Described is an outline for a school mathematics project dealing with the theory of equations, specifically solutions to polynomials of the third and of the fourth degree. Cardano's method for solution of cubic equations and Ferrari's method for solution of quartic equations are included with examples. (JJK)

This survey of 72 secondary teachers of students with visual impairments found that teachers encounter continuing difficulties in providing materials and equipment for mathematics instruction and that few students with visual impairments are participating in advanced mathematics classes. (Author/DB)

Typically, the mathematical properties concerning the golden ratio are stated correctly, but much of what is presented with respect to the golden ratio in art, architecture, literature, and aesthetics is false or seriously misleading. Discussed here are some of the most commonly repeated misconceptions promulgated, particularly within mathematics…

Discusses a game to present middle-grade students that involves both choice and chance to help them understand the significance and usefulness of mathematical probability. Discusses winning versus self-improvement and provides a student worksheet to help students in thinking about the game. (MKR)

Summing powers of integers is presented as an example of finite differences and antidifferences in discrete mathematics. The interrelation between these concepts and their analogues in differential calculus, the derivative and integral, is illustrated and can form the groundwork for students' understanding of differential and integral calculus.…

Discussed are several different transformations based on the generation of fractals including self-similar designs, the chaos game, the koch curve, and the Sierpinski Triangle. Three computer programs which illustrate these concepts are provided. (CW)

The four-color theorem stating that any map in a plane can be colored using no more than four colors represents a problem suitable for the liberal arts student. Presented is an algorithm for coloring familiar maps through the temporary removal of states bordering three or fewer states. (MDH)

Presented is the ancient Egyptian algorithm for the operations of multiplication and division of integers and fractions. Theorems involving unit fractions, proved by Fibonacci, justifying and extending the Egyptian or Ahmes' methods into the Hindu-Arabic numeric representational system are given. (MDH)

Included are several general principles pertaining to the uses, applications, and accuracy of significant digits when mathematical computations are performed with calculators. Examples are provided that illustrate how misunderstandings can arise from the misapplication of these principles. (JJK)

Discrete mathematics are defined briefly. A course in discrete mathematics for high school students and teaching discrete mathematics in grades 7 and 8 including finite differences, recursion, and graph theory are discussed. (CW)

Provided are the activity sheets for students and the teaching guide for this middle school geometry activity. Materials, prerequisites, objectives, and procedures are listed. Extension activities are suggested. An answer key is included. (CW)

Presented is an exploration of a number of ways these quantities can be demonstrated and some interconnections between them. Discussed are triangular numbers, sums of squares, sums of cubes, table squares, and counting rectangles. (CW)

Discusses the problem of how the stars on the American flag would be arranged were another state added to the Union. Presents solutions using linear equations based on conditions given in the problem. (MDH)

Over 700 mathematical textbooks and monographs (especially in Polish) were studied to identify specific features of proof construction. Segmentation, delimiters, and procedure schemes were key items in analysis. Reading strategies used in other subject areas normally do not transfer successfully to mathematics. (PDD)

Discusses activities to help students make visual generalizations about power and exponential functions, methods to determine an approximate function represented by data using logarithms, hands-on activities, and student activity sheets. Includes a Pascal Turbo computer program which generates random numbers. (MKR)