The terms generalization and abstraction are used with various shades of meaning by mathematicians and mathematics educators. Introduced is the idea of "generic abstraction" that gives the student an operative sense of a mathematical concept and provides a passage point in the process toward formal abstraction. (MDH)

This book, with accompanying CD-ROMs, was written to help readers understand children's intuitive mathematical thinking and use that knowledge to help children learn mathematics with understanding. Based on more than twenty years of research, this book portrays the development of children's understanding of basic number concepts. Detailed…

Arguing that evolution designed us to both teach and learn, this book explains how, and how much, babies and young children know and learn, and how much parents naturally teach them. The chapters are: (1) "Ancient Questions and a Young Science," including the concept of brain as computer, and the developmental science of Piaget and…

Discusses four general principles that help explain young children's preoperational thinking. Children tend to focus on one thing at a time; what they can see or experience; their own connections or explanations; and their own interpretations and representations. Suggests that teachers need to be good listeners and watch for clues to children's…

Two ways in which the college teacher accustomed to formal thought and formal teaching can reach students who are more adept at concrete learning are suggested. Guidelines are provided for the first method, which entails the incorporation of activities and materials into the regular lecture or lecture-discussion format of the class. The second,…

This first in a series of seven related teaching guides that together outline a public school district's English language arts curriculum for kindergarten through grade six focuses on a course of study for kindergarten. The guide explains the district's overall philosophy and teaching goals and the philosophy behind the development of the…

This second in a series of seven related teaching guides that together outline a public school district's English language arts curriculum for kindergarten through grade six focuses on a course of study for grade one. The guide explains the district's overall philosophy and teaching goals and the philosophy behind the development of a curriculum…

This third in a series of seven related teaching guides that together outline a public school district's English language arts curriculum for kindergarten through grade six focuses on a course of study for grade two. The guide explains the district's overall philosophy and teaching goals and the philosophy behind the development of a curriculum…

While other developmental theories, on a smaller scale, share center stage with Piagetian theory, Jean Piaget will likely be remembered as one of the world's leading psychologists of the twentieth century. This book, with a first version published nearly 20 years ago, attempts to make Piaget's concepts more "user friendly" for those…

Proposes a categorization scheme based on instructional design theory and empirical findings for employing various types of graphic/visual displays under specified conditions. (Author/CHC)

Described is how teachers can use the Concept Structuring Analysis Technique (ConSAT) as a diagnostic, learning, and assessment task in teaching science. In essence, ConSAT assists students in organizing concepts on paper so that they may link what they already know to what they have to learn. The technique thus applies the philosophical notion of…

This fourth in a series of seven related teaching guides that together outline a public school district's English language arts curriculum for kindergarten through grade six focuses on a course of study for grade three. The guide explains the district's overall philosophy and teaching goals and the philosophy behind the development of a curriculum…

This fifth in a series of seven related teaching guides that together outline a public school district's English language arts curriculum for kindergarten through grade six focuses on a course of study for grade four. The guide explains the district's overall philosophy and teaching goals and the philosophy behind the development of a curriculum…

This sixth in a series of seven related teaching guides that together outline a public school district's English language arts curriculum for kindergarten through grade six focuses on a course of study for grade five. The guide explains the district's overall philosophy and teaching goals and the philosophy behind the development of a curriculum…

This last in a series of seven related teaching guides that together outline a public school district's English language arts curriculum for kindergarten through grade six focuses on a course of study for grade six. The guide explains the district's overall philosophy and teaching goals and the philosophy behind the development of a curriculum…