Misconception Analysis
The wrong answer matters less than the reason it happened
A useful tutor does not stop at correct or incorrect. MathRoutine separates calculation errors from setup errors, wording confusion, repeated skill misses, and higher-order reasoning blocks.
Product Evidence
Attempt Diagnosis
Equation and answer are checked separately
A student can have the right model and wrong arithmetic, or the right answer with weak written reasoning. Those need different interventions.
Misconception Memory
Repeated patterns are treated differently from one-off mistakes
When related misses appear across recent attempts, MathRoutine surfaces recurrence level, related misses, and repeated skill tags.
Spaced Review
A miss becomes a targeted review plan
The feedback can recommend one similar problem now and another later, instead of throwing the student into random new practice.
Tutoring Flow Example
The important part happens after the student tries
MathRoutine is designed to separate the wrong answer from the reason behind the wrong answer, then make the next practice narrower and more useful.
Problem
A student has $32. A binder costs $5 and each notebook costs $3.50. What inequality shows how many notebooks the student can buy?
Student Response
The student writes 5n + 3.50 <= 32 because 5 appears first in the sentence.
Diagnosis
This is a setup misconception: the fixed binder cost and the repeated notebook cost were swapped.
Intervention
Require the student to define n first, then mark which cost repeats for every notebook.
Next Practice
Practice two more budget inequalities with fixed fee plus repeated cost, then compare with one equation problem.