Describes a model for generative teaching of comprehension that focuses on students' knowledge base and preconceptions; motivation; attention; and generation of new models and explanations. Generative teaching procedures for facilitating comprehension in elementary school are reported. (Author/LB)

Reviews recent research in the area of mathematical understanding and compares and contrasts it with a model formulated for the growth of understanding. Uses the analysis of a transcript from an interview with an eight-year-old boy to illustrate the power of the model to describe and map the growth of his mathematical understanding. (18…

This book brings a philosophical perspective to the topic of children's thinking. It attempts to answer the questions of what it is to think and understand, and how children do so. The book provides an introduction to the philosophy of education as it relates to children's understanding, and is careful not to assume any previous philosophical…

Cognitive flexibility is indispensable for applying knowledge to new situations. The development of this ability depends on certain conditions such as the attainment of a deep comprehension of the subject matter and the exposure to different knowledge representations. This paper focuses on these conditions and describes a study designed to foster…

Defines a generalization as "a descriptive statement of broad application indicating a relationship between two or more concepts." Argues that successful teaching about generalizations can only occur when students understand the relationship between concepts and facts. Discusses four issues and four approaches related to teaching…