The first part: the teaching plan of the second volume of mathematics in the fourth grade of primary school.
1. Basic information of students
There are xx students in Grade 4 * * *, including xx boys and xx girls. The fourth-grade students have moved from middle grade to senior grade, and their thinking has begun to transition from concrete thinking in images to abstract thinking. Their understanding of things around them has risen to a higher level than before, and they have been able to understand things and solve problems by inductive methods. The students in this class already have a preliminary knowledge of mathematics, which has laid a good foundation for learning this textbook well.
2. Knowledge mastery
Judging from the entrance examination, students have not mastered the basic knowledge firmly. In terms of calculation, students are very different, and most students can blurt out verbal calculations. However, due to some students' poor knowledge of multiplication and division, the speed of oral calculation and the correctness of calculation are directly affected, and the gap between students in this respect is very large. For some calculation problems, the calculation speed of some students needs to be improved, and various good habits of calculation need to be developed. Only some students can carefully analyze the meaning of the questions and correctly express them, but they can't well analyze the meaning of the questions according to the quantitative relationship of the application questions, and they don't have a good grasp of the structure of various application questions. Meanwhile, the ability to solve practical problems needs to be improved. This has brought some difficulties to the teaching this semester. A few top students have developed their knowledge experience, ability to acquire knowledge and abstract thinking level to a certain extent. They have a firm grasp of basic knowledge and a certain ability to learn mathematics. Students with learning difficulties even have difficulty in multiplication and division.
3. Study habits, interests, methods and psychological characteristics.
Judging from the study habits, interests and methods, most students have good study habits and attitudes, have a strong interest in learning mathematics, and can learn mathematics according to the correct learning methods. They can abide by the classroom rules in class, concentrate on their homework, finish their homework carefully, and ask questions boldly in time if they don't understand. Students are self-motivated, and classmates have a strong sense of competition. Good at actively accepting new knowledge, strong curiosity, active heart and active thinking in images. Because of their young age and unstable personality, students can't objectively analyze their understanding and personal feelings about things, their willpower has not been finalized, their self-control is not strong, they are enthusiastic about people and things, but their persistence is poor, their attention is easily distracted, and they are easily discouraged in the face of failure. At the same time, some students are distracted in class, distracted, and the purpose of learning is not clear enough, which makes classroom teaching difficult to implement.
From the psychological characteristics, most students like to show themselves in front of others, like praise, and have a strong sense of competition in the class. Students with learning difficulties are passive, indifferent and not enthusiastic in class, and it is difficult to finish their homework, but they also like to be motivated.
4. The learning characteristics of top students and the causes of underachievers;
(1) There are very few excellent students. According to the usual quality inspection, only X students are truly stable in grades, flexible in thinking and able to analyze application problems carefully and correctly. They have a strong interest in mathematics learning, can better abide by the classroom routine of primary school students, can help each other, * * * discuss, cooperate with each other, have active thinking, speak boldly, argue boldly about controversial issues, be self-motivated, listen carefully in class, do their homework in time and seriously, and ask questions boldly if they don't understand, which may lead to a decline in academic performance. The parents of these students pay more attention to their academic performance, and most of them can and have the ability to cooperate with the teacher's teaching to give individual counseling to their students.
(2) The average student's ability to analyze and understand application problems is average, and his grades may decline. They study hard and have a good attitude towards their homework.
(3) Underachievers in the class are mostly due to poor mastery of basic knowledge, wide knowledge gap, poor self-discipline in learning, weak learning ability, poor acceptance, unclear learning purpose and lack of interest in learning. Some are single-parent families, and parents don't care, guide and supervise their children's learning enough. Some parents spoil their children too much and indulge them too much. Some bad study habits have affected his academic performance. The above reasons form a vicious circle, which makes them lose confidence and leads to the formation of underachievers. There are also several students who are mentally retarded and have poor acceptance.
(4) In the whole class, students' mastery of basic knowledge and ability is very different, such as calculation speed, ability to participate in group discussion and thinking ability to solve application problems. Although teachers try their best to pay attention to the individual differences of students in class, due to the large number of classes, the knowledge gap of individual students can not be bridged and the potential of top students can not be fully tapped, which is also one of the teaching difficulties to be solved this semester.
