Math Tutor

Problem

Math explanations often break down when geometry, subtitles, and narration are produced separately. A static answer may be correct, but the explanation can still miss construction steps, highlight timing, and audio sync. This skill targets a reproducible math-tutoring workflow rather than a single rendered figure.

Workflow

• Math first: analyze the problem and derive geometric facts. The notes forbid coordinate-solving as the main method and prefer area relations, similarity, Pythagoras, rotation/reflection, or vector reasoning.
• Visualization plan: use HTML and SVG to draw the figure, show the construction process, and create a storyboard with narration and caption exit rules.
• Audio loop: generate TTS files such as audio_001_intro.wav, validate existence and nonzero duration, then write real durations back into the storyboard.
• Manim code generation: produce script.py from the scaffold, ensure each scene calls add_sound(), keep animation at least as long as audio, and apply timed subtitle exit.
• Layout discipline: use fixed zones, fact boards, transient registration, and cross-question inheritance helpers to avoid leftover objects and avoid wholesale FadeOut cleanup.

Scope and caveats

It is best for geometry proofs, construction demos, and narrated problem explanations. It is not a general coordinate-computation tool, and the workflow favors Text plus Unicode symbols over LaTeX, so complex formula styling may look more like annotated text than polished typesetting.