Our goal is to design lessons that support the learning of students with a wide range of understanding. In heterogeneous LMR classrooms, a teacher’s role is to foster mathematical thinking and facilitate the ’travel of ideas’ through whole class and small group discussions.
Three design principles guided the curriculum design in support of this goal.
- Communication: eliciting student thinking and building on student ideas, affording students opportunities to contribute mathematical ideas
- Connections: provoking cognitive conflict and engaging students in analysis and resolution, affording students opportunities to make connections among mathematical ideas
- Equity: differentiating instruction in shared mathematical contexts, affording all students opportunities to engage with core mathematical content