5. Other factors:
Most students come from rural areas. They love labor, are proactive and have a strong sense of collective honor. Most of the students come from poor families, and their parents' educational level is generally not high. Although they have the desire to make their children successful, their educational methods are improper and the cooperation between home and school is not enough. There is a misunderstanding about "reducing the burden and pushing the elements".
Second, teaching material analysis
This textbook is divided into seven units, namely, using letters to represent numbers, the law of multiplication, the understanding of angles and triangles, the meaning and nature of decimals, observing objects from different sides, addition and subtraction of decimals, statistics and so on.
1, alphanumeric
Let the students know why letters are introduced, understand and understand the meaning and function of using letters to represent numbers, and can use letters to represent common quantitative relations, and at the same time, they can conversely substitute numbers into formulas containing letters for calculation. Learn to use letters to represent the law of addition and additive commutative law. And will use the law of addition to make simple calculations. Through learning, we can cultivate students' substitution ability, improve students' awareness of simple calculation, cultivate students' spirit of independent thinking, overcome difficulties and have a good habit of carefully examining questions and writing.
2. Law of multiplication operation
On the basis of learning the addition rate, further study the associative law, multiplicative commutative law and multiplicative distribution law of multiplication. Cultivate the awareness of simplifying the complex, the ability to simplify the complex, and cultivate good study habits. Can flexibly use the multiplicative associative law, multiplicative commutative law and multiplicative distributive law to make simple calculations and solve practical problems.
3. Understanding of Angle and Triangle
On the basis of knowing angles, we can classify them, identify acute angles, right angles, obtuse angles, right angles and rounded corners, master the method of measuring angles with a protractor, draw angles with a specified degree with a protractor, know all kinds of triangles and master the sum of angles inside triangles. Understand the relationship between the three sides of a triangle, cultivate students' ability to operate flexibly and solve problems, make students realize that there are angles and triangles everywhere in life, and experience the connection between mathematics and life.
4. The meaning and nature of decimals
On the basis of understanding decimals, we should establish the concept of decimals, grasp the meaning and nature of decimals, understand the wide application of decimals in daily life, improve students' interest in learning and feel the close relationship between mathematics and life.
Step 5 observe objects
By learning this part of knowledge, students can observe the shape of objects from different directions with the help of physical objects and cube models, and develop their imagination on the basis of observation and cultivate their spatial concepts.
6. Addition and subtraction of decimals
On the basis of mastering the order of integer operation, further master the addition and subtraction of decimals and master simple addition and subtraction of decimals.
7. Statistics
Further study the methods of collecting, sorting and describing data, make simple judgments and predictions according to the results of data analysis, and understand the significance of the possibility of events.
Third, the teaching objectives
1, so that students can know the meaning and function of using letters to represent numbers, can use letters to represent common quantitative relations, and can express additive associative laws and commutative laws.
2. Understand and master the multiplicative associative law, multiplicative commutative law and multiplicative distributive law, and make good use of them at the same time, so as to really simplify the calculation.
3. Be able to accurately identify various triangles, master the sum of internal angles of triangles, and identify angles.
4. Understand the meaning and nature of decimals. Use the knowledge and methods learned to solve simple practical problems and deepen the understanding of the knowledge learned.
5. Be able to distinguish the shapes of objects and cubes seen from different directions, cultivate observation ability and comprehensive analysis ability, and improve spatial imagination.
6. Master the addition and subtraction of decimals and flexibly use different methods to solve simple problems in life.
7. Further study the methods of collecting, sorting and describing data, and make simple judgments and predictions according to the results of data analysis, and use the knowledge learned to solve simple practical problems.
Teaching focus:
Use letters to represent numbers, the law of multiplication, the understanding of diagonal and triangle, the meaning and nature of decimals.
Teaching difficulties:
The meaning and essence of decimals.
Fourth, teaching measures.
1. Strengthen the cultivation of students' autonomy and purposeful education, fully tap students' shallow ability and give full play to students' main role.
