First, master the difference between high school mathematics and junior high school mathematics learning methods.
In junior high school, teachers' classroom teaching tasks are small and their knowledge is relatively simple. Through repeated explanations by junior high school teachers in class, junior high school students can easily understand knowledge points and master problem-solving methods, arrange synchronous homework after class, and achieve the purpose of understanding knowledge and mastering math skills through a lot of practice. The problem-solving methods and mathematical ideas used in junior high school students' exams are basically repeatedly trained by teachers. In the teacher's patient explanation and a lot of training, students only need to remember the conclusion to do the problem smoothly.
In senior high school, the study time of senior high school mathematics decreases with the increase of courses, and the amount of extracurricular exercises arranged by senior high school teachers is also relatively reduced. Senior high school math teachers don't supervise students' learning and extracurricular exercises like junior high school teachers. High school mathematics has a wide range of knowledge, and the knowledge points only depend on the training of teachers. It is impossible for all types of exercises to be explained by teachers. So how to study high school mathematics? Senior three students need to master one or two typical examples given by teachers to master such exercises. To meet this requirement, we must improve students' self-study ability and cultivate research spirit. In the future college entrance examination, mathematics questions will be more diversified, and application questions, exploration questions and open questions will be more innovative, so as to improve students' autonomous learning ability and adapt to the changes in the college entrance examination.
Self-study ability represents a person's comprehensive ability. Students need the guidance of teachers, and adults need to live and study. You need to improve yourself through self-study so that you can face problems independently and solve them flexibly.
Second, understand the knowledge difference between high school mathematics and junior high school mathematics.
The knowledge points of junior high school mathematics are relatively easy and have not changed much. Junior high school students imitate doing problems and imitating teachers' thinking and reasoning. Junior high school students imitate a lot, which solidifies the unfavorable mindset, brings rigid thoughts and closes the creative spirit. Junior high school mathematics, the topic, the known and the conclusion are unchanged, and the answer is also constant and quantitative. Junior high school students have limited mathematical thinking when analyzing problems quantitatively.
High school mathematics knowledge is extensive, which is the expansion and extension of junior high school mathematics knowledge. The knowledge is getting more and more difficult and the knowledge is getting wider and wider, so it is impossible for students to imitate them all. If you can't develop your self-thinking ability, your math scores will only be average. The investigation of mathematics in college entrance examination lies in students' mathematical ability, advocating innovative learning and thinking, and cultivating students' creative ability. In high school mathematics learning, the variability of algebra will be widely used to explore the universality and particularity of problems, and through the analysis of variables, the ideas of analyzing and solving problems and the mathematical ideas used in solving problems will be explored.
Third, understand the differences between senior high school mathematics and junior high school mathematics thinking habits.
Junior high school students have a small range of learning mathematics knowledge and a low level of knowledge, which limits their thinking on practical problems. High school mathematics knowledge is diversified, which will enable high school students to analyze and solve problems comprehensively and profoundly, cultivate students' high-quality thinking, and improve students' thinking depth and breadth.
The study, knowledge, methods and thinking habits of high school mathematics have all changed. If you find the right rhythm of mathematics learning, you can learn high school mathematics well.