The objectives and requirements of the second volume of mathematics teaching in the fourth grade of primary school are

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 elementary arithmetic's operation order and perform 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 internal angles of the triangle is 180 degrees.

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 of planting trees, form the consciousness of discovering mathematical problems from life, 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.

Unit 1 Lesson 1: Teaching content: P4/ example 1, example 2 (only mixed operation of the same level operation)

Teaching goal: to enable students to further master the same operation order as the operation level. Let students experience the process of exploring, communicating and solving practical problems, and feel some strategies and methods to solve problems.

Teaching content: P6/ Example 3 P 10/ Example 4 (including two-level operation or mixed operation with brackets)

Teaching goal: through two levels of operation, students can further master the operation order. Learn to solve some practical problems with two-step calculation method.

The third lesson: teaching content: P 1 1/ Example 5 (strengthening the role of brackets), inductive operation sequence.

Teaching objectives; Enable students to further master the operation sequence of two-level operation and correctly calculate the three-step problem. Strengthen the role of brackets in students' minds. Summarize the order of elementary arithmetic in the exercise.

The fourth class: teaching content: P 13/ Example 6(0 operation)

Teaching purpose: to make students master the problems that should be paid attention to in the operation of 0. Emphasis and difficulty in teaching: 0 can't be divided into reasons.

The position and direction of the second unit

The first class: teaching objectives:

Through specific activities, understand the role of direction and distance in determining position. The position of an object can be determined according to any direction and distance. Develop students' concept of space.

Teaching emphasis: the position of an object can be determined according to any direction and distance. Teaching difficulties: accurate description of any angle and specific direction.

The second class: teaching goal: to be able to draw a schematic plan, and let students know how to mark the position of objects on the plan according to the direction and distance through the process of making the plan. Cultivate students' hands-on operation ability by drawing the scheme.

The third class: teaching objectives: 1. Through teaching, students can judge the direction with different places as observation points. On the basis of students' learning to determine any direction, students can understand the relativity of positional relationship. "Do one thing" presents the activity situation of two students cooperating to judge each other's direction, so that students can further understand the relativity of positional relationship.

Teaching emphasis: Why there are two ways to describe the location relationship between two cities.

Teaching difficulty: make students further understand the relativity of position and orientation.

The fourth category: the existing foundation: 1, which can determine the position of the object according to the two conditions of direction and distance. 2, according to the direction and distance, draw the position of the object on the map. I have been able to understand the relativity of positional relationship.

Teaching goal: 1, can describe a simple road map in language. 2. Be able to draw a simple road map in cooperation and exchange.

3. Experience the wide application of road map in real life.

Teaching focus:

The observation points are constantly changing when experiencing directional movement walking. Teaching difficulties:

According to the change of observation point, the position of the object observed by the direction sign is re-determined.

Third unit

The first lesson: teaching content: P28/ Example 1 (additive commutative law) P29/ Example 2 (Addition Law).

Teaching objective: 1. Guide students to explore and understand additive commutative law and the law of association. 2. Cultivate students' awareness and ability to choose algorithms according to specific conditions, and develop the flexibility of thinking.

Lesson 2: Teaching Content: P30/ Example 3 (Application of Addition Law)

Teaching objective: 1. Able to use algorithms to perform some simple operations.

Lesson 4: Teaching Content: P34/ Example 1 (Multiplication method of substitution) Example 2 (Multiplication Combination Method)

Teaching objective: 1. Guide students to explore and understand multiplication, commutative law and associative law, and can use the algorithm to do some simple operations.

Lesson 6: Teaching Content: P36/ Example 3 (Multiplication and Division)

Teaching purpose: 1. Guide students to explore and understand multiplication and division.

Teaching emphasis: the significance and application of multiplication and division. Teaching difficulty: the reaction of multiplication and distribution law.

The seventh class: teaching content: the application of multiplication and distribution law Teaching purpose: 1. Guide students to do some simple operations with the laws of multiplication and distribution.

