Examines the prospect of facilitating the discovery process for scientific researchers through anticipatory learning that is viewed as critical to the enhancement of intuitive abilities in pattern recognition among researchers. Discusses intuition, metaphorical thinking, and aesthetics as playing significant roles in the development of pattern…

The psychology of personality has always attempted to define the individual in relation to normative data. However, personality theory should be attempting to define individuals from an interactive measurement model, examining the individual in terms of his own subjective impressions about what he does, with a conception of what he does not do.…

This investigation of the development of young children's concept of evaporation examines their intuitive explanations of real world events involving evaporation. A study of the effects of providing evidence contradicting their explanations and of directing their attention to relevant situational features provides insight into the development of…

Futures research involves speculation about alternative developments based upon existing data and potential choices. Effective futures research requires creativity in scientific practice rather than an overemphasis on reason. In discussing the important role of intuition in futures research, characteristics of creative scientists are reviewed and…

Abstracts of 12 mathematics education research reports and critical comments (by the abstractors) about the reports are provided in this issue of Investigations in Mathematics Education. The reports are: "More Precisely Defining and Measuring the Order-Irrelevance Principle" (Arthur Baroody); "Children's Relative Number Judgments:…

This document focuses on evidence from problem solving case studies which indicate that analogy, extreme case analogies, and physical intuition can play an important role as forms of nonformal reasoning in scientific thinking. Two examples of nonformal reasoning are examined in greater detail from 10 case studies of "expert" problem solving.…

Reports on a study which investigated the order of acquisition of intuitive notions of qualitative speed. Results indicated that an array of prerequisites, equivalent, and independent relationships existed among the tasks administered. Confirmed the evolution of reasoning for notions of qualitative speed found by Piaget. (Author/TW)

Compared and contrasted are the concepts intuition and logic. The ideas of conceptual thought and algorithmic thought are discussed in terms of the world as a labyrinth, intuition and time, and the structure of knowledge. (KR)

An influential proposal about aquiring mathematical knowledge is that it entails linking instruction-based concepts to intuitions derived from informal activities. In the case of non-positive numbers, informal knowledge is unlikely to emanate from observing physical objects, because non-positive objects or sets of objects do not exist. However, it…

Teaching style preferences of 157 teachers of gifted students were correlated with percent of time spent in teaching gifted children, years of teaching experience, and teaching level. Of the styles identified (Sensing-Thinking, Sensing-Feeling, Intuitive-Thinking, and Intuitive-Feeling), more experienced teachers revealed a preference for the…

Divided into two parts, this article analyzes why some pupils feel reserve about instantaneous velocities and instantaneous flows. The second part relates reactions of pupils facing a problem that implicates the instantaneous rate of change. Describes some characteristics of this problem that enables the authors to explain its instructional…

To investigate the origins and nature of intuitive obstacles affecting the learning of elementary probability theory, 618 Italian elementary and middle school students were interviewed about their methods of solution for several problems dealing with probability. The discussion focuses on four varieties of obstacles to learning prevalent within…