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…

Learning progressions represent a set of skills or pieces of knowledge ordered sequentially from least to most complex. This sequence can guide instruction as well as assessment content. This paper describes several useful methods for validating learning progressions including validating the relationship between the progression and student…

Social studies teachers face pressures from demands for greater emphasis in the areas of multicultural aspects of the world population, expansive technological changes, citizenship and moral education, and accountability for basic competence. The latter demand offers an opportunity to return to the broad perspective of teaching students not "what…