At present, the cultivation of application consciousness and the development of application ability should be placed in the important position of primary school mathematics teaching, so that students can adapt to life and society and use the knowledge and thinking methods they have learned to think and deal with problems. This requires our teachers to focus on students' life experience and practical experience, open students' horizons, broaden students' learning space, maximize students' potential, let students experience the close connection between mathematics and daily life, cultivate students' ability to find mathematical problems from surrounding situations, solve practical problems with what they have learned, and develop students' application consciousness.

As for applied consciousness, the mathematics curriculum standard points out that it has two meanings: on the one hand, it consciously uses mathematical concepts, principles and methods to explain phenomena in the real world and solve problems in the real world; On the other hand, it is recognized that there are a lot of problems related to quantity and graphics in real life, which can be abstracted into mathematical problems and solved by mathematical methods. The cultivation of students' application consciousness should run through the whole process of mathematics education, and comprehensive practical activities are a good carrier for cultivating application consciousness.

Then, how does the arrangement of teaching materials reflect the cultivation of students' application consciousness?

Take page 96 of the sixth edition of Qingdao textbook "comprehensive application"-"making the campus green" as an example. First of all, from the arrangement of teaching materials, if you want to know the greening rate and greening coverage rate of the school, you need to use the knowledge of polygon area calculation and percentage that students have learned before, which is the application of what students have learned; Secondly, from the activity methods provided by the textbook, students can choose step measurement, tool measurement or other creative methods to measure the green area and green coverage area of the school, which is the application of students' existing methods; In addition, we can also make students gain more experience in carrying out mathematical practice activities and improve their awareness of applying mathematics through the form of activity reflection.

How to cultivate students' application consciousness in mathematics practice? Below, I will talk about my understanding and practice in this respect with the help of the lesson "Let the campus be green". First, pre-class self-investigation, germination of application awareness

With the rapid development of science and technology, the development of mathematics involves more and more fields. High definition multimedia series, aerospace engineering, clinical medicine, market survey and forecast, meteorology ... all reflect the extensive application of mathematics. When the society enters the information age, textbooks often contain a lot of explicit knowledge or tacit knowledge, which requires students to carry out information collection, investigation, statistical analysis and other activities independently, so as to find a solution to the problem. Through these investigation activities, students can not only understand the development and value of mathematics, but also inspire their courage and confidence in learning mathematics well, and help them understand the application process of mathematics knowledge. 1. Draft an activity plan.

Everything should be planned, and the research of comprehensive practical activities should also be planned. In order to make the theme research orderly, after determining the theme of the activity, let the students freely combine to form a research group, and then work out the activity design plan in groups. Generally speaking, the activity plan consists of the following parts: what is the theme or topic of the activity; What is the content of the study? What is the specific purpose of the study; What is the research method (or approach); How to arrange the specific process of the activity (activity plan); The specific tasks or division of labor of team members; Presentation form of activity results; Problems that should be paid attention to in activities (possible difficulties). Of course, the research scheme of each topic can be flexibly formulated according to the situation. Start an investigation

Pre-class investigation is one of the main ways to obtain information in comprehensive practical activities. Questionnaire survey, data search and observation are all students.

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Common investigation methods.

For example, before teaching the lesson of "greening campus", I asked students to investigate the following aspects: first, collect information about greening effect through surfing the Internet or consulting books and periodicals; The second is to investigate the green area and green coverage area of the school and arrange them in the table; The third is to investigate the total area of the school. Through a variety of learning methods, students can personally participate in the process of measurement and data collation, so that students can feel that mathematics exists in every corner of life and truly realize that mathematics permeates all aspects of life, thus prompting students to consciously connect mathematics with life and sprout their awareness of application. Second, organize personal experience in practice and enhance application awareness.

In order to improve students' awareness of mathematics application, teachers should take various forms to optimize teaching resources, create as many practical opportunities as possible for students, let students melt what they have learned in extracurricular mathematics practice activities, and turn knowledge into ability. In this class, teachers purposefully organize students to carry out activities such as field estimation, measurement and calculation, so that students can realize that only by studying and applying the knowledge in books can they turn practical problems in real life into mathematical problems and solve them faster and better. So as to improve students' interest in learning mathematics and further enhance their awareness of applied mathematics.

