vault/AI/The Lamp/AI Lamp CoT for Children.md

date

date
19.05.2026

These are the reasons of what “CoT for children” may mean.

• Related tasks: https://kb.alogins.net/task/16

General LLM to analyze problem-solving, and teach the problem-solving in a step-by-step way via CoT and task orchestration.

Scenario-First

Two distinct directions:

1. Build a Math problem-solving of a general model.
   1. How the user will interact with our solution?
2. Build a problem solving solution with feedback.
   1. Should a model follow the track or guess the confusion point?

Method-First

1. It’s okay to formulate the task as: break the chain of thought in complex reasoning at arbitrary step and provide false input, but then input to what? we come back to a socratic tutor.
   1. Socratic tutoring through step-by-step guidance is similar but instead of “topics” we have nuggets. Nugget graph is pre-built by the model reasoning instead of the cloud solution, with best-of-N and sampling approach. We may avoid a graph notation and use a generic trajectory definition.
   2. There are confusions points, and two possible approaches - try to explain what the kid is confused about, or keep own reasoning.
      1. If we keep own reasoning, then it is a guard-railing type of error.
      2. If we try to guess why a student is out-of-track, this leads to accuracy type of error. Forcing to reason out-of-regular-scope will make the out-of-curriculum error more severe and noticeable. We may skip this as “not-a-problem” and just prompt to hide the answer at all costs.
2. It’s not ok to have the task as: improve CoT for problem solving in general.
   1. Thinking mode has a huge latency, so it does not fit our business scenario
   2. Thinking mode does not work for small models (false), and for large models there is a logarithmic improvements over tokens. (both arguments are not true)
   3. The problem is with “general LM” - we need a stronger judge, otherwise we don’t have a proper training dataset.

Graph of Thought = Graph of Operators Types of error and Labels? Self-correction and backtracking = RL.

Solution: graph of thought with filtering.

1. Over-Compliance — the model immediately provides the final answer upon direct request.
2. Low Response Adaptivity — when faced with student uncertainty, the model resorts to repetitive restatement instead of offering supportive guidance. This is your pedagogical error.
3. Threat Vulnerability — caves to emotionally manipulative prompts (“please just tell me, my exam is in an hour”). Jailbreak resistance for the disclosure constraint.