According to the instructions of the department leaders, President Liu and Director Yang, the remedial class changed from Olympic Games to competition, surpassing textbooks, improving eugenics and finally reaching the call of competition results. Combined with the actual situation of eighth grade students and previous counseling experience, the following scheme is formulated:
First, the general idea:
With textbooks as the key link and in line with the principle of transcending textbooks and overriding textbooks, students can see some problems that they can't see in the remedial class. Through the choice of methods and ideas, students can review and consolidate the basic knowledge of textbooks, broaden their horizons, expand their thinking space and make necessary preparations for the competition. In addition, in order to ensure the results of next semester's competition, we should find the young seeds of the competition as early as possible during the counseling period and carry out individual training and exercise as soon as possible.
Second, the specific lesson plans:
The fifth week: congruent triangles's basic questions are improved;
Week 6: congruent triangles improved the competition questions;
Week 7: congruent triangles passed the comprehensive questions;
Week 8: Perfect the basic problems of axisymmetric and isosceles triangles;
Week 8: isosceles triangle improvement competition
Week 9: Pass the isosceles triangle comprehensive questions.
Week 10: real number basic problem improvement problem competition;
Week 1 1: Mid-term exam
Week 12: a basic function problem; Improve the problem;
Week 13: function competition;
Week 14: pass the function synthesis test;
Week 15: Improvement of the basic problem of multiplication and division of algebraic expressions.
Week 16: factorize the basic questions and improve the questions;
Seventeenth
Seven weeks: factorization of competition questions;
Week 18: algebra and factorization pass test;
Week 19: final exam of competition class
Week 20: Final exam
Work plan for personal education of math teachers II. Analysis of learning situation
1 1 electronic (1), and now there are ***50 people, all male. In last year's academic performance, some students were able to actively think and speak in class, and also actively complete the accumulation of extracurricular knowledge after class. Two students took part in the county mathematics competition and won the second prize. However, there are still many students whose learning objectives are still unclear. School life is just muddling along. They don't listen carefully in class, do their homework independently, and have no time to study after class. So the results of these students can be imagined.
Second, teaching material analysis
This semester, according to the arrangement of the syllabus, the main contents include chapter 8, the equation of straight line and circle, chapter 9, solid geometry and chapter 10, probability and statistics. Specific content: Chapter 8 has the basic formula in coordinate system, the equation of straight line, the equation of circle, and the positional relationship between straight line and circle. This chapter mainly uses algebraic knowledge to explain geometric figures. The ninth chapter is divided into the basic properties of plane in space, the parallel relationship in space, the verticality and angle in space, polyhedron and rotator. The textbook first allows students to intuitively understand the geometry and trajectory of space, and then gives three basic properties of the plane, thus extending the parallel relationship on the plane to space. Learning solid geometry not only cultivates students' spatial imagination ability, but also cultivates students' logical thinking ability. Chapter 10 Count to two
Three basic methods: principle, probability preliminary, statistical preliminary and random sampling. This chapter should stimulate and cultivate students' interest in learning, enhance their social practice ability and cultivate their ability to solve practical problems.
Third, the teaching objectives
Analytic geometry: master the distance formula and midpoint formula between two points in the plane rectangular coordinate system; Understand the meaning of the equation of straight line and the equation of circle, and the equation finds the intersection of two curves; Understand the inclination and slope of the straight line, and find the slope and inclination of the straight line according to the known conditions; Master point oblique equation and straight oblique equation; Understand the intercept of a straight line on the Y axis, understand the relationship between a straight line and a binary linear equation, and master the general formula of a straight line. Understand the condition that two straight lines are equal and vertical, and you will find the distance from the point to the straight line; Master the standard equation and general equation of circle, and understand the positional relationship between straight line and circle; Can use the equations of straight lines and circles to solve simple problems.
