Agent skill

Math Intuition Builder

by parcadei in parcadei/Continuous-Claude-v3

Develops mathematical understanding through examples, visualization, and analogy

MITAuto-check passed

Install Math Intuition Builder

skills CLI

$ npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI

$ gh skill install parcadei/Continuous-Claude-v3 math-intuition-builder --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy

$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .claude/skills && cp -r skills-src/.claude/skills/math/math-intuition-builder .claude/skills/math-intuition-builder && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Paste into Claude Code

Install the "math-intuition-builder" agent skill from https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/math-intuition-builder into .claude/skills/math-intuition-builder/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "math-intuition-builder", then confirm the skill loads.

Claude Code copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.

$skill-installer

$skill-installer install https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/math-intuition-builder

Type this inside Codex. $skill-installer <name> installs a curated skill from openai/skills. The installer writes to $CODEX_HOME/skills (default ~/.codex/skills). Restart Codex if the skill does not show up.

skills CLI

$ npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder -a codex

Project install goes to .agents/skills/; add -g for ~/.codex/skills/.

GitHub CLI

$ gh skill install parcadei/Continuous-Claude-v3 math-intuition-builder --agent codex

Project scope by default (.agents/skills/); add --scope user for a personal install.

Manual copy

$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .agents/skills && cp -r skills-src/.claude/skills/math/math-intuition-builder .agents/skills/math-intuition-builder && rm -rf skills-src

Use ~/.agents/skills/ instead of .agents/skills for a personal install.

Codex skills documentation · loads skills from .agents/skills/

Paste into Codex

Install the "math-intuition-builder" agent skill from https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/math-intuition-builder into .agents/skills/math-intuition-builder/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "math-intuition-builder", then confirm the skill loads.

Codex copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.

skills CLI

$ npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder -a cursor

Project install goes to .agents/skills/; add -g for ~/.cursor/skills/.

GitHub CLI

$ gh skill install parcadei/Continuous-Claude-v3 math-intuition-builder --agent cursor

Project scope by default (.agents/skills/); add --scope user for a personal install.

Manual copy

$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .cursor/skills && cp -r skills-src/.claude/skills/math/math-intuition-builder .cursor/skills/math-intuition-builder && rm -rf skills-src

Use ~/.cursor/skills/ instead of .cursor/skills for a personal install.

Cursor skills documentation · loads skills from .cursor/skills/, .agents/skills/, .claude/skills/, .codex/skills/

Paste into Cursor

Install the "math-intuition-builder" agent skill from https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/math-intuition-builder into .cursor/skills/math-intuition-builder/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "math-intuition-builder", then confirm the skill loads.

Cursor copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.

gemini skills install

$ gemini skills install https://github.com/parcadei/Continuous-Claude-v3.git --path .claude/skills/math/math-intuition-builder

--scope user (default) or --scope workspace; --path is the subfolder of the repo that holds the skill; --consent skips the security confirmation prompt.

skills CLI

$ npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder -a gemini-cli

Project install goes to .agents/skills/; add -g for ~/.gemini/skills/.

GitHub CLI

$ gh skill install parcadei/Continuous-Claude-v3 math-intuition-builder --agent gemini-cli

Project scope by default (.agents/skills/); add --scope user for a personal install.

Manual copy

$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .gemini/skills && cp -r skills-src/.claude/skills/math/math-intuition-builder .gemini/skills/math-intuition-builder && rm -rf skills-src

Use ~/.gemini/skills/ instead of .gemini/skills for a personal install, then run /skills reload.

Gemini CLI skills documentation · loads skills from .gemini/skills/, .agents/skills/

Paste into Gemini CLI

Install the "math-intuition-builder" agent skill from https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/math-intuition-builder into .gemini/skills/math-intuition-builder/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "math-intuition-builder", then confirm the skill loads.

Gemini CLI copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.

