Presents a model of the tutoring process that takes into account the evolving tutor/student relationship and the subject matter concerns that the tutor is helping the student master. Reports illustrative data from case studies from which the model is derived. (15 references) (MDH)

The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)

Quilt-making is presented as an activity that helps elementary school children recognize and appreciate geometry in their world while developing their problem-solving skills. Students choose an appropriate pattern and cooperatively make the quilt. Related measurement questions and problems are provided. (MDH)

Presents a problem to determine conditions under which two identical masses, constrained to move along two perpendicular wires, would collide when positioned on the wires and released with no initial velocity. Offers a solution that utilizes the position of the center of mass and a computer simulation of the phenomenon. (MDH)

Describes the typical eighth-grade geometry curriculum (with regard to teacher emphasis on content, time allocations, instructional methodologies, the use of manipulatives, and compared to current research models) of typical (n=109) and enriched (n=23) mathematics classrooms in the United States based on data from the IEA Second International…

Presents a team-oriented student activity designed to introduce trigonometric ratios and applications of selected trigonometric functions by constructing tables of values. Can be used at the middle school level. (MKR)

In polar coordinates, the intersection of the graphs of two functions, f(x) and g(x), does not always correspond to the solutions of the equation f(x) = g(x). Presented are examples to illustrate this concept, proofs demonstrating why this is true, and a computer program to simultaneously plot polar coordinate graphs. (MDH)

Discusses topics that are especially appropriate for investigation by young learners and describes activities that stimulate children's curiosity. Suggestions about ways to focus children's attention on mathematical aspects of the activities are offered. (BB)

Presented are simple activities that can be completed by students at home with the help of a parent. Activities include the topics of sorting, patterning, counting and numbers, geometry, adding, subtracting, and measuring. Each activity describes a series of sequenced tasks related to one of the topics. (KR)

Several examples of solid figures that calculus students can use to exercise their skills at estimating volume are presented. Although these figures are bounded by surfaces that are portions of regular cylinders, it is interesting to note that their volumes can be expressed as rational numbers. (JJK)

Explained is the effect produced by an optics toy which uses two concave mirrors to produce an illusion. Formulas and calculations used in the explanation are detailed. (CW)

Highlights an activity that focuses on learning the geometric concepts needed for students to design blueprints for a city park by mastering fifth-grade geometry concepts and applying their knowledge in a real-world context. (ASK)

Features activities designed to enhance students' spatial reasoning ability combining geometry, language arts, and visual arts. (ASK)

Investigated the effects of student working-memory capacity, preference for amount of instruction, spatial problem-solving ability, and school mathematics grades on eighth graders' recall of factual information and conceptual understanding. Pairs of students worked through 16 activities using a dynamic, computer-based geometry program. Presents…

Four computer-based training strategies for geometrical problem solving in the domain of computer numerically controlled machinery programming were studied with 60 Dutch secondary technical school students for effects on training performance, transfer of performance, and cognitive load. Results support the utility of worked examples for transfer…