Program of Mathematical Practice Activities 1 I. Purpose of Activities:
Through mathematical practice activities, students can understand the close relationship between mathematics and nature, mathematics and human society, enhance their understanding of mathematics, enhance their confidence in applying mathematics, enable students to learn to observe, analyze and understand society by using mathematical thinking mode, and initially apply their learned mathematical knowledge to solve problems in daily life, thus cultivating students' spirit of exploration and innovation and making plans for mathematical practice activities.
Second, the principle of activities:
1. Discipline principle: Mathematical practice must closely focus on the application of mathematical knowledge and the content of mathematical textbooks;
2. Practical principle: Mathematical practice must be based on students' practical activities, and must be students' practical activities such as investigation, visit, interview, production and public welfare labor;
3. The principle of full participation: Mathematics practice should be an activity in which all students participate, and it is by no means an activity in which teachers or individual students demonstrate or some students operate, while other students watch the excitement and just talk but don't do it;
4. Applicability principle of knowledge: In mathematics practice, students should apply what they have learned, and teachers should dig out the factors closely related to real life in textbooks, so that students can observe society and solve practical problems in daily life by using mathematical thinking mode;
5. Explore the principle of innovation: Mathematics practice is that students practice independently with the help of teachers. Teachers don't have to limit the ideas, ways and methods to solve problems, so that students can fully use their brains, make bold attempts and try to complete tasks with new inventions;
6. The principle of diversity of activities: the diversity of mathematical practice activities includes the diversity of activity places: indoor, outdoor, in-class, extracurricular, on-campus or off-campus; There are many kinds of activities, such as visiting, thinking, making, observing, experimenting, investigating, discussing, reading, operating, competing and performing. Diversity of organizational forms: individual activities, group activities, class activities, etc.
Three. Activity content:
The teaching contents of the twelfth volume of primary school mathematics textbook include: percentage; Cylinders, cones and spheres; Simple statistics, sorting and review, etc. According to the teaching content of the textbook, the content of mathematics practice activities in the next semester of grade six is determined as follows:
1, according to the percentage of the teaching content of the textbook, carry out mathematical practice activities with the theme of "small banks". Through practical activities, students can understand the meaning and knowledge of saving. The activity time is in March, and the planning scheme "Mathematical Practice Activity Plan" is planned.
2. According to the knowledge of cylinders, cones and balls in textbooks, carry out mathematical practice activities with the theme of "doing one" and learn to use solid geometry knowledge to make cubes, cuboids, cylinders and cones. The activity time is in April.
3. According to the knowledge of simple statistics, carry out mathematical practice activities with the theme of "simple statistics", let students conduct social surveys, and use the statistical knowledge they have learned to make simple statistics on the survey data. The activity time is in May.
Fourth, the activity organization:
1. Divide the class into several groups according to the students' living range, and select the students with strong ability as the group leader. Group members should consider the performance of students in all aspects and put forward requirements for each group's activities.
The class teacher should get in touch with the community and units and get strong support from all walks of life; Or ask parents for help to facilitate students' activities.
2. The time of group activities is mainly in students' spare time, such as Saturday, Sunday and holidays. The activity mode is mainly group activities, or under the coordination of the group leader, the activities can be divided reasonably and dispersed.
3. Set the ten-minute party every Friday as the exchange and summary time of practical activities of each group. The head teacher should understand the activities of each group and make reasonable adjustments to the form and content of the activities in order to achieve effective regulation of students' practical activities; At the same time, each group leader should summarize the activities of the past week and put forward specific requirements for next week's activities.
Verb (short for verb) Activity steps:
1. Students are divided into groups to carry out social practice activities under the leadership of the group leader. The content of activities should be determined according to the theme of mathematical practice activities this semester. The specific activities of each month are as follows:
March:
Activity theme: "What TV programs do you like?"
