When Anonymous Grading is enabled, you mark the submissions without knowing who submitted them. When you mark the assignment you will see 'Anonymous Student' in place of their name or student number. The only identification may be within the submitted file itself if the student added that information so if you plan to mark anonymously then students should be instructed to not include identification information in their submitted files.

When the submission is marked then the Grade History will note that is was marked anonymously and My Grades will also indicate this:

Grade Details view (Instructor):

My Grades view (Student):

Anonymous Grading can be switched off at any time.

Click here for more information about anonymous grading.

Anonymous Grading for assignment video (02:34)