has proved that the teaching mode of learning guided by learning plan conforms to the concept of quality education and is conducive to promoting the all-round development of students. Does it match? High efficiency and light burden? , in line with the current advanced teaching mode of teaching practice in our city. Mathematics teaching and research institutions in cities, districts, counties and schools and every middle school mathematics teacher should make corresponding plans and make efforts to carry out this research, especially in the teaching and research activities in cities, districts and counties, which should play an exemplary role in carrying out this research.
2. Refine and form a learning strategy with the characteristics of our city. It is planned that in the next few years, we will continue to carry out special research aimed at improving classroom teaching methods and improving classroom teaching efficiency, excavate, collect, sort out and refine the effective practices of excellent teachers in our city on middle school mathematics classroom teaching, form a more systematic and effective middle school mathematics classroom teaching strategy, and carry out teaching and research activities around this theme.
Second, pay attention to it? Online teaching and research? , manufacturing? Online teaching and research? Effective and powerful auxiliary field teaching and research
1, give full play to the role of the teaching and research section website in teaching and research, and open a network communication platform, such as? Solve the problem? 、? Debate on curriculum reform? 、? How do you comment on these courses? And other columns have established an open and interactive communication mechanism for teachers in the city, providing conditions for subject teachers to communicate with their peers and discuss teaching problems with teaching and research personnel by using the network.
2. Carry out academic exchange activities with peers and university teachers through the network, give full play to the role of core group members, discuss teaching reform and teaching research issues, obtain new teaching information and guide teaching activities.
3. Integrate teaching resources, extensively collect, develop and combine teaching resources, establish a teaching resource platform for grass-roots teachers, set up a writing team for subject teaching resources, constantly broaden the channels of teaching resources, enrich and update teaching resources, and provide them to teachers through the network.
Third, strengthen the unified research of new curriculum standard teaching materials and improve the quality of mathematics teaching in an all-round way.
1. Strengthen learning, especially the study, research and exchange of mathematics curriculum standards. Each school's mathematics discipline group should organize the study and discussion of mathematics teachers in this school in a planned way. We should try our best to make every math teacher better understand the overall goal of the course, the specific goals of each learning section and the content standard of the high school section put forward in the curriculum standard, and better grasp the mathematical thinking method in the mathematics learning content. The research of experimental teaching materials should be carried out book by book and chapter by chapter, and every math teacher should strive to master the structural characteristics of the teaching materials, the status, functions and target requirements of each chapter.
2. Strengthen communication, actively carry out cooperation and exchanges between counties and schools, and constantly improve the quality of mathematics teaching and research activities at the county and school levels. Strengthen the macro guidance of mathematics teaching in the whole city and provide support for teaching and research activities in all districts and counties.
3. We should continue to do a good job in the research on the reform of the examination evaluation system. We should conscientiously sum up the experience of evaluation and examination system reform in new curriculum experiments in our city in recent years, and actively explore diversified evaluation and examination methods that are conducive to promoting students' development.
4. Mathematics teaching should be guided by the concept of new mathematics curriculum, fully implement the requirements of mathematics curriculum standards and examination syllabus, and do a solid job? Miki? In teaching, we should strengthen the teaching of core concepts and methods of mathematics, strengthen the cultivation of mathematics application consciousness and innovation consciousness, and improve the ability of analyzing and solving problems.
Fourth, do a good job in summarizing the new curriculum of high school mathematics and continue to promote the experiment of the new curriculum of high school mathematics.
1. The new curriculum standard has been implemented for the fifth year. It is necessary to make a summary of the five-year implementation and follow-up experiments. This semester, we should complete the experimental summary of the new high school mathematics curriculum, revise and improve the guiding opinions of the new high school mathematics teaching in our city, and do a good job in the collection and selection of the experimental research results of high school mathematics.
