1. Analyze story problems and number sentences to determine their mathematical demands and recognize student responses in terms of cognitive development.
2. Assess students’ thinking and design problems that will develop students’ understanding of concepts and skills.
3. Facilitate discussions that provide a window into children’s thinking, strengthen children’s ability to reason about arithmetic, and build their capacity for algebraic reasoning.
4. Use open and true/false number sentences to develop students’ understanding of mathematical concepts and skills.