Mathematical and Analogical Reasoning of Young Learners

ISBN-13: 9780805841022 / Angielski / Twarda / 2004 / 236 str.

Lyn English

Opis

This book draws upon studies of the development of young children's mathematical and analogical reasoning in the United States and Australia to address a number of significant issues in the mathematical development of young children.

Recenzje

"This book is a very useful resource not only for mathematics education researchers, cognitive psychologists and teacher educators but would also benefit classroom teachers of young children. Understanding the development of children's reasoning processes would help teachers tailor instruction that facilitates and nurtures the natural 'mathematical' tendencies of young children....recommended very highly."

—The Montana Mathematics Enthusiast

"This book fills a niche in the current literature. It takes us back to the very roots of learning by investigating foundational questions on the nature of, the evolution of, and the complexity of reasoning in young children. The book's attempt to create a research base on children's analogical reasoning and its relationship to mathematical reasoning is a giant step in the right direction. It is certainly an eye-opener for anybody interested in complexities of the teaching and learning of mathematics."

—ZDM - International Reviews on Mathematical Education

Spis treści

Contents: Preface. L.D. English, Mathematical and Analogical Reasoning in Early Childhood. P.A. Alexander, M. Buehl, Seeing the Possibilities: Constructing and Validating Measures of Mathematical and Analogical Reasoning for Young Children. M.M. Buehl, P.A. Alexander, Longitudinal and Cross-Cultural Trends in Young Children's Analogical and Mathematical Reasoning Abilities. S. Chiu, M.O. Tron, Classroom Discourse and the Development of Mathematical and Analogical Reasoning. D. Deal, S. Hardy, Portraying Mathematical and Analogical Reasoning in the Young: Three Case Studies. C.S. White, D. Deal, C.B. Deniz, Teachers' Knowledge, Beliefs, and Practices and Mathematical and Analogical Reasoning. C.S. White, D. Deal, Case Studies of Teacher Beliefs, Knowledge, and Practices. U. Goswami, Commentary: Analogical Reasoning and Mathematical Development. G. Hatano, T. Sakakibara, Commentary: Toward a Cognitive-Sociocultural Psychology of Mathematical and Analogical Development. L.D. English, Promoting the Development of Young Children's Mathematical and Analogical Reasoning.

O autorze

Lyn D. English