GitHub CLI

$ gh skill install parcadei/Continuous-Claude-v3 math-intuition-builder

Installs for Copilot at project scope by default; add --scope user for a personal install. Preview a skill first with gh skill preview. Needs GitHub CLI 2.90.0 or later (public preview).

skills CLI

$ npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder -a github-copilot

Project install goes to .agents/skills/; add -g for ~/.copilot/skills/.

Manual copy

$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .github/skills && cp -r skills-src/.claude/skills/math/math-intuition-builder .github/skills/math-intuition-builder && rm -rf skills-src

Use ~/.copilot/skills/ instead of .github/skills for a personal install. Commit .github/skills so cloud agent and code review can use it.

GitHub Copilot skills documentation · loads skills from .github/skills/, .claude/skills/, .agents/skills/

Paste into GitHub Copilot

Install the "math-intuition-builder" agent skill from https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/math-intuition-builder into .github/skills/math-intuition-builder/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "math-intuition-builder", then confirm the skill loads.

GitHub Copilot copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.

skills CLI

$ npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder -a opencode

OpenCode documents no install command of its own. Project install goes to .agents/skills/; add -g for ~/.config/opencode/skills/.

GitHub CLI

$ gh skill install parcadei/Continuous-Claude-v3 math-intuition-builder --agent opencode

Project scope by default (.agents/skills/); add --scope user for a personal install.

Manual copy

$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .opencode/skills && cp -r skills-src/.claude/skills/math/math-intuition-builder .opencode/skills/math-intuition-builder && rm -rf skills-src

Use ~/.config/opencode/skills/ instead of .opencode/skills for a personal install.

OpenCode skills documentation · loads skills from .opencode/skills/, .claude/skills/, .agents/skills/

Paste into OpenCode

Install the "math-intuition-builder" agent skill from https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/math-intuition-builder into .opencode/skills/math-intuition-builder/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "math-intuition-builder", then confirm the skill loads.

OpenCode copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.

Facts

Skill name: math-intuition-builder
GitHub stars: 3.9k
Used in: 2 other repos
Token cost: ~923 tokens
SKILL.md length: 255 words
Files: 1
Skills in repo: 141
Repo updated: Jan 26, 2026
First seen: Oct 7, 2026
Licence: MIT

At a glance

Develops mathematical understanding through examples, visualization, and analogy

Works in 6 steps: Restate in own words → Try concrete examples → Anticipate the answer → …
SKILL.md covers When to Use, Process, Key Questions to Ask and Output Format, plus 2 more sections
Instructions only: no scripts, shell commands, URLs or credentials in SKILL.md

What it does

Math Intuition Builder is an agent skill from parcadei/Continuous-Claude-v3. Develops mathematical understanding through examples, visualization, and analogy

Its SKILL.md is about 920 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

The repository describes itself as: Context management for Claude Code. Hooks maintain state via ledgers and handoffs. MCP execution without context pollution. Agent orchestration with isolated context windows. The licence is MIT.

Example prompts

“Use the math-intuition-builder skill to develop mathematical understanding through examples, visualization, and analogy”
“/math-intuition-builder”

Workflow steps

6 steps, taken from the step headings in SKILL.md.

Restate in own words
Try concrete examples
Anticipate the answer
Visualize
Simplify
Find analogies

What it can do on your machine

Read from SKILL.md and the folder at commit d07ff4b. It shows what the files ask for, not the result of running them.

Tool permissions
Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.
From allowed-tools in the SKILL.md frontmatter.
Runs code
No scripts in the folder and no shell commands in SKILL.md.
From the folder's file list and the shell code blocks in SKILL.md.
Network
No URLs in SKILL.md.
From URLs in SKILL.md, links to its own repository left out.
Credentials
Names no API keys, tokens, secrets or passwords.
From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Math Intuition Builder loads about 923 tokens when it runs. Until then it costs about 26 tokens; SKILL.md has 255 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it: ~26
When it runs · the whole SKILL.md, loaded when a task matches: ~923

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check passed

The automated check found no risky patterns in SKILL.md.

