The problem of finding the area of a regular polygon is presented as a good example of a mathematical discovery that leads to a significant generalization. The problem of finding the number of sides which will maximize the area under certain conditions leads to several interesting results. (LS)

Describes a Science Open House for adults and children given by the Vassar College Laboratory Nursery School, emphasizing the importance of parent-teacher cooperative planning and the influence of Rachel Carson's viewpoints. Learning experiences were designed to investigate nature and sensory exploration, physical science, and mathematics. (SDH)

Mathematical investigations pursued by two gifted students are presented. One is written by a boy age 9 with his follow-up at 11; he studied patterns to derive the factors for the difference of two squares. Another boy of 11 discovered formulas for slopes of tangent lines and areas under curves. (LS)

This study reports on attempts to involve forty British teachers in a program of research into implementing inquiry/discovery approaches to teaching in classrooms, following the failure of a previous curriculum reform movement at the implementation stage. It was hypothesized that a fundamental problem of curriculum reform lies in the clash between…

Examples of activities involving geometric construction are suggested for discovery-oriented instruction. (SD)

Wayne State University in Detroit, Michigan conducts monthly workshops on the metric system as part of its community education programs. The goals, instructional approaches, and content of these workshops are described. (SD)

Presents part of a new series aimed at providing exploratory activities for preschool children as they seek to become acquainted with the world in which they live. (Author/EB)

Preschool reading behavior did not arise necessarily or spontaneously in an open classroom where a set of books was continually available. Because the open classroom acquires new properties and meanings when contrasted with the traditional school, complex factors influencing behavior, such as novelty and modeling, must be examined. (BJG)

Summary of Author's Ed.D. Dissertation, University of Nebraska, 1969

This report suggests that research in education, as well as the design of instruction, can be importantly influenced by the paradigm that guides the work. The application of a paradigm to educational research is illustrated, and two paradigms (reception learning and discovery learning) are contrasted. Finally, it is suggested that all educational…

THE EDUCATIVE PROCESS SHOULD AID THE MIGRANT CHILDREN TO LIVE A FULLER LIFE IN RELATION TO THEIR POTENTIAL AND SHOULD CONTAIN BROADER AND LESS RESTRICTIVE PATTERNS OF CULTURAL EXPECTANCIES. ALTHOUGH ACADEMIC KNOWLEDGE IS ESSENTIAL, A MORE PROMINENT PLACE MUST BE ASSIGNED TO AREAS OF KNOWLEDGE RELATED TO COMPREHENSION OF CULTURALLY INSPIRED…

THIS STUDY RELATED TO DISCOVERY METHODS OF TEACHING AND LEARNING WAS CONCERNED WITH TWO MAJOR QUESTIONS. FIRST, CAN "WHAT IS LEARNED" THROUGH MATHEMATICAL DISCOVERY BE IDENTIFIED AND TAUGHT BY EXPOSITION WITH EQUIVALENT RESULTS. SECOND, HOW DOES "WHAT IS LEARNED" DEPEND ON PRIOR LEARNING AND ON THE NATURE OF THE DISCOVERY…

These three colloqium papers focus on math readiness and the young child, the use of games in teaching basic math skills, and the teaching of math concepts through informal day care activities. The first paper discusses notions about math readiness. It points out that mental age has little to do with readiness to learn basic concept skills and…