Mathematical creativity ensures the growth of mathematics as a whole. However, the source of this growth, the creativity of the mathematician, is a relatively unexplored area in mathematics and mathematics education. In order to investigate how mathematicians create mathematics, a qualitative study involving five creative mathematicians was…

Previous research has shown that students' existing conceptions are critical to subsequent learning because there is interaction between the new knowledge that the students encounter and their existing knowledge from previous lessons. Taber (1999a) found A-level students in the UK had difficulty in understanding the principles determining the…

Geographical Education has been charged with a major responsibility for "delivering" Education for Sustainable Development (ESD) and Global Citizenship (GC) in the UK (DfEE & QCA, 1999; Grimwade et al., 2000) and, as this journal demonstrates, geography has an important role internationally (Haubrich, 2000; Houtsonen, 2002; Lidstone & Stoltman,…

This article presents a model of educational leadership--WICS--that encompasses "wisdom", "intelligence" and "creativity", "synthesized". The article opens with a general discussion of issues in models of leadership. Then it discusses the role of creativity in leadership, dividing the discussion into academic and practical aspects. Next it deals…

The Science Writing Heuristic (SWH) is an instructional technique that combines inquiry, collaborative learning, and writing to change the nature of the chemistry laboratory for students and instructors. The SWH provides a format for students to guide their discussions, their thinking, and writing about how science activities relate to their own…

The advent of computers in educational and psychological measurement has lead to the need for algorithms for optimal assembly of tests from item banks. This paper reviews the literature on optimal test assembly and introduces the contributions to this report on the topic. Four different approaches to computerized test assembly are discussed:…

This study examined the use of heuristic problem-solving strategies in math by seventh-graders under three different conditions: working individually; working in groups; and working as cooperative teams. No significant differences were found for the three conditions over a 5-week experimental period on a problem solving post-text (the Maryland…

Three strategies for augmenting the interpretation of significance test results are illustrated. Determining the most suitable indices to use in evaluating empirical results is a matter of considerable debate among researchers. Researchers increasingly recognize that significance tests are very limited in their potential to inform the…

As evidenced by the increasing awareness of metaphorical thought (and other nonlinear and aesthetic thinking structures) in literature on the development of composing and comprehending skills, teaching metaphor as a mode of thinking is an important function of schooling, especially in the English classroom. It is important that the classroom…

To develop practical Web-based instruction (WBI) design guidelines for faculty and instructional support staff, the author analyzed three different WBI design cases based on interviews with three experts. On the surface, the WBI design processes that each expert used look more alike than different, entailing similar major steps. The underlying…

Evaluates several views of the relationship between computers and education, and criticizes the use of artificial intelligence and natural language processing software for evaluating student writing. Recommends utilizing programs that use heuristic methods to ask students a series of questions to help them organize and compose papers. (SKC)

Describes common beliefs of students about the nature of mathematics and discusses the implications of the student beliefs for problem solving and for teaching. (PK)

Describes how consistent focused and sequenced freewriting with sequenced procedures for moving from it to additional writing leads students to more effective writing. (CHR)

A 1986 policy instituted by the Board of Governors of the California Community Colleges calls for strengthening the rigor and academic standards of all college-level courses to be counted toward the associate degree. The policy calls for all courses to promote students' ability to think critically. One of the first difficulties encountered by…

Judgment is the process of making decisions with incomplete information concerning either the outcomes or the decision factors. Sound judgment that leads to good decisions is an essential skill needed by adventure education and outdoor leadership professionals. Cognitive psychology provides several theories and insights concerning the accuracy of…