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from parcadei/Continuous-Claude-v3 at commit d07ff4b, republished under its MIT licence (© parcadei). 255 words, ~923 tokens.

Download SKILL.mdSave it as .claude/skills/math-intuition-builder/SKILL.md (or your agent's skills folder).

name: math-intuition-builder
description: Develops mathematical understanding through examples, visualization, and analogy

Math Intuition Builder

When to Use

Trigger on phrases like:

"help me understand"
"build intuition for"
"what does this mean geometrically"
"why does this work"
"visualize this concept"
"concrete example of"
"what's the intuition behind"

Use before computation to establish understanding (Polya's "understand the problem" phase).

Process

Guide through Mason's specializing-generalizing cycle:

1. Restate in own words

Ask: "Can you state the problem in your own words?"

Forces re-processing
Catches misunderstandings early
Verifies shared understanding

2. Try concrete examples

Ask: "What would a concrete example look like?"

Specialize: try N=3, x=2, simple case
Ground abstract concepts in specifics
Use computation tools to verify examples

3. Anticipate the answer

Ask: "What form should the answer take?"

Work backwards from expected result
Constrain solution space
Check dimensional consistency

4. Visualize

Ask: "Can you draw a picture or diagram?"

Multiple representations matter
Algebraic <-> geometric <-> numeric
ASCII diagrams for quick sketches

5. Simplify

Ask: "What's a simpler version of this problem?"

Reduce dimension
Remove terms
Special cases reveal structure

6. Find analogies

Ask: "Does this remind you of anything you've solved before?"

Pattern matching across domains
Transfer solution strategies

Key Questions to Ask

What are you trying to find? (restate)
What happens with small numbers? (specialize)
What shape should the answer be? (anticipate)
What does this look like visually? (represent)
What's the simplest version? (reduce)
What's similar? (analogize)

Output Format

Understanding Checkpoint:

Restated Problem:
[User's words, verified]

Concrete Instance:
[Specific numerical example]

Visual Interpretation:
[Description or ASCII diagram]

Simplified Version:
[Special case that's easier]

Analogous Problems:
[Similar structures from other domains]

Intuition Summary:
[1-2 sentence "aha" insight]

Ready to Proceed:
- Next step: [specific action]
- Verify by: [sanity check]

Example Interaction

User: I'm trying to understand why eigenvalues matter for stability

Claude: Let's build intuition step by step.

Q1: Restate the problem?
> I have x' = Ax and want to know if solutions grow or shrink.

Q2: Let's try a concrete example.
A = [[0, 1], [-1, 0]]

Computing eigenvalues: +/- i (purely imaginary)

What happens to solutions?
> They neither grow nor shrink?

Exactly. Solutions are circles - oscillation without growth.

Q3: Now try A = [[-1, 0], [0, -1]]
Eigenvalues: -1, -1 (negative real)

What happens?
> Shrinks to zero.

Yes. Negative real parts = decay.

Q4: Visual pattern:

  Im
   |    x unstable
   |
---+------- Re
   |
   |    x stable

Re(lambda) < 0: stable (decay)
Re(lambda) = 0: marginal (oscillate)
Re(lambda) > 0: unstable (blow up)

Q5: Analogies:
- Springs: eigenvalues = decay rates
- Populations: growth/death rates
- Circuits: time constants

Intuition Summary:
Eigenvalues are the system's "DNA" - they encode fundamental rates.
Look at real parts for stability.

Ready to Proceed:
- Next: Analyze your specific A matrix
- Verify: trace(A) < 0 and det(A) > 0 implies stability (2x2 case)

Co-activates

Suggest alongside:

math-model-selector - if framework unclear
math-mode - for concrete computations
math-progress-monitor - during problem solving
Relevant domain skill - once intuition established

Files

Just SKILL.md in .claude/skills/math/math-intuition-builder of parcadei/Continuous-Claude-v3.

Open the folder on GitHubat commit d07ff4b

Used in 2 other repositories

We found 4 copies of this SKILL.md (exact, near-identical or edited) in other folders, from 2 other GitHub owners. This page covers the copy in parcadei/Continuous-Claude-v3, which our catalogue first saw on October 7, 2026.