Lesson 9: Teaching Content: P39/ Example 1 (Subtraction) P43/ Example 3 (Division)

Teaching objective: 1. Knowing that a number is continuously subtracted or divided by two numbers can be changed into subtracting the sum of two numbers or dividing by the product of two numbers.

Teaching emphasis: guide students to explore and understand that a number can be continuously subtracted or divided by two numbers, and the sum of two numbers can be subtracted or the product of two numbers can be divided.

Teaching difficulties: students can explore that a number is divided by two numbers continuously, and can be changed into the product of two numbers.

Lesson 10: Teaching Content: P40/ Example 2 (Practical Problems of Comprehensive Application of Alkali Calculation)

Teaching goal: to cultivate students' ability to solve practical problems flexibly.

Lesson 11: Teaching Content: P44/ Example 4 (Simple Calculation of Multiplication of Two Numbers)

Teaching objective: 1. Make students understand and master a simple algorithm of multiplying a number by two digits to become two consecutive numbers. 2. Cultivate students' ability of analysis, judgment and reasoning, and enhance their awareness of choosing the best algorithm.

Teaching emphasis: calculation of simple algorithm. Teaching difficulty: the method of changing a two-digit number into two suitable one-digit numbers.

Lesson 12: Teaching Content: P45/ Example 5 (Simple Calculation in Multiplication and Addition)

Teaching objective: 1. Further familiarize students with simple calculation methods. 2. Be able to skillfully use simple methods to solve practical problems.

Unit 4 Significance and Properties of Decimals

Generation and significance of decimals Teaching purpose: (1) Knowledge: 1. Let students understand the generation of decimals. 2. Let students understand the meaning of decimals. 3. Master the decimal calculation unit and the ratio between units.

Teaching emphasis: understanding and abstracting the meaning of decimals. Teaching difficulty: the meaning of abstract decimals.

The purpose of decimal reading and writing teaching is to enable students to read and write decimals and further understand the meaning of decimals. Teaching emphasis: let students read and write decimals.

Analysis on the nature of decimals: The nature of decimals is the basis for calculating the four decimal places. According to the nature of decimals, we can simplify decimals, or add one or more "0" at the end of decimals without changing the size of decimals, or rewrite integers into decimals. In teaching, we should help students understand and master the essence of decimals through a series of thinking activities such as comparison, discrimination, abstraction and generalization.

Teaching purpose: 1 Using the transfer law, students can gradually transition from thinking in images to thinking in abstractions. Through intuitive reasoning, independent inquiry and cooperative communication, students can understand and master the essence of decimals and improve their ability to judge and reason with knowledge.

Teaching emphasis: mastering the meaning of decimal nature Teaching difficulty: the process of decimal nature induction

The teaching goal of decimal size comparison: 1. Combined with the specific situation of "shopping around", experience the process of comparing decimal sizes and communicating with peers. 2. Experiencing the diversity of strategies for comparing decimals will make it easier to compare decimals and develop a sense of numbers.

Teaching purpose: 1, through exploration and understanding, enable students to master the changing law of decimal size caused by decimal position movement.

Teaching emphasis: master the law of decimal size change caused by decimal position movement.

Teaching difficulty: understanding the law of decimal size change caused by decimal position movement.

The purpose of decimal teaching in life is 1. In order to let students understand what is imaginary, singular and composite, they will rewrite the names of high-level units into the names of low-level units, and rewrite the names of low-level units into high-level names.

Teaching emphasis: Names and numbers will be rewritten. Teaching difficulty: names and numbers will be rewritten.

Find the divisor of a decimal 1 Teaching purpose: 1, so that students can reserve a certain number of decimal places as required and find the divisor of a decimal. 2. Cultivate students' analogical ability,

Teaching emphasis: correctly calculate the approximate value of a decimal. Teaching difficulty: how to get an approximate value of a decimal accurately?

