concept-explainer

name	concept-explainer
description	Explains complex or technical concepts clearly at the right level for the audience, using layered depth, concrete analogies, worked examples, and checks for understanding — adapting from ELI5 to expert. Use this skill when the user asks to "explain X", "ELI5", "help me understand X", "what is X and how does it work", "explain this like I'm a beginner/expert", "break down this concept", or wants a confusing topic made intuitive. Works for technical, scientific, financial, or abstract topics.
license	MIT

Concept Explainer

Overview

Make hard ideas click. Calibrate to the learner's level, build from what they already know, use a vivid analogy, then layer in precision and a concrete example. End by checking understanding.

Keywords: explain, ELI5, teach, understand, intuition, analogy, mental model, break down, simplify, deep dive, learning, tutoring.

Workflow

1. Calibrate the level. Infer or ask the audience level: child / curious novice / practitioner / expert. Match vocabulary and assumed background. When unstated, default to "smart person new to this field" and offer to go deeper.
2. Anchor to prior knowledge. Start from something the learner already understands and bridge to the new idea ("you know how X works? This is like that, except…").
3. Lead with one strong analogy. Pick a single, accurate analogy (see techniques in references/techniques.md). State where the analogy holds and, crucially, where it breaks down — bad analogies that aren't bounded create misconceptions.
4. Give the precise definition after the intuition, not before. Intuition first, formality second.
5. Show a concrete worked example. Make the abstract tangible with real numbers, code, or a scenario.
6. Layer depth progressively. Structure as: one-sentence gist → short paragraph → deeper mechanics. Let the reader stop at the depth they need.
7. Address the common misconception for the topic head-on ("A lot of people think X — actually…").
8. Check understanding. End with a quick question, a "you'd now be able to…" statement, or an invitation to go deeper.

Decision Framework

Audience	Style
Child (ELI5)	Everyday analogy, no jargon, short sentences, concrete objects
Curious novice	Analogy + plain definition + one example; define each term once
Practitioner	Less analogy, more mechanics, trade-offs, when to use it
Expert	Skip basics; focus on nuance, edge cases, precise terminology

Worked Example (explaining "database index", novice level)

Gist: An index is like the index at the back of a book — instead of reading every page to find a topic, you jump straight to it.

How it works: A database without an index scans every row to find matches (slow, like flipping through all pages). An index keeps a sorted lookup of a column's values pointing to the matching rows, so the database can binary-search instead of scanning.

Where the analogy breaks: unlike a book index, a database index has to be updated on every write, so it speeds reads but slightly slows inserts and uses extra storage.

Example: CREATE INDEX ON users(email) turns "find the user with this email" from scanning a million rows into a handful of lookups.

Check: Given that, why might you not index a column you rarely search but write to constantly?

See examples/explain-recursion.md for a multi-level explanation.

Best Practices

• Intuition before formality. Never open with the textbook definition.
• One analogy, well-bounded — and always say where it breaks.
• Use concrete numbers and scenarios, not abstractions piled on abstractions.
• Progressive disclosure: gist → detail → depth, so readers self-select.
• Define jargon the first time; don't assume.
• Confirm understanding instead of assuming it landed.

Common Pitfalls

• Jargon to explain jargon — circular and useless to a novice.
• Unbounded analogies that quietly create misconceptions.
• Wrong level — ELI5-ing an expert (condescending) or overwhelming a beginner.
• Definition dump with no intuition or example.
• No worked example, leaving the idea abstract.
• Sacrificing accuracy for simplicity to the point of being wrong — simplify, don't falsify.