The main contents of the survey are as follows: to know how much people around you like TV programs;
April:
Activity theme: "Do it"
Main contents of the activity:
(1) Collect cuboids, cubes, cartons, objects, etc.
(2) Cut the collected objects with scissors, and observe the shape of the unfolded surface of each object and the relationship between the dimensions of each part and the whole.
(3) Cartons Prepare cartons.
May:
Activity theme: simple statistics
The main contents of the survey:
(1) Investigate the medals won by China in recent Olympic Games;
(2) The number of boys and girls in all grades in our school;
(3) Under the organization of teachers, the height and weight of students in each group are actually measured, and the average height and weight of boys and girls in each group are calculated. And record the measurement data.
2. Under the specific guidance of the teacher, the materials of each group were screened and the contents that had little to do with mathematics knowledge were deleted.
3. On the basis of a large number of students' practical activities, all the students in the class took part in the mathematics practical activities class. (The activity time is not limited to 40 minutes. Complete the prepared activities. )
Mathematical practice activity plan 2 Activity content: Design fences and fences.
Applicable grade: Grade 4 or above.
Activity objectives:
(1) knowledge training point.
1. Calculation method of perimeter and area of rectangle and square.
2. Enable students to budget the required materials according to the significance and actual situation of multiplication and division.
(2) Ability training point.
1. Develop students' spatial concept in learning activities such as operation, observation and imagination.
2. Cultivate students' awareness and ability of comprehensively applying knowledge to solve practical problems.
3. Cultivate students' awareness and ability of multi-angle thinking, and cultivate students' awareness of optimization.
4. Cultivate students' innovative spirit and practical ability.
(3) moral education training points.
Cultivate students' cooperative consciousness and ability.
Activity preparation: The teacher prepares a set of multimedia software.
Each group of students prepares models of houses, fences (detachable) and doors.
Activity flow:
First, create situations and ask questions.
1. Teacher's narrator: Xiao Qiang's grandmother has recently built a new house. (The screen shows the house) The new house covers a rectangular area, with a length of 15m and a width of 5m.
These days, Xiao Qiang's grandmother is thinking about building a fence. She wants to enclose a rectangle 20 meters long and 10 meters wide. Even bought the iron gate on the fence. The iron gate is 2 meters wide. However, she hasn't figured out how to build a fence yet. Students, today we are all going to be "little designers" to help Xiao Qiang's grandmother come up with ideas, ok?
2. Let the students speak fully. Then the teacher summed up: affirm the rationalization suggestions put forward by the students, and point out that today's class focuses on the location of the fence.
Second, collaborative discussion and exploration methods
1. Group activities.
Distribute models of houses, fences (detachable) and doors to each group, and let students cooperate with each other to design the position of fences.
2. Panel report.
Each group sends a representative to the stage to demonstrate and explain their own design scheme. According to the student's demonstration, display the physical diagram on the computer and abstract the plane diagram.
It is estimated that there may be the following schemes (the shaded part indicates the house and the thick line indicates the iron gate):
3. In-depth study.
Guess.
Ask the students to guess which scheme Xiao Qiang's grandmother will choose, and give a preliminary explanation. (Encourage students to think from various angles)
(2) calculation.
A. Q: How do we estimate how many bricks are needed to build the fence?
If it takes 200 bricks to build a fence with a length of 1 meter (show the physical map), can you figure out how many bricks are needed to build a fence designed by yourself? What about the enclosed open space area? (Show the following table: fence length. The number of bricks needed and the data of closed open space area are temporarily empty and need to be filled in)
B. students are divided into groups.
C. reporting. According to the student's report, the teacher gradually shows the completion of the following table:
(3) think about it.
Question: Look at the calculated data. What are you going to say?
Focus on thinking:
A. What are the most economical materials? Why? (After the answer, the corresponding part in the table flashes)
B. what kind of map shows the largest open space area? Why? (After the answer, the corresponding part in the table flashes)
After the students fully expressed their opinions, the teacher made a brief summary.
