Pathways to Number: Children's Developing Numerical Abilities

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  • Edition: 1st
  • Format: Hardcover
  • Copyright: 1992-06-01
  • Publisher: Lawrence Erlbau

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This volume celebrates the 50th anniversary of the famous and influential work of Jean Piaget and Alina Szeminska, The Child's Conception of Number.It is a tribute to those two authors as well as to the entire Geneva school that pioneered the genetic study of cognitive structures in children. Dealing with the process of the child's construction of the notion of number -- a very important subject for the child as well as for the teacher, the researcher, and the practicing psychologist -- it summarizes the progress that has been made and outlines new research directions in this area. The book is a compilation of the work of the foremost international researchers in this area and includes a wide spectrum of viewpoints and schools of thought. It also introduces several new authors from Europe, including students of Piaget, to the American academic community.

Table of Contents

Introductionp. 1
Learning About Numbers: Lessons for Mathematics Education From Preschool Number Developmentp. 19
A Tool For Number Construction: Finger Symbol Setsp. 41
Conservation and the Notion of """"Half""""p. 67
Learning Stages in the Construction of the Number Sequencep. 83
The Development of Preschoolers' Counting Skills and Principlesp. 99
Relationships Between Counting and Cardinality From Age 2 to Age 8p. 127
Number Conservation: Distinguishing Quantifier From Operator Solutionsp. 151
Early Principles Aid Initial but Not Later Conceptions of Numberp. 171
Subitizing: The Discontinuity After Threep. 191
From Number to Numbers in Use: Solving Arithmetic Problemsp. 209
The Appropriation of the Concept of Number: A Lengthy Processp. 219
The Multiple Roots of Natural Numbers and Their Multiple Interpretationsp. 229
Number Transcribing by Children: Writing Arabic Numbers Under Dictationp. 245
Understanding the Microgenesis of Number: Sequence Analysesp. 265
Learning Addition and Subtraction: Effects of Number Words and Other Cultural Toolsp. 283
Remedying Common Counting Difficultiesp. 307
Some Unforeseen Variants on the Number Construction Scenariop. 325
Assessment and Perspectivesp. 349
Referencesp. 363
Addendump. 385
Author Indexp. 387
Subject Indexp. 395
Table of Contents provided by Publisher. All Rights Reserved.

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