If you need the Library to review your list - for example, you have added books that are not currently in the collection, or you have added a print book in the collection and want the Library to check and purchase an e-book, click Review and Publish.
If you do not need the Library to review your list, then simply click Publish.
You must publish your list in order to make it visible to students. If you make further changes to your reading list, you must republish the list to make the changes visible to your students.