I teach at a university. Right now I'm teaching online, via webcam. I'm open about my stuttering and ask my students to let me know if it ever gets in the way. Other than that I talk and stutter openly. One of the reasons I'm open about my stuttering and ask them to ask for clarifications if they cant understand me, is because I'm worried that they might not bring it up for fear of offending me. I don't want them to miss out on information because my stuttering interfered with their comprehension. I"m not sure what age group you teach, so I don't know if this method will work for you.