If you want to improve your math ability, do the wrong questions several times, or challenge difficult problems, or cultivate interest, it is suggested to classify them according to your own situation (this is the method I use). For example, sloppy questions, questions that are not very good at, questions that need to be emphasized, difficult questions, interesting questions, etc. Or according to the degree of difficulty: such as basic questions, improvement questions, finale questions, etc. (This method seems to be more suitable for physics-)
If you plan to collect wrong questions, make up a dictionary for your own reference, which can be classified as:
Pure algebraic problems: factorization, equations (groups) and inequalities (groups), synthesis problems, etc.
Geometric proof questions: about right triangle, about circle, about coordinate system, comprehensive questions, etc.
Combination of numbers and shapes: correlation function image, correlation geometry calculation, synthesis problem, etc.
Applied mathematics problems: related statistics and probability, related scheme design, etc. (Note that it is not a math application problem! )
In fact, mathematics questions are the above four categories ... Of course, mathematics is a whole, and it cannot be torn apart just because it needs to be classified. The key lies in the relationship between knowledge points.
We don't advocate sorting, filling in short answers and so on. This is purely based on the topic and can't summarize and contact various problems well.
Of course, I strongly object to classifying wrong questions according to each unit or knowledge point in the textbook! All good questions are comprehensive and relevant!