Science, Technology, Engineering, and Mathematics (STEM) education has become a key focus in the U.S. government's public education agenda. Many STEM degrees require the successful completion of undergraduate introductory organic chemistry (O-Chem), which is notorious for its difficulty and high attrition rate. Concept Maps (CM) have been used as…

In an elementary undergraduate abstract algebra or group theory course, a student is introduced to a variety of methods for constructing and deconstructing groups. What seems to be missing from contemporary texts and syllabi is a theorem, first proved by Edouard Jean-Baptiste Goursat (1858-1936) in 1889, which completely describes the subgroups of…

Researchers who make tutoring systems would like to know which sequences of educational content lead to the most effective learning by their students. The majority of data collected in many ITS systems consist of answers to a group of questions of a given skill often presented in a random sequence. Following work that identifies which items…

The purpose of this training workbook is to provide the user with an understanding of Analysis of Covariance (ANCOVA) sufficient to allow him to identify situations in which it can increase the credibility and the statistical power of the analysis. The module provides a conceptual, nonmathematical overview of the purposes of ANCOVA. The…

Norms govern the criteria by which students decide what is good and what is not good, and align their learning trajectories accordingly.We found that the high-school students' norm is to produce working, but not necessarily error-free, programs and to argue for their correctness solely on the basis of a few executions. Therefore, they prefer…