Find a decimal divisor 2 Teaching purpose: 1. Make students master rewriting an integer that is not 10,000 or 100 million into a number with 10,000 or 100 million as the unit, and keep a certain number of decimal places as required.

Teaching emphasis: master how to rewrite an integer that is not 10 thousand or 100 million into a number with 10 thousand or 100 million as the unit.

Teaching difficulties: keep a certain number of decimal places as required.

Five elements triangle

Teaching purpose of triangle understanding: 1 Make students understand the meaning of triangle and master its characteristics. Experience the practical activities of measuring the length of triangle and understand the unequal relationship among the three sides of triangle. Let students establish the concept that geometry knowledge comes from objective reality and is used in practice.

Teaching emphasis: mastering the characteristics of triangle

Teaching difficulties; Know how to judge whether the three lines of a triangle can form a triangle and can be used to solve related problems;

Teaching purpose of triangle classification: 1. By hands-on operation, triangles will be classified according to the characteristics of corners and sides. 2. Cultivate students' hands-on brain and analytical reasoning ability.

Teaching emphasis: triangles will be classified according to the characteristics of corners and sides. Teaching difficulty: triangles are classified according to the characteristics of corners and sides.

The internal angle of the triangle and the teaching requirement are 1. Through hands-on operation, let students understand and master the conclusion that the sum of the internal angles of the triangle is 180. 2. The rule that the sum of internal angles of a triangle is 180 can be used to find the degree of unknown angles in a triangle.

Teaching emphasis: The sum of the internal angles of a triangle is the law of 180. Teaching difficulties enable students to understand the rule that the sum of the internal angles of a triangle is 180.

Six-unit statistics

Teaching purpose of broken line statistical chart: 1. Guide students to explore the characteristics and production methods of broken-line statistical charts independently. 2. Read the statistical chart of broken lines, then make statistics, make simple judgments and predictions according to the results, and solve some practical problems. 3, through the active participation of students, let students experience the role of broken line statistical chart.

Teaching emphasis: master the characteristics and production methods of broken line statistical chart. Teaching difficulties: experience the production process and develop statistical concepts.

Unit 6 Addition and Subtraction of Decimals

Teaching requirements of the first class: make students understand and master the method of decimal addition and subtraction. Cultivate students' computing ability.

Teaching emphasis: calculation method. Teaching difficulty: abdication subtraction.

Teaching requirements of the second class: consolidate the law of decimal addition and subtraction, the relationship between decimal addition and subtraction, and master the application of decimal addition and subtraction. Improve the ability to solve problems.

Teaching emphasis: the law of decimal addition and subtraction and the relationship between addition and subtraction. Teaching difficulty: accurate calculation by law.

The teaching purpose of the third lesson is to enable students to master the operation order of decimal elementary arithmetic and correctly calculate the mixed operation of decimal addition and subtraction. Further cultivate students' computing ability in teaching. Teaching emphasis: master the decimal elementary arithmetic order.

Teaching requirements of the fourth class: on the basis of mastering decimal addition and subtraction, learn the simple calculation of decimal addition and subtraction.

Teaching emphasis: judging whether decimal addition and subtraction can be simplified. Teaching difficulty: correct simple calculation.

Unit 7 Statistics

Teaching objective of the first lesson: 1. Let students know the broken-line statistical chart on the basis of bar statistical chart, further understand the application of statistics in real life, and realize the close relationship between mathematics and real life; 2. Make students understand the characteristics of the broken-line statistical chart, read the broken-line statistical chart, and make reasonable analysis according to the data, so as to cultivate students' cooperative consciousness and practical ability.

Teaching objective of the second class: 1. Let students further experience the application of broken-line statistical chart in real life on the basis of broken-line statistical chart; 2. Enable students to make a reasonable analysis according to the data and make a statistical chart of broken lines, so as to cultivate students' practical ability.

