On the surface, the number line may seem like a basic tool with obvious applications. However, using a number line is not always intuitive for students. Students may not recognize significant features such as the size of the unit, how units are represented by iterated equal lengths, or that the accumulation of iterated units is a magnitude of…

The importance, and associated challenges, of faculty ownership and engagement in the assurance of learning (AoL) process are well documented in the literature. The authors demonstrate how schools can further their AoL objectives by encouraging and subsequently supporting organic, faculty-led initiatives. Specifically, we present a case study of a…

In a course emphasizing interactive technology, 19 students, including 18 mathematics education majors, mostly in their first year, reinvented the definition of limit of a sequence while working in small cooperative groups. The class spent four sessions of 75 minutes each on a cyclical process of guided reinvention of the definition of limit of a…

Supporting elementary student understandings of ideas related to Earth's Place in the Universe (ESS1) can be challenging, especially given the large time and distance scales involved with many of the concepts. However, with effective use of crosscutting concepts and science and engineering practices, important concepts within this content domain…