First, the teaching objectives, requirements and tasks of this course this semester
(1) Knowledge and skills:
1. Understand the significance of fractional multiplication and division, master the calculation method of fractional multiplication and division, skillfully calculate simple fractional multiplication and division, and perform simple fractional elementary arithmetic.
2. Understand the meaning of reciprocal and master the method of finding reciprocal.
3. Understanding the meaning and nature of ratio, seeking ratio and transforming ratio can solve simple practical problems about ratio.
4. Master the characteristics of the circle and draw the circle with compasses; Exploring and mastering the formula of the circumference and area of a circle can correctly calculate the circumference and area of a circle.
5. Know that the circle is an axisymmetric figure, and further understand the axisymmetric figure; Translation, axial symmetry and rotation can be used to design simple patterns.
6. Be able to express the position with several pairs on the grid paper, and get a preliminary understanding of the idea of coordinates.
7. Understanding the meaning of percentage and calculating skillfully can solve simple practical problems about percentage.
8. Understand the fan chart, and choose the appropriate chart to represent the data as needed.
(2) Process and method
1. Experience the process of finding, putting forward and solving problems in real life, understand the role of mathematics in daily life, and initially form the ability to comprehensively use mathematical knowledge to solve problems.
2. Experience the diversity of problem-solving strategies and the effectiveness of using hypothetical mathematical thinking methods to solve problems, and feel the charm of mathematics. Form the consciousness of discovering mathematics in life, and initially form the ability of observation, analysis and reasoning.
Emotions, attitudes and values
1. Experience the fun of learning mathematics, improve the interest in learning mathematics, and build confidence in learning mathematics well.
2. Develop the good habit of working hard and writing neatly.
Key points: fractional multiplication and division, circle, percentage, etc.
Difficulties:
1. On the basis of learning integer and decimal calculation, cultivate students' ability to calculate four fractions and solve practical problems about fractions.
2. Understanding the meaning of percentage and mastering the calculation method of percentage will solve simple practical problems about percentage.
3. Through the exploration and study of the characteristics of curve figure-circle and related knowledge, the basic method of learning curve figure is preliminarily understood, which promotes the further development of students' spatial concept.
Second, the analysis of students' basic situation and specific measures to improve the quality of teaching
(A) Analysis of the basic situation of students
1, cognitive situation
After five years of mathematics study, most students have mastered the basic calculation ability and learned to add, subtract, multiply and divide integers and decimals. Addition and subtraction of fractions. In the fields of number and algebra, space and graphics, problem solving, statistics, mathematics wide angle and so on.
But there are also a few students who are not skilled in calculation and lag behind in abstract ability. They still have difficulty in solving problems with mathematical knowledge and lack comprehensive analysis ability.
2. Emotions and attitudes
Students have good classroom discipline and study habits, but there are also imbalances. Some students lose confidence in mathematics because of learning failure, so give full play to their enthusiasm and initiative in teaching, and help them make up for old knowledge while teaching new knowledge.
Some students have entered puberty ahead of schedule, so we should respect their demand for independence in teaching and help them calm down and learn math well.
(B) specific measures to improve the quality of teaching this semester
1. First, thoroughly understand the contents of this textbook, master the important and difficult points of this teaching, and have a complete semester teaching idea; Secondly, we should go to each class step by step.
2, continue to cultivate students' good study habits as a work goal.
3. Strengthen the work of correcting students' wrong questions.
4. Pay attention to the study of the last 30% students and strengthen the after-school counseling of individual students.
5. Stimulate students' learning interest and internal motivation with "learning gains".
Third, teaching material analysis and measures
(1) teaching material analysis
The arrangement and treatment of teaching content in this textbook is guided by the ideas and principles of compiling a whole set of experimental textbooks, and strives to make the structure of the textbooks conform to the principles of pedagogy and psychology and the age characteristics of students, and continue to reflect the styles and characteristics of previous experimental textbooks. This textbook still has the characteristics of rich content, paying attention to students' experience and understanding, embodying the formation process of knowledge, encouraging diversification of algorithms and problem-solving strategies, changing students' learning methods, and embodying open teaching methods. At the same time, due to the different teaching contents, this textbook also has the following obvious characteristics.
