At present, the content of junior high school mathematics textbooks is basically based on the logic system of mathematics, and the teaching mode is "concept theorem-example explanation-practice consolidation-exam feedback", which focuses on training and cultivating students' key questions and answering skills, and rarely makes students understand the significance and value of mathematics. At the same time, junior high school students' ability of examining questions, refining, analyzing and summarizing and calculating is relatively weak, and they basically have no chance to contact with the practical application of mathematics. Therefore, junior high school students' understanding of mathematics is one-sided and narrow. They think that learning mathematics means constantly learning the definition and theorem of mathematics, constantly analyzing, solving problems and taking exams, lacking the basic perceptual knowledge of the application of mathematics in life.
Second, the basic ways to cultivate junior high school students' awareness and ability of mathematics application
1. Introduce the history of mathematics development and improve students' interest in learning mathematics.
Mathematics is an important part of human culture, including the innovative spirit of mathematicians, the aesthetic value of mathematics and the promotion of mathematics to social development. In the process of classroom teaching, whenever new knowledge related to students' real life is encountered, the author will introduce the historical background of this knowledge and the exploration process of people at that time, as well as the final scientific and technological achievements and contributions to improving human life.
For example, CT scanning, which is familiar to us and commonly used in the medical field, has made great contributions to human medical diagnosis technology. As early as 19 17, mathematician Radon introduced a mathematical transformation into the study of integral geometry, that is, Radon transformation. Later Colemark and Hunsfield used Radon transformation to design an X-ray tomography scanner-CT. A brief introduction to these mathematical histories can help students understand the role of mathematics in the development of human civilization, which is of great significance for students to fully understand the role of mathematics, improve their interest in learning, clarify their learning direction and enhance their learning motivation.
2. Create teaching situations to stimulate students' consciousness of applying mathematics.
Frandenthal, a famous mathematics educator in the Netherlands, said: "Mathematics teaching should teach the mathematical discovery process of abstracting these structures from rich realistic situations. Learning refers to the process of forming the mathematical activities of this system, not the final result of systematization. " In mathematics classroom teaching, teachers should presuppose the teaching situation by choosing life examples or content that students are interested in according to the cognitive basis and characteristics of junior middle school students, so that students can immerse themselves in the real situation to explore the source of knowledge, and finally naturally lead to topics and conclusions.
For example, the principal of a school will lead the city-level miyoshi students to travel to Beijing during the summer vacation. A travel agency said, "If the principal buys a full ticket, the rest of the students can enjoy a half-price discount." Travel agency B said: "All clients enjoy a 60% discount on the full fare (that is, a 60% discount on the full fare)." If all the tickets are from 240 yuan, when the number of students is 0, will the charges of the two travel agencies be the same? Another example is: Xiaoming deposits 100 yuan earned from work-study program in children's bank for one year, and takes out 50 yuan to buy school supplies after the expiration, and deposits all the remaining 50 yuan and interest due for one year. If the annual interest rate of the deposit remains unchanged, the principal and interest can be obtained after maturity. Find the annual interest rate of this deposit. Students' mathematical knowledge obtained in this way is produced with the practical application of mathematics, and the corresponding mathematical knowledge will naturally be applied to life, so that students will have the awareness of application from the beginning when they accept mathematical knowledge.
Practice has proved that students can understand and absorb the acquired knowledge more easily by participating in situational teaching activities. More importantly, this kind of situational experience can urge students to connect their mathematics knowledge with their life practice, help students find the breakthrough point of mathematics knowledge in practical application, and thus cultivate students' awareness and ability to apply what they have learned.
3. Increase practical activities to improve students' mathematical application ability.
The application of junior high school mathematics knowledge points mainly means that mathematics knowledge can be applied to many levels of social life. For junior high school students, it is mainly to cultivate students to realize and recognize practical problems first, and then simply use relevant mathematical knowledge.
For example, a department store engages in promotional activities during New Year's Day, and shopping does not exceed 200 yuan without discount; More than 200 yuan, but 10% discount within 500 yuan; More than 500 yuan, 500 yuan 10% discount, more than 20% discount. Someone spent 134 yuan and 466 yuan on shopping twice. Q: (1) How much is it worth for this person to buy his goods twice without discount? (2) How much money did he save in this activity? (3) If this person buys the same goods by combining two sums of money, will it save more money or lose more money? State your reasons. Another example: China Unicom has introduced various preferential policies, which one is more suitable? A: Business trip package, monthly rent 10 yuan; Local call local 0.2 yuan/min, called free; Call domestic long-distance 0.3 yuan/min (package fee 3 yuan); The roaming caller in the province is 0.39 yuan/minute (package fee 10 yuan), and the roaming caller in the province is 0.39 yuan/minute, and other standard charges are implemented; B: SMS package, monthly rent 10 yuan; The package fee in 5 yuan includes 200 in-network messages+100 off-network messages per month; Local calls to 0.2 yuan/min, domestic long-distance calls to 0.2 yuan (excluding basic fees) are called free; Domestic roaming call 0.6 yuan/min, called 0.39 yuan/min; C: Volkswagen card, monthly rent 12 yuan, and a free bell. Local call, 0.2 yuan in the first minute, 0.65,438+0 yuan/minute in the second minute, free call; Local call 0.3 yuan/minute (excluding basic charges), domestic roaming call 0.6 yuan/minute, called 0.39 yuan/minute.
Teachers should choose life examples that students can directly contact, and compile them according to the principles of scientificity and feasibility, so that students can experience the application of mathematics, use mathematics as a tool, let students realize the practicality of mathematical knowledge in real life, and improve their consciousness and ability to use mathematics.
In short, junior high school mathematics teaching must change ideas and make classroom teaching change from knowledge to application. Only when students see that mathematics can be applied to real life can they gain the motivation to learn and rekindle their interest in learning mathematics.