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How to effectively carry out practice and comprehensive application teaching
1. Focus on creating situations and experiencing learning fun. "Students' mathematics learning activities should be a lively, proactive and personalized process. "In the teaching of" Practice and Comprehensive Application ",it is necessary to closely connect with students' real life, create vivid and interesting mathematical activity situations, and let students be in a happy life scene with great interest. This can not only help students solve mathematical problems, but also make them learn something and apply what they have learned, thus stimulating their enthusiasm for learning mathematics and cultivating their mathematical thinking ability. For example, organize students to go to the store to observe the shopping situation, and then return to the classroom to carry out the shopping game "Little Store", so that students can master the methods and skills of "four operations" in happy shopping game activities. For another example, after students have a preliminary "understanding" of the direction, organize a "super imitation show", that is, the teacher first tells the action of an animal, and then let the children imitate it to see who imitates it the most. The teacher kept issuing fairy-tale passwords: the rabbit clapped his hands up, the duckling took two steps to the left, the puppy jumped three times, the bear bent to the north, and the monkey scratched his back to the west ... The students were very interested in participating in the activities. In this way, while internalizing knowledge, students really feel the ease and happiness of learning mathematics. The seemingly boring mathematics learning activities, because of their fun, greatly enliven the learning atmosphere and stimulate students' strong interest in learning and using mathematics well.

2. On the basis of subject participation, stimulate the sense of autonomy. Emphasizing students' dominant position is the core idea of mathematics curriculum standards. Teachers should have everything that students can design, so that students can give full play; All the teaching ideas that let students do it themselves provide students with broad activity space and ample exploration time, making students the main body of learning activities and teachers the organizers, guides, participants and collaborators. Let students learn by doing and playing in a real environment. In this way, students' cognition, emotion and ability can be improved. In the teaching of "Practice and Comprehensive Application", there are two meanings to embody students' subjectivity: one is to let students participate in the design of "Practice and Comprehensive Application" activity plan. For example, after students learn the method of "drawing orthography to collect sports data", they can be further inspired: please find a topic you are interested in from your daily life, make statistics and analysis with the methods you learned today, and clarify your views on this issue. Mobilize students to put forward valuable project themes: "Investigation and analysis of fifth-grade students' extracurricular reading" and "Investigation and analysis of primary school students watching TV programs". The second is to broaden the space for students to explore independently. For example, the comprehensive application activity of "Beautiful Lawn": There is a parallelogram lawn in the park (as shown below), and the manager wants to build a flower bed with an area of 30 square meters in it. Can you help with the design? (Please draw a sketch)

Guide students to use the knowledge of plane graphics they have learned, use their brains and hands actively, and design colorful schemes. In this way, in the process of "practice and comprehensive application" activities, students are encouraged to explore and solve problems independently, gain mathematical experience continuously and actively construct knowledge.

3. Advocate hands-on operation and cultivate practical ability. "Everyone learns valuable mathematics" is the basic idea put forward by the mathematics curriculum standard. What is valuable mathematics? In short, mathematics comes from life and helps solve practical problems. "Practice and comprehensive application" is essentially a problem-solving activity. In the process of solving problems, students need to think and explore independently, master thinking methods and cultivate innovative thinking in exploration. For example, after students learn "10 and the corresponding addition and subtraction", they can design a practical activity of "children are in charge": mom invites you to buy breakfast with lO yuan, which foods are you going to choose? Why? Make pictures for the items in the table below for students to choose. )

In the simulated real situation, students get different choices by taking, thinking, calculating and speaking. There are many formulas to express the composition of 10: two numbers, three numbers, four numbers ... Sticking to this point will undoubtedly improve students' mathematical practice ability of "using hands, mouth and brain".

4. Improve the division of labor and cooperation, and develop team spirit. Mathematics curriculum standards require students to "learn to cooperate with others and communicate the process and results of thinking with others". In the process of activities, teachers should carefully design and skillfully arrange, so that students can feel that it is difficult to effectively solve problems and achieve goals only by relying on personal level and ability, thus naturally generating the desire to cooperate with others, and can realize the importance of cooperation and the powerful force of team spirit in the process of solving problems. For example, in the activity of "the change of surface area", the teacher gave each student an identical cube, asking students to study "how the surface area has changed compared with the sum of the original cubes when two, three, four and five identical cubes are put together in a row, and sum up the changing rules". With the deepening of inquiry activities, students spontaneously turned from independent thinking at the beginning to small group cooperation at the same table. For another example, in the comprehensive application of "plane graphic area", we can design such a problem: measure the area of each lawn on campus and calculate the per capita lawn area of the school. Students take the study group as a unit, carry out activities in an orderly manner, work together, measure, remember and calculate. Through mathematics activities, students' cooperative learning ability is not only cultivated, but also the pleasure of cooperating with others is experienced.

5. Encourage multi-angle thinking and develop innovative thinking. "Forming some basic problem-solving strategies, experiencing the diversity of problem-solving strategies, and developing practical ability and innovative spirit" is one of the curriculum objectives determined by mathematics curriculum standards. In the process of "practice and comprehensive application" activities, teachers should guide students to discuss and communicate, cultivate students' good thinking habits and innovative consciousness, and encourage openness and diversity of thinking. Teachers design interesting math activities, encourage every student to start work, talk and think, actively participate in the learning process, leave enough time and space for students, guide students to actively explore and develop their innovative consciousness and practical ability. For example, there are 4 tapes. Please design different packaging methods and compare which one saves wrapping paper? What if there are eight tapes? In the activity, students can find the way to save the most wrapping paper based on their own experience, but if teachers can help students sum up the reasons for saving the most wrapping paper through comparison, they can use certain strategies to solve similar problems.

The activity of "Practice and Comprehensive Application" should be guided by the basic ideas in the mathematics curriculum standards, based on the development of students, optimize the activity plan and process, guide students to observe, think, try and learn from the perspective of mathematics, find problems, solve problems, expand problems, and promote students' all-round, sustained and harmonious development.