Third, apply what you have learned and solve problems.
1. Show me the problem.
2. Independent design.
3. Report the discussion.
(1) call the students to report, and the teacher will show the floor plan according to the students' report:
(2) Discussion: Which is the most material-saving? Why?
Obtained the second economic material. (Blink both sides of the fence in the second schematic diagram, and delete Figure ①)
4. Budget materials.
(1) Give the condition: If thin bamboo poles are used as fences and inserted every 5 cm, how many thin bamboo poles are needed to enclose this vegetable field?
(2) Students' calculation (free to discuss if there are difficulties).
(3) Student Report: (The computer is displayed next to the schematic diagram)
The area of a square is 4 square meters, which means the side length is 2 meters.
Fence length: 2x2=4 (m) = 400 cm.
Number of bamboo poles: ①400÷5=80 (roots)
②400÷5-l=79 (root)
(4) Discussion: Should we "subtract 1"? Why "subtract 1"?
The computer simulated the process of inserting bamboo poles: flash a 5 cm long edge, insert a bamboo pole (accompanied by the sound of "Ding Dong"), (after inserting four bamboo poles in this way, the middle process is omitted until the last two are 5 cm) flash the penultimate 5 cm, insert a bamboo pole and flash the last 5 cm. Q: Do you need to insert another bamboo pole? Why? The flashing fence means that the last bamboo pole can be omitted, so it should be "negative 1". (Delete the first item)
Fourth, summary method, activity summary
1. Summary method.
2. Select "excellent designers" and let them tell Xiao Qiang's grandmother about their research results after class.
Activity hypothesis
At present, there is a common phenomenon among students, that is, although "two basics" are solid, their practical application ability is poor. This scheme selects the common example of "building a fence and enclosing a fence" in life. Starting from cultivating students' mathematical consciousness, while improving students' practical ability, we strive to do the following:
1. Focus on students as the main body and face all students.
From "creating situations and asking questions"-"collaborative discussion and exploring methods"-"applying what you have learned and solving problems"-"summing up methods and carrying out activities", students are always placed in the position of "activity subject" to create a classroom environment in which students actively participate and learn. Through group activities, class discussions, independent design and other forms, it provides a stage for each student to display their talents, which fully embodies the integrity and autonomy of student activities.
2. Pay attention to cultivating students' innovative consciousness.
Guide students to make bold guesses from different sides and angles, put forward reasonable and unique methods to solve problems, reflect the openness of activities and cultivate students' innovative consciousness. For example, the design of the fence, from the design scheme to the selection scheme, pays attention to let students fully express their opinions, thus reflecting the openness of classroom teaching.
3. Pay attention to the cultivation of students' sense of cooperation.
When designing fences, group activities and group discussions are adopted. When compiling fence materials, students can solve problems through free discussion, cultivate students' awareness and ability of unity and cooperation, and thus enhance their practical ability.
4. Pay attention to cultivating students' practical ability.
It is an important way to learn and consolidate all kinds of knowledge. In teaching, we should try our best to dig out the contents related to real life in the textbooks, so that students can do, test, test and use them, so that they can observe and analyze the real society with mathematical thinking in middle school. Solve problems in daily life, and then cultivate children's application ability.
Mathematical Practice Activity Plan 3 Activities and Tasks:
1. Measure the circumference of the frustum.
2. Find out what has been placed according to the location.
3. Design the platform with the acquired items.
Activity objectives:
1. Students can use the given tools and try to measure the circumference of the central truncated cone in different ways.
2. Students can use their knowledge to judge the direction on the spot and find out the preset items according to the given orientation description.
3. After searching for the article, students can design square seats and tables according to their own aesthetic standards and the setting of the article, so as to be beautiful and generous.
4. In the activities, students can actively discuss, cooperate in groups and exercise their cooperation ability.
Activity Form: This activity is divided into four groups: Bonus, Yellow, Blue and Green, which are conducted in the form of group cooperation, and the group is used as a unit to evaluate and coordinate the progress.
