The Importance of Improving Senior High School Students' Mathematical Problem Solving Ability
In senior high school, mathematics is a very important subject, which occupies a great score in the college entrance examination. There is even a saying that "those who get mathematics get the world", and the importance of high school mathematics can be seen. Therefore, in the process of high school mathematics teaching, teachers should not only teach students basic mathematics knowledge, but also strengthen the cultivation of students' mathematical problem-solving ability. Only by improving students' ability to solve problems can students' math scores be effectively improved. At the same time, strengthening the cultivation of students' mathematical problem-solving ability is also in line with the requirements of the new curriculum reform. Strengthening students' mathematical problem-solving ability is conducive to improving students' comprehensive ability of thinking, analyzing and solving problems, helping students to fully understand and master the basic theorems and laws of mathematics and skillfully use the basic knowledge of mathematics. Therefore, it is of great significance to strengthen the cultivation of students' problem-solving ability in the process of high school mathematics teaching.
Cultivation of students' problem-solving ability in senior high school mathematics teaching
Cultivate students' ability to examine questions
Examining questions is the first and key step in the process of solving problems correctly. Most senior high school mathematics propositions are basic ones. In the process of solving problems, as long as students carefully examine the meaning of the questions, most of them can solve the answers. However, in the actual examination process, some students make various mistakes in solving problems. The most important reason is that they lack the ability to examine questions. I don't understand the meaning of the topic clearly enough, I can't figure out the hierarchical structure of the topic, I can't find the hidden conditions in the topic, and I can't work out the correct answer. Therefore, teachers should cultivate students' ability to examine questions, guide students to find hidden conditions in problems, and then improve their ability to solve problems. For example, when talking about "the quadratic equation of one yuan", the teacher gave the following questions: It is known that the quadratic equation of one yuan (3a- 1)x2-5x+2=0 about x has two unequal real roots, please determine the value range of a, and when explaining the problem, the teacher should let the students dig out the implicit conditions of the topic. The topic is to determine the range of a, which is also a quadratic equation about X, so 3a- 1≠0 is an implicit condition. Only by cultivating students' ability to examine questions can we improve students' ability to solve problems, enable students to master the basic methods of solving problems, and then work out the answers to questions.
Make full use of mathematical examples to cultivate students' divergent thinking in solving problems
Examples in textbooks have been repeatedly demonstrated by educational experts, and they are well combined with textbook knowledge, which can usually catch the blind spots and misunderstandings of students' mathematical knowledge.
Teachers can improve students' problem-solving efficiency, cultivate students' problem-solving ideas, make students better absorb mathematical knowledge and establish a complete mathematical knowledge system through examples when carrying out high school mathematics teaching activities. High school math teachers can also solve the same math problem in different ways when doing example exercises, so as to cultivate students' divergent thinking and improve their problem-solving ability. For example, solution 2
Create a good teaching environment and enhance students' self-confidence in learning.
When carrying out teaching activities, senior high school math teachers should not only pay attention to the cultivation of students' problem-solving ability, but also encourage students to think more and take the initiative to answer questions, so as to stimulate students' self-confidence in learning to the maximum extent and cultivate students' problem-solving thinking. A good teaching environment is the basis of teaching effect, which can not only reduce teachers' teaching burden, but also improve students' ability to solve problems.
When carrying out teaching activities, teachers should combine the actual situation of students, teach students in accordance with their aptitude, make a reasonable teaching plan to adapt to the characteristics of different students, pay attention to the establishment of students' self-confidence, encourage students to express their ideas, give recognition to students' ideas, and give appropriate guidance to improve students' interest in learning. And high school math teachers need to constantly improve themselves, improve their comprehensive quality, enhance their problem-solving ability, and lay the foundation for cultivating students' problem-solving ability.
4 conclusion
Strengthening the cultivation of students' problem-solving ability in high school mathematics teaching can not only affect the goal of mathematics teaching, but also cultivate students' ability to master and apply mathematics knowledge. High school is the golden age to improve students' learning ability. Only by attaching importance to cultivating students' mathematical problem-solving ability can we improve students' self-improvement and comprehensive ability, and then improve the teaching level and quality of senior high school.