My colleagues and I have students write a Synopsis of their learning after every Independent Learning Zone period as well as after Live Investigations. The Synopsis acts as a reflective tool for both large and small concepts. I often tell my students to write what they actually learned or improved upon, not what they THINK I want them to write. I train my students to make a space for the Synopsis in their notebook headings. Occasionally, I will have my students read their Synopses out loud, but most often I walk around and do a quick check, as they are mostly a personal reflection for my students.
During Live Investigation and Task sessions (both teacher-led), I often use a whole group discussion format just like a traditional classroom. Blended or not, there is no substitute for discussion.
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.
The core ideas of my classroom are big ideas and themes that run through almost every lesson I teach. They are good math values, work values, life values. Whenever they come up during a lesson, I always explicitly make the connection. Next year, I plan on using a graphic for each value (some kind of eye graphic for core idea #1) to show, in my lessons, where the ideas come up.