Activity arrangement:
1. Actual measurement: According to the tools provided (rope, tape measure, protractor), the division of labor within the group is reasonable, and different measurement methods can be adopted to compare who can finish the task within the specified time.
2. Treasure exploration in the square: according to the preset orientation, the "treasure" (decorations needed for designing the podium) is buried in different orientations with different colors. Each group will describe the position in their hands and find out the baby corresponding to their own color. You can't take the treasures of other groups, and see which group takes the least time to win.
3. Little designer: According to the discovered treasure, discuss in groups and design the layout of the podium in the square. The layout should be reasonable, beautiful and generous, and the time should be less. Designers who can clearly express their own group will win.
Activity evaluation: As a group, every time you win an activity, you get a star. After all the activities are completed, which group gets the most stars and which group finally wins, and gets the title of "small expert in practice".
Activity focus: Complete the actual operation according to the tools provided.
Preparation of activity tools: stopwatch, tape measure, rope, protractor, and students should bring their own small protractor.
Activity flow:
Students, today we gather in Yingtaogou Square for practical activities. This is a rare opportunity. In this activity, we will complete the task of breaking through the three customs. I hope the students can actively use their brains to finish the task.
I. Introduction of activities
After gathering the students, the teacher explained the main purpose, rules and evaluation methods of the activity, and divided the students into groups. For the convenience of organization, each group elects a team leader and a recorder. Each group should agree on its own name and slogan.
Du: Organize students to divide into groups, distribute group labels and select group leaders.
Wang: Explain the activity rules of each link of this activity, and distribute the activity schedule and records.
Second, the actual operation
(1) Field measurement
Students receive the tools assigned by "field measurement" in groups. Under the leadership of the team leader, after the measurement scheme is agreed within the group (lasting for 2 minutes), each group conducts field measurement in a decentralized manner for 5 minutes. The person who finishes the task in 5 minutes will be faster than the first one. If the certification amount is accurate, the winner will get a star.
Du: Pay attention to students' measurement in activities.
Wang: Pay attention to the activity time.
Teachers should pay attention to the measurement methods adopted by students in this activity, and summarize the problems and highlights after the activity.
Teacher Du: Summarize this lesson.
Wang: Announce the achievements of this link and guide the activities of the next link.
(2) treasure hunt in the square
According to the order of the completion of the first level, the treasure hunt began in the second level square. The teacher should keep a good record of the time. Students should divide the works into groups according to the orientation description map, who can quickly and accurately find out the treasures belonging to their groups.
Du and Wang: Distribute the orientation map.
Teachers should pay attention to students' activities, especially the division of labor and cooperation within the group, give positive comments to the group with good cooperation effect, analyze the division of labor methods they adopt, and let students understand the value of cooperation.
Wang: Summarize the performance of middle school students in this activity.
Du: Announce the results of this activity.
Third, small designers.
After completing the treasure hunt in the square, each group went to the teacher to collect each group of exhibition boards, discuss in groups, design independently, and complete the layout design of the rostrum.
After the design, the spokespersons of each group will explain and introduce the design of this group.
Four. Activity summary
According to the completion of the three customs, evaluate the activities of each group, highlight the advantages of each group, judge the best group of this activity, and award it the title of "small expert in practice"
Teacher Du: Make a general evaluation of this activity.
Miss Wang: Announce the final result of the activity.
Program of Mathematical Practice Activities 4 I. Guiding ideology:
Mathematics is a discipline that studies quantitative relations and spatial graphics, which is basic and humanistic. Mathematics is a bright pearl in the sea of knowledge, which helps to enlighten wisdom, develop intelligence, cultivate innovative consciousness and improve practical ability. "I am a little math fan" math festival aims to cultivate students' interest in learning math, improve their basic ability in math, make students feel that there is math everywhere in their lives, learn to care about the environment and society from the perspective of math, acquire and discover new knowledge, and make students realize their sense of accomplishment in math learning, thus enhancing their confidence and interest in learning math.
