Rhythm Changes is a common 32-bar chord progression in jazz, originating as the chord progression for George Gershwin's "I Got Rhythm."
Jazz is a useful analogy to some aspects of IBL teaching. You have your big goals and plans for what to do in class, and as the teacher you are the holder of the vision for the course. But what happens in class depends on the people there. Two sections of the same course can often be different on a day-to-day basis. What an instructor does depends on what happened the class before, and being able to "improvise" in the moment to take advantage of what students are saying and doing. That is, be open and able to dance with the spirit.
The word improvisation sometimes has the connotation that things are just made up on the spot. That's not the case in Jazz improvisation or teaching, and we can unpack what improvisation means. In Jazz improvisation is a studied, practiced, musical art form. Improvisation is within a context, a set chord progression, and there are standard practices and key notes. From these "ingredients" comes the creative artistic part, which I cannot explain and merely enjoy as a fan of Jazz.
The connection to teaching is that we have our plans for the days and weeks of the course. What happens in a lesson or a specific activity depends on what students do and where they are at. This is where teaching improvisation (or flexibility) comes in. Depending on what a student says, we adapt to maximize the learning opportunities present. Mistakes, half starts, full solutions, alternative takes, are all valued discoveries and items for discussion. The students respond to the teacher, and the teacher adapts to the students. The whole group tries to do math and create learning.
"In music, silence is more important than sound." - Miles Davis
We can teach using silence, and teaching using silence can mean several different things. One is to ensure students have time to think for themselves. Another is to let students to discuss with one another, where the teacher is not talking and instead listening to student thinking. A third meaning of teaching with silence is letting problems do the talking. This is when a rich task has the imbedded learning through engagement in the problem-solving process. Rather than the teacher explaining it all, the process of working through a problem can be a way knowledge and skills are learned.
Silence can go too far, of course. A song with 3 minutes of pure silence isn't music. I'm arguing for a balance of saying enough to keep things going or set the stage, but not too much that I'm doing all the playing and students are sitting on the side.
So what about our detailed plans? Miles Davis might say, "So what." Plans are preparation, and we should expect to be flexible and present in the moment. Plans are the practice, the setup, the choices about what we're working on, and how we're going to work together. If things go well, our students have the time and space to comp and solo in class, and we learn to work together as an ensemble be more creative, thoughtful, and respectful.
IBL is like Jazz, and one of our jobs as teachers is to be prepared for rhythm changes.