Presents a technique for introducing analysis of variance (ANOVA) at the concrete level of operational thought, enabling students in introductory statistics courses to understand the complex correlations and interactions between variables. Helps students develop an intuitive understanding of the concepts of between- and within-groups variance and…

This document suggests ways of using children's intuitive ideas about mathematics as a starting point for an elementary curriculum. Ways are discussed to capitalize on what children already know: to cultivate rather than discourage students' intuitive mathematical sense, and to help students make connections between what they know and what they…

Explores the notion of imaginative development. Defines imagination through a review of literature of music, religion, and aesthetics. Suggests that imagination precedes creativity and involves perception, intuition, thinking, and feeling. Describes a developmental sequence based on research. Proposes ways to cultivate imagination through music.…

Presents 13 examples in which the intuitive approach to solve the problem is often misleading. Presents analysis of these problems for five different sources of misleading intuitive generators: lack of analysis, unbalanced perception, improper analogy, improper generalization, and misuse of symmetry. (MDH)