2. Enhance students' observation and practical ability, and cultivate students' spatial concept.
3. Strengthen the transformation of poor students and individual counseling to improve the performance of students with learning difficulties.
4. Ask more questions, create learning situations, boldly let students learn by themselves, solve problems and develop students' personality.
5, pay attention to strengthen the connection between mathematics and real life, so that students can solve mathematical problems in life, feel and understand mathematics.
6. Guide students to learn mathematics from life experience and feel that there is mathematics everywhere in life.
7. Strengthen intuitive demonstration and practical operation, and guide students to actively participate in the process of knowledge formation and feel the successful experience.
8. Guide students to reveal the relationship between knowledge and explore the law.
9. Stimulate students' interest in learning mathematics, pay attention to cultivating students' awareness and habits of autonomous learning, respect students' individual differences, encourage students to choose their own learning methods, and guide students to learn to learn in practice.
10, focusing on cultivating students' thinking flexibility and innovative consciousness.
1 1. Pay attention to guiding students to participate in group cooperative learning and cultivate students' awareness of cooperation and communication.
12, follow the laws of students' physical and mental development and mathematics learning, and choose teaching strategies.
Verb (abbreviation for verb) prepares teaching tools.
Triangles, protractors, moving angles, different types of paper triangle models, parallelogram teaching AIDS, sticks and cube models.
The second part: the teaching plan of the second volume of mathematics in the fourth grade of primary school.
In the fourth grade, individual students are active in thinking, smart and eager to learn, and have a strong interest in learning. However, due to the problem of basic knowledge, individual students have poor ability to accept and understand new knowledge, and their calculations are slow. A few students are lazy and have low enthusiasm for learning. From the aspects of discipline, students are all good, but there are also many problems, mainly manifested in: impetuous, lack of self-confidence, afraid to express themselves, only superficial, ignorant and so on. Teachers must give correct and powerful guidance, understand students' psychological characteristics, teach students in accordance with their aptitude, make each class colorful, let students accept knowledge in a pleasant atmosphere and truly become the masters of learning.
Second, teaching material analysis
This textbook is divided into seven units. The first is the understanding and addition and subtraction of decimals. The second is to understand graphics. The third is fractional multiplication. The fourth is the object of observation. The fifth is fractional division. Sixth, the game is fair. The seventh is the cognitive equation. The first unit, the third unit and the fifth unit belong to number and algebra. The second unit and the fourth unit belong to space and graphics. Unit 6 belongs to statistics and probability.
(a) Numbers and algebra
1. Unit 1: Understanding and Addition and Subtraction of Decimals
This unit is based on the study of "Yuan, Angle, Minute and Decimal" in the second volume of Grade Three, which expands students' understanding of decimals, initially connects decimals with fractions, and further understands the meaning of decimals. Combined with the specific situation, learn the mixed operation of decimal addition and subtraction and addition and subtraction, use decimal addition and subtraction to solve some problems in daily life, and feel the close connection between decimal and real life.
Unit 3: decimal multiplication
Combined with specific situations, let students understand the significance of decimal multiplication, experience the process of exploring the calculation method of decimal multiplication, master the calculation method of decimal multiplication, and use decimal multiplication to solve simple problems in life.
Unit 5: Decimal Division
This unit includes decimal division, approximation of product quotient, cyclic decimal, four decimal operations and so on. Combined with specific situations, let students experience the process of exploring the calculation method of fractional division and preliminarily experience the mathematical thought of reduction. Understand that sometimes in life, you only need to ask for the approximate value of the product quotient, master the method of finding the approximate value, and cultivate the consciousness of estimation. Have a preliminary understanding of cyclic decimals. Can use the four decimal operations to solve simple problems in daily life.
(b) space and graphics
1, understand the graph. Through classification activities, students can further understand the characteristics of triangles, parallelograms and trapezoid. Through the classification of triangles, we can understand the characteristics of various triangles. Through calculation, it is found that the sum of the degrees of the three angles of the triangle is equal to 180 degrees, and the sum of any two sides of the triangle is greater than the third side. Will use the learned graphics to design some simple patterns.
