Here's an earlier discussion on assessment. It doesn't exactly answer your question about what we provide for assessment, but does illuminate some thinking on the topic. Making of Meaning: Considering Assessment If you scan through that, you can see if some of the comments are relevant to what you're thinking about. You could add more questions or ideas on either that forum or this one... Thanks for a great question!
We've just had the privilege of a PL day with Lorna Earl, one of the seminal figures in the assessment field. She, along with others, identifies three contexts for the term
Assessment for learning
Assessment as learning
Assessment of learning
Traditionally we have administered context 3, but context 1 is rich and fruitful, and I won't be bold to summarise it. Here is one source of her material, gathered for her Tasmania tour.