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arXiv:2605.13695 ★ 88 May 13, 2026

RTLC (Research, Teach-to-Learn, Critique): A Three-Stage Feynman-Style Prompt for Accurate Judgments

Key result

An LLM doesn't think before answering; it starts generating text right away, imitating thought. It's like a student in an exam who writes down the first thing that comes to mind without rereading the question: confident, but off the mark. The RTLC method lets you get accurate judgments from an evaluator model without fine-tuning, through a forced step: "explain the topic to someone who knows nothing about it". The trick: the instruction "find the gaps in your explanation" switches the model from "output a pattern" mode to "build understanding" mode, and that one step alone delivers +9.4 percentage points of judgment accuracy.

01

TL;DR

RTLC is a technique that makes a model first explain the topic to a beginner, then generate several candidate answers, and finally play the critic and pick the best one. Three sequential steps within one session, no fine-tuning, no external tools.

The key finding: models answer hard questions worst when you just ask them point-blank. The reason: the model isn't required to understand the topic before answering, so it jumps straight to generating an answer and skips the understanding part. It's like answering an exam question without reading it all the way through. The result: confident but wrong answers.

The fix: before answering, ask the model to "explain the topic to someone who knows nothing about it", find the gaps in that explanation, and simplify. It's a direct port of the Feynman technique into a prompt. That step alone adds +9.4 percentage points of accuracy. Generating 10 candidates and a final critique add another +4.6 pp.

Want this for your own case? Apply this study to your task: AI adapts its method to what you are working on and writes the prompt.

02

Method Blueprint

STEP 1 (Research: a template, no model call):
  Wrap the task in a Teach-to-Learn scaffold →
  system prompt: "explain the topic to a beginner, find the gaps, simplify"

STEP 2 (Teach-to-Learn: 10 parallel requests):
  The model answers 10 times at temperature 0.4 →
  10 independent candidate answers with reasoning

STEP 3 (Critique: 1 final request):
  All 10 candidates + the original question → critic model →
  analysis of each candidate's strengths/weaknesses →
  final answer at temperature 0

Steps 2 and 3 are separate requests. Step 1 is just prompt preparation.

⚡ Quick version: Step 1 in a single request already delivers 70% of the effect.
03

Example in Practice

Task: You're hiring a product manager. Two finalists sent in a written case study breakdown. You need to pick the better one.

Prompt (quick version, Step 1 only):

Before you start the analysis, go through four Feynman-method steps:

1. STUDY the material. Carefully read both breakdowns and the evaluation questions.
2. EXPLAIN the topic to a beginner. Imagine explaining it to a friend with no product experience: 
   what makes a good PM case breakdown, what matters in it and what doesn't.
3. FIND THE GAPS. Where did doubts show up in your explanation? 
   Go back to the material and close them.
4. SIMPLIFY AND CONCLUDE. Briefly state what separates "excellent" from "good".

Only after these four steps, answer the question:

QUESTION: Who did better and why?

CANDIDATE A'S BREAKDOWN:
[paste text]

CANDIDATE B'S BREAKDOWN:
[paste text]

At the end, give your answer in this format: {"verdict": "A" or "B", "main_reason": "[one sentence]"}

Result: The model will first show the four steps, an "understanding narrative" of the topic. In step 3 it will find weak spots in its own logic. After that comes a detailed comparison of the two candidates with concrete arguments and a structured final verdict. The breakdown will be far more detailed and accurate than with a direct "who's better?" question.

04

Why It Works

The LLM weakness: a model doesn't "think" before answering; it generates text as an answer, following a pattern right away. When the question is hard, it easily reproduces a confident but shallow answer: it grabs the most common pattern from training and outputs it. No check for understanding ever happens.

The LLM strength: models are very good at generating explanations for beginners. That's a huge category of text in their training data. When we ask for an explanation from scratch, the model builds a coherent chain of reasoning, and it's exactly during that process that contradictions and gaps "pop out".

How the method uses this: the instruction "explain it to a beginner, find the gaps" switches the mode from "output an answer" to "build understanding". In effect, we create scaffolding: a forced intermediate step that keeps the model from jumping to a conclusion before it has worked through the material.

