The purpose of this paper is to examine some mathemagenic activities that would transform the internal representations of learners' cognitive structure. The paper pointed out that understanding scientific concept involves the learner's role in translating instructive information into internal representation through the use of some mathemagenic…

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…

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)

Describes the Novice-Expert (Novex) Analysis, a nine-step approach to instructional design aimed at effecting the shift from novice to expert by creating a series of learning activities to enable novices to construct an expert knowledge base. The "Dimensions of Processing Model" diagram illustrates how learning processes influence…

Conventional schooling too often ignores the influence of school culture on what is learned in school. Knowledge is situated, being in part a product of the activity, context, and culture in which it is developed and used; this is known as cognitive apprenticeship. Implications for understanding learning and teaching are discussed. (Author/BJV)

This essay is an examination of the efficacy of group methods in the facilitation of learning. It describes and characterizes two learning experiences and reports the findings on some unconventional educational methods. It provides a summary of six principles of learning and reviews some essential literature which compares a variety of teaching…

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…

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…

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a…