How to teach high school mathematics by yourself?
Mathematics is a science that studies the relationship between spatial form and quantity. Senior high school mathematics is the necessary foundation for studying physics, chemistry, computer and continuing to study in colleges and universities. However, in mathematics learning, it is found that many students are afraid, afraid and tired of mathematics learning. Because of the psychological existence of fear, fear and boredom, a vicious circle of not loving learning, not wanting to learn and even resisting mathematics has been formed. If this continues, it will directly affect future study. When you enter high school, you can take the study of mathematics as a new starting point. As long as it is not difficult to learn math well, we might as well try to work hard in the following aspects. Get out of the misunderstanding Some students think that they are not good at math foundation and are afraid of affecting their high school study; Some students think that mathematics is abstract and boring to learn; Some students find mathematics difficult and have no mind to learn it; Some students think that studying math is just for exams. If you don't major in mathematics in the future, then mathematics is almost useless. We admit that learning mathematics well in junior high school can certainly lay a good foundation for the study of mathematics in senior high school and make the study of mathematics in senior high school smoother. However, if you don't do well in the math test in the senior high school entrance examination, don't be discouraged, let alone have the idea of coping and giving up. Mathematics is a systematic subject, knowledge is relevant, and students take a fancy to it, so they think that poor foundation will affect high school study. In fact, mathematics knowledge is relatively independent, and students may not understand it deeply. For example, we learned the problem of set and function in junior high school, and we have to learn it in senior one. Of course, it is an extension of junior high school learning. If you don't learn well in junior high school, you can take this opportunity to fill in the loopholes in junior high school knowledge. In high school, with the development of body and mind and the improvement of cognitive level, it will be very simple to look at junior high school knowledge in turn, and sometimes there will be an epiphany. Even if you don't learn this topic well, you can review and consolidate old knowledge while learning new knowledge. For another example, the knowledge of sets, functions, triangles, series and other chapters in high school is relatively independent. Don't lose confidence in other chapters just because you haven't learned one chapter well, but make up for the defects of other knowledge while learning a new chapter. To make it clear, it is suggested that students take the study of mathematics in senior high school as a new subject, lay a solid foundation for new knowledge that they have not been exposed to in junior high school, and understand the problems they don't understand in time; In the extended study of what you have learned in junior high school, you should think more about what faults you have in the connection between junior high school and senior high school. Ask more questions. What is this? Why? Strive to make the study of mathematics in senior one play a connecting role and lay a solid foundation for the study of senior one. Cultivate Interest Einstein said, "Interest is the best teacher." Indeed, it is easy for us to learn the subjects we are interested in, and we feel very comfortable and satisfied with our grades. Similarly, I will have unlimited enthusiasm and great enthusiasm for what I am interested in, and I will do my best to overcome all difficulties. Interest in mathematics also depends on our conscious cultivation. When learning mathematics, we should overcome the utilitarian thought of learning mathematics only for the college entrance examination, understand the importance and necessity of learning from the efficacy and function of mathematics and the needs of people's development and life, and start with the chapters that interest us. For example, if you like geometry, you can do more topics in this area, and experience the thinking method of mathematics, the beauty contained in mathematics and the happiness of mathematics learning in the process of solving problems, thus driving the study of other chapters and cultivating the interest in learning mathematics. The exercise of mastering methods and problem-solving skills depends on our careful thinking, in-depth thinking and summary in the process of solving problems, and constantly explore the law of solving problems. George Polya, a famous mathematical educator, summed up the typical intellectual activities with the most characteristics in the process of solving problems, and extracted the general laws and methods of analyzing and solving mathematical problems, namely, four stages: defining problems, drawing up problem-solving plans, realizing problem-solving plans and reviewing. In teaching, the teacher emphasizes the examination of questions, calculation and mathematical expression, and requires us to accurately and firmly remember concepts, formulas, theorems and other knowledge, and use these knowledge for calculation, proof and logical reasoning. These are generalizations and summaries of mathematical skills and problem-solving laws, which need to be carefully understood in our study. As long as you master the laws, methods and thinking of learning mathematics, any problem will be solved. Tired of studying, Confucius' disciples said to Zhong Ni, "I want to have a rest." . Zhong Ni said, "There is no rest in life". Encouraging senior high school students, mathematics is indispensable to the development of human society and irreplaceable to the formation of people's quality and accomplishment. As a high school student, there is no end to learning mathematics.