2. Observe objects. Through practical observation, students realize that observing the same scene in different places will produce different pictures. Can identify the corresponding photos taken from different positions and their sequence. Be able to identify the corresponding photos and sequences taken from the height and distance of the observation point.
(3) Statistics and probability
Fair game. Through the game, students can have a preliminary experience of the fairness of the rules of the game. Can design fair and simple rules of the game.
Third, the characteristics of teaching materials
1. Provide learning materials closely related to students' real life, so that students can better understand their mathematical knowledge with intuitive materials.
2. Create a situation to explore the laws of mathematics, so that students can unconsciously form the consciousness of exploring the laws of mathematics.
3. It reflects the diversity of problem-solving strategies, and every student can succeed in the design scheme.
4. Pay attention to cultivate and develop the concept of space in various activities.
5. Design distinctive comprehensive application activities. Make students consciously and comprehensively use all aspects of experience, knowledge and strategies.
6. Analyze the things around us from the perspective of mathematics, cultivate an understanding of the beauty of mathematics, show the history of mathematics development, and infiltrate the cultural value of mathematics.
Fourth, the main measures in teaching work
1. Understand students' original learning situation, proceed from reality, let students correct their learning attitude, encourage students more and improve their learning.
2. Make more use of spare time, check and fill gaps, solve problems, and give full play to the leading role of class cadres in poverty alleviation.
3. Keep close contact with parents and cooperate with parents to supervise learning.
4. Students who have spare capacity for learning can further improve and expand on the basis of mastering the basic knowledge they have learned. In teaching, students are guided to start thinking, solve problems independently and master scientific and flexible methods by combining some thinking topics practiced after class.
5. In-depth study of teaching materials, careful planning of teaching plans, optimization of classroom structure, giving full play to the leading role of teachers and students' main role, mobilizing students' enthusiasm and initiative in learning, cultivating students' habit of conscious learning and stimulating students' interest in learning. Strengthen practical operation, focus on teaching, give full play to students' concept of space, strengthen practical operation and intuitive teaching, give full play to the cultivation of students' space, cultivate students' ability of abstract concept, judgment, reasoning and migration, and cultivate students' flexibility and agility in thinking. Guide students to reveal the relationship between knowledge, explore laws, sum up laws, and let students learn spontaneously and creatively.
The third part: the teaching plan of the second volume of mathematics in the fourth grade of primary school.
There are xx students in Class Four (X). Generally speaking, good study habits have taken shape. Most students can finish their homework well and have a high interest in learning mathematics. However, the phenomenon of absent-mindedness still occurs from time to time in class and needs further training. Individual students have poor foundation and low enthusiasm for learning, which needs to be strengthened.
Second, the teaching content
This textbook includes four operations, position and direction, algorithm and simple calculation, the meaning and nature of decimal, triangle, addition and subtraction of decimal, wide angle of statistics and mathematics, etc. The meaning and nature of decimals, addition and subtraction of decimals, operation rules and simple calculations, and triangles are the key teaching contents of this book.
Third, the teaching objectives
1, understand the meaning and nature of decimals, experience the application of decimals in daily life, further develop the sense of numbers, master the law of decimal size change caused by decimal position movement, and master the addition and subtraction operation of decimals.
2. Master the operation order of elementary arithmetic and carry out simple integer elementary arithmetic. Explore and understand the operation rules of addition and multiplication, and use them to perform some simple operations to further improve the calculation ability.
3. Knowing the characteristics of triangles, we will classify triangles according to the characteristics of sides and angles, and know that the sum of any two sides of a triangle is greater than the third side, and the sum of the inner angles of the triangle is 180.
4. Initially master the method of determining the position of objects, and can determine the position of objects according to the direction and distance, and can draw a simple road map.
5. Understand the statistical chart of broken lines, understand its characteristics, initially learn to analyze the changing trend of data according to statistical charts and data, and further understand the role of statistics in real life.
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 solve problems by using mathematical knowledge comprehensively.
7. Understand the thinking method to solve the problem of planting trees, cultivate the consciousness of discovering mathematical problems from life, initially cultivate the ability to explore effective methods to solve problems, and initially form the ability of observation, analysis and reasoning.
