Originally Posted by

**victorxstc**
Depending on the types of your variables, you might prefer one approach. ANCOVA tries to find the relationship of two continuous variables while adjusting for a categorical variable. In your case, your variables are not continuous. Your response variable seems to be ordinal (but I don't see you have clarified that). If the response variable is continuous, but your independent variables are categorical, ANOVA should be used. Here you have two independent variables: gender and instructional method. Both seem categorical. So I think ANOVA is better.

Besides, you should check whether ANOVA requirements are met or not. If not, you should consider a non-parametric alternative.