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)

Much constructive computer and programable calculator activity can be stimulated by BASIC programs that are only three or four lines in length. This article illustrates several ideas with accompanying BASIC program, particularly related to the learning of algebraic concepts, that can be explored with both elementary and secondary mathematics…

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)

Discusses the dynamics and outcomes of an unplanned classroom activity that developed from the integration of the use of spreadsheets with the study of the characteristics of previously collected seashells, specifically their color, size, shape, texture, and any other obvious differences. (JJK)

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)

Presents activities that utilize balloons to encourage students to explore questions related to scientific concepts. Concepts explored include light, heat, charged ions, polarization, and the sense of smell. (MDH)

Argues current social studies reform movement raises false dichotomy between those who would emphasize content of history geography and those who would focus on critical thinking or information processing skills. Contends real goal of social studies should be practical citizenship competencies/participation. Concludes that teachers should create…

Presents a method for initiating discovery learning in early childhood classrooms through the study of ants. Children read about ants, record observations, and conduct experiments. This method teaches children to explore the environment, organize activities, seek resources, and engage in scientific inquiry. Examples of children's work are…

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)

Project SEED is a successful program that teaches elementary school students advanced math. Specialists conduct 45-minute lessons, asking questions designed to help students discover mathematical logic. Students respond with a system of SEED hand signals which allow everyone to participate and be monitored at once. (SM)

This study examined maternal contributions to development of spontaneous mastery in 30 toddlers with and 31 without cerebral palsy. Mothers in the 2 groups did not differ in the quality and appropriateness of interactions with their children. Maternal involvement was found to contribute significantly to both spontaneous mastery and developmental…

A 14-year-old Brazilian boy in the fourth grade was given 170 problems orally, each asking for the sum of 2 2-digit numbers. Responses indicated he had invented his own algorithm for addition, similar to the school one, based largely on his experiences with money. (Contains 13 references.) (JAF)

Discusses an activity using lined paper and rulers to discover and prove the triangle proportionality theorem. (MKR)

Describes the learning-cycle inquiry model and applies it to a history lesson on the problems and conflicts leading to World War I. Describes how students tackle a teacher-created problematic situation by conceptualizing questions, constructing hypotheses, and reaching consensus on solutions; debate their proposed solutions with the class; and…