1. Incorrect understanding: When solving a problem, you don't correctly understand the meaning of the topic or pay attention to the details of the topic, which leads to the wrong thinking or method of solving the problem.
2. Unclear concepts: unclear understanding of mathematical concepts or terms involved in the topic leads to mistakes in solving problems.
3. Unknown quantitative relationship: When solving problems involving quantitative relationship, the relationship between various quantities was not correctly understood, which led to mistakes in solving problems.
4, logic is not rigorous: when solving problems, thinking and reasoning are not in logical order, leading to confusion or mistakes in solving problems.
5. Arithmetic error: When solving problems involving calculation, problems are solved incorrectly due to improper calculation methods or calculation errors.
6. Unit conversion error: In the problems involving unit conversion, the unit conversion was not performed correctly, which led to the problem solving error.
7. Inappropriate drawing: When solving problems involving graphics, the graphics are not drawn correctly or the dimensions are marked, which leads to mistakes in solving problems.
8. Improper application of formulas: When solving problems involving formulas, formulas are applied incorrectly or inaccurately, which leads to mistakes in solving problems.
9. Non-standard answer: When solving a problem, the answer is not in the standard format or the answer is unclear, resulting in loss of points.
10. Inadvertent examination: When solving a problem, the problem was not carefully examined or the trap in the problem was not noticed, resulting in a problem-solving error.
How to improve the correct rate of mathematical application problems
1. Understand the meaning of the topic: First, make sure to fully understand the meaning and requirements of the topic, and make clear the mathematical concepts and terms involved in the topic. If there are multiple conditions or unknowns in the topic, it is necessary to carefully examine the topic and clarify the relationship between them.
2. Establish a mathematical model: according to the description of the topic, try to turn the actual problem into a mathematical model. This may involve building models, such as equations, inequalities or charts, to represent quantitative or spatial relationships. By establishing a mathematical model, we can understand the problem more clearly and find a suitable solution.
3. Analyze the relationship between quantity and quantity: Be good at analyzing the relationship between quantity and quantity when solving application problems. This may involve algebra, function, proportion and so on. By analyzing the quantitative relationship, find out the equivalence relationship or variable relationship in the topic, and then establish equations or inequalities to solve the problem.
4. Strengthen the calculation ability: Math application problems often involve calculation, so it is also important to improve the calculation ability. You can strengthen your computing ability by doing more exercises, playing math games or participating in math competitions. At the same time, we should master the basic calculation methods, such as multiplication and distribution law, extracting common factors and so on.
5. Pay attention to unit conversion: When it comes to unit conversion, pay special attention to the consistency of units. It is necessary to correctly convert units according to the requirements of the topic.
6, check the answer: after completing the question, you must develop the habit of checking the answer. You can check the accuracy of the answer by re-examining the question and verifying the consistency between the calculation process and the answer. If mistakes are found, they should be corrected and analyzed in time to avoid the recurrence of the same mistakes.
7. Summing up experience: In the process of solving mathematical application problems, we should be good at summing up experience. You can sort out the problems you have done and summarize the methods and skills to solve various problems. At the same time, we should analyze the mistakes that are easy to make in the process of solving problems and their reasons to avoid repeating the same mistakes.