First, the guiding ideology:

The second volume of the fourth grade mathematics textbook is based on the basic idea and the prescribed teaching content of the Mathematics Curriculum Standard for Full-time Compulsory Education (Experimental Draft), and is compiled on the basis of summarizing the research and application experience of the current nine-year compulsory education primary school mathematics textbook. On the one hand, the editor tries to embody the new concept of teaching materials, teaching and learning, and at the same time pays attention to the feasibility of the measures taken. Make the experimental teaching materials innovative, practical and open. On the other hand, paying attention to the relationship between inheritance and development not only embodies the new concept of mathematics education reform, but also maintains the fine tradition of mathematics education in China, making the teaching materials basic, rich and developmental.

Second, the analysis of learning situation:

There are still some unfavorable factors for students to master knowledge. A small number of students can pass the unit knowledge because of the disjointed knowledge, but their comprehensive ability is poor. Their understanding of conceptual theoretical knowledge is too superficial and their application of knowledge is not flexible enough. Some students have impetuous learning attitude and poor computing ability, which needs to be further improved. Their ability to analyze application problems is ok, and some students need to continue to give guidance. As far as students' habits are concerned, some students have not developed good study habits. Many study habits need to be improved, such as carelessness, forgetfulness, copying wrong numbers and not using a ruler; There are also some students who lack self-confidence.

Third, teaching material analysis:

This textbook includes: the meaning and nature of decimals, addition and subtraction of decimals, four operations, algorithms and simple calculations, triangles, positions and directions, broken-line statistical charts, mathematical wide-angle and comprehensive application activities of mathematics. Among them, 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 textbook. Characteristics of textbook compilation

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 and inner motivation with the charm of mathematics and the harvest of learning.

Fourth, the teaching objectives:

1. Understand the meaning and nature of decimals, understand 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 sum of the third side and the inner angle 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. Know the broken-line statistical chart, understand its characteristics, initially learn to analyze the changing trend of data according to the statistical chart and data, and further understand the role of statistics in real life.

6. 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.

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.

Five, the teaching focus and difficulty:

1, the meaning and nature of decimals, understand 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. Mastering the operation sequence of elementary arithmetic, you can do simple integer elementary arithmetic, explore and understand the operation rules of addition and multiplication, and use them to do some simple operations to further improve your computing ability.

3. Knowing the characteristics of triangles, we classify triangles according to their corner features. We know that the sum of any two sides of a triangle is greater than the third side, and the sum of the internal angles of the triangle is 180 degrees.

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 draw a simple road map.

8. Experience the fun, interest and confidence of learning math well.

9. Develop the good habit of working hard and writing neatly.

10, in the comprehensive application, can use the knowledge to solve practical problems.

1 1, actually. Understand the steps and methods of analyzing and studying problems.

Six, teaching measures:

1, go deep into the textbook, prepare lessons carefully, make unit plans, and prepare lessons one week in advance.

2. Pay attention to the connection between old and new knowledge and develop students' thinking ability.

3. Grasp the key points, difficulties and breakthroughs in all aspects.

4. Pay attention to students' intellectual development, do a good job in quality education, cultivate good study habits and attach importance to the use of 40 minutes in class, which greatly improves the teaching effect.

5. Set strict standards for students, teach students scientific learning methods, make full use of textbooks to master the relationship between examples and exercises, draw inferences from others, learn flexibly, and really learn knowledge.

6, carefully designed homework, hierarchical, pay attention to purpose, scientific.

7, do a good job in the transformation of underachievers, patient counseling, teaching students in accordance with their aptitude.

Seven, teaching schedule:

Four operations -8 class hours.

Position and direction -6 class hours.

Algorithm and Simple Operation-14 class hours

The meaning and nature of decimal-18 class hours.

Triangle -8 class hours.

Decimal addition and subtraction-10 class hour.

Statistics -4 hours.

Mathematics wide angle -4 class hours.

General review-lesson 4.