@kate_hill , I'm building an online course right now that uses MyStatsLab. I've got it integrated so that the MyLabs button shows up in the left navigation, have direct links to the e-textbook and Assignments page, and could have the gradebook linked (MyLabs --> Canvas, but no two-way syncing). Overall what I've found is that myStatsLab really doesn't integrate that well back into Canvas. They *say* they do, but when you dig deeper it's more like they provide a link from Canvas to myLabs so that student's don't have to log in twice, and will send gradebook information to Canvas (yet, it's ugly and doesn't do what I'd like it to do), but otherwise it doesn't seem to really "integrate" with Canvas.
For my particular course I'm using MyLabs for testing and homework, but doing discussions and projects in Canvas. I'm also providing extra instructional content - video, handouts, extra-resources - in Canvas. For the gradebook I'm either going to manually move grades from MyLabs to Canvas or (possibly, fingers-crossed) get our Internet Systems Specialist to do some programming that will move them over automatically for me.
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