This is the fourth paper in our Light-Emitting Diodes series. The series aims to create a systematic library of LED-based materials and to provide readers with the description of experiments and the pedagogical treatment that would help their students construct, test, and apply physics concepts and mathematical relations. The first paper provided…

Frequently in Management Science courses, instructors focus primarily on teaching students the mathematics of linear programming models. However, the ability to discuss mathematical expressions in business terms is an important professional skill. The authors present an analysis of student abilities to discuss management science concepts through…

Notes the computer has progressed from being a fast calculating machine to becoming an important tool for the whole academic spectrum. Discusses the development of new courses being offered to develop skills and knowledge in computational physics. (Author/MVL)

Describes a teaching method in which students learn about evolutionary biology through the use of mathematics. Uses the concept of biostatistics, the mathematical analysis of the variation in nature, to understand evolution. (SAH)

Argues that high school teachers have given up on trying to teach equations and mathematics to poorly prepared, inner-city, or very average students. Describes a mathematical problem-solving physics course for all types of students from average to honors. (CCM)

An enzymatic laboratory experiment based on the analysis of serum is described that is suitable for students of clinical chemistry. The experiment incorporates an introduction to mathematical method-comparison techniques in which three different clinical glucose analysis methods are compared using linear regression and Bland-Altman difference…

Presents examples of chemical equations which, although they occur in different contexts, have the same mathematical formalism. Suggests pointing out similarities to assist students in relating physical situations to mathematical form. (JM)

Euler's theorem for homogenous functions is useful when developing thermodynamic distinction between extensive and intensive variables of state and when deriving the Gibbs-Duhem relation. Discusses Euler's theorem and thermodynamic applications. Includes six-step instructional strategy for introducing the material to students. (Author/JN)

Describes the construction of models of two-dimensional surfaces with negative curvature that are used to illustrate differences in the triangle sum rule for the various Big Bang Theories of the universe. (JRH)

Describes a method used to teach the concept of radiometric dating using mathematical equations. Explores the lack of information in textbooks on how to solve radiometric dating problems using mathematical concepts. (SAH)

Reaction stoichiometry calculations have always been difficult for students. Offers the use of a mole ratio flow chart (MRFC) as a logistical sequence of steps that incorporates molar proportions as alternative problem solving techniques to improve student understanding. Indicates that MRFC users performed as well on exam problems covering…

Explores changes that occur in surface area and volume as an object increases in size and examines the implications these changes have for living things. Students can discover and extend many surface area/volume relationships by arranging and rearranging blocks and then applying relationships they discover to living things. (Author/JN)

Incorporates the combined effects of ionic strength and ion association to show how calculations involving ionic equilibria are carried out. Examines the variability of reduction potential data for two aqueous redox systems. Provides several examples. (MVL)

Explores the effects of the square-cube law that predicts the physical consequences of increasing or decreasing an object's size. Uses examples to discuss the economy of scales, common misconceptions, and applications of scaling laws. (JRH)

Presents a mathematical explanation for the development of tidal activity. (MVL)