This paper describes an approach for pre-service or in-service mathematics education that teaches sophisticated mathematics using only the tools of high school mathematics. The idea is to start with a standard problem from high school mathematics and let the solution to this problem serve as a platform for asking good mathematical questions and…

Utopianism, which is a distinctive vocabulary of hope, teaches us that society, including its physical sites of social and political practice, are both imagined and made and that we can accordingly believe they can be reimagined and remade. This paper exemplifies how exercises of the utopian imagination within teacher education curricula are able…

BECAUSE OF THE EVER INCREASING EXPANSION OF KNOWLEDGE AND CULTURAL CHANGES, TEACHING CHILDREN TO DISCOVER (DEFINED HERE AS THE ACQUISITION OF AN ABILITY TO FORMULATE AND SOLVE PROBLEMS) SHOULD BE GIVEN CONSIDERABLE SIGNIFICANCE AS AN EDUCATIONAL GOAL. THE PURPOSE OF THIS REPORT IS (1) TO CLARIFY CERTAIN ASPECTS OF TEACHING CHILDREN TO DISCOVER,…

In the form of a discussion between faceless people, this booklet concerns discovery learning and its advantages. Subjects covered in the discussions are: Introducing the Discovery Method; An Experiment with British Railways; The OECD Research Projects in U.S.A., Austria, and Sweden; How the Discovery Method Differs from Other Methods; Discovery…

Illustrates and discusses the nonlinear curriculum and suggests some implications of the teacher's role in this approach to informal learning. (ED)

Describes the process of play as a basis for language arts learning by gifted children. (DD)

Assesses the acceptance of and expressed preference for varying levels of salt in soup among children three to six years of age. (HOD)

This paper reviews and analyzes the term "exploration" as used with selected models associated with the instruction of children. (MT)

The problem of determining the number of squares having vertices at pegs on geoboard is considered. (DT)

Hypothesis discussed is that discovery methods of training improve students' subsequent ability to discover new rules for themselves if, during training, the students succeed in discovering the rules that were the subject of the training. (Author/CB)

Satiric essay intended to underscore the virtues of discovery learning and educational technology when applied to science instruction and testing. (LS)