This article comprises a lyrical exposition of the 'in-betweenness' that underlies pedagogical relations and musical practice. The latter comprises making, performing, teaching, and indeed listening to music, phenomena encapsulated in the term 'musicking', first coined by the musicologist Christopher Small in 1999. Improvisatory practice is…

In education, the child is often observed as a potential to be shaped and realised. In this article, we analyse the educational program, First Lego League. Surprisingly, its aim is not simply to realise a potential, but to potentialise the child to become unlimited potential. Children should become 'a force for change', and they are told that 'you…

Interdisciplinary research can be defined as the practice of discovering new objects of knowledge beyond disciplinary borders. It often operates through the cross-fertilization and hybridization of concepts, theoretical frameworks, and methodological tools to enable the description, analysis, and understanding of the complexity of objects of study…

Describes three major difficulties plaguing most discovery-learning teaching systems and presents a theoretical operational approach for offsetting these difficulties. (SL)

The inquiry approach to learning is based on three phases. The exploratory phase encourages students to investigate a particular topic; the invention phase asks students to consider what they have learned; the final phase assists students in discovering the inadequacies of their inventions. (JN)

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)

Gives an example of an open exploration using trigonometric relationships in which the law of cosines can be deduced from the law of sines. Discusses the characteristics and value of the exploration process. (MDH)

Based on a project concerned with studying invention across the curriculum, this paper discusses an across-the-curriculum writing program that encourages students to take control of what they are studying, contributing to what is known rather than being passively filled by it. The paper (1) challenges the current notion that creative behavior is a…

Focuses on student involvement in determining course structure through journal writing. Successful student writers become highly skilled at directing the course of their own learning. The data in the journals inform teachers about what is occurring in learners' heads. Reflective journal writers are adopting a professional approach to their…

This book attempts to introduce students to the creative aspects of mathematics through exploratory problems. The introduction presents the criteria for the selection of the problems in the book. Criteria indicate that problems should: be immediately attractive, require data to be generated or gathered, appeal to students from junior high school…