skip to content
Tools and mathematics : instruments for learning Preview this item
ClosePreview this item
Checking...

Tools and mathematics : instruments for learning

Author: John Monaghan; Luc Trouche; Jonathan M Borwein
Publisher: Switzerland : Springer, [2016]
Series: Mathematics education library.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has four parts. The first part sets the scene with a reflection on doing a mathematical task with different tools, a mathematician's account of tool use in his work and historical considerations of tool use. The second part opens with a broad review of technology and intellectual trends, circa 1970,  Read more...
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

Genre/Form: Electronic books
Additional Physical Format: Print version:
Monaghan, John.
Tools and Mathematics.
Cham : Springer International Publishing, ©2016
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John Monaghan; Luc Trouche; Jonathan M Borwein
ISBN: 9783319023960 3319023969
OCLC Number: 947837434
Description: 1 online resource.
Contents: Foreword; Preface; Contents; About the Authors; Part I: Setting the Scene; Chapter 1: Introduction to the Book; 1.1 Introduction; 1.2 The Purpose and Scope of This Book; 1.3 What Is a Tool?; 1.3.1 Johnś Attempt to Address This Question; 1.3.2 Lucś Attempt to Address This Question; 1.4 The Structure of the Book; References; Chapter 2: Doing Mathematics with Tools: One Task, Four Tools; 2.1 Introduction; 2.2 Bisecting an Angle with a Straight Edge and a Compass; 2.3 Bisecting an Angle with a Protractor; 2.4 Bisecting an Angle with a Dynamic Geometry System; 2.5 Bisecting an Angle with a Book. Chapter 3: The Life of Modern Homo Habilis Mathematicus: Experimental Computation and Visual Theorems3.1 Introduction; 3.1.1 Who I Am and How I Got That Way; 3.1.2 What Follows; 3.1.3 Some Early Conclusions; 3.2 Visual Theorems and Experimental Mathematics; 3.2.1 Visual Theorems; 3.2.2 On Picture-Writing; 3.2.2.1 Proofs Without Words; 3.3 Experimental Mathematics; 3.3.1 Experimental Mathodology; 3.3.2 When Science Becomes Technology; 3.3.2.1 Minimal Configurations; 3.3.3 Mathematical Discovery (or Invention); 3.3.4 Digital Assistance; 3.3.5 The Twentieth Centuryś Top Ten Algorithms. 3.3.6 Secure Knowledge Without Proof3.3.7 Is `Free ́Software Better?; 3.4 A Dozen or So Accessible Examples; 3.5 Simulation in Pure Mathematics; 3.5.1 Monte Carlo Simulation of pi; 3.5.2 Finding a Region of Convergence; 3.6 Case Studies I: Dynamic Geometry; 3.6.1 Case Study Ia: Iterative Reflections; 3.6.2 Case Study Ib: Protein Conformation; 3.7 Case Studies II: Numerical Analysis; 3.7.1 Case Study IIa: Trefethenś 100 Digit Challenge; 3.7.2 Case Study IIb: Algorithms for Polylogarithms; 3.8 Case Studies III: Randomish Walks; 3.8.1 Case Study IIIa: Short Walks; 3.8.1.1 The Three-Step Walk. 3.8.1.2 The Four-Step Walk3.8.2 Case Study IIIb: Number Walks; 3.8.3 Case Study IIIc: Normality of Stoneham Numbers; 3.9 Conclusion; References; Chapter 4: Tools, Human Development and Mathematics; 4.1 Introduction; 4.2 Tool Use and Phylogenesis; 4.3 Ancient Greece; 4.3.1 Discussion of This Proof; 4.3.2 Tools; 4.3.3 Oral and Written Mathematics; Communities of Practice; 4.4 Ancient Indian Square Roots; 4.5 Abaci; 4.6 Tools for Calculation in Europe Circa 1600; 4.7 Discussion: Insights on Tool Use Over Time; References. Chapter 5: The Development of Mathematics Practices in the Mesopotamian Scribal Schools5.1 Introduction; 5.2 A Critical Moment; 5.3 The Computation Practices and Their Support in Scribal Schools; 5.4 Evidencing Computing Artefacts Complementing the Usage of Tablets and Memory; 5.5 Analysing the Algorithm for Calculating a Reciprocal, a Way for Entering the Spirit of Mesopotomian Computation; ; 5.6 Conclusion and Discussion; References; Chapter 6: Discussions of Part I Chapters; 6.1 Introduction; 6.2 Interactions with John and Jon Follow-Up; 6.2.1 Writing and Mathematics, a Dual Invention?
Series Title: Mathematics education library.
Responsibility: John Monaghan, Luc Trouche, Jonathan M. Borwein.

