The use of pictures created by students as aids in the learning of mathematical concepts and the problem solving process is promoted. (MP)

Describes a series of learning activities built around number cubes. Sample activities introduce elementary properties of the cube, the magic rule of seven, and basic concepts related to graphs in the plane coordinate system. (PVD)

Based on a college-level geometry course, presents practical suggestions for integrating exploratory computer applications into the mathematics classroom. Reveals that students need more experimental time with technology to reduce anxiety, and assessments need to be developed and implemented to tap the outcomes of problem solving and higher level…

A Discovery Unit was designed to develop problem-finding behavior in 67 gifted children (grades 3-6). Students identified a problem and its solution using topics of their choice. The results of this two-year pilot project support the need to instruct and practice problem-finding skills at the elementary level. (DB)

A number for which the number of digits categorizes the number is called a star number. A set of star numbers having a designated property is called a constellation. Discusses nature and cardinality of constellations made up of star square, star prime, star abundant, and star deficient numbers. Presents five related problems for exploration. (MDH)

Suggests structured investigations as a method of teaching mathematics to preservice elementary school teacher. Presents an example problem that asks students to determine the maximum number of regions that can be created by connecting any two points around the circumference of a circle. (MDH)

Presents three investigations that extend the problem of counting the number of squares on a grid in two dimensions to an analogous problem of counting the number of cubes in a three-dimensional cubic array. (MDH)

Presented is the solution to the problem of calculating the probability of winning or losing a game played by moving a counter from the center of a hexagonal grid according to the number shown after the toss of a die. The exercise is an example of an interesting mathematical investigation. (MDH)

Presents several problems that use calculator or computer-generated graphs of the absolute value function as related to the maximum and minimum functions to illustrate the statistical concepts of range, median, mean, and variance. (MDH)

Input from constructivist scholars and science teachers helps develop future biologists and biology teachers who better understand scientific investigation through their development and use of investigative software, as well as through laboratory and field activities. (SM)

Reviews psychological research on learning by doing, noting the role that learning-by-doing can play in education and training. Discusses how one University of Pittsburgh professor/researcher and his colleagues and students implemented this approach and describes lessons learned from the experience, explaining how improved forms of…

Under normal instructional circumstances, some youngsters learn programming in BASIC or LOGO better than others. Clinical investigations of novice programmers suggest that this happens in part because different students bring different patterns of learning to the programming context. Many students disengage from the task whenever trouble occurs,…

The product of a Special Studies Institute, this teacher developed resource guide for the emotionally handicapped (K-6) presents 37 activities designed to develop mathematics concepts and skills utilizing the urban out-of-doors. Focus is on experiencing math models, patterns, problems, and relationships found in an urban environment. Activities…

Describes how infants of six to seven years old can learn floating and sinking. The work described in this article was inspired by the Elementary Science Study (ESS). (HM)