xiaozhi-math-gradient-trainer

To assess a student's math thinking ceiling, locate their current mastery level across textbook, gradient, and competition problems to pinpoint their exact boundary before generating a DNA-driven training sequence.

A DNA-driven gradient training sequence uses a student's math error DNA to generate five progressive math questions that escalate in difficulty from their mastered level to systematically surpass their thinking ceiling.

Track long-term middle school math progress by maintaining a growth diary that records the complete learning trajectory and integrates weekly proficiency checks to generate a structured growth report.

Yes, you can use gradient training for middle school math competition preparation as the three-level problem positioning specifically includes competition problems to test and push the student's upper thinking boundaries.

The math error DNA module integrates with weekly proficiency checks by using the identified error patterns to inform the ongoing proficiency assessments and update the student's structured growth report.