skip to content
Practical numerical algorithms for chaotic systems Preview this item
ClosePreview this item
Checking...

Practical numerical algorithms for chaotic systems

Author: Thomas S Parker; Leon O Chua
Publisher: Berlin ; New York : Springer Verlag, ©1989.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The studies presented in this book should be of interest to anybody concerned with the teaching of arithmetic to young children or with cognitive development in general.

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Additional Physical Format: Online version:
Parker, Thomas S.
Practical numerical algorithms for chaotic systems.
Berlin ; New York : Springer Verlag, ©1989
(OCoLC)646921473
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Thomas S Parker; Leon O Chua
ISBN: 0387966897 9780387966892 9783540966890 3540966897 0387966889 9780387966885 9781461281214 1461281210
OCLC Number: 19741515
Description: xiv, 348 pages : illustrations ; 24 cm
Contents: I: On the Construction of the Counting Scheme.- Children's Counting.- The Counting Types.- Perceptual Unit Items.- Figural Unit Items.- Motor Unit Items.- Verbal Unit Items.- Abstract Unit Items.- Ontogenetic Analysis.- Stages.- Adaptation.- Counting as a Scheme.- The First Part of the Counting Scheme.- The Third Part of the Counting Scheme.- Other Sources of Numerosity.- Perceptual Mechanisms.- Spatial Patterns.- Meaning Theory.- Reflection and Abstraction.- II: The Construction of Motor Unit Items: Brenda, Tarus, and James.- 1. Brenda.- The Perceptual Period.- The Motor Period.- Discussion of Brenda's Case Study.- The Perceptual Period.- The Motor Period.- 2. Tarus.- The Perceptual Period.- The Motor Period.- Discusion of Tarus's Case Study.- The Perceptual Period.- The Motor Period.- 3. James.- The Perceptual Period.- The Motor Period.- Discussion of James's Case Study.- The Perceptual Period.- The Motor Period.- Perspectives on the Three Case Studies.- Period Criterion.- The Incorporation and Invariant Sequence Criteria.- The Reorganization Criterion.- III: The Construction of Verbal Unit Items: Brenda, Tarus, and James.- 1. Brenda.- Discussion of Brenda's Case Study.- 2. Tarus.- Discussion of Tarus's Case Study.- 3. James.- Discussion of James's Case Study.- Perspectives on the Case Studies.- The Verbal Period as a Subperiod in the Figurative Stage.- Counting-on.- IV: The Construction of Abstract Unit Items: Tyrone, Scenetra, and Jason.- 4. Tyrone.- The Motor Period.- The Abstract Period.- Discussion of Tryone's Case Study.- 5. Scenetra.- The Motor Period.- The Verbal Period.- The Abstract Period.- Discussion of Scenetra's Case Study.- 6. Jason.- The Motor Period.- Creating Verbal Unit Items.- The Abstract Period.- Discussion of Jason's Case Study.- Perspectives on the Case Studies.- Stages.- Incorportation Criterion.- Transition to the Abstract Period.- The Reorganization of Counting.- V: Lexical and Syntactical Meanings: Brenda, Tarus, and James.- 1. Brenda.- The Perceptual Period.- The Motor Period.- The Verbal Period.- Discussion of Brenda's Case Study.- The Perceptual Stage.- The Figurative Stage.- 2. Tarus.- The Perceptual Period.- The Motor Period.- The Verbal Period.- Discussion of Tarus's Case Study.- The Perceptual Stage.- The Figurative Stage.- 3. James.- The Perceptual Period.- The Motor Period.- The Verbal Period.- Discussion of James's Case Study.- The Perceptual Stage.- The Figurative Stage.- Perspectives on the Case Studies.- The Perceptual Stage.- Finger Patterns.- The Figurative Stage.- Mobile Finger Patterns.- Sophisticated Finger Patterns.- Spatio-Auditory Patterns.- Dual Meanings of Number Words.- Counting as the Meaning of Number Words.- Summary of the Types of Preconcepts and Concepts.- Meanings of "Ten".- Ten as an Enactive Concept.- Ten as a Countable Figural Unit.- Ten as a Countable Motor Unit.- Adding Schemes.- The Perceptual Stage.- The Figurative Stage.- Comments on Prenumerical Children.- VI: Lexical and Syntactical Meanings: Tyrone, Scenetra, and Jason.- Systems of Integration.- Integrations.- Sequential Integration Operations.- Progressive Integration Operations.- Part-Whole Operations.- 4. Tyrone.- The Emergence of the Integration Operation.- The Period of Sequential Integration Operations.- The Period of Progressive Integration Operations.- The Period of Part-Whole Operations.- Discussion of Tyrone's Case Study.- The Emergence of the Integration Operation.- The Period of Sequential Integration Operations.- The Period of Progressive Integration Operations.- The Period of Part-Whole Operations.- Unit Types of the Unit of Ten.- 5. Scenetra.- Recognition and Re-Presentation of Patterns.- The Emergence of the Integration Operation.- The Period of Sequential Integration operations.- The Period of Progressive Integreation Operations.- Discussion of Scenetra's Case Study.- The Emergence of the Integratoin Operation.- The Period of Sequential Integration Operations.- The Period of Progressive Integration Operations.- Unit Types of the Unit of Ten.- 6. Jason.- Recognition and Re-Presentation of Patterns.- The Emergence of The Integration Operation.- The Period of Sequential Integration Operations.- The Period of Progressive integration Operations.- The Period of Part-Whole Operations.- Discussion of Jason's Case Study.- The Emergence of the Integration Operation.- The Period of Sequential Integration Operations.- The Period of Progressive Integration Operations.- The Period of Part-Whole Operations.- Unit Types of the Unit of Ten.- Perspectives on the Case Studies.- The Emergence of the Integration Operation.- Numerical Patterns.- Number Sequences.