In educational research, there is the general trade-off that empirical evidence should be generalizable to be applicable across contexts; at the same time, empirical evidence should be as specific as possible to be localizable in subject-specific educational interventions to successfully transfer the empirical evidence to educational practice.…

Traditional school laboratory exercises on a system of moving objects connected by strings involve deriving expressions for the system acceleration, a = (?F)/m, and sketching a graph of acceleration vs. force. While being in the form of rational functions, these expressions present great opportunities for broadening the scope of the analysis by…

Abilities in scientific thinking and reasoning have been emphasized as core areas of initiatives, such as the Next Generation Science Standards or the College Board Standards for College Success in Science, which focus on the skills the future will demand of today's students. Although there is rich literature on studies of how these abilities…

Instruction in academic core content provides students with moderate to severe disabilities a full educational opportunity that promotes current and future options in the community and can complement acquisition of daily living skills. However, high school teachers face many challenges in balancing instructional priorities given the mission to…

Undergraduate research (UR) is a vetted educational tool that is commonly perceived to prepare students for entering graduate school and careers in STEM fields; however, scholarly attention to date has largely relied on self-report data, which may limit inferences about the causal effects on student outcomes. In light of this, recent calls have…

Numerous articles have been published that address problems encountered in teaching basic concepts of chemistry such as the atomic mass unit, Avogadro's number, and the mole. The origin of these problems is found in the concept definitions. If these definitions are adjusted for teaching purposes, understanding could be improved. In the present…

We examine a generalization of the one-dimensional Ising model involving interactions among neighbourhoods of "k" adjacent spins. The model is solved by exploiting a connection to an interesting computational problem that we call ""k"-SAT on a ring", and is shown to be equivalent to the nearest-neighbour Ising model in the absence of an external…

This paper presents a simple method for calculating Clebsch-Gordan coefficients for the tensor product of two unitary irreducible representations (UIRs) of the rotation group. The method also works for multiplicity-free irreducible representations appearing in the tensor product of any number of UIRs of the rotation group. The generalization to…

Analogy is widely considered to be an important mechanism of scientific thinking and a source of creative insight in theory development. In this paper the implicit constraints that determine analogical soundness are considered. It first examines the constraints that govern analogical reasoning as it is predicted today. The scientific uses of…

Suggests that elementary school students should be introduced to science research by involving them in group projects. Argues that this type of collaborative approach is more motivating for the students, and produces less anxiety and a better understanding of the steps involved in scientific methodology. (TW)

People use and extend their knowledge of the physical world constantly. Understanding how this fluency is achieved would be an important milestone in understanding human learning and intelligence, as well as a useful guide for constructing machines that learn. This paper presents a theoretical framework that is being developed in an attempt to…