The impulse to investigate the natural world is deeply rooted in our earliest childhood experiences. This notion has long guided researchers to uncover the cognitive mechanisms underlying the development of scientific reasoning in children. Until recently, however, research in cognitive development and education followed largely independent…

Ritual has played an integral role in human development and socialization throughout history. This paper seeks to highlight that role so that the importance of perpetuating ritual becomes obvious and necessary. The purpose of this paper is to re-iterate the significance of ritual in human development, education, and social improvement; discuss the…

Constructivist theory argues that students construct knowledge for themselves and that each knows the world in a different way. The problem for education is how students can construct an "objectified" knowledge. Outlines an integrative framework for the description of information and problem-solving procedures and a problem-solving…

Compared are the van Hiele levels of geometric thinking and the geometry curriculum recommended by the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics. Activities which illustrate the various levels are provided by grade level with procedures. (CW)

Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)

Reviews the logic underlying mathematical induction and presents 10 tasks designed to help students develop a conceptual framework for mathematical induction. (Contains 20 references.) (MDH)

The contrast between the teaching of reading and mathematics is drawn. A new set of learning conditions for mathematics is presented based on a model of reading instruction. Immersion, demonstration, engagement, expectations, responsibility, use approximation, response, refinement, and outcomes are discussed. (CW)

This monograph represents 5 years of collaborative discussions among individuals interested in improving the teaching and learning of mathematics beginning in 1985 with the planning of a conference and culminating in the production of this collection of 13 papers to be presented at the conference. Chapters include: (1) an introduction…

The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

Discusses recent research in cognitive psychology that identifies how students are likely to respond when controversial issues are included in course content. Points out that controversial material may lead to misunderstandings and forgetting. Provides teaching ideas to enhance student learning and remembering, to deal with emotions, and to foster…

Maintains that student-centered curriculum embodies the progressive and constructivist principles of active, participatory learning. Advocates emphasizing the importance of context as part of a constructivist approach. Includes instructional examples of connecting contextual information about artworks to constructivist activities. (MJP)