1. Improve the arrangement of fractional multiplication and division, embody the new concept of mathematics teaching reform, deepen students' understanding of mathematics knowledge and cultivate students' application consciousness. Like the calculation teaching of integers and decimals, the multiplication and division teaching of fractions should also reflect the idea of calculation teaching reform. Therefore, the arrangement of experimental textbooks has the following improvements compared with the original compulsory education textbooks.
(1) Don't teach the meaning of fractional multiplication and fractional division separately, but let students understand the meaning of operation by solving practical problems and combining the specific situation and calculation process.
(2) Through practical problems, the problems that need to be calculated in fractional multiplication and division are introduced, so that students can experience and understand fractional multiplication and division algorithms and arithmetic in real situations, and organically combine problem-solving teaching with calculation teaching.
(3) With the help of operations and charts, guide students to explore and understand the algorithm and arithmetic of fractional multiplication and division.
(4) There is no written narrative calculation rule, which simplifies the description of mathematical deduction process and the hint of problem-solving ideas, and provides more space for students to explore and communicate through intuitive and operational means.
(5) Adjust the arrangement of application problems of score multiplication and division, and pay attention to cultivating students' ability to solve practical problems with mathematics.
2. Improve the arrangement of percentage, pay attention to the transfer of knowledge and connect with practice, and strengthen the cultivation of students' learning ability and application consciousness.
3. Provide rich teaching content of space and graphics, pay attention to hands-on practice and independent exploration, and promote the development of students' space concept.
The main goal of space and graphics teaching in primary schools is to develop students' concept of space. Like the previous books, this textbook continues to focus on promoting the development of students' spatial concepts and arranging spatial and graphic contents. In the teaching content, two units, "position" and "circle", are arranged.
4. Strengthen the teaching of statistical knowledge, cultivate students' statistical concepts, and gradually form the thinking habit of thinking from a mathematical perspective.
5. Infiltrate mathematical thinking methods step by step to cultivate students' mathematical thinking ability and problem-solving ability.
6. The cultivation of emotion, attitude and values permeates mathematics teaching, and stimulates students' interest and inner motivation with the charm of mathematics and the harvest of learning. (1) Provide rich materials to cultivate students' interest in learning mathematics.
(2) Pay attention to the close relationship between mathematics and human life and the cultural value of mathematics.
(3) Through independent exploration activities, students can gain successful learning experience and enhance their confidence in learning mathematics well.
Fourth, teaching objectives.
(1) Knowledge and skills:
1. Understand the significance of fractional multiplication and division, master the calculation method of fractional multiplication and division, skillfully calculate simple fractional multiplication and division, and perform simple fractional elementary arithmetic.
2. Understand the meaning of reciprocal and master the method of finding reciprocal.
3. Understanding the meaning and nature of ratio, seeking ratio and transforming ratio can solve simple practical problems about ratio.
4. Master the characteristics of the circle and draw the circle with compasses; Exploring and mastering the formula of the circumference and area of a circle can correctly calculate the circumference and area of a circle.
5. Know that the circle is an axisymmetric figure, and further understand the axisymmetric figure; Translation, axial symmetry and rotation can be used to design simple patterns.
6. Be able to express the position with several pairs on the grid paper, and get a preliminary understanding of the idea of coordinates.
7. Understanding the meaning of percentage and calculating skillfully can solve simple practical problems about percentage.
8. Understand the fan chart, and choose the appropriate chart to represent the data as needed.
(2) Process and method
1. Experience the process of finding, putting forward and solving problems in real life, understand the role of mathematics in daily life, and initially form the ability to comprehensively use mathematical knowledge to solve problems.
2. Experience the diversity of problem-solving strategies and the effectiveness of using hypothetical mathematical thinking methods to solve problems, and feel the charm of mathematics. Form the consciousness of discovering mathematics in life, and initially form the ability of observation, analysis and reasoning.
Emotions, attitudes and values
1. Experience the fun of learning mathematics, improve the interest in learning mathematics, and build confidence in learning mathematics well.
2. Develop the good habit of working hard and writing neatly.
Key points:
Fractional multiplication and division, circle, percentage, etc.
Difficulties:
1. On the basis of learning integer and decimal calculation, cultivate students' ability to calculate four fractions and solve practical problems about fractions.
2. Understanding the meaning of percentage and mastering the calculation method of percentage will solve simple practical problems about percentage.
Fourth, specific measures to improve quality.