Compare with similar skills

Math Intuition Builder next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Math Intuition Builder compared with similar skills
Skill	Stars	Used in	Tokens	Auto-check	Licence	Repo updated
Math Intuition Builder this skillparcadei/Continuous-Claude-v3	3.9k	2 repos	~923	Automated safety check: Pass	MIT	8 mo ago
Visualizeopenclaw/openclaw	392k	—	~2.4k	Automated safety check: Pass	MIT	today
Develop Feature Builderjsmastery-pro/skills	1.4k	—	~3.8k	Automated safety check: Notes	MIT	2 mo ago
Visual Stylecalesthio/OpenMontage	65k	—	~1.5k	Automated safety check: Pass	AGPL-3.0	5 days ago
D3 Visualizationnexu-io/open-design	100k	—	~523	Automated safety check: Pass	Apache-2.0	today
Visual Regressionthedaviddias/Front-End-Checklist	74k	—	~493	Automated safety check: Pass	MIT	2 days ago

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Questions about Math Intuition Builder

What does Math Intuition Builder do?

Develops mathematical understanding through examples, visualization, and analogy. Math Intuition Builder is an agent skill from parcadei/Continuous-Claude-v3.

How do I install Math Intuition Builder in Claude Code?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder -a claude-code`. Or copy the skill folder (.claude/skills/math/math-intuition-builder in parcadei/Continuous-Claude-v3) into .claude/skills/math-intuition-builder in your project. Claude Code loads it when a task matches its description.

How do I install Math Intuition Builder in Codex?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder -a codex`. Or copy the skill folder (.claude/skills/math/math-intuition-builder in parcadei/Continuous-Claude-v3) into .agents/skills/math-intuition-builder in your project. Codex loads it when a task matches its description.

Can I use Math Intuition Builder in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/math-intuition-builder, .gemini/skills/math-intuition-builder, .github/skills/math-intuition-builder and .opencode/skills/math-intuition-builder in your project.

What does Math Intuition Builder need to run?

SKILL.md names no scripts, command-line tools or credentials: Math Intuition Builder is instructions for the agent only.

Does Math Intuition Builder access the network?

SKILL.md contains no URLs. Any network use would come from the scripts or tools the agent runs. This is read from the text; nothing was executed.

Is Math Intuition Builder safe to install?

Our automated static check of SKILL.md found no risky patterns, such as piping downloads into a shell, reading credential files or hidden Unicode. It is not a guarantee. Review the folder before installing.

What licence does Math Intuition Builder use?

Math Intuition Builder is published under the MIT licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does Math Intuition Builder use?

About 923 tokens (SKILL.md is roughly 3.7k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Math Intuition Builder?

Skills that share tags, products or a category with Math Intuition Builder: Visualize (openclaw/openclaw, 392k stars), Develop Feature Builder (jsmastery-pro/skills, 1.4k stars), Visual Style (calesthio/OpenMontage, 65k stars) and D3 Visualization (nexu-io/open-design, 100k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Math Intuition Builder?

parcadei (a GitHub user) maintains it in parcadei/Continuous-Claude-v3, which has 3,940 GitHub stars. The repository holds 141 skills in this directory. The repository was last updated on January 26, 2026.

Source: parcadei/Continuous-Claude-v3 on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.

Install Math Intuition Builder

Facts

At a glance

What it does

Example prompts

Workflow steps

What it can do on your machine

Tool permissions

Runs code

Network

Credentials

Context cost

Safety

SKILL.md

Math Intuition Builder

When to Use

Process

1. Restate in own words

2. Try concrete examples

3. Anticipate the answer

4. Visualize

5. Simplify

6. Find analogies

Key Questions to Ask

Output Format

Example Interaction

Co-activates

Files

Used in 2 other repositories

Compare with similar skills

Similar skills

More from parcadei/Continuous-Claude-v3

Questions about Math Intuition Builder