8. Experience the fun of learning mathematics, improve the interest in learning mathematics, and build confidence in learning mathematics well.
9. Develop the good habit of working hard and writing neatly.
Fourth, the writing characteristics of teaching materials
1, improve the arrangement of four operations, reduce the learning difficulty and promote the improvement of students' thinking level.
2. Understand the teaching arrangement of decimals, pay attention to students' understanding of the meaning of decimals, and develop students' sense of numbers.
3. Provide rich teaching content of space and graphics, pay attention to practice and exploration, and promote the development of students' space concept.
4. Strengthen the teaching of statistical knowledge, so that students' statistical knowledge and concepts can be further improved.
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 in learning and inner motivation with the charm of mathematics and the harvest of learning.
Verb (abbreviation of verb) teaching measures
1. Strengthen purposeful education in learning, fully tap students' potential and give full play to students' main role.
2. Enhance students' practical ability and cultivate students' spatial concept.
3. Strengthen individual counseling to improve the performance of students with learning difficulties.
4. Create more learning scenes, boldly let students learn independently, solve problems and develop students' personality.
5, pay attention to strengthen the connection between mathematics and real life, so that students can solve mathematical problems in life, feel, experience and understand mathematics.
6. Pay more attention to and care for students with learning difficulties, and appropriately reduce the requirements for homework.
7. Practice makes perfect.
The fourth part: the teaching plan of the fourth grade of primary school mathematics 1. Analysis of students' situation
There are xx students in the class, all of whom are from rural areas or xx town. Students' interest in learning is not very high and their basic knowledge is not solid. Most students can acquire knowledge from existing knowledge and experience. The level of abstract thinking has developed to a certain extent, the basic knowledge is firmly grasped, and the students have certain mathematics learning ability.
Individual students have poor basic knowledge. Not interested in mathematics, passive in learning, not listening carefully in class, unable to finish homework on time, and having difficulties in learning, especially in the quantitative relationship analysis of application problems. There are also some students who are smart, but they don't study hard and their grades are not ideal.
Second, a brief analysis of teaching materials
This textbook includes mixed operations and application problems, four operations of integers and integers, calculation of quantities, meaning and properties of decimals, addition and subtraction of decimals, triangles, parallelograms and trapeziums, etc.
1, mixed operation and application problems
This unit further studies the mixed operation sequence of three-step problems, learns to use parentheses, and continues to learn to solve two-step application problems, which is easy to solve. Its characteristic is that the unknown quantity changes with the change of two quantities. At the same time, it is helpful to deepen the understanding of quantitative relations and to test each other by teaching the application problems of continuous multiplication and division together and strengthening the connection. Adding simple statistical content to this unit is also the trend of primary school mathematics textbook reform. Let students master some statistical thinking methods as soon as possible, which can improve their ability to apply what they have learned to solve practical problems.
Teaching emphasis: master elementary arithmetic sequence and parenthetical mixed operation sequence skillfully.
Teaching difficulty: learning elementary arithmetic order.
The key to teaching is to cultivate students' good study habits.
2, integer and integer four operations
It is to review, summarize, sort out and improve on the basis of what you have learned before. Firstly, the recognition range of integers is extended to hundreds of billions, and the counting methods of decimals are summarized, and then the significance and operation rules of four operations of integers are summarized, which lays a good foundation for learning decimals and fractions in the future.
Teaching emphasis: the significance and laws of the four operations and the relationship between them.
Teaching difficulties: using the operation law to perform simple operations, and applying the relationship between the parts of the four operations to find the unknown X.
Teaching emphasis: guide students to summarize the significance and laws of the four operations through examples, and apply the theoretical knowledge they have learned to the solution of practical problems.
3. Measurement of quantity
This part of the textbook is a systematic arrangement and summary of various commonly used units of measurement on the basis of students' study of various units of measurement. This part of the textbook first talks about the generation of measurement, then the commonly used units of measurement, and finally the rewriting of names and numbers. In short, there is not much new knowledge in this unit, and the teaching should focus on review and arrangement.
