Describes a problem to challenge students as they come back from summer vacation. Working in small groups, students discover Pick's Theorem, the formula to calculate the area of a polygon constructed on a geoboard. A writing assignment evaluates the students' efforts. (MDH)

Presented is a proposed formula for determining the bearing angle and the slope angle for the line of intersection using the strike and dip angles of two given plane segments. Included is the development of the formula and three example problems. (KR)

Describes the modern hot-air balloon and the physics of ballooning. Proposes that students construct their own hot-air balloon and presents an experiment calculating the time needed for a balloon to rise to the ceiling of a gymnasium. (MDH)

Presents three stories from mathematics history that can be integrated into classroom teaching: (1) the account of how Eratosthenes measured the circumference of the earth to discuss the concept of units in measurement, (2) ideas from Archimedes, Vite, and Descartes to introduce pi, and (3) the discovery of the Cardanic formula as an example of…

Discusses subject searching problems in online library catalogs; explains advanced information retrieval (IR) techniques; and describes experiments conducted on a test collection database, CHESHIRE (California Hybrid Extended SMART for Hypertext and Information Retrieval Experimentation), which was created to evaluate IR techniques in online…

Presents two teaching ideas. The first helps students identify and correct their own mistakes. A checklist of common mistakes is filled out by students after quizzes and tests and examined for error patterns. The second develops the formula to determine the payments necessary to pay off a loan over a required period of time. (MDH)

Tennessee data were analyzed for four years before and five years after the funding formula for special education was changed from a "flat" rate to a "weighted" formula. The weighted formula was associated with a statistically significant decrease in less restrictive placements and a reliable increase in more restrictive…

Discusses the need at the University of Southern Mississippi library to review resource allocations among serials, monographs and standing orders, and to select an allocation formula. The supply and demand formula used, its implementation, and results in departmental purchasing power are described. (four references) (EA)

Uses conic sections, trigonometric functions, and polar coordinates to solve the problem of determining the shape of a baseball outfield fence, given the distances along the foul lines and to straightaway center field. Graphing programs and calculators are utilized to plot different solutions. (MDH)

A study analyzed the second-language essays of seven anglophone and one French-speaking Quebec university students enrolled in a literature course by using a cognitive-metacognitive framework developed for mathematical problem-solving and a think-aloud protocol. Results indicate the framework, with some adjustments, is a reliable tool for…

The use of mathematical models in the experimental analysis of behavior has increased over the years, and they offer several advantages. Mathematical models require theorists to be precise and unambiguous, often allowing comparisons of competing theories that sound similar when stated in words. Sometimes different mathematical models may make…

Using symbolic algebra to represent and solve linear equations is one of the expectations within the "Algebra" content standard for the 6-8-grade band in the National Council of Teachers of Mathematics (NCTM) "Principles and Standards for School Mathematics" (2000). Students' understanding of these concepts, even before a formal algebra course,…

Nassaji and Geva (1999) concluded that lower level processes, particularly efficiency in phonological and orthographic processing contributed significantly to individual differences in adult ESL reading. Moreover, they reported that speed of letter naming, while not directly associated with reading comprehension, was related to linguistic…

This report examines New York State's experience with multi-element formulas in budgeting for the State University of New York, and considers some of the obstacles confronting scientific budgeting in a political environment. A specific budgeting formula (the Academic Discipline Model) is examined, its evolution and application discussed, and the…

If we are to say that mathematics deals only with numbers, then the assumption that having mathematics without language will undoubtedly be correct. To some extent this assumption is true but the main point that needs attention at this stage is how would it be ever possible to talk about mathematics without language. Language is the means of…