Mathematical reflection is a way of reviewing and thinking about the learning process of mathematics, which can help us better understand mathematical knowledge and improve our mathematical ability and thinking mode.

First, the basic knowledge is not solid.

Basic knowledge is very important in mathematics learning. If the basic knowledge is not solid, it will lead to the inability to use the knowledge points flexibly when solving problems, or even to solve some seemingly simple problems.

I realize that I have some problems in this respect. For example, when learning a function, the definition domain and corresponding relationship of the function are not clearly understood, which leads to frequent mistakes in solving problems. In addition, when I was studying the series, I didn't master the general formula and summation formula of the series firmly, which led to more points lost in the exam.

Second, the method of solving problems is not skilled.

In mathematics learning, problem-solving methods are very important. Unskilled problem-solving methods will lead to slow speed and low correct rate. I found that when solving problems, I often can't find suitable solutions quickly, and even make "take it for granted" mistakes on some topics.

For example, when solving solid geometry problems, I didn't master the method of proving that straight lines are perpendicular to the plane, so I couldn't solve problems quickly in the exam. In addition, when solving trigonometric function problems, the method of finding the maximum value by using auxiliary angle formula was not mastered, which led to many detours in solving problems.

Third, the depth of thinking is not enough.

Mathematics is a subject that needs deep thinking. If the depth of thinking is not enough, it will lead to the understanding of mathematical knowledge staying on the surface and unable to really grasp its essence. I find that when I solve problems, I often simply apply formulas or methods without thinking deeply about the mathematical ideas and methods contained in the questions.

For example, when I was studying calculus, I didn't understand the ideas and methods of calculus deeply, which led to my inability to use them flexibly when solving problems. In addition, when learning probability statistics, we did not think deeply about the characteristics and significance of various probability distributions, which led to the inability to accurately understand the meaning of the questions when solving problems.

In view of the above problems, I think the following measures should be taken to improve and improve them:

First, strengthen the study of basic knowledge.

In the future study, I should strengthen the study and consolidation of basic knowledge. For example, when learning functions, I should clearly understand the definition domain and corresponding relationship of functions and master the properties of various basic elementary functions. When learning series, we should firmly grasp the general formula and summation formula of series, and be able to use these formulas flexibly for calculation and derivation.

Second, strengthen the training of problem-solving methods.

In the future study, I will strengthen the training and summary of problem-solving methods. For example, when solving solid geometry problems, I should be familiar with the proof method that the straight line is perpendicular to the plane, and I can choose the appropriate proof method according to different situations. When solving trigonometric function problems, you should be familiar with the method of finding the maximum value by using the auxiliary angle formula, and you can choose the appropriate method to solve it according to different situations.