This paper explores how a group of pre-service elementary school teachers training to become mathematics teachers for elementary schools arrived at generalizations based on patterns. Two representative problems were investigated with these preservice teachers. The focus of this study was how these preservice teachers analyze and symbolize…

Background: Over the past two decades, inclusive STEM (science, technology, engineering, and mathematics) high schools have emerged as one strategy for increasing and broadening participation in STEM majors and careers, particularly for currently underrepresented students in those fields. However, limited research has examined whether strategies…

Background: Inclusive STEM (traditionally known to stand for "Science, Technology, Engineering, and Math") high schools are emerging across the country as a mechanism for improving STEM education and getting more and diverse students into STEM majors and careers. However, there is no consensus on what these schools are or should be,…

The merits and hazards of minimum competency testing for the individual student or for student groups are discussed. Types of groups which lend themselves to group application and some important factors in determining the parameters of a group are discussed. Ten critical issues related to minimum competency testing are identified: (1) scope of…