The use and understanding of mathematics is a crucial component of the physical sciences. Much work has been done in physics education research and science education more broadly to determine persistent difficulties with mathematics. This work has led to the development of numerous problem solving strategies aimed at helping learners approach…

Starting from the energy and degeneracy of the Landau levels of a free-electron gas in a magnetic field, the nonoscillatory term of the Landau diamagnetism is derived for T=O, using elementary algebra only. (Author/JN)

Presents a motion problem that students in a college physics class are asked to solve and later asked to continue to analyze until they have stopped learning from the problem or the problem itself is finished. (MDH)

Discusses the loss of precision that normally results in solving equilibrium problems, particularly as presented through the use of quadratic formulas in most introductory college chemistry textbooks. Provides examples of demonstrations. (TW)

Describes two easily applied mathematical theorems, Budan's rule and Rolle's theorem, that in addition to Descartes's rule of signs and intermediate-value theorem, are useful in chemical equilibrium. Provides examples that illustrate the use of all four theorems. Discusses limitations of the polynomial equation representation of chemical…

Develops the idea of fractals through a laboratory activity that calculates the fractal dimension of ordinary white bread. Extends use of the fractal dimension to compare other complex structures as other breads and sponges. (MDH)

Describes two chemistry computer programs: (1) "Eureka: A Chemistry Problem Solver" (problem files may be written by the instructor, MS-DOS 2.0, IBM with 384K); and (2) "PC-File+" (database management, IBM with 416K and two floppy drives). (MVL)

Considers several aspects of quantitative relationships involved in learning physics. Includes discussions of proportionality, various kinds of equality, and the need for generality. Argues that clear distinctions are necessary if the physics curriculum is to be examined with regard to pupil outcomes. (TW)

Describes two software programs for the Apple II series and TRS-80 Models III and IV: (1) "Personal Energy Inventory" (grades 9-12, records and manages data, not considered user friendly); (2) "Energy Conservation" (grades 7-12, aids in converting and problem solving, uses drill and practice). (MVL)

Describes an activity in which the students utilize the mathematics concepts of ratio, proportion, and data tabulation to examine the relationship between air pressure, temperature, and humidity. Students learn to approximate partial pressure by using humidity and temperature readings and by interpolating from the vapor pressure-temperature table.…

Problems ask students to calculate the pressure against a billboard in high winds and the velocity of water flowing from a reservoir through a cylindrical pipe. Problem solutions incorporate computer tools such as spreadsheets. (MDH)