Introducing 1 Project into Life ―― Stimulating Students to Learn Mathematics
Piaget, a famous psychologist and educator, believes that students construct knowledge in active activities on the basis of their own life experiences. In other words, when learners enter the classroom, they are not ignorant of the blank paper, but gradually form their own understanding and views on various phenomena in their daily life, study and communication activities. Learning is not only the transfer and transmission of knowledge from the outside to the inside, but also the process of learners actively constructing their own knowledge and experience, that is, enriching, enriching and transforming their own knowledge and experience through the interaction between new experience and original life knowledge and experience. Therefore, teachers should be caring people, often collect some teaching materials related to life, carefully analyze the teaching materials in teaching, create life situations, and take students' experiences as a bridge to "know leads to the unknown", so that students can be guided by kindness and closeness.
Case 1 "Finding Approximate Solution of Equation by Dichotomy" introduces scenario design: let's watch a video first. Li Yong, the host, said: Guess the price of this product. Audience A: 2000! Li Yong: Gao! Audience A: 1000! Li Yong; Low! Audience A: 1700! Li Yong: Gao! Audience A: 1400! Li Yong: Low! Audience A: 1500! Li Yong: Low! Audience A: 1550! Li Yong: Low! Audience A: 1580! Li Yong: Gao! Audience A: 1570! Li Yong: Low! Audience A: 1578! Li Yong: Low! Audience A: 1579! Li Yong: This product is yours. Next ... "
Teacher: If you were asked to guess a commodity, what would you guess?
Health A: Estimate the price first. If it is high, lower the price every other yuan.
Student B: It's too slow. Let's estimate the price first, and if it is high, we will lower the offer every 100 yuan. If it is low, every rise in 50 yuan; If it is high, the price will be lowered once every 20 yuan; If it is low, it will rise every 10 yuan. ...
Student C: Estimate the price first. If it is high, quote another price. If it is low, quote half of the sum of the two prices. If it is high, quote the low price and half price, and then quote half price. If the price is low, combine the price just quoted with the previous high price to get half the total price. ...
Teacher: Can you solve the equation in the way of the third classmate? Where is it? Is the approximate solution of x+2x-6=0 in the interval (0,3)?
In this way, we analyze how to guess the principle of commodity price quickly from the game introduction of "guessing commodity price" which is closely related to life, and then introduce dichotomy, which can make students feel more cordial and stimulate their enthusiasm for learning.
2 Life-oriented teaching content-training students to learn mathematics
Dewey, an American educator, believes that education is the life of students, and the classroom life of students is the natural display of students' growth, interest and instinct in communication, exploration, production and art, and it is the life of students. Mr. Tao Xingzhi, an educator in China, also put forward in Life Education that "life is education, use life education, and educate for life". However, in the traditional teaching process, our teachers often pay more attention to the training of students' problem-solving skills. Ignoring the analysis of learning situation and staying away from students' life and practice, students will be helpless when facing the topic of connecting with life. Students' practical application ability is not directly proportional to it, and their innovative consciousness has not been cultivated and their innovative ability has not been improved. The teaching process is actually a process of "restoring life". Because knowledge comes from life and is higher than life, the content of our teaching activities should be rooted in real life for students to learn.
For example, when talking about the application of sequence knowledge, you can design the following examples.
Example 1 A family pays tuition for their children to go to college in the future. Since the birth of their children, they have deposited a sum of money in the bank every year. Suppose that the four-year tuition fee of a university needs 20,000 yuan, the annual interest rate of bank deposits is P, and the annual interest rate is calculated according to compound interest. In order to let the child 18 years old go to college, the principal and interest are 20,000 yuan. How much money does the family save every year?
Ex. 2: After graduating from college, some people plan to participate in endowment insurance. If he doesn't save an equal-difference annuity of A yuan every year, that is, he saves A yuan at the end of the first year, 2a yuan at the end of the second year, and na yuan at the end of the N year, with an annual interest rate of K. According to compound interest, what is the one-time pension principal and interest at the beginning of N+/kloc-0?
By analyzing the payment problems in life, let students deepen the application of sequence knowledge.