Teaching emphasis: further master the commonly used length, area, weight, time and inter-unit propulsion speed.
Teaching difficulties: understanding the unit of area, the enrollment rate and the rewriting of names.
The key to teaching is to attach importance to the intuitive representation of measurement units, so that students can further form a clear representation of the size of measurement units.
4. The meaning and nature of decimals
This part of the content is taught on the basis of students' mastery of four integer operations and preliminary understanding of learning scores. This part is the beginning for students to learn decimals systematically. It includes six parts: the meaning of decimal, the nature of decimal, the comparison of decimal size and the change of decimal size caused by the movement of decimal position.
Teaching emphasis: the meaning of decimal and the law of decimal change caused by decimal point movement.
Teaching difficulty: mutual rewriting of decimal and composite.
The key to teaching is to correctly understand the meaning of decimals and rewrite decimals and composite numbers.
5. Addition and subtraction of decimals
This part first teaches the meaning and calculation rules of decimal addition and subtraction, and then teaches the integer addition algorithm to be extended to decimals. Because of the close relationship between decimal addition and subtraction, the calculation rules are basically the same, and the problem of decimal point treatment is highlighted, so that students can quickly understand and master new calculation methods on the basis of what they have learned. This unit, like integer calculation, focuses on teaching students a variety of calculation methods and cultivating their flexible calculation ability.
Teaching emphasis: understand and master the calculation rules of decimal addition and subtraction.
Teaching difficulty: simple algorithm of decimal addition and subtraction.
Teaching emphasis: when learning the calculation rules of decimal addition and subtraction, it is emphasized that addition and subtraction can only be performed if the numbers on the same digit are aligned.
6, triangle, parallelogram and trapezoid
The textbook first introduces the concept and measurement of angle, and then the concepts of vertical and parallel appear. On this basis, the triangle is recognized and its characteristics are understood, and the triangle is preliminarily classified, and the conclusion that the sum of the internal angles of the triangle is equal to 180 is drawn. Then learn parallelogram, understand its characteristics and its relationship with squares and rectangles, and finally learn the characteristics of trapezoid, as well as its relationship and differences with parallelogram.
Teaching emphasis. Make students understand the concepts of straight line, line segment, ray and parallel line.
Teaching difficulties: distinguish the concepts of straight line, line segment and ray, vertical line and parallel line.
Teaching emphasis: in the teaching process, we should strengthen students' hands-on operation ability and improve their drawing ability.
Third, the teaching objectives of this semester
1, so that students can know natural numbers and integers, master the counting method of decimals, and read and write three-level multi-digits correctly according to the series of numbers.
2. Make students understand the meaning of four integer operations and master the relationship between addition, subtraction, multiplication and division.
3. Make students master the operation rules of addition and multiplication, and use them in some simple operations to further improve the oral calculation of integers.
4. Make students understand the meaning and nature of decimals, and skillfully perform written calculation and simple oral calculation of decimals.
5. Make students know the simple method of data arrangement and the simple statistical chart, and understand the meaning of the average, and they will find the simple average.
6. Make students further master the elementary arithmetic order, calculate the general three-step calculation problems more skillfully, and use brackets to solve some easy three-step calculation problems.
7. Enable students to solve some application problems of two-step calculation with slightly complicated quantitative relationship, solve some relatively easy application problems of three-step calculation, and learn the examination method initially.
8, combined with the relevant content, to further cultivate students' inspection habits, patriotism education and dialectical materialism education.
Fourth, the teaching measures of this semester
1. Strengthen purposeful education in learning, fully tap students' potential and give full play to students' main role.
2. Enhance students' practical ability and cultivate students' spatial concept.
3. Strengthen individual counseling to improve the performance of students with learning difficulties.
4. Create more learning situations, boldly let students learn independently, solve problems and develop students' personality.
5, pay attention to strengthen the connection between mathematics and real life, so that students can solve mathematical problems in life, feel, experience and understand mathematics.
6. Pay more attention to and care for students with learning difficulties, and appropriately reduce the requirements for homework.
7. Further cultivate students' cooperative consciousness and ability.