Control levers:

What to change Effect
explain to a beginner → explain to an expert Fewer basic explanations, deeper nuances
N=10 candidates → N=3 Cheaper in tokens, you lose ~4 pp of accuracy
Drop the critic step You can use a majority vote instead (slightly weaker)
Give the critic a specific role "You are a skeptical investor" → sharper critique
05

Prompt Template

Full version (all three steps, several requests)

Requests 1-10, Teach-to-Learn:

Before answering, go through four mandatory steps:

STEP 1, STUDY: carefully read everything below.
STEP 2, EXPLAIN TO A BEGINNER: imagine explaining this to a friend with no experience in {topic}: 
what matters here, how it works, what affects what.
STEP 3, FIND THE GAPS: where is your explanation uncertain? 
Go back to the material and close those gaps.
STEP 4, SIMPLIFY: the main conclusion in one paragraph.

After the four steps, answer the question:

QUESTION: {task}

MATERIAL:
{text or options to analyze}

Give your answer in this format: {"final_answer": "{expected format}"}

Request 11 (Critic):

You are a critical analyst. You have been given {N} candidate answers to the same question.

For each candidate:
- Strengths
- Weaknesses and logical errors
- What's missing

Then: compare all candidates and pick the best-justified one. 
Write a final answer that uses the best of all candidates 
and avoids their flaws.

ORIGINAL QUESTION:
{task}

CANDIDATE ANSWERS:
{paste all answers from requests 1-10}

Final answer in this format: {"final_answer": "{expected format}"}

Placeholders: - {topic}: the subject area of the task (product decisions, legal texts, technical solutions) - {task}: the specific question you need answered - {text or options}: the material to analyze - {N}: number of candidates (10 recommended, minimum 3) - {expected format}: what you expect in the answer (A or B, yes or no, option number)


🚀 Quick start: paste this into your chat:

Here is an RTLC prompt template. Adapt it to my task: [your task]. 
Ask me questions to fill in all the fields.

[paste the template above]

The LLM will ask about the task's subject area, what exactly you're evaluating, and what answer format you need, because the Teach-to-Learn structure has to know the domain and the critic has to understand the output format. It will take the pattern and adapt it to your task.

06

Original from the Paper

Algorithm 1: RTLC — Research, Teach-to-Learn, Critique

Input: prompt q, response pair (A, B), judge LLM f, N=10, T_cand=0.4, T_crit=0
Output: final verdict in {A, B}

Stage 1 (Research):
  sys_msg := teach_to_learn_system_prompt()
  user_msg := pairwise_prompt(q, A, B)

Stage 2 (Teach-to-Learn):
  for i in 1..N (in parallel):
    candidates[i] := f(sys_msg, user_msg, temperature=T_cand)
    verdict_i := parse_json_final_answer(candidates[i])

Stage 3 (Critique):
  crit_sys := critic_system_prompt()
  crit_msg := original_question + serialize(candidates)
  final := f(crit_sys, crit_msg, temperature=T_crit)

return parse_json_final_answer(final)
Algorithm 2: Critique reducer

Input: prompt q, candidates {c_1, ..., c_N}, judge LLM f, T_crit=0
Output: final verdict in {A, B}

crit_sys := critic_system_prompt()
serial := ""
for i in 1..N:
  serial += "Answer Option " + str(i) + ":\n" + c_i.content + "\n\n"

crit_user := "Original Question: " + q + "\n\nAnswer Options:\n\n" + serial
out := f(crit_sys, crit_user, temperature=T_crit)

verdict := parse_json_final_answer(out)
return verdict

Context: The researchers tested RTLC on the task of comparing two answers (pairwise judge). The algorithms describe the exact logic: Stage 2 generates N independent verdicts, Stage 3 is a single critic call that sees all candidates at once and synthesizes the final answer.

07

Limitations

⚠️ Token cost: The full version (N=10 + critic) needs roughly 47 times more tokens than a regular request. On paid APIs that adds up. The scaffold alone (Step 1) is roughly 4 times the cost of a regular request.

⚠️ Systematic errors: If the model is systematically wrong on a given type of task, all 10 candidates will make the same mistake. The critic won't help. The method fixes the scatter of errors, not every error.

⚠️ Only one model: The study was run on Claude 3.7 Sonnet. How stable the results are on other models is unknown.

⚠️ Tasks with an objective answer: The method was tested on tasks with a correct answer (math, code, facts). On subjective tasks (judging creative work, matters of taste), the gain may be smaller.

