Investigation report on similarities and differences between junior high school mathematics and senior high school mathematics
The differences between junior high school mathematics and senior high school mathematics are as follows: first, beginners in junior high school are more specific and theoretical than senior high school mathematics, while in senior high school, algebra in senior one is a set and function part with strong theory from the beginning, which will make it difficult for some students to adapt even if they learn junior high school mathematics well; Second, junior high school mathematics is relatively simple and can be solved by following certain steps, while senior high school mathematics thinking method leaps to the theoretical level, and the problem-solving process is more complicated, which requires students to think from multiple angles and aspects; Third, the knowledge content has obviously increased, and the workload of students mastering knowledge in the same unit time has obviously increased. Therefore, in the new study, students may have the following problems: First, some students rely more on the learning mode of junior high school. For example, teachers will list all kinds of questions in the senior high school entrance examination for repeated practice, so it is easy for students to develop the habit of relying on teachers and even apply questions. In senior high school, this model is generally not suitable for the new learning level. Second, the knowledge content of primary school and junior high school is becoming more and more difficult. Some parents' knowledge of elementary and junior high schools may still help their children learn, but the content of high school may be limited to failing to keep up, or even failing to keep up, but it is far from the requirements of the college entrance examination. Third, they are lax in their thinking, especially some junior high school students who are good at mathematics, even top students. Because the junior high school content mentioned above is relatively simple, they don't pay attention to it ideologically, and they don't make corresponding changes in their learning methods, which leads to that they can't keep up with the exam. And I have confidence in myself. I always feel that math in senior one and senior two is not very good, but I can improve myself quickly by biting my teeth in senior three, and I am superstitious about my "cramming" speed and ability. But in high school, it is difficult to do this, because the main junior high school mathematics study we mentioned earlier is different from that in high school. Senior one is the most crucial year in the three-year study of senior high school mathematics, involving basic knowledge. Although there is such a big difference between junior high school mathematics and senior high school mathematics, there is no need to have too much fear about the upcoming senior high school mathematics. Because the study of junior high school mathematics is intrinsically related to the teaching of senior high school mathematics. High school mathematics is based on junior high school mathematics, and students' interest in learning mathematics is also cultivated step by step from primary school to junior high school. The introduction of new mathematics knowledge in senior high school is not necessarily random, but developed on the basis of junior high school mathematics, which requires us to pay attention to the similarities and differences between junior high school and senior high school when studying senior high school courses and explore the hierarchical relationship in thinking. Understanding the "why", "where", "what can we do" and "what can we do" of knowledge from the internal relations, and truly understanding the curriculum standards and textbook contents of junior and senior high schools, can we grasp the mathematics knowledge system of junior and senior high schools as a whole, sort out the knowledge points connected with the textbook contents of junior and senior high schools, and appropriately expand these knowledge points to fill the gaps, so as to organically combine junior and senior high school mathematics knowledge. From the teacher's point of view, we should also do a good job in the connection and change of teaching methods and strive to cultivate students' interest in learning mathematics. Although the teaching method of junior high school mathematics is vigorously promoted, due to the limitation of junior high school students' knowledge level, more students still adopt the method of indoctrination and explanation. After entering senior high school, students have begun to change from teenagers to young people both physically and psychologically, and their learning psychology has changed from "experience memory" to "exploration and understanding" to actively learn knowledge; Therefore, in teaching methods, more heuristic teaching is used to stimulate learners to take the initiative to learn and guide students to understand what they have learned in essence. Therefore, in terms of teaching methods, paying attention to the cultivation of students' interest in learning and arousing students' yearning for high school mathematics learning is the foothold of dealing with the connection between junior and senior high school mathematics teaching.