The first question you will neeefd to ask is whether you are looking at paired data (i.e before/after scores) or general data (i.e. looking at before and after in a non-paired way as separate random variables).
In the first you look at individual paired trends which you can an overall view of change between each student and in the second, you look at the distributions of scores without looking at specific paired data.
Both can use means to get some level of change of scores and standard inferences on means or difference of means can apply.
The actual test will depend on the nature of the data and its properties.