The reason we learn math is to develop mathematical thinking. Mathematical thinking refers to the thought process of analyzing and solving problems in a logical and systematic way! This is not just about solving math problems but also a method that can be applied to solving complex problems in everyday life and thinking logically.
GPT and DeepSeek scored 60 and 72 points, respectively, on last year’s CSAT math exam. These scores correspond to grades 3 and 4, respectively, and with such scores, Korean high school students cannot enter universities in Seoul.
|
Grade |
Ranking by percentage |
The lowest
acceptable score |
Remarks |
|
1 |
100 ~ 96 |
92 |
|
|
2 |
95 ~ 89 |
83 |
|
|
3 |
88 ~ 77 |
73 |
|
|
4 |
76 ~ 60 |
59 |
DeepSeek |
|
5 |
59 ~ 40 |
41 |
GPT |
|
6 |
39 ~ 23 |
27 |
|
|
7 |
22 ~ 11 |
22 |
|
|
8 |
10 ~ 4 |
18 |
|
|
9 |
3 ~ 0 |
0 |
|
Why does an excellent AI get a failing score in math? There are several factors.
AI (GPT, DeepSeek) demonstrates high accuracy in solving basic and intermediate-level math problems (2-3 point questions in the Korean CSAT). However, it often struggles with more complex 4-point problems. A key reason for this discrepancy is its tendency to overlook problem constraints. This report explores the causes of these errors and suggests solutions to improve accuracy.
Why AI (GPT, DeepSeek) Overlooks Constraints in 4-Point Math Problems
1) Lack of Deep Constraint Interpretation
AI (GPT, DeepSeek) processes constraints as auxiliary information rather than critical conditions for problem-solving.
Unlike humans, it does not naturally ask, "Why is this condition important?"
Example: A function's domain is limited, but AI (GPT, DeepSeek) may proceed with general methods without considering this limitation.
2) Logical Oversights in Problem-Solving
AI (GPT, DeepSeek) often misses checking conditions at every step.
It assumes previously read constraints are inherently applied rather than explicitly verifying them.
Example: In a probability problem, AI (GPT, DeepSeek) might apply a general formula without verifying the independence of events.
3) Unnecessary Complexity in Solutions
Instead of using constraints to simplify problems, AI (GPT, DeepSeek) sometimes takes a generic and unnecessarily complicated approach.
4) Incorrect Selection of Applicable Methods
AI (GPT, DeepSeek) may apply inappropriate methods because it does not intuitively recognize the best approach based on constraints.

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