Solid geometry: can draw the schematic diagram of a single figure correctly, and can imagine the spatial figure from the schematic diagram of the spatial figure; Will use oblique double-sided painting to draw vertical views of horizontal graphics such as regular triangles, squares and regular hexagons and vertical views of three-dimensional graphics such as cubes and cuboids; Understand the various positional relationships between spatial points, straight lines and planes; Master the basic properties of plane, the nature and judgment of spatial straight line and straight line, straight line and plane, plane and plane parallel and vertical; Understand the angle in space; Master the related concepts, structural characteristics and properties of simple polyhedron; Master the side area of regular prism, regular pyramid, cylinder and cone.
Calculation formula of surface area.
Probability statistics: if you master the principles of classified counting and step-by-step counting, you will use these two principles to solve some simple problems; Understand the concepts of random phenomena and random experiments; Understanding the essence of classical probability will solve some simple practical problems with classical probability. Understand the statistical definition of probability; Understand the necessity and importance of random sampling in combination with specific practical problem scenarios. Learn to extract samples from the population by simple random sampling method; Understand stratified sampling and systematic sampling methods; Will calculate the sample variance and standard deviation; Can reasonably select samples according to the needs of practical problems, extract basic digital features from sample data, and estimate the basic digital features of the population by using the idea of estimating the population with samples; The frequency distribution of samples will be used to estimate the overall distribution.
Fourth, teaching measures.
Starting from the actual situation of students and their surrounding life, we should decompose new knowledge, reduce the difficulty of accepting knowledge, enhance students' confidence in learning mathematics, set up study groups, and make progress in the form of mentoring.
In recent years, mathematics teaching in secondary vocational schools is difficult, students' foundation is poor, some teaching concepts are backward and outdated, and the content is dull. In order to ensure the smooth progress of teaching and improve students' learning ability, some feasible schemes should be adopted.
First, the student situation analysis:
Vocational school students lack confidence and initiative in learning mathematics, their basic knowledge of mathematics is weak, their basic concepts are vague, their basic methods are not solid enough, and they lack basic theories.
Solution and research, did not pay attention to the knowledge and methods learned in a timely manner to review and consolidate, and then soon forgot; Flexible use of knowledge to analyze problems, poor problem-solving ability, can only imitate, not extrapolate, a slight change in the topic will become helpless.
Second, the teaching purpose:
1. Get the necessary basic knowledge and skills of mathematics, understand the essence of basic concepts and theories of mathematics, understand the background and application of concepts and conclusions, and understand the mathematical ideas and methods contained in them, as well as their role in subsequent learning. Experience the process of mathematical discovery and creation through different forms of independent and inquiry activities.
2. Improve the ability to ask, analyze and solve problems in mathematics, and develop the ability to acquire mathematical knowledge independently.
3. Improve interest in learning mathematics, establish confidence in learning mathematics well, and form persistent research spirit and scientific attitude.
Third, the teaching objectives:
1. Understand the concepts of algebra, fraction, power and root of numbers; I know their properties and algorithms.
2. Master the solution of quadratic equation in one variable and be able to solve simple quadratic equation in two variables; Can flexibly use the discriminant of roots of quadratic equations in one variable and the relationship between roots and coefficients to solve related problems.
3. Understand the concept of fractional exponential power and master the operational properties of rational exponential power.
4. Understand the concepts of set, element and subset: Understand the concept of interval and be able to express a simple number set in the form of interval.
Fourth, teaching analysis:
1. Select typical, rich, familiar and closely related materials to create mathematical ideas that can reflect mathematical concepts and conclusions.
And the learning situation of mathematics application, so that students can feel close to mathematics and cultivate their interest.
2. Emphasize mathematical thinking methods such as analogy, popularization and specialization in teaching, and cultivate the habit of logical thinking as much as possible.
Verb (abbreviation of verb) teaching measures;
1. Do a good job in classroom teaching and improve teaching efficiency. Classroom teaching is the main link of teaching. Therefore, grasping numbers in classroom teaching is the basis of teaching and the main way to improve math scores.
2. Strengthen extracurricular tutoring to improve competitiveness. Extracurricular tutoring is a powerful supplement to the classroom and a powerful means to improve math scores.
3. Do a good job in unit tests and analyze periodic exams.