- Stages in the Construction of the Numerical Counting Scheme.- Piaget's Invariant Sequence and Incorporation Criteria.- The Reorganization Criterion.- Units of One.- The Unit of One in Sequential Integration Operations.- The Unit of One in Progressive Integration Operations.- The Unit of One in Part-Whole Operations.- Units of Ten.- The Stage of Sequential Integration Operations.- The Stage of Progressive Integration Operations.- The Stage of Part-Whole Operations.- Other Perspectives.- VII: Strategies for Finding Sums and Differences: Brenda, Tarus, and James.- Brenda.- Independent Solutions.- Number Word Coordinations.- Tarus.- Independent Solutions.- Number Word Coordinations.- James.- Independent Solutions.- Number Word Coordinations.- Perspectives on the Case Studies.- Number Facts.- VIII: Strategies for Finding Sums and Differences: Tyrone, Scenetra, and Jason.- Sequential Integration Operations.- Jason.- Tyrone.- Scenetra.- Discussion: Sequential Integration Operations.- Progressive Integration Operations.- Jason.- Tyrone.- Scenetra.- Discussion: Progressive Integration Operations.- Part-Whole Operations.- Jason.- Tyrone.- Perspective on the Case Studies.- Arithmetical Context.- Thinking Strategies and Integration Operations.- Thinking Strategies and the Basic Facts.- Thinking Strategies and the Construction of Part-Whole Operations.- Goals for Teaching Thinking Strategies.- IX: Modifications of the Counting Scheme.- Predicting Modifications of the Counting Scheme.- Mathematical Learning.- The Perceptual Stage.- Temporary Modifications.- Procedural Accommodations.- Engendering Accommodations.- Isolated Procedural Accommodations.- The Figurative Stage.- Procedural Accommodations.- Temporary Modifications.- Retrospective Accommodations.- Re-presentation and Review of Prior Activity.- The Figurative Stage: Tyrone, Scenetra, and Jason.- Procedural Engendering Accommodations.- Temporary Modifications.- Metamorphic Accommodations.- Stages in the Construction of Part-Whole Operations.- Sequential Integration Operations.- Procedural Accommodations.- Engendering Accommodations.- Progressive Integration Operations.- Internal Reorganizations.- Part-Whole Operations.- Phylogenetic Perspectives.- Zones of Potential Development in Retrospect.- Figurative Stage.- Sequential Integration Operations.- Progressive Integration Operations.- Part-Whole Operations.- Final Comments.- References.
Responsibility: Thomas S. Parker, Leon O. Chua.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/19741515> # Practical numerical algorithms for chaotic systems
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "19741515" ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/21821274#Place/berlin> ; # Berlin
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/21821274#Topic/comportement_chaotique_des_systemes> ; # Comportement chaotique des systèmes
    schema:about <http://experiment.worldcat.org/entity/work/data/21821274#Topic/chaos_science> ; # Chaos (Science)
    schema:about <http://experiment.worldcat.org/entity/work/data/21821274#Topic/theories_non_lineaires> ; # Théories non linéaires
    schema:about <http://dewey.info/class/003/e20/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/21821274#Topic/chaos> ; # Chaos
    schema:about <http://id.worldcat.org/fast/805020> ; # Algorithms
    schema:about <http://id.worldcat.org/fast/852171> ; # Chaotic behavior in systems
    schema:about <http://experiment.worldcat.org/entity/work/data/21821274#Topic/algorithmes> ; # Algorithmes
    schema:about <http://id.worldcat.org/fast/1038812> ; # Nonlinear theories
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://viaf.org/viaf/7559107> ; # Leon O. Chua
    schema:copyrightYear "1989" ;
    schema:creator <http://viaf.org/viaf/72029311> ; # Thomas S. Parker
    schema:datePublished "1989" ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/21821274> ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/646921473> ;
    schema:name "Practical numerical algorithms for chaotic systems"@en ;
    schema:productID "19741515" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/19741515#PublicationEvent/berlin_new_york_springer_verlag_1989> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/21821274#Agent/springer_verlag> ; # Springer Verlag
    schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2177419&custom_att_2=simple_viewer> ;
    schema:workExample <http://worldcat.org/isbn/9783540966890> ;
    schema:workExample <http://worldcat.org/isbn/9780387966885> ;
    schema:workExample <http://worldcat.org/isbn/9781461281214> ;
    schema:workExample <http://worldcat.org/isbn/9780387966892> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/19741515> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/21821274#Agent/springer_verlag> # Springer Verlag
    a bgn:Agent ;
    schema:name "Springer Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/21821274#Topic/algorithmes> # Algorithmes
    a schema:Intangible ;
    schema:name "Algorithmes"@en ;
    schema:name "Algorithmes"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/21821274#Topic/chaos_science> # Chaos (Science)
    a schema:Intangible ;
    schema:name "Chaos (Science)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/21821274#Topic/comportement_chaotique_des_systemes> # Comportement chaotique des systèmes
    a schema:Intangible ;
    schema:name "Comportement chaotique des systèmes"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/21821274#Topic/theories_non_lineaires> # Théories non linéaires
    a schema:Intangible ;
    schema:name "Théories non linéaires"@en ;
    schema:name "Théories non linéaires"@fr ;
    .

