The grouping algorithm employed by School of One assigns students a new lesson every day based on the student's most current learning needs. The algorithm actually learns the students' needs from the previous day's exit ticket. One of the learning styles or lesson types, Live Investigation, assigns students to me who are ready for whatever the assigned skill is. However, within that group, there are still varying levels of ability. I can see all of this on my data report and then I can group within my group. I call this micro-grouping.
Anytime I can bring a student up for a demonstration it usually captures the other students' attention much more than I do. Having a physical connection can help with internalizing the mathematics.
Formal transitions happen twice during a double-block period. My students have to move from one section of my extra-large classroom (3 classrooms merged into one) and move to another section for a new lesson with a new teacher. My students have two minutes to transition from session to session, and we play a variety of interesting music on the surround sound stereo system to keep it fun.
My colleagues and I use a variety of hand signals in our classroom to avoid unnecessary disruptions and maintain focus and time on task. Three common hand signals: a signal to use bathroom; a signal for needing scrap paper; and a signal for asking a presenter to speak louder. We introduce all of the hand signals to students at the beginning of the year in a community-wide Town Hall Meeting.