The importance of teacher effectiveness is well supported by studies that document variation in teachers' abilities to contribute to student achievement gains. All else being equal, students taught by some teachers experience greater achievement gains than do students taught by other teachers. In response to initiatives to increase educator…

We establish an interesting connection between the number of runs and the length of the first run when tossing a fair coin.

Directional dependency is a method to determine the likely causal direction of effect between two variables. This article aims to critique and improve upon the use of directional dependency as a technique to infer causal associations. We comment on several issues raised by von Eye and DeShon (2012), including: encouraging the use of the signs of…

In the second of a series of "how-to" essays on conducting qualitative data analysis, Ron Chenail argues the process can best be understood as a metaphoric process. From this orientation he suggests researchers follow Kenneth Burke's notion of metaphor and see qualitative data analysis as the analyst systematically considering the "this-ness" of…

Data analysis methods, both numerical and visual, are used to discover a variety of surprising patterns in the errors associated with successive approximations to the derivatives of sinusoidal and exponential functions based on the Newton difference-quotient. L'Hopital's rule and Taylor polynomial approximations are then used to explain why these…

In the third of a series of "how-to" essays on conducting qualitative data analysis, Ron Chenail examines the dynamic tensions within the process of qualitative data analysis that qualitative researchers must manage in order to produce credible and creative results. These tensions include (a) the qualities of the data and the qualitative data…

This paper briefly outlines a project about integrating labour market information in a learning analytics goal-setting application that provides guidance to students in their transition from education to employment.

In 1916 Robert Frost published his famous poem, "The Road Not Taken," in which he muses about what might have been had he chosen a different path, made a different choice. While counterfactual arguments in general can often lead to vacuous nowheres, frequently in statistics the data that are not presented actually exist, in a sense,…

Nowadays more and more modern medical degree programs focus on self-directed and problem-based learning. That requires students to search for high quality and easy to retrieve online resources. YouTube is an emerging platform for learning human anatomy due to easy access and being a free service. The purpose of this study is to make a quantitative…

In this article we explore the mechanisms through which one group of preservice teachers engage in "Collective Property Noticing"--a phenomenon in which group members integrate individual contributions such that the group, as a unit, notices mathematical properties of their collective image. Drawing on improvisational theory to help to…

A challenge associated with traditional mixture regression models (MRMs), which rest on the assumption of normally distributed errors, is determining the number of unobserved groups. Specifically, even slight deviations from normality can lead to the detection of spurious classes. The current work aims to (a) examine how sensitive the commonly…

This article describes a method based on Pratt's measures and demonstrates its use in exploratory factor analyses. The article discusses the interpretational complexities due to factor correlations and how Pratt's measures resolve these interpretational problems. Two real data examples demonstrate the calculation of what we call the…

The development of a standards-based assessment policy represented a significant cultural shift in assessment practice at one university. Concurrently, the implementation of a policy framework represented a significant procedural shift in policy development and review. The assessment policy was the first policy scheduled to be reviewed through the…

Reaction kinetics is an axiomatic topic in chemistry that is often addressed as early as the high school course and serves as the foundation for more sophisticated conversations in college-level organic, physical, and biological chemistry courses. Despite the fundamental nature of reaction kinetics, students can struggle with transforming their…

Owing to the increasing diversity of assessments in higher education, feedback should be provided to students in a format that can assist future and alternative work. This study aimed to assess the effectiveness of the Essay Feedback Checklist on future alternative assessments. Participants were assigned to one of two groups, one of which…