Direction is better than method, and law is more important than rules. To determine the teaching objectives, we should avoid the so-called emotions, attitudes and values that are labeled.
1. First, thoroughly understand the contents of this textbook, master the important and difficult points of this teaching, and have a complete semester teaching idea; Secondly, we should go to each class step by step.
2, continue to cultivate students' good study habits as a work goal.
3. Strengthen the work of correcting students' wrong questions.
4. Pay attention to the study of the last 30% students and strengthen the after-school counseling of individual students.
5. Stimulate students' learning interest and internal motivation with "learning gains".
A good teacher speaks well (interesting, witty, metaphorical, intelligent).
The second part is the work plan of sixth grade mathematics teaching
I. Basic information
There are * students in Grade Six, including * boys and * girls. Generally speaking, the students in this class are lively and lovely, most of them have active thinking, strong interest in learning mathematics and good study habits. However, there are also a few students who are slow-witted, slow-thinking and easily distracted, but have a strong thirst for knowledge. However, a few underachievers still need to work hard. In particular, five students have extremely low intelligence and poor acceptance, and they can hardly finish their homework independently. Therefore, teachers should have hierarchical and patient guidance, so that each student can successfully complete the learning tasks of this semester. In addition, the enthusiasm of the whole class to answer questions is generally not high, and the quality of homework writing is not high. Therefore, we should strengthen training in future teaching.
Second, teaching material analysis
1, teaching content analysis
This textbook includes the following contents: position, fractional multiplication, fractional division, circle, percentage, statistics, mathematical wide angle and mathematical practice activities.
Fraction multiplication and division, circle and percentage are the key teaching contents of this textbook.
2. Teaching objectives
1, understand the significance of fractional multiplication and division, master the calculation method of fractional multiplication and division, skillfully calculate simple fractional multiplication and division, and be able to perform simple fractional elementary arithmetic.
2. Understand the meaning of reciprocal and master the method of finding reciprocal.
3. Understanding the meaning and nature of ratio, seeking ratio and transforming ratio can solve simple practical problems about ratio.
4. Master the characteristics of the circle and draw the circle with compasses; Exploring and mastering the formula of the circumference and area of a circle can correctly calculate the circumference and area of a circle.
5. Know that the circle is an axisymmetric figure, and further understand the axisymmetric figure; Translation, axial symmetry and rotation can be used to design simple patterns.
6. Be able to express the position with several pairs on the grid paper, and get a preliminary understanding of the idea of coordinates.
7. Understanding the meaning of percentage and calculating skillfully can solve simple practical problems about percentage.
8, understand the fan chart, according to the need to choose the appropriate chart to represent data.
9. Experience the process of finding, putting forward and solving problems in real life, understand the role of mathematics in daily life, and initially form the ability to solve problems by using mathematical knowledge comprehensively.
10, experience the diversity of problem-solving strategies and the effectiveness of using hypothetical mathematical thinking methods to solve problems, and feel the charm of mathematics. Form the consciousness of discovering mathematics in life, and initially form the ability of observation, analysis and reasoning.
1 1, experience the fun of learning mathematics, improve the interest in learning mathematics, and establish confidence in learning mathematics well.
12, form a good habit of doing your homework carefully and writing neatly.
3. Teaching focus
① Understand the significance of fractional multiplication and division, master the calculation method of fractional multiplication and division, skillfully calculate fractional multiplication and division, perform simple fractional elementary arithmetic, and solve simple practical problems about fractional multiplication and division.
② Understanding the meaning and nature of ratio, seeking ratio and transforming ratio will solve simple practical problems about ratio.
③ Grasp the characteristics of the circle and draw the circle with compasses; Exploring and mastering the formula of the circumference and area of a circle can correctly calculate the circumference and area of a circle.
④ Understanding the meaning of percentage and calculating skillfully can solve simple practical problems about percentage.
⑤ Understand the fan-shaped statistical chart, and choose the appropriate statistical chart to represent the data as needed.
⑥ Experience the process of finding, putting forward and solving problems in real life, understand the role of mathematics in daily life, and initially form the ability to comprehensively use mathematical knowledge to solve problems.
4. Teaching difficulties
(1) Understand the meaning of fractional multiplication and division and percentage, and master fractional elementary arithmetic skillfully.
② Solve the practical problems of simple fractions and percentages.
③ Mastering the characteristics of a circle can correctly and skillfully calculate the circumference and area of the circle.