3. We should continue to strengthen the training of high school mathematics new curriculum teachers. Invite experts from the teaching material training lecturer group of People's Education Society to conduct full-time training, and further strengthen the study, research and training of experimental teaching materials in combination with regular teaching and research activities. The study and research on the textbooks used should be combined with the study and research on the curriculum standards, and various effective seminars should be organized.
3. Further improve the quality of teaching and research activities, strengthen the guidance of experimental teaching in the new curriculum, and do a good job in the attendance of teachers participating in teaching and research activities. The time for each teaching and research activity shall not be less than four hours. The content of teaching and research activities should be what teachers care about and really help teachers to teach. The forms of teaching and research activities should be rich and varied.
Five, according to the curriculum standards and exam instructions, assist Mr. Zhu to do a good job in preparing for the math review in senior three.
This year's senior three is the second year of teaching in our city according to the senior high school mathematics curriculum standards. According to the requirements of the curriculum standards and test instructions, and according to the characteristics of the mathematics proposition of the college entrance examination in 2008 in our province, the quality of review preparation should be steadily improved.
1. Strengthen the research on the characteristics of the mathematical proposition of the college entrance examination in 2008 in our province, and better grasp the macro direction of reviewing and preparing for the exam in senior three. To implement? Grasp the foundation, focus and implement? . It is necessary to continue to summarize, publicize and popularize the experience of mathematics review preparation formed in our city over the years, and prepare for the exam in a down-to-earth and scientific way, in line with the teaching rules.
2. Strengthen the research of mathematics classroom teaching in senior three, and do a good job in reviewing and preparing for the college entrance examination for middle-aged and young mathematics teachers in senior three in a planned way. In order to strengthen the research on the content of the test center of the college entrance examination and the teaching law of senior three, a joint examination class for senior high mathematics is held, and the quality of review preparation is improved by accurately grasping the examination content, increasing student activities. We should make full use of the time of teaching and research activities in senior three to improve the quality of teaching and research activities.
Six, based on the front line of teaching, enrich teaching and research methods, build a display platform, and lead the professional growth.
Go deep into the school as a collaborator and partner, go to the teacher's side, listen to the teacher's voice and participate in the school's teaching and research activities. Discuss and study classroom teaching with teachers in class attendance and evaluation. Find the bright spot in teachers' teaching and rise to the theoretical level for analysis and amplification. Make teachers change from unconscious teaching practice to conscious teaching practice; From lack of theoretical research to conscious theoretical research; From unaccustomed reflection to active reflection.
Flexible use of case analysis, problem solving, investigation and research, practical exploration, regional exchanges and other teaching and research activities, to build a platform for information exchange, experience sharing and thematic discussion among teachers, to promote teachers' professional development and achieve a win-win situation.
Mathematics learning plan for senior two (II) I. Basic situation of students
There are 75 students in class 26/KLOC-0 and 72 students in class 268. Class 268 has a strong atmosphere of learning mathematics, but the foundation of the function part of Grade One is poor, which has a great influence on the mathematics learning of Grade Two and even the whole high school. There are more or less top students in mathematics, but if you can review the function part carefully, students will work hard and have a bright future. If we can guide them well and further cultivate their interest in learning,
Second, the teaching requirements
(A) emotional goals
(1) Cultivate students' interest in learning by teaching the methods of analyzing problems, multiple solutions of inequalities, multiple solutions of inequalities and multiple proofs of inequalities. (2) Provide life background, let students experience the inequalities, straight lines, circles and conic curves around them, and cultivate the consciousness of learning and using mathematics. (3) Explore the essence of inequality and conic curve, experience the hardships and fun of obtaining mathematical laws, learn to communicate and evaluate each other in group research and cooperative learning, and improve students' sense of cooperation. (4) Adjust the teaching process according to emotional goals, and enhance learning beliefs and confidence.
