One goal of a mathematics education is that students make significant connections among different branches of mathematics. Connections--such as those between arithmetic and algebra, between two-dimensional and three-dimensional geometry, between compass-and-straight-edge constructions and transformations, and between calculus and analytic…

Encouraging students to reason with quantitative relationships can help them develop, understand, and explore mathematical models of real-world phenomena. Through two examples--modeling the motion of a speeding car and the growth of a Jactus plant--this article describes how teachers can use six practical tips to help students develop quantitative…

In January 2006 the Billings (Montana) Public Schools adopted a computer-assisted instruction (CAI) intervention aimed at helping students recover credits that they had attempted but had not attained. The author volunteered to teach the algebra component in his high school. Through the following seven semesters, he came to better understand the…

The underlying philosophies and the teaching methods used in several Israeli mathematics programs for disadvantaged students are explained and described; a study that used a psychological approach concerned with the rehabilitation of the impaired intelligence of disadvantaged children also is discussed. (DT)

An attempt to combine the advantages of group instruction with the advantages of individualized instruction is described. The rationale, procedure, and method are discussed in turn. Test results indicated that students learn at least as well by this combined method. Student opinion was generally favorable. (LS)

Described is a two-week summer residential program designed for students who have been identified through one of several middle school talent searches. Discussed are the assumptions and goals, course content and pedagogy, evaluation, and materials of the program. (CW)