Mathematical and Analogical Reasoning of Young Learners [NOOK Book]

Overview

Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and is identified as one of the 10 key standards for school mathematics for the new millennium. The book draws on longitudinal and cross-cultural studies, conducted in the United States and Australia, of...
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Mathematical and Analogical Reasoning of Young Learners

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Overview

Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and is identified as one of the 10 key standards for school mathematics for the new millennium. The book draws on longitudinal and cross-cultural studies, conducted in the United States and Australia, of children's reasoning development as they progressed from preschool through the end of second grade.

The multifaceted analysis of young children's development of mathematical and analogical reasoning focuses on individual learners, their learning environments, and the interaction between the two. The multidisciplinary team of authors present multiple perspectives and multiple methodologies, and provide valuable information on organizing and sustaining interdisciplinary and cross-cultural inquiry. Key issues addressed include:
*the relationship between mathematical and analogical reasoning;
*how changes in children's reasoning relate to the implicit instruction they receive in their classrooms;
*analyses of the participating teachers' knowledge, beliefs, and practices with respect to mathematical and analogical reasoning of young learners; and
*ways in which we might promote development of mathematical and analogical reasoning in young children.

This volume is highly relevant for mathematics educators, researchers in mathematics education, educational psychologists, early childhood teachers, and others interested in mathematical development of young children, in particular, the development of their reasoning processes.
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Product Details

Table of Contents

1 Mathematical and analogical reasoning in early childhood 1
2 Seeing the possibilities : constructing and validating measures of mathematical and analogical reasoning for young children 23
3 Longitudinal and cross-cultural trends in young children's analogical and mathematical reasoning abilities 47
4 Classroom discourse and the development of mathematical and analogical reasoning 75
5 Portraying mathematical and analogical reasoning in the young : three case studies 97
6 Teachers' knowledge, beliefs, and practices and mathematical and analogical reasoning 127
7 Case studies of teacher beliefs, knowledge, and practices 153
8 Commentary : analogical reasoning and mathematical development 169
9 Commentary : toward a cognitive-sociocultural psychology of mathematical and analogical development 187
10 Promoting the development of young children's mathematical and analogical reasoning 201
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