There has long been dispute in mathematics between the drill and practice orientation that focuses primarily on memorizing mathematics as meaningless rote algorithms and the approach based on understanding and making creative use of mathematics. This 25-chapter book, based on a 7-year study at the University of Illinois, seeks to explain and…

This book presents the findings of a longitudinal study of 101 college students and the development of their ways of knowing over a 5-year period, focusing particularly on the role of gender in intellectual development. Part 1, "Understanding Gender-Related Patterns of Knowing," introduces different ways of knowing. Chapter 1 reviews the…

Intended for teachers of grades 7-16, this book discusses "heuristic" writing--writing that produces new, irreversible knowledge for the writer leading to a fuller understanding of the self and of the act of writing--as well as principles and practices having direct implications for a wide range of students. Chapter 1 examines the…

This book presents an ethnohistorical examination of American Indian thinking and philosophy and strives to explain the complexity of the American Indian mind in its traditional cultural and natural environment and in contrast to the American mainstream linear world. It is argued that Indian thinking is visual; circular; concerned with the…

The developmental increase in the ability to solve problems is a puzzle. Does it come from basic changes in mental skills, or is it a matter of practice? This book from the Developing Child series synthesizes recent research examining children's problem-solving skills development. Chapter 1 presents the major themes: (1) there is increasing…