ETS scientists developed a human-centered AI (HAI) framework that combines data on how students interact with assessments--such as task navigation and time spent--with their performance, providing deeper insights into student performance in large-scale assessments.

Since the rise of state assessments whose primary function is to yield scores that can be used to compare schools and groups of students, most states have developed their state assessment programs under the assumption that either: (a) state tests are not intended to meaningfully shape instruction, or (b), if they are, the information provided in…

Calculations are presented showing that the usual 'faster than g' demonstration has a surprising property. That is, a rod hinged at its bottom end rotates at an exponentially increasing rate until it falls with maximum vertical acceleration, unlike an object that falls freely by gravity alone. If the rod is hinged at its top end and released from…

In this article we show that the electrostatic field intensity of a uniformly charged straight line equals that of the corresponding arc of a circle charged with the same linear density. This new method greatly simplifies the calculation of the electrostatic field of a system consisting of uniformly charged straight lines.

Educators everywhere are responding to the realities of student learning loss, unfinished learning, or disrupted learning as they continue to experience the lasting impact of the COVID-19 pandemic. Students of color and students attending high poverty schools experienced the largest achievement declines, increasing preexisting gaps for already…

This article provides an overview of the instructional activity implemented to introduce the authors' first-grade students to the concept of measuring, collecting, and recording temperature data as part of a unit on weather. The activities introduced involved approximately one week of instructional time. However, the application of the skill…

My remarks will outline, from a philosopher's perspective, challenges and opportunities that I see for a science of virtue. I will touch on three topics: (1) ensuring that the studies are philosophically useful; (2) grappling with issues of measurement; and (3) next steps in moving a science of virtue forward. I approach (1) and (2) through…

During the early decades of the 18th century, Newtonian physics was still new. Much effort was expended in testing its validity. One arena in which evidence could be found was the shape of Earth. Was it perfectly spherical? On the observational side there were two hints. In 1671 Jean Richer had measured the rate of ticking of a pendulum clock near…

Monte Carlo simulations for uncertainty propagation take as inputs the uncertainty distribution for each variable and an equation for the calculation of a desired quantity. The desired quantity is then calculated by randomly drawing from the specified uncertainty distributions of the input variables. This calculation is then repeated many times…

Despite extensive conceptualization of ions as hard spheres in most textbooks, solid-state structures are more accurately modeled as overlapping soft spheres that better reflect the size of the ions. The corresponding soft-sphere ionic radii of alkali and halide ions can be empirically established from the partial molar volume of the ions in…

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.…

The analogy among momentum, heat and mass transport phenomena is an important concept in chemical engineering education. This paper presents the analogy between heat exchanger and packed column calculations. The effectiveness-NTU method used to calculate outlet temperatures of hot and cold streams in an exchanger is introduced in a packed column…

Mathematics achievement is positively associated with coding in the classroom. By making mathematical relationships visible to students as they code, teachers leverage rich connections between block-based computer programming and mathematical sense making. In this article, the authors describe strategies for adapting a Code.org lesson integrating…

Low-dimensional materials especially graphene-based are of high interest to a broad community. One of the most fundamental aspects in the biomedical field is material characterization, which helps understand their property and tune for application. Though the existing teaching curricula are well standardized to include basic principles and…

Archimedes' principle has been and still is a complicated concept to understand by introductory students, especially as typically stated in physics textbooks. Take for example its statement by Bierman: "When a body is fully or partially submerged in a fluid, a buoyant force from the surrounding fluid acts on the body. The force is directed…