Towards Designing Effective Diagnostic Mathematics Test for Identifying Weaknesses in Synthesis of Skills

Adapt results in combinatorial design theory from the context of software testing to the context of testing mathematics skills. The work will involve:

1. Laying out theoretical foundation for modelling mathematics skills testing

2. Designing language for specifying models

3. Developing software that takes a model and generates appropriate test question sets that provide coverage for all possible pairs of skill interaction.