The formula for the sum of the nth powers of the first k integers was shown by Bernonlli to be obtainable from Pascal's triangle. The derivation is reported. (SD)

Advantages of representing ternary and quaternary composition diagrams by means of rectangular coordinates were pointed out in a previous paper (EJ 288 693). A further advantage of that approach is that analytic geometry, based on rectangular coordinates, is directly applicable as demonstrated by the examples presented. (JN)

Included in this section are brief articles on drawing altitudes of triangles, sketching parabolas, and visualizing variability. (MNS)

Presents an activity in which students estimate the weight and volume of one million dollars in notes and coins of various denominations. Also presents several geometry activities. Student worksheets for the activities are included. (JN)

A proof is given concerning the intersection of the medians of a triangle, then the problem is generalized and discussed. (DT)

Different methods for doing five basic geometric constructions are described. (DT)

A geometric method of solving quadratic equations is described. (DT)

An algebraic-geometric solution technique used by the ancient Chinese is examined. (DT)

The life work of both John Dewey and Lev Vygotsky and the implications for pedagogy that each of the theorist's work has generated is well known in the field of education. However, it is seldom that the theorists' works are juxtaposed for pedagogical considerations for specific subject matter. This is for at least three reasons: first, Dewey, of…

Results of a study of the effects of a mathematics laboratory for college freshman mathematics showed that the laboratory produced higher achievement, affected attitude, and reduced the withdrawal-failure rate of students with a deficiency in mathematics. (DT)