⚠️ Chats without system prompts: The full version uses a system prompt (sys_msg), which plain ChatGPT doesn't expose; you get it only via the API and in Claude. In ChatGPT you'll need to fit everything into the user prompt.

08

How They Studied It

The researchers used the public benchmark JudgeBench: 350 hard tasks where you have to pick the better of two answers (A or B). The trick with JudgeBench is that the correct answer is objective: mathematically verified, unit-tested code, or factually correct. Not "what people liked" but "who is actually right". On these tasks even GPT-4o barely beats random guessing.

They took Claude 3.7 Sonnet and tested four conditions: a vanilla prompt, the Teach-to-Learn scaffold alone, the scaffold + a 10-vote majority, and full RTLC with the critic. The surprise was in the proportions: they expected the three steps to contribute roughly equally, but got 9.4 + 3.7 + 0.9 pp. Almost all the gain came from the teaching scaffold: what looked like "just a different prompt format" turned out to be the most powerful lever. The critic added only 0.9 pp, but in the 24 rare cases where it disagreed with the majority vote, it was right 18 times out of 24. In other words, the critic is more accurate exactly where the majority gets it wrong. That's what makes it valuable: not the average case, but rescuing the minority of correct answers.

09

Adaptations and Extrapolations

💡 Adaptation for reviewing your own writing

Same mechanics, but for evaluating your own texts instead of other people's answers.

Before critiquing the text, go through four steps:

STEP 1, STUDY: read the whole text as a reader, not an editor.
STEP 2, EXPLAIN TO A BEGINNER: what is the author trying to say? Retell the gist in your own words 
to someone who hasn't seen the text.
STEP 3, FIND THE GAPS: where did your retelling come out fuzzy or forced? 
Go back to the text and find the reason.
STEP 4, CONCLUSION: one sentence on the text's main problem (if any).

Only after these steps, give specific edits.

TEXT:
{paste text}

🔧 Technique: Step 1 alone as a universal add-on

The cheapest way to apply RTLC is to simply add the Teach-to-Learn instruction to any hard question:

Before answering, explain the topic [{question topic}] 
as if you were explaining it to a smart friend with no specialized training. 
Find the places where your explanation gets fuzzy, then go back and clarify. 
Only after that, answer the question: {question}

That's 70% of the effect in 1 request with no extra calls.


🔧 Technique: an "honest critic" instead of a rubber-stamp critic

By default, the critic has no incentive to disagree with the majority. To sharpen the critique, add a role:

You are a skeptic. Your job is to find where the majority is wrong. 
Start from the assumption that most of the candidates are wrong. 
Prove otherwise or confirm the suspicion.

This strengthens the "rescue minority" effect, which is exactly what the critic is for.

10

Resources

Paper: RTLC — Research, Teach-to-Learn, Critique: A three-stage prompting paradigm inspired by the Feynman Learning Technique that lifts LLM-as-judge accuracy on JudgeBench with no fine-tuning

Author: Andrea Morandi, Cisco Systems, Inc. — [email protected]

Key references from the paper: - JudgeBench [1]: Tan et al., a benchmark for evaluating LLM judges - Self-Consistency [5]: Wang et al., multiple reasoning chains - Self-Refine [6]: Madaan et al., a generate-critique-revise loop - Tree of Thoughts [10]: Yao et al., tree search over solutions - Constitutional AI [7]: Anthropic, principle-based self-critique

Research digest

Key result

An LLM doesn't think before answering; it starts generating text right away, imitating thought. It's like a student in an exam who writes down the first thing that comes to mind without rereading the question: confident, but off the mark. The RTLC method lets you get accurate judgments from an evaluator model without fine-tuning, through a forced step: "explain the topic to someone who knows nothing about it". The trick: the instruction "find the gaps in your explanation" switches the model from "output a pattern" mode to "build understanding" mode, and that one step alone delivers +9.4 percentage points of judgment accuracy.

Principle

Three steps in one session, no external tools. Step one, Research: the model explains the topic to a beginner, looks for holes in the explanation, and simplifies. Step two, Teach-to-Learn: the same task is solved 10 times at a slightly higher temperature, giving you 10 independent candidates. Step three, Critique: all 10 candidates go into a final request where the model picks apart each one's weak spots and delivers a final judgment. Breakdown of the gain: the first step alone gives +9.4 pp, adding candidates and the critic gives another +4.6 pp, for about 14 pp of net gain from prompt changes alone. Too lazy to make three requests? A single step with the beginner explanation in one prompt already delivers about 70% of the effect.