Second, the purpose of the activity:
1. Improve students' ability to solve practical problems through various forms of training.
2. Cultivate students' ability to create and appreciate beauty by designing handwritten newspapers and other practical activities.
3. The evaluation of mathematical papers will encourage students to observe life from a mathematical perspective, learn to study problems with rational thinking, and then show the mathematical talent of society and experience the value of mathematics.
4. Through colorful activities, let students fully feel the charm of mathematics, personally experience the role of mathematics in the process of growth, further stimulate the enthusiasm of loving mathematics, learning mathematics and using mathematics, and form a good mathematics learning atmosphere on campus.
Third, the activity time:
XX. 10——XX. 1 1
Four. Participants:
All the students and math teachers
Verb (abbreviation of verb) activity arrangement:
1. Extracurricular books
Reading mathematicians' stories and absorbing mathematicians' wisdom and tireless spirit of struggle will make students fall in love with mathematics and gradually form a rational spirit. Read the books of mathematicians or popular science writers, such as, Tan, etc., so that students can learn mathematical thinking and infiltrate some basic mathematical thinking methods. Then, on the basis of students' full reading, a reading exchange meeting was held.
2. Handwritten newspapers
Teachers should first give guidance in content selection and layout design; Then whether the handwritten newspaper is designed by group cooperation or individual independence; Secondly, after the students finished speaking, the teachers organized exhibitions and comments, and awarded the first prize (2 people), the second prize (3 people) and the third prize (5 people); Finally, choose the most exquisite handwritten newspaper for posting and display.
3. A short essay
Let the students pay attention to the math problems around them, pay attention to the solution of a problem, realize the diversity of solution schemes, and write a math diary. Teachers modify, process and polish students' original works, so that students can write a second composition and form a more successful composition. 5 to 10 mathematical papers are due in each class to form a brochure of the future stars of mathematics.
4. A small game
We use students' "active" and "competitive" psychology, combined with the content of this semester's mathematics study, to design some practical problems in life situations, to stimulate students' interest in solving practical problems, and to encourage every student to actively participate.
According to the students' comprehensive performance in four aspects, "XX Ming Dow Mathematics Star" was selected to issue certificates and bonuses.
Scheme of Mathematical Practice Activities 5 I. Activity Background:
Mathematics is a fascinating science. It needs a calm brain, active thinking, careful analysis and clever assumptions to reveal its true face step by step. In order to increase the first-grade children's understanding of mathematical knowledge, improve their interest in learning mathematical knowledge and strengthen their understanding and love of mathematical culture. In order to stimulate their desire to explore, based on this background, we used the winter vacation to organize students to carry out practical activities entitled "Mathematical Culture".
Second, the purpose of the activity:
1. Increase the first-grade children's understanding of mathematics knowledge and interest in learning.
2. Let students feel the fun of learning mathematics and stimulate their research consciousness and ability.
Third, the content of the actual work:
Find, collect and sort out some stories about mathematics culture and mathematicians related to first-year mathematics knowledge on the Internet, and carefully extract them on A4 paper. Such as: plus sign, minus sign and equal sign; Greater than sign and less than sign; Mathematicians such as the origin of mathematics, the story of mathematical culture or the number of knots in ancient China.
Fourth, homework requirements: a copy of mathematics culture.
Specific requirements:
1.A4 homework paper, surrounded by frames 1 cm, designed with decorative patterns.
2. Carefully conceived, carefully designed and rich in content.
3. Exquisite illustrations and elaborate writing.
At the beginning of the semester, the homework will be evaluated by the department.