(4) according to the specific situation, choose the appropriate statistical chart to represent the data.
⑤ Experience the process of finding, asking and solving problems in real life, understand the role of mathematics in daily life, and initially form the ability to solve problems by comprehensively applying mathematical knowledge.
Third, teaching measures
1, strengthen the cultivation of calculation ability, especially the calculation of fractional multiplication and division, make the calculation correct and fast through oral calculation, make the calculation detailed through written calculation, and form the good habit of conscious inspection.
2. Strengthen research-based learning, so that students can acquire knowledge, experience and ability through their own exploration.
3. Strengthen the teaching of basic knowledge and skills.
4. Strengthen the cultivation of students' ability, good ideological and moral character and study habits, and stimulate students' interest in learning mathematics.
5. Pay attention to imparting basic knowledge and cultivating basic skills in teaching.
6. The application of fractional and percentage multiplication and division is a teaching focus of this book. It is necessary to guide students' analysis with line diagrams and let them pass the test. Focus on teaching students to understand the meaning of the question, analyze the quantitative relationship through the question and list the formulas.
7, position, circle and related calculation should pay attention to intuitive teaching, which is conducive to students' learning. Guide students to operate and draw pictures, and cultivate their practical ability.
8. Attach importance to the connection between mathematics and life, strengthen the cultivation of practical ability, improve exercise design and promote students' learning.
9. Pay attention to teaching methods, care about and understand every student, and pay attention to helping the excellent and helping the poor.
Fourth, the class schedule
I) Location (2 class hours).
2) Fractional multiplication (12 class hours).
3) Fractional division (13 class hours).
4) Circle (8 class hours);
Determine the starting line of 1 class.
5) Percentage (15 class hours).
6) Statistics (2 class hours);
Reasonable deposit 1 class hour.
7) Mathematics Wide Angle (2 class hours).
8) Overall evaluation (4 class hours).
The third part is the sixth grade mathematics teaching work plan.
First, the analysis of learning situation
I am the teaching task of sixth grade mathematics this semester. Most students have solid basic knowledge, are interested in mathematics, are diligent in thinking and are willing to explore. However, several students' learning situation is unstable, and their homework needs constant supervision from teachers, so their thinking reaction is slow. This requires me to constantly explore and improve teaching methods in the new semester, stimulate students' interest and potential, and establish confidence in learning mathematics well. At the same time, while facing the whole society, let different students have different development in mathematics, pay attention to cultivating students' openness, flexibility, divergence and originality, so that they can be good at thinking and master effective learning strategies.
Second, the analysis of teaching objectives
(A), learning objectives
1, knowledge and skills:
(1) Experience the process of abstracting the relationship between numbers and simple quantities from real life, understand the meaning of fractions and percentages, and master the necessary operation skills (including estimation); To explore the hidden laws in a given thing, we can use equations to express simple quantitative relations and solve simple equations.
(2) By exploring the relationship between shape, size, movement, position and graphics, we can understand the basic characteristics of simple geometry and plane graphics, transform simple graphics, and develop skills such as measuring, trying and drawing.
(3) Master some data processing skills through the process of collecting, sorting, describing and analyzing data.
2, process and method:
(1) can collect useful information, make induction, analogy and guess according to the needs of solving problems, and develop the initial rational reasoning ability.
(2) In the process of solving problems, we can think methodically and make a convincing explanation for the rationality of the conclusion.
(3) Can find and put forward simple mathematical problems from real life.
(4) To explore effective methods to solve problems. And try to find other ways.
(5) Learn to cooperate with others in problem-solving activities.
(6) Have the consciousness of reviewing and analyzing the problem-solving process.
3. Emotions and attitudes
(1) With the encouragement and guidance of others, I can actively overcome the difficulties encountered in mathematics activities, have successful experience in overcoming difficulties and solving problems with knowledge, have a certain grasp of the correctness of my own results, and believe that I can make continuous progress in my study. (2) Through observation, operation, induction, analogy, reasoning and other mathematical activities, experience the exploration and challenge of mathematical problems, and feel the order of mathematical thinking process and the certainty of mathematical conclusions. (3) Have the consciousness of asking questions about places you don't understand or different viewpoints, be willing to discuss mathematical problems, and correct mistakes in time when they are found.