Why it works

A model's training data contains a huge layer of explanations for beginners: textbooks, tutorials, forum threads that walk through things "from scratch". When you ask it to explain simply, the model builds a coherent chain of reasoning, because that's how those texts are structured. With a direct question, the model grabs the most common answer pattern and outputs it, with no check for understanding. In the process of explaining, contradictions surface that the model skates right past in a direct answer. The "find the gaps" step amplifies this: the model explicitly checks its explanation for holes before moving to a conclusion. This isn't prompting magic; it's a structural barrier that keeps the model from jumping to an answer without understanding.

When to apply

Tasks that need an accurate evaluation or comparison → picking the better of two texts, answers, strategies or candidates, especially when both options look fine and the difference isn't obvious. Works well for reviews, candidate selection, evaluating proposals, comparative analysis. NOT a fit: simple factual questions with a single clear answer; there the extra step just burns tokens.

Mini recipe

1. Add a preamble before the question: four explicit steps: study the material, explain to a beginner what matters here and how it works, find the gaps in your explanation, state the main conclusion in one paragraph. 2. Specify the domain: in the "explain to a beginner" step, add specifics: "explain to a friend with no financial analysis experience" or "with no UI design experience". Without this, the explanation will be too generic. 3. Ask the question only after the steps: the question itself and the material to analyze go at the end, after all four steps. This is essential. 4. For maximum accuracy: run the request 10 times, then add a separate critic request: give it all 10 candidates and ask it to find each one's weak spots and pick the best. For a quick mode, one request with the steps is enough.

Examples

[BAD]: `Here are two analyst reports. Whose analysis is more accurate and why?` [GOOD]: `Before answering, go through four steps. Step 1, study: carefully read both reports. Step 2, explain to a beginner: imagine explaining to a friend with no financial analysis experience what separates strong analysis from weak, what matters and what doesn't. Step 3, find the gaps: where did doubts show up in your explanation? Go back to the reports and close them. Step 4, simplify: the main conclusion in one paragraph. After the four steps, answer: whose analysis is more accurate and why? Final answer in this format: {"verdict": "A" or "B", "main_reason": "[one sentence]"} [Report A]: ... [Report B]: ...`

In plain words

The idea behind RTLC is that models, like people, often spout confident nonsense when they try to answer off the cuff. The problem is baked into the architecture: a model doesn't "think" before opening its mouth; it just slaps together the most likely next word. So on hard tasks it produces shallow but very convincing nonsense. To fix this, the researchers borrowed a trick from physicist Richard Feynman: if you want to really understand something, try explaining it to a five-year-old.

It's like asking a friend to pick the better of two projects, and without digging in at all, they point at the one with the shinier pictures. To keep them from messing up, you make them first retell the task in their own words, then sketch three different ways to evaluate it, and finally tear their own arguments to pieces. Technically they spend more time, but that's the only way all the fluff gets shaken out and what's left is a genuinely balanced decision.

The method runs in three stages: Research (the model studies the context), Teach-to-Learn (it explains the topic to a "beginner" to structure its knowledge) and Critique (it switches into nitpicky-critic mode). Instead of handing down a verdict right away, the model first lays a foundation of understanding the task. The numbers on the JudgeBench test back it up: this layered check, with zero fine-tuning, lifts answer accuracy to a level that used to require complex tuning of the model's weights.

Even though the method was tested on judging other models' answers, the principle is universal. You can and should plug it into any complex prompt: from hiring and analyzing legal contracts to choosing a marketing strategy. If the task isn't just "write some text" but "make a decision", make the model teach and critique first. That turns it from a random-phrase generator into a sensible expert.

Bottom line: stop expecting instant, correct answers to hard questions from a model; by definition it can't do that. Use the three-step RTLC pattern to squeeze maximum logic out of the model without extra engineering costs. Either you spend some extra tokens on the model's "thinking", or you get confident nonsense that looks like truth but leads to a dead end. Whoever learns to make AI doubt itself gets the most accurate result.

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Based on RTLC (Research, Teach-to-Learn, Critique): A Three-Stage Feynman-Style Prompt for Accurate Judgments arXiv:2605.13695

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