The structure existed in my head. Which problem a student was struggling with, which part of it, what to give next, in what order to build understanding — I made these judgments naturally throughout every lesson. The problem was that it lived only in my head. No one else could replicate it. So I turned it into a system.
01 | Instructors Who Can't Solve the Problems They Teach
Instructors who don't understand the structure
In Japan's competitive exam prep industry, there are instructors who cannot solve the very problems they teach. This is not an exception. They learned to perform a method and teach it — without understanding why it works. When a student gets stuck, they have no way to approach the problem from a different angle.
No comprehension means no real response
The same applies to assessing student ability. An instructor can observe that a student "can't do it" — but has no means to understand what specifically cannot be done, or why. So the response becomes imprecise: add more problems, repeat, scold. These are not responses based on understanding. They are substitutes for it.
Wrong classification leads to abuse
At the root of this structure is a classification problem. Japanese cram schools have commercially constructed meaningless subject divisions — categories that cannot identify which part of a student's thinking is missing. A subject division is a classification of outcomes, not of process. When instructors who don't understand apply pressure, and students who don't understand are pushed past their limits, the result is an environment that induces educational abuse. This is examined in detail in a separate article.
This is not a Japanese problem
The structure — a label that stops thinking — is not unique to Japanese education. It exists in the business world as well. SWOT analysis is the clearest example. The process begins with "we need to do a SWOT analysis." Without asking why the analysis is needed, or what it should produce, the goal becomes filling in the framework. The focal point is absent. Only the method moves. This is structurally identical to the meaningless subject divisions of Japanese cram schools. When a label comes first, thinking stops.
02 | The Design Philosophy of the Database
Classified by process, not by name
This database does not classify problems by subject name. It classifies them by the thinking process: focal point, processing method, and result.
The focal point is reverse-engineered from the answer
The focal point is determined by working backwards from the optimal answer. A person who can see the structure of the answer knows precisely where to look in the problem. From that focal point, multiple processing methods become visible. Which method to choose depends on the student's ability and available resources. Some paths are dead ends. Knowing which paths are accessible and which are not — that is what accurate assessment of ability looks like.
Embedding judgment into the system
By classifying problems through this structure — across what will ultimately be a database of approximately 100,000 problems — it becomes possible to identify not "what a student can and cannot do" but "which part of their thinking circuit is functioning and which is missing." From that identification, the next problem to give is determined automatically. This is the core of automation: embedding judgment into a system so that accurate responses no longer depend on a single person's intuition.
Ready to deploy
The analytical algorithm is complete. Problem registration can begin immediately. The moment there is a place to deploy it, it can be activated.
CreateBase instruction is built on this design philosophy.
It begins with understanding the structure of a student's thinking.
03 | This Is Not an Exam Tool
The purpose changed in the process of building it
This database was built to begin with for Japanese middle school entrance exams. In the process of building it, it became clear that its application extends far beyond that.
It is a system for structuring thinking circuits
The structure of focal point, processing method, and result does not apply only to arithmetic problems. Business decisions, social problem analysis, legal interpretation — the underlying structure is the same. Arithmetic is the purest entry point for training this structure, because numbers are abstract. They strip away ambiguity and leave only structure. What this database systematizes is not arithmetic method. It is the thinking circuit itself.
04 | Japan, the Rest of the World, and Where This Goes
Japan — the experiment is complete
Japanese cram schools systematized meaningless subject divisions and passed them down as correct education across generations. The people who believed those divisions were right went on to educate the next generation. The negative spiral is now complete. This is not a failed system. It is the end state of a legacy system that refused to update its operating parameters. The wall cannot be removed from within. I have no further interest in the improvement of Japanese education.
The rest of the world — the gap can be filled
Elsewhere, it is different. Those who learned equation processing mechanically have a gap rather than a wall. There is no barrier blocking the construction of a thinking circuit — only an absence. A gap can be filled. This database can be deployed directly into that gap. It can reach places I cannot reach alone, delivered as a system rather than as a person.
Anyone who can build this database can build any system. The ability to implement focal point, processing method, and result as a structure is not limited to arithmetic. This is only the beginning.
05 | What This Framework Can Do
If focal point, processing method, and result can be implemented as a structure, the applications extend well beyond arithmetic. The following are examples.
Education and learning
Automated problem generation, quantification of academic ability, automatic design of individual curricula, efficiency and time compression in learning. Identify which part of a student's thinking is missing. Deliver the right problem in the right order. Accurate response without human judgment as intermediary.
Law and institutional systems
Legal interpretation can also be described through this structure: focal point (what is being asked), processing method (applicable statutes and precedents), result (judgment). The same applies to structural analysis of contracts, and classification of case law by focal point.
Medicine and diagnosis
Diagnostic support by reverse-engineering from symptoms to cause. Systematization of treatment options. The same structure functions as a system to support clinical judgment.
Business and decision-making
Structuring management decisions, systematizing risk analysis, designing hiring and evaluation criteria. Decisions that appear complex become navigable the moment the focal point is accurately defined.
Social problems and policy
Identifying the focal point of policy problems, structural analysis of social issues. Problems that remain unsolved because they are discussed in fragments become tractable once organized as structure.
The structure of all phenomena is, at its core, the same. Define the focal point. Select the processing method. Produce the result. Those who can implement this circuit will build what comes next.
06 | AI Made This Possible
I have been using AI for two months. In those two months of dialogue, the structure that existed in my head was articulated in language for the first time. It was also in this process that the true application of this database became visible.
For a person with a functioning thinking circuit, AI is a tool of a scale that has never existed before. Someone who can define a focal point accurately can reach places that were previously unreachable alone. But someone without that circuit will simply move faster in the wrong direction.
A drug can be medicine or poison depending on how it is used. AI is the same. The problem is not AI. The problem is the thinking circuit of the person using it.