(2) Specific objectives
1, students understand the significance of fractional multiplication and division, master the calculation rules of fractional multiplication and division, and skillfully calculate fractional multiplication and division (simple oral calculation).
2, elementary arithmetic will score.
3. To understand the meaning and essence of comparison, we can seek comparison and change it.
4. Grasp the characteristics of the circle and draw the circle with tools; Mastering the formula for calculating the circumference and area of a circle can correctly calculate the circumference and area of a circle. By introducing the historical data of pi, students are educated in patriotism.
5. Through a large number of life examples, students can initially understand the meaning of axial symmetry and axial symmetry graphics.
6. Be able to solve fractional application problems that are easy to calculate in one or two steps, be able to solve relatively simple practical problems by comprehensively applying what you have learned, and be able to flexibly choose arithmetic solutions and equation solutions according to the specific conditions of application problems.
7. Understanding the meaning of percentage and calculating skillfully can solve some simple practical problems about percentage.
Third, the knowledge structure analysis of teaching materials
This textbook includes the following contents: fractional multiplication, division, fractional elementary arithmetic and application problems, circles and percentages.
The overall arrangement of this textbook is: on the basis of the previous book, focus on teaching the four operations of fractions, and cultivate students' ability to operate the four operations of fractions and elementary arithmetic scoring; Begin to understand the application of curve figure-circle and its perimeter and area formula in real life, understand the axisymmetric figure, and further
Develop students' concept of space; The percentage of initial teaching and its application: to further develop students' abstract thinking ability and cultivate their thinking quality in combination with what they have learned; Improve students' ability to comprehensively apply what they have learned to solve easy fractional application problems and simple practical problems.
It includes fractional multiplication and division, fractional elementary arithmetic and its application, percentage and its application, simple equations of fractions, column equations for solving fractional application problems, etc. Belonging to the field of numbers and algebra. Understanding of circle, calculation of circumference and area of circle, understanding of sector *, preliminary concept of symmetry, axisymmetric figure, etc. It belongs to the field of "space and graphics" in practical activity class, "calculation" and "investigating interest rate and calculating interest", and scores four application questions, which belong to the field of "practice and comprehensive application".
This book focuses on fractional elementary arithmetic and its application, the application of the formula of circumference length and area, and the application of percentage. The difficulties are the meaning of multiplying a number by a fraction, the meaning of fractional division and the quantitative relationship between fractional application problems.
Fourth, the specific measures to complete the task
1, prepare lessons carefully, listen to lectures carefully, give timely feedback and give effective guidance to realize the "three clean-ups".
Before each class, according to the new curriculum standards, study teaching materials, read teaching reference materials, discuss difficult problems, understand students, effectively absorb all aspects of lesson preparation information, creatively use teaching materials, compile practical teaching plans and appropriate teaching methods, and optimize classroom teaching. At the same time, implement quality education in classroom teaching. Follow students' psychological characteristics, cultivate students' interest in learning, and make them love your subject, so as to achieve the purpose of learning happily, loving and learning well. Teachers should give priority to guidance, students should give priority to thinking, give students more opportunities to think, talk and do things, cultivate students' ability of independent exploration and cooperation, and enable students to master effective learning strategies and learn to learn. Combine classroom test, homework, homework and unit test, feedback students' mastery in time, and provide individual counseling to effectively realize the "three cleanups".
2. Continue to strengthen training and make-up work.
Pay attention to both ends in class, with the middle belt. We should give more guidance, ask more questions and encourage students with learning difficulties, stimulate their interest in learning mathematics and establish confidence in learning mathematics well. At the same time, give full play to the spirit of solidarity and friendship among students, and set up "one-on-one" deskmate activities to reward groups with outstanding achievements in the activities. For students who are good at learning, we should let them eat enough in class and join math interest groups after class to fully develop their intellectual potential and realize the different development of different students in mathematics.
4. Vigorously carry out mathematical practice activities.
Two mathematical practice activities were arranged this semester, one was "calculation" and the other was "investigation of interest rate and calculation of interest". In teaching, we should actively guide students to discover mathematical information contained in practical problems from different angles, explore various methods to solve problems, deepen their understanding of what they have learned, cooperate and communicate effectively with others, realize the close relationship between mathematics and real life, and establish the consciousness of using mathematics. After each practical activity, students should write a practical activity report, select excellent activity groups, and stimulate students' enthusiasm for participation.