Presents the problem of finding the maximum area of a quadrilateral when three of the four sides are given. Incorporates several parts of the secondary school precalculus curriculum into the solution. Develops the formula to solve the problem. (MDH)

Examines the problem of determining the minimum center of mass for a can with a varying height of liquid in it. Uses PC SOLVE computer software to graphically represent the problem situation. (MDH)

Investigates the question concerning the maximum number of lines of symmetry possessed by irregular polygons. Gives examples to illustrate and justify the generalization that the number of lines of symmetry equals the largest proper divisor of the number of sides. Suggests related classroom activities. (MDH)

Described is an activity that categorizes a two-digit number as "sneaky" if the continued process of taking the difference of the squares of its digits leads to a difference of zero. Other categorizations are determined by whether the difference process ends in a one-digit number or continues in a loop of numbers. (MDH)

Describes an approach in which students develop a book about themselves that combines photography and word processing skills. The project is based on the whole-language model of teaching literacy that develops reading, writing, listening, and speaking skills. (MLF)

Outlines a process-oriented approach to teaching movement and performance to young children. This approach applies a model, which stresses playing and problem solving and which focuses on the creative process rather than creation of a product, to the development of a method of teaching that encourages problem finding and problem solving. (MDM)

Describes the use of generative curriculum in a first-grade class, whereby students pursue their own topics of interest and ways of learning as they engage in meaningful inquiry. Outlines demonstrations that teachers can use to help students develop their own topics. Areas covered include composition, visual arts, notetaking, interviews, surveys,…

Presents three hands-on, discovery geometry lessons based on the use of special pieces called Polydrons by a fifth-grade class to build and investigate special properties of polyhedra and to stimulate students to think geometrically. Includes reproducible student worksheets. (MKR)

Discusses a course which combines Assessment, Investigation, and Mathematical Skills (A.I.M.S.) to originate, arouse, and sustain student interest in mathematics by changing to a more group-centered, democratic style of classroom management and by shifting toward more self-evaluation on the part of the students. (MKR)

Reviews 12 professional books dealing with the following topes: (1) children's literature; (2) literacy development; (3) young writers; (4) discovery science and nature; (5) whole-language resources on butterflies and on dinosaurs; (6) mathematics; (7) engaging children in literacy; (8) early childhood curriculum; (9) the High/Scope Perry…

This paper describes student performance and beliefs regarding fractions resulting from a five-phase approach toward developing mathematical intuition via physical materials. Interviews with students using this approach and with students using a conventional textbook approach indicated significant differences in problem-solving abilities and…

Presents a study to determine whether computer use in guided-discovery learning episodes would enhance the problem-solving ability of secondary school students (n=147). Results indicate interaction between low- and middle-level students' mathematical achievement and treatment groups, while high-level students performed well regardless of approach.…

Argues that traditional educational methods erode children's natural enthusiasm for learning. Suggests that reformers consider incorporating principles of Montessori education as a way to improve the present educational system. Replacing emphasis on performance and competition with respect for children's right to follow their own interests and…

Proposes replacing the term child-centered with child-sensitive to indicate more accurately the major role of teachers in determining the curriculum and activities offered to young children. In contrast to the laissez-faire, child-indulgent approach of many child-centered programs, a child sensitive approach would encourage teachers to capitalize…

Describes the federal legislation introduced in 1991 that provides formula grants to states to purchase elementary science equipment. The purchases are to be matched by local education agencies and coordinated with hands-on laboratory activities. (MDH)