It is shown how the time-dependent Schrodinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equation of classical mechanics. Schrodinger's own published derivations of quantum wave equations, the first of which was also based on the Hamilton-Jacobi…

It is well documented that when solving problems experts first search for underlying concepts while students tend to look for equations and previously worked examples. The overwhelming majority of end-of-chapter (EOC) problems in most introductory physics textbooks contain only material and examples discussed in a single chapter, rarely requiring…

This paper describes an educational analysis of a first year university chemistry practical called "Investigating sugar using a home made polarimeter". The analysis follows the formalism of the Advancing Chemistry by Enhancing Learning in the Laboratory (ACELL) project, which includes a statement of education objectives, and an analysis…

Chemical reaction kinetics and equilibrium are essential core concepts of chemistry but are challenging topics for many students, both at the high school and undergraduate university level. Visualization at the molecular level is valuable to aid understanding of reaction kinetics and equilibrium. This activity provides a discovery-based method to…

There is a continuing need for engaging inquiry-based laboratory experiences for advanced high school and undergraduate biology courses. The authors describe a guided-inquiry exercise investigating the pH-dependence of lactase enzyme that uses an inexpensive, wide-range buffering system, lactase dietary supplement, over-the-counter glucose test…

Imagistic reasoning appears to be a critical strategy for learning and problem solving in the sciences, particularly chemistry; however, little is known about how students use imagistic reasoning on genuine assessment tasks in chemistry. The present study employed a think-aloud protocol to explore when and how students use imagistic reasoning for…

Graduate teaching assistants (GTAs) are gaining increasing responsibility for the instruction of undergraduate science students, yet little is known about their beliefs about science pedagogy or subsequent classroom practices. This study looked at six GTAs who were primary instructors in an introductory biology laboratory course. Teaching…

A general systematic approach is proposed for the numerical calculation of multi-equilibrium problems. The approach involves several steps: (i) the establishment of balances involving the chemical species in solution (e.g., mass balances, charge balance, and stoichiometric balance for the reaction products), (ii) the selection of the unknowns (the…

Case-based teaching and learning strategies can offer instructors effective pedagogical tools to scaffold student learning through activities designed to fulfill teaching objectives and desired student learning outcomes. In science disciplines, programs strive to impart knowledge in addition to providing students environments through which they…

An introductory, multidisciplinary lecture-laboratory course linked with a summer research experience has been established to provide undergraduate biology and chemistry majors with the skills needed to be successful in the research laboratory. This three-credit hour course was focused on laboratory skills and was designed to reinforce and develop…

We present a low-cost, fully computer-controlled, Arduino-based, educational laboratory (SolarInsight) to be used in undergraduate university courses concerned with electrical engineering and physics. The major goal of the system is to provide students with the necessary instrumentation, software tools and methodology in order to learn fundamental…

Establishing relevant applications for the science curriculum can be a challenge. However, the key that opens science for students is within a teacher's grasp: It is as simple as bringing science connections into his or her classroom through community resources and taking the students to the science that is available. The author encourages…

Using constructivist theory and knowledge components as a theoretical framework, this paper reports lecturers' perceptions of prior knowledge needed for solving a sample acid-base titration problem involving the neutralization of a conjugate base of a weak acid with a strong acid. Twelve participants were engaged for the study. Their participation…

Through distance learning, the community college system has been able to serve more students by providing educational opportunities to students who would otherwise be unable to attend college. The community college of focus in the study increased its online enrollments and online course offerings due to the growth of overall enrollment. The need…

The National Science Foundation funded a synthesis study on the status, contributions, and future direction of discipline-based education research (DBER) in physics, biological sciences, geosciences, and chemistry. DBER combines knowledge of teaching and learning with deep knowledge of discipline-specific science content. It describes the…