We present an algorithm for solving the time-dependent Schrödinger equation that is based on the finite-difference expression of the kinetic energy operator. Students who have some knowledge of linear algebra can understand the theory used to derive the algorithm. This is because the finite-difference kinetic energy matrix and the Hückel matrix…

Three-dimensional learning is the name given to the vision for science education described in the National Academies consensus report "A Framework for K-12 Science Education." Of the three dimensions described in the Framework, the Disciplinary Core Ideas and the Science and Engineering Practices have been enthusiastically adopted by…

Progress is made in science by constructing many models (possibly of different complexities), testing them against measurements, and determining which of them explain the data the best. It is my observation, however, that in many introductory physics labs we provide students with the materials and methods to verify the "correct" model of…

We believe that a natural focus of the physics education research community is on understanding and improving students' learning in our physics courses. Due to the increase in technology, we can bring laboratory experiments closer to our students. It is necessary to update our laboratories technologically to get closer to the world in which our…

It's not surprising that rainbows have received a great deal of attention: in textbooks, in magazines, and on the web. They are, after all, beautiful, fascinating, occasionally awe-inspiring, even a little mysterious. They are an almost perfect blend of natural beauty and simple physics. Has everything that can be said about rainbows already been…

Nanoparticle Zn[subscript 2x] Cu[subscript 1-x] In[subscript 1-x] S[subscript 2] is a promising and safer alternative to lead- and cadmium-containing quantum dots. Students prepare Zn[subscript 0.44] Cu[subscript 0.78] In[subscript 0.78] S[subscript 2] quantum dots in a one-pot synthesis without an inert atmosphere and investigate how the color,…

The principles of chemical kinetics comprise one of the core topics that appear throughout chemistry. Standard kinetics lessons typically cover reaction rates and relative rates, rate laws, integrated rate laws, half-lives, collision theory, and the Arrhenius equation. They can also introduce a discussion of mechanisms as well, which may be the…

An innovative food laboratory for a chemistry of food and cooking course has been developed for nonscience majors and under-represented students in science. To help these students succeed in science, a laboratory was designed to engage students using food and cooking as a medium for building a stronger foundation in chemistry. Each food laboratory…

Polymers and nanochemistry are important facets of chemistry. In this experiment, students synthesize monodispersed poly(methyl methacrylate) nanospheres from the addition or chain polymerization of a rapidly stirred aqueous mini-emulsion of methyl methacrylate. The 2,2'-azobis(2-methylpropionamidine) dihydrochloride serves as a heat activated,…

The limited time available to teach content area subjects, given the intense demands for literacy and math instruction, is a common concern in U.S. elementary schools. Unfortunately, this is especially true in schools that serve students who are less economically advantaged. With time being a perennial concern for educators, integrated…

Adequate sleep is essential for students to be able to solve challenging problems effectively. After many years of advising students to get enough sleep the night before their final exam, two studies were conducted with students in introductory physics classes to investigate their sleep habits. In the first previously published study, few students…

The manuscripts in this collection expand the current research on the experience of undergraduate science students with virtual reality laboratories. A systematic literature review and synthesis involving 21 peer-reviewed empirical articles (2009-2018) revealed a dearth of theoretical and methodological approaches exploring VR Labs, which centered…

3D holograms are an effective tool for visualization, and their utilization in chemistry teaching can be beneficial in improving learning outcomes. However, studies on students' opinions about holograms in chemistry teaching and learning are scarce. The research aimed to examine the views of chemistry students on the application of 3D holograms in…

Teaching with analogies is an important pedagogy that helps learners construct abstract conceptions through reasoning with something familiar. Heat concepts were chosen for this study because they have an intangible nature and involve complex mechanisms that often challenge school-aged learners. Learning this kind of complex concept with analogies…

Reaction mechanisms are a core component of organic chemistry. Being able to handle these mechanisms is a central skill for students in this discipline. Diagnosing and fostering mechanistic reasoning is hence an important branch of chemistry education research. When it comes to reasoning about mechanisms, students often experience difficulties…