Hello, Whitney! When a student submits an assignment in a course, the submission notification appears on the teacher's dashboard - after that submission is graded, the notification on the dashboard will no longer appear. However, if a student re-submits that assignment the notification will repopulate back on the dashboard to remind you to grade the new submission.
In the Speedgrader for that assignment all submissions are listed under that student's name; assignments are listed in chronological order, with the newest submissions at the bottom of that student's drop-down menu. The newest submission becomes the default view when you open submissions for that student.
Although the new submission notifications will always appear on your Dashboard, you'll want to adjust your Notification Settings (specifically, the "All Submissions" option) if you want to receive email messages that submissions have occurred.
I hope this helps, let me know if you have any follow-up questions. Good luck!
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