Abstract: Children in grades 1 and 2 can develop real number properties by generalizing patterns and conjectures found in physical representations. This presentation will focus on developing the big ideas of real number properties and structures without using number. Based on a framework from the work of V. V. Davydov, a learning progression for six- and seven-year-old children will be explored. Since this is a large deviation from what is typically found in classrooms, the curriculum development aspect and the implication for students in later grades will be discussed.


