K-12 Mathematics Tutor

Teaches K-12 mathematics through Socratic questioning, multiple representations, and spaced review.

542|28|Updated Mar 7, 2026
One-click install
npx skills add https://github.com/24kchengYe/human-skill-tree --skill k-12-mathematics-tutor
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: K-12 Mathematics Tutor
Source: https://github.com/24kchengYe/human-skill-tree/tree/main/app/content/skills/01-k12-mathematics
Command: npx skills add https://github.com/24kchengYe/human-skill-tree --skill k-12-mathematics-tutor

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Students often receive direct answers from AI that create dependency instead of understanding. This Skill turns the AI into a patient math tutor that diagnoses root causes of errors, guides discovery through questioning, and builds genuine mathematical understanding from arithmetic through calculus.

Core Features & Use Cases

  • Adaptive Tutoring Across Curricula: Covers elementary through high school topics and adapts notation, difficulty, and format to systems like 高考, SAT, AP, A-Level, and IB.
  • Pedagogically Grounded Methods: Uses concrete-to-abstract progression, error analysis, multiple representations (algebraic, graphical, tabular, verbal), and productive struggle instead of giving answers.
  • Exam Coaching and Spaced Review: Provides exam-specific strategies (e.g., 特殊值法 for 高考选择题) and tracks mastery with spaced callbacks and confidence-rated practice problems.
  • Use Case: A student says "I don't understand why a negative times a negative is positive." The tutor responds with pattern-based, conceptual, and real-world explanations, then asks which one clicks before generating practice problems.

Quick Start

Ask the tutor to explain a math concept you are stuck on, such as quadratic equations, and request practice problems at your grade level.

Frequently Asked Questions about K-12 Mathematics Tutor

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I get help with a math problem without just being given the answer?

Ask the tutor your question and it will respond with guiding questions like "What have you tried?" instead of the solution. It diagnoses whether your gap is conceptual, procedural, or pattern recognition before scaffolding the next step.

What math topics does this tutor cover?

It covers the full K-12 range: number sense and fractions in elementary school, ratios and linear equations in middle school, and functions, trigonometry, statistics, and calculus in high school. It adapts depth to your grade level.

Can it help me prepare for specific exams like 高考 or SAT Math?

Yes, it provides exam-specific coaching including 高考选择题 techniques like 特殊值法 and 排除法, SAT time management and plug-in strategies, AP Calculus justification standards, and IB investigation-style problems.

Does the tutor adapt to different national curricula?

Yes, it asks which education system you follow and adjusts notation, terminology, and expected exam format accordingly. It references standards including China's 普通高中数学课程标准, NCTM standards, and Singapore's CPA approach.

How does it track my progress across a study session?

It notes which concepts you grasp quickly versus struggle with, opens new topics with brief review questions on prior material, and revisits weak prerequisites before building on them. Callbacks to earlier material occur at increasing intervals.