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What monographs abroad discuss the research status of how to cultivate high school students' mathematical thinking?
Generally speaking, China children are better than American children in exams, but they are often inferior to American children in hands-on or research. What is the actual situation? The author finds that American children seem to grow up carefree. When children were young, they had little homework and mainly went home to play. When they go to college, they don't have to take the college entrance examination as high school students in China. If American children want to go to college, they can apply for it only by virtue of school points, teachers' recommendations and social activities. Admission depends entirely on the university's demand for talents. Children don't have to worry about going to college, because this university doesn't admit them, and that university can admit them. It can be said that all roads lead to Rome. Although the growth of American children seems to be a natural thing, through the communication with local Americans, the author finds that American parents have made great efforts in how to make their children independent and develop their intellectual potential as soon as possible. It is no exaggeration to say that children in China are brought up, and children in the United States are brought up. In America, you can see toddlers everywhere. If a child falls, parents generally don't take the initiative to run forward and bend over to help the child, just shout loudly. When a child sees that there is no adult to help him, he has to stand up by himself unless he falls heavily. Whether in the park, on the street or in the aisle of the plane, you can see the thrilling scene of children stumbling in front and parents running behind. American parents also attach great importance to communication with their children. I once flew from new york to Minneapolis and sat there for five hours. The mother sitting in the back row has never stopped communicating with her 2-year-old and 5-year-old children. At the same time, the mother had a heart-to-heart conversation with the children like a teacher who followed the guidance, just like brothers and sisters. She is equal, respects each other, and has no attitude of being above the children. On the way, the children asked some interesting questions, such as why the plane was flying in the snow. Why doesn't the plane move when it is flying? Why can't the window on the plane be opened and so on? An American friend of mine told me that American parents attach great importance to communication with their children. As soon as the child is born, parents try to communicate with the child who is learning English and convey their feelings to the child. Open American newspapers, and there are articles encouraging parents to communicate with their children, saying that American parents have reached an understanding. To cultivate a smart and lovely child, from the moment the baby is born, they must first learn to communicate with the baby. Parents don't have to worry that this kind of communication will become a unilateral wish, because the baby has the ability to communicate with others from birth and is willing to communicate with you. The mother is the first communication object that the baby has the most contact time, and the mother-child gazing at each other is the beginning of communication. Mothers can also make use of every opportunity to communicate with their babies, such as talking to the babies while feeding, smiling when changing diapers or holding the babies, and saying such sweet words as "Look at the mother" and "The baby is really good". If the baby listens to those words while nursing, it will slow down or even stop sucking, indicating that the baby is listening to his mother. The ways of communication can be diversified. In addition to "talking" with the baby, you can also have fun with the baby, such as touching the baby's head and gently scratching the baby's stomach, so as to attract the baby's attention and make him smile. When the baby smiles, give a compliment. Don't forget that the mother's gentle kiss is also a good reward for the baby. Make use of every opportunity to communicate with your baby, so that children can distinguish different voices and contexts, know different faces and expressions, and keep a happy mood in communication with their parents. The author thinks that why American children are independent, have the ability to analyze and solve problems when they grow up and have great plasticity is inseparable from their parents' language development. According to American friends, American children live apart from their parents when they are very young, and children sleep in a room alone. Of course, there will be children who are afraid of loneliness, which is good, so let him be with the puppy from an early age. No wonder many children cry their eyes out when the dog is missing or dead, because the affection between children and dogs is better than their parents! When the child reaches the age of 18, he will earn his own living. This is not because parents have no money, but to let their children earn their own money and become independent as soon as possible. American children often hear their parents' mantra from an early age: "Take care of yourself" and "Make tomorrow's life better". American parents see it this way. Let children earn money by themselves, that is, let children know the hard and difficult work of making money and the value of making money. After going to college, children can apply for credit cards, which is the first step in learning financial management. Pay the bill If you don't pay the bill in time, your personal reputation will be tarnished and you will encounter many troubles in the future. After graduating from college, car dealers will go to school to sell cars. After renting a car, the children began to rent their own apartments and do odd jobs, but at this time, the children did not have a fixed job, and someone had to guarantee you to buy big things, so that you would know that the money was not earned for nothing. Then you can find a permanent job after graduation. As time goes by and your income increases, you will buy a house and a car to further improve your life. This system can help children adapt to the independent life of society as soon as possible.