Gradual Release of Responsibility
To With By is the same as I do We do You do.
I do We do You do was devised by Anita Archer.
In New Zealand the teaching of reading has always had the component To With By which is the gradual release of responsibility.
To is explicit teaching. The teacher might show how a number can be represented in different ways. Or the teacher might model how to measure an object, create symmetrical patterns or continue a number pattern.
With is what you do together with ākonga/learners. Teachers are listening to what ākonga/learners are saying or watching what they are doing and providing guidance or explicit instruction about concepts that are needed.
By is what the ākonga/learners do, either in a group, with a partner or alone. Ākonga/learners engage with the process of mathematics. They might be measuring or making reflection patterns with shapes. They might be creating their own number patterns. The teacher roves and provides guidance or explicit instruction as needed.