Discusses the application of induction using a two-player game with sticks. Describes a winning strategy for the game with n sticks; number of moves to complete the game; and changing the rules of the game. (YP)

Describes a model for geometrical probability. Presents two examples of basic theories of probability using geometrical probability. Provides three problems using the described theorem. (YP)

This article explores an application of combinations, geometric series, and elementary probability that arises in a Biblical setting. Describes examples of the applications such as the use of "urim and thummin." (YP)

Presents an example from the combinatorial theory of partially ordered sets. Discusses algorithms of on-line antichain partitioning problems, a topic in discrete optimization. (YP)

Proposes elements of a model of knowledge structures used in comprehending and generating graphs. Uses the competence model to attempt to organize and interpret findings on misconceptions in graphing. Discusses two types of common misconceptions; treating the graph as a picture and slope-height confusions. (YP)

Provides a brief summary of current research in mathematics education at the college level. Explores the current needs of college-level faculty. Suggests ways of coping with the apparent perception that some of the best contemporary research is useless or irrelevant from the practitioner's point of view. (22 references) (JJK)

Addresses the difficulties students have in acquiring graphical problem-solving skills. Presents some techniques and concepts intended to help students overcome them. Contains 15 references. (Author/ASK)

Describes a study examining the effect of hand-held calculators on student achievement in college developmental mathematics classes. Finds no significant differences between control and treatment groups, indicating that students who used calculators scored slightly lower on posttests but achieved higher final course grades as a group than control…

Contexts are currently enjoying much prominence in school mathematics. Generally, the contextual issues and situations learners are exposed to and deal with in Mathematical Literacy are, with good reason, determined by curriculum, learning resource and test designers. This article reports on a study that investigated contexts that learners would…

Undergraduate college students in an advanced math class were videotaped as they worked on three mathematical proofs. Findings indicated that both ability and self-efficacy were needed for group success. Members with high levels of self-efficacy served the group by encouraging others to continue working. Groups tended to use a trial-and-error…

Three dysfunctional behaviors of basic algebra students are described: Silence as Camouflage, Wing and a Prayer, and Ignorance is OK. These behavior patterns are explained, and beneficial teaching methods that address the weaknesses are presented.

A calculus-free approach is offered for determining the equation of lines tangent to conics. Four types of problems are discussed: line tangent to a conic at a given point, line tangent to a conic passing through a given point outside the conic, line of a given slope tangent to a conic, and line tangent to two conics simultaneously; in each case,…

One reason students give for attending a community college is that the mathematics requirements appear to be less rigorous. Many of the author's students have told her that they have chosen to seek an associate's degree first because they do not feel confident that they could successfully complete the mathematics requirement at a four-year…

Describes a five-step graphing method for various trigonometric periodic functions. Emphases is on teaching constants and functions. (YP)

There has been growing concern about the mathematical skills and understanding of undergraduates entering higher education to study mathematical sciences. In spite of this, as in other disciplines, the classifications of degrees awarded in mathematical sciences have risen. The research described here uses statistical analyses of data collected by…