This study offers an approach to test equating under the latent D-scoring method (DSM-L) using the nonequivalent groups with anchor tests (NEAT) design. The accuracy of the test equating was examined via a simulation study under a 3 × 3 design by two conditions: group ability at three levels and test difficulty at three levels. The results for…

In this article we consider two triangles: one inscribed in another. We prove that the area of the central triangle is at least the harmonic mean of the areas of corner triangles. We give two proofs of this theorem. One is based on Rigby inequality and the other is based on the known algebraic inequality, to which we bring a new, geometric, proof.…

This paper is meant to give some kind of manual instruction for the use of audience response systems for performing peer instruction in class. The different aspects one has to take into account when trying to implement this method are presented. In all of the sections, additional links and references are provided. The author reports on and…

X-rays are such an important and familiar part of the electromagnetic spectrum, but is there a way to safely bring x-rays into your lecture? The demo team at the University of California at Berkeley seems to have managed this. They have an x-ray safe box that they use to produce a live x-ray image on a fluorescent screen. In this article, we…

Educational research and best practices make clear that rigorous and effective instruction requires teachers to tap into the creative zones of students--to make learning come alive and engage them meaningfully. The deeper teachers take students into their thinking around the content, the more engaged they are in the classroom and the more powerful…

This article describes the development and assessment of teaching strategies to enhance student professional identity development by shifting the pedagogical focus from content knowledge to the practice of interpersonal and conflict resolution skills, and reflection to create awareness, observe growth, and find meaning.

Assessment practices have been increasingly informed by a range of philosophical positions. While generally beneficial, the addition of options can lead to misalignment in the philosophical assumptions associated with different features of assessment (e.g., the nature of constructs and competence, ways of assessing, validation approaches). Such…

Despite strong evidence that students' self-regulated learning (SRL) capacity and performance predict important academic and lifelong learning outcomes, SRL remains largely absent from educational standards and curricula. That absence has implications for students, surely, but it also affects what pre-service teachers learn and how in-service…

The twin processes of collaborative inquiry and generative dialogue underpin two closely aligned and increasingly influential school leadership development programs, one in Alberta, Canada, and the other in New South Wales, Australia. This paper focuses primarily on the Australian program, the character of which has been strongly influenced by its…

Professors in a university setting questioned whether requiring students to take in-class notes for points toward their final grade would affect students' quiz scores post-lecture. Students were assigned to one of two conditions: no-notes-required control and required note-taking experimental. A mixed-design analysis of variance (ANOVA) was used…

The experimental investigation of Newton's law of universal gravitation requires expensive and sensitive equipment. Therefore, it is often not possible to conduct such an experiment within a typical physics class. An alternative is to investigate the universal gravitation law by using simulations. In this paper, we are presenting such an augmented…

The coefficient of restitution (COR) for a collision is usually a number between 0 and 1 depending on whether the collision is completely inelastic, or perfectly elastic or something in between. That is the usual situation for colliding spheres or a ball dropped on a horizontal surface. A different situation arises when a bat collides with a ball.…

Many college instructors begin their careers without knowing or using instructional best practices. During their careers, few will make drastic changes to their original teaching choices on their own. To respond to the needs and skills of increasingly diverse students, college instructors must not only improve their teaching practices, but also…

Teachers desiring to address inequity within education must acknowledge the inconsistencies experienced by students who belong to historically marginalized or oppressed communities. Antiracist education addresses conventions rooted in systemic or structural racism, colourblindness, and implicit bias, creating an environment that facilitates equity…

Estimates of various variance components, universe score variance, measurement error variances, and generalizability coefficients, like all statistics, are subject to sampling variability, particularly in small samples. Such variability is quantified traditionally through estimated standard errors and/or confidence intervals. The paper derived new…