<http://id.worldcat.org/fast/1038812> # Nonlinear theories
    a schema:Intangible ;
    schema:name "Nonlinear theories"@en ;
    .

<http://id.worldcat.org/fast/805020> # Algorithms
    a schema:Intangible ;
    schema:name "Algorithms"@en ;
    .

<http://id.worldcat.org/fast/852171> # Chaotic behavior in systems
    a schema:Intangible ;
    schema:name "Chaotic behavior in systems"@en ;
    .

<http://viaf.org/viaf/72029311> # Thomas S. Parker
    a schema:Person ;
    schema:familyName "Parker" ;
    schema:givenName "Thomas S." ;
    schema:name "Thomas S. Parker" ;
    .

<http://viaf.org/viaf/7559107> # Leon O. Chua
    a schema:Person ;
    schema:birthDate "1936" ;
    schema:familyName "Chua" ;
    schema:givenName "Leon O." ;
    schema:name "Leon O. Chua" ;
    .

<http://worldcat.org/isbn/9780387966885>
    a schema:ProductModel ;
    schema:isbn "0387966889" ;
    schema:isbn "9780387966885" ;
    .

<http://worldcat.org/isbn/9780387966892>
    a schema:ProductModel ;
    schema:isbn "0387966897" ;
    schema:isbn "9780387966892" ;
    .

<http://worldcat.org/isbn/9781461281214>
    a schema:ProductModel ;
    schema:isbn "1461281210" ;
    schema:isbn "9781461281214" ;
    .

<http://worldcat.org/isbn/9783540966890>
    a schema:ProductModel ;
    schema:isbn "3540966897" ;
    schema:isbn "9783540966890" ;
    .

<http://www.worldcat.org/oclc/646921473>
    a schema:CreativeWork ;
    rdfs:label "Practical numerical algorithms for chaotic systems." ;
    schema:description "Online version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/19741515> ; # Practical numerical algorithms for chaotic systems
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.