Mathematical Practice Activity Scheme 6 Chen Shibin Since the math activity class was carried out as a new class type in teaching, the advantages of the activity class have gradually emerged. Practice has proved that through activity classes, students can be trained to use flexibly, cultivate their interest in mathematics, broaden their thinking, induce their intelligence, and give full play to their personality, psychology, specialty and ability. However, there are still many problems in the development of activity classes. In order to implement activity classes, truly show the charm of activity classes, let students study, play and cooperate in middle schools, broaden their horizons, experience the value of mathematics, enhance their feelings for mathematics, form a sense of solving problems in mathematics, and further cultivate interests, hobbies and innovative talents. The plan for this math activity class is as follows:
First, the student situation analysis:
Through understanding, the second-grade students have acquired some preliminary observation, understanding and analysis abilities after studying in the whole school year of the first grade. However, because students are young, active and inattentive, it is very necessary to carry out activity classes. The famous educator Suhomlinski once said that "children's wisdom is at your fingertips". I think it is more suitable for junior primary school students. Therefore, in this activity class teaching, we should pay special attention to cultivating students' various abilities imperceptibly, gain more experience in exploring knowledge, and lay a good foundation for future study.
Second, the activity content:
Activities should complement other disciplines in the implementation and development of education. This activity class will take questioning and thinking after class as part of the activity class according to the age characteristics of students and the content of teaching materials, and arrange appropriate practical activities related to the teaching content, so that students can improve their abilities of observation, operation, experiment, guess, reasoning and communication in an all-round way through independent inquiry and group cooperation.
Three. Activity objectives:
1. Through the organization and development of activity classes, students are equipped with preliminary calculation skills, logical thinking ability and spatial concepts, as well as the ability to solve some simple practical problems by using the learned mathematical knowledge.
2. Cultivate students' interests and hobbies in learning mathematics.
3. Expand the vision of mathematics and broaden the field of knowledge.
4. Cultivate good thinking quality and reasonable thinking habits.
5. Develop personal advantages and stimulate potential functions.
6. Cultivate sentiment and develop good thinking habits and study habits.
Fourth, arrange the activities of observing objects to deepen the understanding and mastery of "symmetry". I will design patterns to appreciate, design patterns to guess and learn simple reasoning knowledge. Fifth, the methods and measures of activity classes:
1. Math game class: By roaming the math kingdom, guessing numbers puzzles, playing math poker, opening a math clinic, swimming the wisdom maze, "passing passwords", "finding friends", "sending letters by postman" and "finding homes for small animals", teachers and students can * * * collect interesting questions and play games together, which can not only cultivate students' interest, thinking ability and language expression ability.
2. Thinking training class: Students not only exercise the flexibility and profundity of students' thinking, but also induce students' innovative thinking through independent activities such as quick calculation and skillful calculation, multiple solutions to one problem, changeable problems, discovering laws, geometric figure transformation and recognition, testing your judgment, and open-ended topic training, so that students' enthusiasm and creativity in learning can be maintained and developed.
3. Competition activity class: According to the competitive characteristics of students, hold competitions such as "See who learns correctly and quickly", "See who puts it correctly and skillfully", "Win the Red Flag", "Men's and Women's Competition", "Team Competition" and "Little Expert". Cultivate students' ability to participate in competition from an early age, not afraid of competition, and learn to compete.
4. Practical application class: arrange practical activities to let students experience the close connection between mathematics and daily life. Such as social investigation, special interview, actual measurement, throwing, skipping, running, kicking, publishing newspapers, etc. These special practical activities enable students to gradually learn to observe and understand things around them from a mathematical point of view, so as to cultivate and develop their mathematical ability, their awareness of mathematical application and their awareness of cooperation and communication with others.
5. Hands-on operation class: Use activity class to guide students to make intuitive learning tools, so that students can swing, fold, divide, weigh, measure, touch, count, paint and spell, and let students use their hands and brains, which can not only consolidate and apply knowledge, but also improve their hands-on operation ability, stimulate interest, and enable students to actively participate in learning and develop their abilities.