Arguing for a mathematics curriculum based on pure mathematics, the author suggests that applications be used for motivational purposes. (SD)

The author argues that every student should have experience with complex geometric constructions because of their aesthetic value. He presents several such constructions. (SD)

The similarity between two apparently dissimilar problems is explored. Pascal's triangle is involved. (SD)

Three worksheets for use in studying triangular, square, and pentagonal numbers are presented. (SD)

An approach to teaching children aged 12 through 14 a substantial course about computers is described. Topics covered include simple algorithms, information and communication, man-machine communication, the concept of a system, the definition of a system, and the use of files. (SD)

Activity questions based on the prime factorization of numbers can be answered by reference to the lattice structure of factors. (SD)

The results of the first report on the mathematical abilities of 13 and 17 year-olds by the National Assessment of Education Progress (NAEP) are summarized and interpreted. A similar article for elementary school mathematics appears in SE 514 769. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

Results of a survey show that secondary school mathematics teachers believe that a geometry course plays an important role in mathematics education. Many respondents would support evolutionary change in the nature of the course, but few would favor revolutionary change. (SD)

An algebra class asked: What is the smallest positive integer that is divisible by each integer less than or equal to ten? Students discovered factorials and a solution. Verifying the solution produced a series of numbers. Successive differences between entries, triangular arrays, and successive quotients finally led to Pascal's triangle. (KM)

This article shows how two discoverable theorems from elementary calculus can be presented to students in a manner that assists them in making the generalizations themselves. The theorems are the mean value theorems for derivatives and for integrals. A conjecture is suggested by pictures and then refined. (Author/KM)

The author observes that checking the closure property is redundant for most number systems and therefore hard for students to understand. He defines several systems which are not closed, develops two concepts related to closure, and provides many related examples. (SD)

The author has surveyed eight popular algebra texts in order to determine the extent of sex bias in the problem sets. Her findings, which show that, by and large, word problems embody the usual sex stereotypes, are described in detail. (SD)

The mathematics of the game "Instant Insanity" is described in terms of graph theory, a part of combinational mathematics. (SD)