Symmetry and invariance play a fundamental role in modern physics and related disciplines, and students entering a STEM field need practice with symmetry-based arguments as part of the preparation for their future careers. We refer to symmetry based solutions as those that either make use of the existing geometric symmetry in a problem to simplify…

Optics is one of the subject areas in which students have difficulty learning. Establishing the right connections between the concepts of optics and daily life supports the learning of the concepts of optics. In addition, this connection increases the students' motivation to learn optical issues. In this study, three activities related to prisms…

The equivalent resistance calculation for two circuits in cubic arrangements is solved. Emphasis is placed on the plastic (topological) properties of these circuits. In contrast, the opposite topological behaviour of an analogous arrangement is observed in the calculus of a magnetic field. It is also noted that the solved examples may be used as a…

Through teaching science, teachers have the pleasure of developing and implementing learning experiences that allow students to discover how the world works. Interweaving the laws, principles, and theories of the universe with scientific practices that have allowed scientists to discover these ideas is the focus of teaching and learning in the…

The purpose of this study was to examine how learners' problem-solving approaches and success changed from high school to graduate school. This case study included 15 participants who were purposefully selected regarding their grade levels. To examine the development, we asked three algorithmic questions and three problems, which were different…

Systems thinking is currently envisaged as a useful educational approach to teaching about sustainability (including green chemistry education) because of the high number of interrelated factors involved and the need of learners to acquire the ability to identify all of the factors and their relationships. After recalling the way in which key…

The stereotypical situation of a snowball picking up both mass and speed as it rolls without slipping down a hill provides an opportunity to explore the general form of both translational and rotational versions of Newton's second law through multivariable differential equations. With a few reasonable assumptions, it can be shown that the snowball…

Learning thermodynamics requires understanding abstract topics such as entropy and spontaneity. Students tend to rely on metaphors and everyday meanings to reason about these topics. This study investigates how students explain dissolution and precipitation using the concepts of entropy and spontaneity. Students from general chemistry, physical…

Single-type, 8-fold-grooved, commercially accessible interlocking disks (ILDs) have been used for modeling of complex polyhedral and reticular topologies with relevance to inorganic and hybrid materials. The assembly of complex topologies relies on the preparation of secondary building units (SBUs), which exhibit different connectivity than that…

Until now, the concept of metal (0) atomic quantum clusters or nanoclusters (NCs) and their increasing role in nanotechnology due to their novel and exceptional properties in important industrial fields (such as catalysis) has not been included at the education level. Here, syntheses of both metal nanoparticles (NPs) and metal nanoclusters (with…

The Born rule, which describes the formalism for determining probabilities, is one of the most fundamental postulates in quantum mechanics. This paper presents results from an investigation into how students apply the Born rule to determine probabilities for energy and position measurements. The investigation includes two stages with independent…

At first glance, scientific laboratory experiences might appear to be challenging to move to the cloud. Skeptics may point to sensory feedback limitations and inequivalence of student outcomes. However, emerging data increasingly provide evidence that scientific laboratory courses are not only amenable to online learning, but also can deliver…

College students associated with the American Chemical Society and Alpha Chi Sigma student/collegiate chapters reach almost 1 million people every year through their informal chemistry education events (chemistry outreach). Previous work has characterized their goals for chemistry outreach, with the most prevalent goal being audience learning.…

In recent years the possibility of observing by microscopy the dynamic activity of living cells has been largely pursued. We have developed a low-cost (~ 260 euros) on-stage cell incubator for inverted optical microscopes. This device allows to keep cells in good conditions for their survival and proliferation. The device is based on the use of…

A video of darkening scenery during the 15 min prior to totality of the 21 August 2017 total solar eclipse is presented and discussed. The luminances of the scenes at 1 min intervals are obtained by averaging pixel data of stills from the video. The experimental results are compared to the theoretical model of uniform radiance from the exposed…