I really like the idea of using problem-based learning in my math class. It helps students see the relevance of what they are learning.

I appreciated the section on rubrics. I've found that a detailed and clear rubric saves a lot of headache when grading. I also like the idea of using the rubric and having students do a self-evaluation or peer evaluation on an assignment. This is a method of active learning as well.

Active learning takes more of the instructor's and students' time. This can be met with pushback from both. It is important to remember that active learning is backed by research as more effective, so it is worth the time investment.

Active learning is the ideal format for effective learning. While lecture is traditional, especially in higher education, research has shown that is is less effective than active learning. In an online setting, active learning can be accomplished in a variety of ways (asynchronous discussion/debate, group projects, etc.).

There are different types of student behaviors and they can be tricky to detect online so instructors need to understand and monitor for those. I also learned about effective communication, particularly through email.

Asynchronous discussions are preferable in an online setting. Synchronous discussions can become difficult with large groups or factors like different time zones, slower readers, slower typists, etc. In all text-based discussions it's important to be aware that tone is important, and it is different than in person. Emojis, text formatting, and abbreviations like "LOL" can help signal intent.

Connecting with students online is not the same as connecting with students in person. An online instructor must project their presence and authority through virtual modes like introductions with a biography and credentials, and presenting yourself professionally through the computer screen. 

It's essential that instructors become knowledgeable about their CMS as well as course content and policies, but instructors will also likely use that information in different ways based on their personality and teaching style.