Most SoTL is conducted in the classroom making the choice of research methodology sometimes difficult. However, as Boyer pointed out, systematicity is the key characteristic.
One of the most common research methods used it SoTL is Action Research.
Check out qualitative methods such as:
Focus groups
Open ended surveys
Structured or unstructured interviews
Participant observation
Observation
Case studies
Content analysis – thematic
Action research
Step one: Define a problem
Step tow: Read the Literature
Step three: Write the Literature Review
Step four: Create a Research Question of Hypothesis
Step five: Chose a Research Method
Step six: Collect your Data
Step seven: Analyze You Data
Step eight: Draw Conclusions
Step nine: Write a Paper
Step ten: Submit Paper to a Conference or Publication
For more books on this topic please search under subject "Action Research in Education."