"Make the campus green" runs through the practice process, and I mainly cultivate students' application consciousness from the following five aspects.

1. Review during measurement.

In the process of measuring the length of cooperative garden, Baicao garden and Xiangyi garden before class, let students further master the methods of step measurement, visual measurement and tool measurement, feel the extension of measurement knowledge from in-class to out-of-class, and know that learning is useful. As can be seen from the related content of classroom communication below.

Teacher: Before class, we designed several methods to measure the land area. What method did your group use? What is the result of the measurement?

1 group: Our group measured the garden with a tape measure, with green area 12 1 m2 and green coverage area 123 m2.

Teacher: Which other group also used this method? What are the measured areas?

Group 2: We also used this method. We have measured that the green area and green coverage area of Ruozhen Garden are 162 square meters. Measuring with a tape measure is quite accurate.

Group 3: Yes, we measured the green area and green coverage area of the cooperative park by the same method as153m2. The fourth group: the green area of Baicaoyuan is 69 square meters, and the green coverage rate is 73 square meters. Teacher: The students responded well. Will you record the measurement data of these groups in the table? Teacher: Which group has different measurement methods? How do other groups measure it?

The fifth group: our group used several square bricks and estimation methods when measuring the clean garden. The green area is about 122 square meters, and the green coverage area is about 132 square meters. Teacher: This method is also very good. What about the other groups?

Group 6: The area of Shuxiang Garden is too large. We finished the investigation. The green area is 262 square meters, and the green coverage area is 264 square meters. ……

2. Experience in estimation and calculation.

Usually, the estimation and calculation problems that students come into contact with are mostly the contents of books, which are far away from students. This part

The estimation and calculation of the course are practical and flexible, which will certainly help students better understand what they have learned. 3. It is statistically clear.

With the release of groups of data, and then presented in the form of tables, the green area and green coverage area of seven parks jump from the paper, allowing students to feel the formal beauty and concise beauty of mathematics. 4. Think through analysis.

After adding the data of our school to the blackboard, the teacher asked: What do you find by observing the data above? What are you going to say? Inspire students to think deeply. 5. Solve it in the discussion.

Teacher: Then what should we do? What can we do to make our campus green and meet provincial standards? Think independently first, and then discuss in groups.

Health 1: We can expand each park, and the total area will become larger. Health 2: Some small flower beds can be built in the corner of the school, which can also improve the green coverage. Health 3: We should plant more trees, so the coverage will be higher. Teacher: Yes, the ability of trees to purify the air is more than twice that of grasslands. Health 4: Why not just turn our plastic track into a lawn?

Health 5: No! We have no place to play. You can't step on the grass, can you? Teacher: You are really a green messenger! Is there any other way? Health 6: We can also afforest on the flat roof.

Teacher: That's right. This is exactly the greening method that has been strongly advocated in recent years-three-dimensional greening.

Teacher: I have a good news for you. Our school will expand this year and next. Do you have any good suggestions to make our school meet the provincial standards? ……

"Practice is the source of knowledge", and practice plays an important role in understanding, mastering and skillfully using knowledge. Only when students practice and apply mathematics in real life can they truly understand the role of mathematics and cultivate their awareness of mathematics application. At the same time, this activity also fully cultivated students' observation and analysis ability, experimental operation ability, investigation and statistics ability, language communication ability, cooperation and communication ability, judgment and decision-making ability, etc. It provides the possibility for all-round cultivation of students' mathematical literacy. Third, reflect on the practical process and deepen the awareness of application.

Activity reflection is helpful to help students accumulate activity experience, enhance activity confidence, and cultivate and strengthen mathematics application consciousness. The contents of reflection mainly include: whether to actively participate in the process of practical inquiry? Can you ask questions during the activity and choose appropriate methods to solve them? What is the ability to collect and process information in activities? Can you carry out necessary cooperative exploration and actively communicate, support and cooperate with your peers in the group? Wait a minute.

In a word, "practice and comprehensive application" makes the content and form of mathematics teaching more vivid, vivid, diverse and attractive; More importantly, through this course, students have improved their understanding of mathematical knowledge, acquired the thinking mode of solving problems by using mathematics, recognized the role of mathematical knowledge and methods in solving practical problems, cultivated their consciousness and ability of consciously applying what they have learned to solve problems, and comprehensively improved their mathematical literacy.