The child's conception of number / by Jean Piaget, Professor at the University of Geneva and at the Institute of J.J. Rousseau Geneva.

Format:

Book

Author/Creator:

Piaget, Jean, 1896-1980, author.

Contributor:

W.W. Norton & Company, publisher.

Mark B. Adams Emergence of Modern Science Collection (University of Pennsylvania)

Series:

Norton library ; N324.

The Norton library ; N324

Standardized Title:

Genèse du nombre chez l'enfant. English

Language:

English

Subjects (All):

Number concept in children.

Cognition in children.

Child psychology.

Number concept.

Penn Provenance:

Adams, Mark B., (former owner) (autograph, April, 1969) (Adams copy)

Physical Description:

x, 248 pages ; 20 cm.

Place of Publication:

New York : W.W. Norton & Company, Inc., 1965.

Summary:

Professor Piaget discusses a set of investigations he and a team of co-workers carried out on the genesis of the notion of number in the child's mind.

Contents:

Part I: Conservation of quantities and invariance of wholes

I. Conservation of continuous quantities

1. Technique and general results

2. Stage I: Absence of conservation

3. Stage II: Intermediary reactions

4. Stage III:. Necessary conservation

II. Conservation of discontinuous quantities and its relation to one-one correspondence

1. Stage I: Absence of conservation

2. Stage II: Beginnings of construction of permanent sets

3. Stage III: Conservation and quantifying co-ordination

Part II: Cardinal and ordinal one-one correspondence

III. Provoked correspondence and equivalence of corresponding sets

1. One-one correspondence between glasses and bottles

2. Correspondence between flowers and vases and between eggs and egg-cups

3. One for one exchange of pennies and objects

4. One for one exchange in conjunction with counting aloud

IV. Spontaneous correspondence: cardinal value of sets

1. Reproduction of figures

2. Single rows

3. Conclusions

V. Seriation, qualitative similarity and ordinal correspondence

2. Construction of serial correspondence (qualitative similarity)

3. From serial correspondence to ordinal correspondence

4. Reconstruction of cardinal correspondence

VI. Ordination and cardination

1. The experiment with sticks and the problem of seriation

2. The experiment with cards forming a staircase

3. The experiment with mats and hurdles

4. Conclusions: ordination and cardination

Part III: Additive and multiplicative compositions

VII. Additive composition of classes: relations between class and number

1. Technique and results

2. Stage I: Absence of additive composition

3. Stages II and III: Progressive reversibility of operations

4. Number, and additive composition of classes

VIII. Additive composition of numbers and arithmetical relations of part to whole

1. Technique and results

2. Relations between parts and whole, and changes in composition of parts

3. Equating of quantities

4. Division into equal parts

5. Conclusion

IX. Co-ordination of relations of equivalence and multiplicative composition of numbers

1. Constitution of one-one correspondence and composition of relations of equivalence

2. Stages of composition of relations of equivalence

3. Multiple correspondence and numerical multiplication

4. Conclusion: multiplication of classes and numbers

X. Additive and multiplicative composition of relations and equalization of differences

1. Problems and results

2. Development of the notion of measure

3. Composition of relations and of numerical units

4. Conclusions.

Notes:

"First published in French 1941 under the title La Genèse du Nombre chez l'Enfant"--Title page verso.

"First published in England 1952. First published in the Norton Library 1965 ..."--verso of title page

Includes bibliographical references and index.

Local Notes:

Kislak Center copy gifted by Dr. Mark B. Adams in 2018.

OCLC:

223061