For another example, I designed an example in the study of compulsory 3 probability in senior two: a taxi had a traffic accident in the middle of the night. There are two taxi companies in this city ―― the blue taxi company and the red taxi company, among which the blue taxi company and the red taxi company account for 85% and 15% of the taxis in the city respectively. According to witnesses at the scene, the taxi at the scene of the accident was red, which tested the eyewitness's ability to distinguish, and the eyewitness's identification was correct. Try to explain why?
Solution: Assuming that there are 100 taxis in the city, the following information can be obtained according to the meaning of the question:
The colors said by the witness (the correct rate is 80%) are blue and red, and the total true colors are blue (85%)68 1785 red (15%)3 12 15, making a total of 7129/. It can be seen from the table that when the witness says that the taxi is red and it is blue, the probability is 1729 ≈ 0.59. In this case, it is obviously unfair for the red taxi to make inferences based on witness testimony.
Creating a life classroom through some life problems and students' life experiences is not only an effective way to cultivate students' interest in learning, but also to introduce students' learning into broad life practice, thus promoting the transformation of students' book knowledge into practical ability and promoting the development of every student.
3. Homework assignment should be life-oriented-cultivate students' ability to learn mathematics.
Interest If classroom teaching is the main position for students to acquire knowledge, then students' homework should be the "booster" for students' learning and the growing point for students' growth. Therefore, I base my homework on students' existing knowledge and life experience, and design some homework related to students' life, so as to guide students to explore math problems with their hands and brains, expand and extend their knowledge and realize the application value of mathematics. I really feel that math is right beside me. After learning the related concepts and properties of piecewise function, I left this homework: In summer, everyone likes to eat watermelon, and the price of watermelon is often related to the weight of watermelon. Someone went to the fruit shop to buy watermelons, and the price list said: below 6 kg, 0.4 yuan per kg; 6 kg to 9 kg, 0.5 yuan per kg; More than 9 kg, 0.6 yuan per kg. The man picked a watermelon and weighed it. The shopkeeper said that 5 yuan 1 jiao was not needed, so he gave it to 5 yuan. But the clever customer immediately said, instead of asking for less, you overcharged me. When the customer explained the reason, the shopkeeper had to admit his mistake and pay the money as it was. Students, you know how customers know. Please tell me the reason?
For another example, after studying the application examples of functions, I assigned an assignment: Newton, a British physicist and mathematician, once proposed a cooling model of physical bodies at room temperature. If the initial temperature of an object is θ? 1, and the ambient temperature is θ? 0, the temperature θ of the object will satisfy θ = θ after time t? 0+(θ? 1-θ? 0)? e？ Kapatou? Where k is a normal number, please design a scheme to verify Newton's cooling model, and then discuss the following issues:
(1) How long does it take for the temperature of a cup of boiling water to drop to room temperature?
(2) How long should the meat in the refrigerator be thawed before cooking?
(3) In cold winter, is the cold water pipe easy to freeze or the hot water pipe easy to freeze?
In order to answer the above questions, we can conduct a simulation experiment first, then inquire relevant information on the Internet, or consult relevant experts, and finally cooperate with our classmates to complete an internship report.
Mathematics homework under the new curriculum is no longer completely dependent on classroom teaching, but reconstructs and promotes the significance of curriculum and life.
Important content. Let students' homework jump out of books, jump out of the sea of questions, go to society and approach life. Living homework can make students realize the practicality and interest of mathematics, form a harmonious teaching atmosphere in which teachers are willing to teach and students are willing to learn, expand students' thinking and improve their scientific literacy.
Mathematics teaching in senior high school should return to life, let students experience the role of mathematics in solving practical problems, the connection between mathematics and daily life and other disciplines, promote students to gradually form and develop their awareness of mathematics application, improve their practical ability, broaden their application horizons and greatly enhance their interest in learning mathematics.
refer to
1 Yan, Zhang,. Interpretation of the curriculum standard of general advanced mathematics. Jiangsu Education Press, 2004, July.
2 Yang Xinrong. Mathematics classroom teaching returning to life. Modern primary and secondary education, March 2005
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