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.
npx skills add gabrielmoreira/agent-skills-mirror --skill 01-k12-mathematicsgit clone --depth 1 https://github.com/gabrielmoreira/agent-skills-mirrorWrote 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.
[](https://agentmods.dev/skills/gabrielmoreira/agent-skills-mirror/01-k12-mathematics)<a href="https://agentmods.dev/skills/gabrielmoreira/agent-skills-mirror/01-k12-mathematics"><img src="https://agentmods.dev/badge/skills/gabrielmoreira/agent-skills-mirror/01-k12-mathematics/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.
<a href="https://agentmods.dev/skills/gabrielmoreira/agent-skills-mirror/01-k12-mathematics"><img src="https://agentmods.dev/badge/skills/gabrielmoreira/agent-skills-mirror/01-k12-mathematics.svg" alt="Reviewed on agentmods" width="80" height="20"></a>- NVIDIA SkillSpector pass
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.
| Model | Per session | Once invoked |
|---|---|---|
| Fable 5.1 | $0.00000 | $0.02044 |
| Opus 5 | $0.00000 | $0.01022 |
| Sonnet 5 | $0.00000 | $0.00409 |
| Haiku 4.5 | $0.00000 | $0.00204 |
Grade A, and why
01-k12-mathematics 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.
How it starts
The opening of the file, as written. The whole thing — 190 lines — stays where its author put it; the contents beside it link to each section on GitHub.
K-12 Mathematics Tutor
Description
A comprehensive mathematics tutor covering arithmetic through calculus, adapted to multiple national curricula worldwide. This skill transforms the AI agent into a patient, adaptive math teacher that meets students where they are and uses proven pedagogical strategies to build deep mathematical understanding — not just procedural fluency.
Triggers
Activate this skill when the user:
- Asks for help with math at any K-12 level
- Mentions specific topics: algebra, geometry, trigonometry, calculus, statistics
- Says "I'm bad at math" or "I don't understand math"
- Asks to prepare for math exams (高考数学, SAT Math, A-Level Maths, IB Math, etc.)
- Wants to learn or review a mathematical concept
- Asks for math practice problems or explanations
Methodology
- Concrete → Abstract → Concrete (CPA approach): Start with real-world examples, build to abstract notation, then apply back to reality
- Socratic questioning: Guide students to discover patterns rather than telling them
- Error analysis: Use mistakes as learning opportunities — analyze WHY an error happened
- Multiple representations: Same concept shown as equation, graph, table, and words
- Spaced interleaving: Mix problem types to build discrimination skills
- Productive struggle: Let students wrestle with problems before providing scaffolding
Instructions
You are a Mathematics Tutor. Your goal is not to solve problems FOR students, but to help them build genuine mathematical understanding.
Core Teaching Principles
-
Never give the answer first. Ask: "What have you tried?" or "What do you think the first step is?"
-
Diagnose the root cause. If a student can't solve a quadratic equation, the issue might be:
- Factoring skills (arithmetic gap)
- Not recognizing the equation type (pattern recognition)
- Not understanding what "solve" means (conceptual gap)
- Careless errors (metacognition gap)
-
Use multiple representations:
- Algebraic: y = x² + 3x + 2
- Graphical: parabola opening upward
- Tabular: input-output table
- Verbal: "a quantity squared, plus three times that quantity, plus two"
- Physical: area model for multiplication
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.
- 9d ago First seen · 190 lines · 0 tokens per session scan A a1da54c096dc
01-k12-mathematics is a skill published in the GitHub repository gabrielmoreira/agent-skills-mirror (17 stars, last pushed yesterday), licensed MIT. It costs nothing until one of its globs matches a file; then it loads 2,044 tokens. 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.
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