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Mathematical Problem Solving

Category: General  ·  Sub-category: general-misc  ·  Last updated:
Polya's four-phase method applied to mathematical problems, extended with Schoenfeld's control/monitoring layer. Covers understand, devise plan, carry out, look back. Includes heuristics specific to math (specialize, generalize, vary the problem, introduce auxiliary elements) and the metacognitive discipline that separates routine computation from genuine problem solving.
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From the source SKILL.md

Mathematics is the original proving ground for problem-solving theory. Polya's How to Solve It introduced the four phases (understand, plan, execute, review) that every subsequent framework builds on. Schoenfeld showed that phases alone are insufficient: without active monitoring ("control"), novices spend 20 minutes on a dead end without noticing. This skill combines the two: Polya's phases as the scaffold, Schoenfeld's control as the supervisor.

What this skill does

Mathematical Problem Solving is a community-contributed Claude Code skill in the general-misc sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/mathematical-problem-solving/ and loads when your prompt matches the skill's trigger.

Who uses this skill

The Mathematical Problem Solving Claude Code skill is built for Claude Code users and developers across all disciplines looking for general-purpose AI assistance. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 196,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/mathematical-problem-solving
curl -L https://claudskills.com/skills/mathematical-problem-solving/SKILL.md \
  -o ~/.claude/skills/mathematical-problem-solving/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/mathematical-problem-solving/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/mathematical-problem-solving/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\mathematical-problem-solving\SKILL.md on Windows. See the full install guide for step-by-step instructions.

Telegram

📱 Install from your phone or desktop Telegram

Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →

Pro

One-click install via the desktop app

The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.

Pro

For the full experience including quality scoring and one-click install features for each skill — upgrade to Pro.

Frequently asked questions

How do I install the Mathematical Problem Solving Claude Code skill?
Install via the ClaudSkills desktop app (one click) or copy SKILL.md from the source repository to ~/.claude/skills/mathematical-problem-solving/SKILL.md and restart Claude Code. Both flows are detailed at claudskills.com/install/.
What does the Mathematical Problem Solving skill do?
Polya's four-phase method applied to mathematical problems, extended with Schoenfeld's control/monitoring layer. Covers understand, devise plan, carry out, look back. Includes heuristics specific to math (specialize, generalize, vary the problem, introduce auxiliary elements) and the metacognitive discipline that separates routine computation from genuine problem solving.
Is this skill free to install?
Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.
When should I use the Mathematical Problem Solving skill?
Use Mathematical Problem Solving when your Claude Code task falls under the General category — specifically in the general misc area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Mathematical Problem Solving" or describe the task and let Claude pick). Browse related skills at /category/general/.
What is a Claude Code skill and how does the Mathematical Problem Solving skill fit in?
A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Mathematical Problem Solving is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the General category. Learn more at /learn/what-is-a-claude-skill/.

Cite this skill

If you reference this skill in a blog post, paper, or documentation, you can cite it as:

APA
ClaudSkills. (2026). Mathematical Problem Solving [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/mathematical-problem-solving/
BibTeX
@misc{mathematical-problem-solving-2026,
  author    = {ClaudSkills},
  title     = {Mathematical Problem Solving [Claude Code skill]},
  year      = {2026},
  publisher = {ClaudSkills},
  url       = {https://claudskills.com/skills/mathematical-problem-solving/}
}

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Grade A · scanned 2026-09-28 — free static scan against the OWASP Agentic Skills Top 10.

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