We need your help to understand the question.

1) Are these errors that the teachers make, or the students of those teachers? Are you starting a new program, and using errors from current instructors you hope to develop a new program to avoid deficiencies in the new crop of mathematics teachers?

2) What kinds of errors are considered? Mistakes in teaching, incorrectly answered questions on final exams?

3) What are the consequences? The professor makes a type II error in describing the analysis of moth biodiversity in two coastal shrub communities and they are immediately jailed for life, or forced to take a 2 week class on data analysis?

4) What is the goal?

5) What are the data? Are these surveys, standard tests, surprise quizzes, observers placed in each classroom, video surveillance cameras?

Without context, the imagination runs wild.