(5) Give students time and space, classes and the right to explore and discover, and give students the opportunity to explore and cooperate independently. While developing thinking ability, we should cultivate our own mathematical feelings, learn mathematics with confidence, and pursue the scientific spirit of mathematics. (6) let students experience? Discovering setbacks, contradictions, and new discoveries? The magic and diversity of scientific discovery process.
(2) Capacity requirements
1, cultivate students' memory ability.
(1) In the study of the nature of inequality, average inequality, thinking method and logical way, further cultivate the memory ability. Make the memory accurate and lasting, and reproduce it quickly and correctly in time.
(2) Through the teaching of the definition and the overall structure of the proposition, the essential characteristics and relations are revealed, and the memory of the background facts and specific data of the essential problems of mathematics is cultivated. (3) To cultivate memory ability by revealing the corresponding relationship between the concepts, formulas and intuitive values of analytic geometry.
2. Cultivate students' computing ability.
(1) Train students' operational ability by solving inequalities and groups of inequalities.
(2) Strengthen the teaching of clarity and flexibility of concepts, formulas and rules, and cultivate students' computing ability. (3) Through the teaching of analytical methods, the clarity, rationality and simplicity of students' operation are improved. (4) To cultivate correct, fast, reasonable and flexible computing ability and promote the infiltration and migration of knowledge through multiple solutions to one problem and changeable problems. (5) Use the combination of numbers and shapes to find another way to improve students' computing ability. 3. Cultivate students' thinking ability.
(1) Cultivate students' thoroughness and logicality by solving parameter inequalities.
(2) Analyzing geometry and inequality with multiple solutions to one question, multiple solutions to one question and multiple proofs to one question can cultivate flexibility and agility of thinking and develop divergent thinking ability.
(3) Cultivate students' creative thinking through the popularization of inequality.
(4) Strengthen the horizontal connection of knowledge and cultivate students' ability of combining numbers with shapes.
(5) Through the concept teaching of analytic geometry, cultivate students' ability of positive thinking and reverse thinking.
(6) It is the way for students to master the transformation of thinking by analyzing different ideas of typical examples and cultivating the flexibility of thinking.
4. Cultivate students' observation ability.
(1) Improve the accuracy and completeness of observation in comparative identification. (2) Through the analysis and research of personality characteristics, we can improve the depth of observation. (3) Knowledge requirements 1, mastering the concepts, properties and methods of proving inequalities, and solving inequalities;
2. Through the teaching of lines and circles, students can understand the basic ideas of analytic geometry, master several forms and positional relationships of linear equations, master simple linear programming problems, and master the concepts of curve equations and circles.
3. Master the definitions, equations, graphs and properties of ellipses, hyperbolas and parabolas.
Third, a brief analysis of teaching materials
The main contents of 1. inequality are: the nature of inequality, the proof of inequality and the solution of inequality. The nature of inequality is the foundation, and the proof of inequality is based on this; On this basis, according to the nature of inequality and the deformation of the same solution, the inequality is solved. Inequality is an important tool in the whole high school mathematics, and it is a powerful carrier to cultivate the ability of calculation and logical thinking.
2. The straight line is the simplest figure, and it is the basis of learning quadratic curve, derivative and differential. , is a direct application of linear equations. The main contents are: several forms of linear equation, the preliminary knowledge of linear programming, the positional relationship between two straight lines, and the equation of circle; Slope is the most important concept, slope formula is the most important formula, and straight lines and circles are the carriers of the idea of combining numbers and shapes, which are used to analyze the mutual application of geometry.
3. Conic curve includes the definitions of ellipse, hyperbola and parabola, standard equation, simple geometric properties and its application in practice. Ellipse, hyperbola and parabola are the trajectories of points that meet certain conditions, from which their equations can be obtained, and their properties can be studied by analyzing the standard equations.
If you want to master the hyperbolic knowledge of senior two mathematics and further conquer other courses in senior two, you may wish to listen to some famous teachers' lectures and get high marks! (Click on the picture to enter experiential learning directly! ! ! )