Over the last decade, course-based undergraduate research experiences (CUREs) have been recognized as a way to improve undergraduate science, technology, engineering, and mathematics education by engaging students in authentic discovery. CUREs have been shown to have positive benefits similar to traditional undergraduate research experiences;…

This study explores kindergarten students' early notions of mathematical equivalence in the United States. In particular, it uses qualitative methods to examine the understandings children hold about the equal sign prior to formal instruction and how these understandings shift throughout an 8-week classroom teaching experiment designed to develop…

Two approaches to the process of guided discovery learning are compared for their impacts on concept understanding. One, referred to as design, emphasizes invention and draws on the simulation literature. The other, referred to as case analysis, focuses on discovery and draws on the case-based reasoning literature. Following a lecture on four…

As online courses become more common, practitioners are in need of clear guidance on how to translate best educational practices into web-based instruction. Moreover, student engagement is a pressing concern in online courses, which often have high levels of dropout. Our goals in this work were to experimentally study routine instructional design…

The purpose of this study is to first develop an 8-week college teaching module based on root competition literature. The split-root technique is adapted for the teaching laboratory, and the Sugar Ann English pea (Pisum sativum var. Sugar Ann English) is selected as the species of interest prior to designing experiments, either original or…

This paper discusses some of the issues involved and lessons learned in including a formal computer laboratory component in a freshman mathematics course for business administration students at Monmouth University (New Jersey), focusing on both the technical and the pedagogical aspects of the component of the course. The concept is modeled after…