In this paper, we describe our learning progressions approach to early algebra research that involves the coordination of a curricular framework, an instructional sequence, written assessments, and levels of sophistication describing the development of students' thinking. We focus in particular on what we have learning through this approach about…

A four-step approach to planning and implementing a physical education program for children centers on a theme, through which movement skills are developed and refined. In preplanning, a scope and sequence chart are a means of providing a general overview of the school year and the progression involved from year to year. The second step involves…