Yes, it's the page that loads when you do Gear > More, the link structure is %wwwroot%/course/admin.php?courseid=#
The goal, as with restoring the Turn editing on button, is to reduce the clicks to one.
Adding it to Nav Drawer is great. But when the drawer is closed then having it somewhere else it is constantly available like the Turn editing on button would be perfect.
The idea is: avoid dropdowns and multi-clicks and restore the same type of direct access as the Admin block -- actually better, because the new flat menu style for Admin menus shows so much more at once and makes many tasks quicker and more direct than the Admin block where submenus had to be opened a lot. But it takes more work to get to the flat menu now.
I've tried showing people the 'This course' menu in the theme but most people react to it with 'That's good but it's yet another place' meaning there are now four places to have to go - Gear, Gear + More, Nav Drawer, This course - and each has different but somewhat over lapping options. It's too confusing.
Having a constant and standard access via the Nav Drawer and one other button to the course admin menu would be clean and simple.