math-intuition-builder

math-intuition-builder is a skill for Claude Code from parcadei/Continuous-Claude-v3. It costs 16 tokens per session (905 once invoked), scanned A, original, MIT.

A guide that builds understanding of mathematical ideas through plain explanations, examples, visual views, and analogies.

In plain words
What is it for?
Use it to restate a problem, explore simple examples, predict the answer's form, visualize relationships, and simplify abstract ideas.
Why use it?
It helps learners understand what a concept means before applying formulas or calculations.

Skill for Claude Code

Written for Claude Code: installed under .claude/.

Good fit Use it to restate a problem, explore simple examples, predict the answer's form, visualize relationships, and simplify abstract ideas.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/parcadei/continuous-claude-v3/math-intuition-builder
About the project

Continuous-Claude-v3 is a Claude Code development environment that preserves working context between sessions, coordinates specialized agents, and stores project knowledge through ledgers, handoffs, and analysis tools. It is for people using Claude Code on ongoing or complex software work. Its catalogue entries are the skills, agents, hooks, plugin, and setting that provide its workflows and orchestration.

parcadei/Continuous-Claude-v3 · 3,938 stars · on GitHub

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add parcadei/Continuous-Claude-v3 --skill math-intuition-builder
Clone the repo
git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3

Made for: Claude Code.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for math-intuition-builder

README.md
[![agentmods](https://agentmods.dev/badge/skills/parcadei/continuous-claude-v3/math-intuition-builder/github.svg)](https://agentmods.dev/skills/parcadei/continuous-claude-v3/math-intuition-builder)
Your own site
<a href="https://agentmods.dev/skills/parcadei/continuous-claude-v3/math-intuition-builder"><img src="https://agentmods.dev/badge/skills/parcadei/continuous-claude-v3/math-intuition-builder/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for math-intuition-builder

Your own site · 80×15
<a href="https://agentmods.dev/skills/parcadei/continuous-claude-v3/math-intuition-builder"><img src="https://agentmods.dev/badge/skills/parcadei/continuous-claude-v3/math-intuition-builder.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 16 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 905 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00016 $0.00905
Opus 5 $0.00008 $0.00452
Sonnet 5 $0.00003 $0.00181
Haiku 4.5 $0.00002 $0.00090

Measured 9d ago against content hash cdf600974c46, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-12, from the pricing page.

Security

Grade A, and why

math-intuition-builder scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 9d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

.claude/skills/math/math-intuition-builder/SKILL.md · 159 lines

How it starts

The opening of the file, as written. The whole thing — 159 lines — stays where its author put it; the contents beside it link to each section on GitHub.

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

  1. What are you trying to find? (restate)
  2. What happens with small numbers? (specialize)
  3. What shape should the answer be? (anticipate)
  4. What does this look like visually? (represent)
  5. What's the simplest version? (reduce)
  6. 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]

Read the full file on GitHub · 159 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 9d ago First seen · 159 lines · 16 tokens per session scan A cdf600974c46

Subscribe to this mod's changes

math-intuition-builder is a skill published in the GitHub repository parcadei/Continuous-Claude-v3 (3,938 stars, last pushed 7mo ago), licensed MIT. It adds 16 tokens to every session and 905 once invoked, about $0.0001 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-03.

Related

Other skills, from other repositories

tooluniverse-organic-chemistry

Organic chemistry reasoning guide for reaction product prediction, mechanism analysis (electrophilic/nucleophilic substitution, addition, elimination, pericyclic, radical), and spectroscopy interpretation (1H/13C NMR, IR, MS). Reasons from first principles (electron flow, kinetic vs thermodynamic) rather than…

mims-harvard/ToolUniverse · 86 tokens

scaffold-exercises

Scaffold a graded problem set with sections, problems, worked solutions, and short "why this matters" explainers across analytical, empirical, and coding types. Use when user says "make a problem set on X", "scaffold exercises for this lecture", "create practice problems", "generate homework with a solution key"…

pedrohcgs/claude-code-my-workflow · 101 tokens

assess-holistic-health

Conduct temperament-based health assessment from Hildegard von Bingen's Causae et Curae. Evaluates the four temperaments (sanguine, choleric, melancholic, phlegmatic), elemental correspondences (air, fire, earth, water), and provides dietary and lifestyle recommendations for rebalancing. Use when understanding…

pjt222/agent-almanac · 113 tokens

analyze-prime-numbers

Analyze prime numbers using primality tests, factorization algorithms, prime distribution analysis, and sieve methods. Covers trial division, Miller-Rabin, Sieve of Eratosthenes, and the Prime Number Theorem. Use when determining whether an integer is prime or composite, finding prime factorizations, counting or…

pjt222/agent-almanac · 91 tokens

construct-geometric-figure

Perform a ruler-and-compass construction with step-by-step justification for each operation, producing a constructible geometric figure from given elements. Covers classical Euclidean constructions including perpendicular bisectors, angle bisectors, parallel lines, regular polygons, and tangent lines. Use when given…

pjt222/agent-almanac · 92 tokens

derive-theoretical-result

Derive a theoretical result step-by-step from first principles or established theorems, with every step explicitly justified and special cases checked. Use when deriving a formula or theorem from first principles, proving a mathematical statement by logical deduction, re-deriving a textbook result for verification or…

pjt222/agent-almanac · 86 tokens