Abstract:

This book offers an exploration of tools and mathematics and issues in mathematics education related to tool use, from pre-history to future directions in the field. It includes coverage of  Read more...

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/947837434> # Tools and mathematics : instruments for learning
    a schema:Book, schema:CreativeWork, schema:MediaObject ;
    library:oclcnum "947837434" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/2989152485#Topic/mathematics_essays> ; # MATHEMATICS--Essays
    schema:about <http://experiment.worldcat.org/entity/work/data/2989152485#Topic/mathematics_pre_calculus> ; # MATHEMATICS--Pre-Calculus
    schema:about <http://dewey.info/class/510.71/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/2989152485#Topic/mathematics> ; # Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/2989152485#Topic/mathematics_reference> ; # MATHEMATICS--Reference
    schema:about <http://experiment.worldcat.org/entity/work/data/2989152485#Topic/mathematics_study_and_teaching> ; # Mathematics--Study and teaching
    schema:author <http://experiment.worldcat.org/entity/work/data/2989152485#Person/trouche_luc> ; # Luc Trouche
    schema:author <http://experiment.worldcat.org/entity/work/data/2989152485#Person/monaghan_john> ; # John Monaghan
    schema:author <http://experiment.worldcat.org/entity/work/data/2989152485#Person/borwein_jonathan_m> ; # Jonathan M. Borwein
    schema:bookFormat schema:EBook ;
    schema:datePublished "2016" ;
    schema:description "Foreword; Preface; Contents; About the Authors; Part I: Setting the Scene; Chapter 1: Introduction to the Book; 1.1 Introduction; 1.2 The Purpose and Scope of This Book; 1.3 What Is a Tool?; 1.3.1 Johnś Attempt to Address This Question; 1.3.2 Lucś Attempt to Address This Question; 1.4 The Structure of the Book; References; Chapter 2: Doing Mathematics with Tools: One Task, Four Tools; 2.1 Introduction; 2.2 Bisecting an Angle with a Straight Edge and a Compass; 2.3 Bisecting an Angle with a Protractor; 2.4 Bisecting an Angle with a Dynamic Geometry System; 2.5 Bisecting an Angle with a Book."@en ;
    schema:description "This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has four parts. The first part sets the scene with a reflection on doing a mathematical task with different tools, a mathematician's account of tool use in his work and historical considerations of tool use. The second part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The third part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future and digital tools: task design; the importance of artefacts in gameplay; and new forms of activity via connectivity."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/2989152485> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2989152485#Series/mathematics_education_library> ; # Mathematics education library.
    schema:isSimilarTo <http://worldcat.org/entity/work/data/2989152485#CreativeWork/tools_and_mathematics> ;
    schema:name "Tools and mathematics : instruments for learning"@en ;
    schema:productID "947837434" ;
    schema:url <https://login.proxy.lib.strath.ac.uk/login?url=http://link.springer.com/10.1007/978-3-319-02396-0> ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/book/10.1007/978-3-319-02396-0> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1188392> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=4509021> ;
    schema:url <http://www.myilibrary.com?id=917145> ;
    schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-319-02395-3> ;
    schema:url <https://login.libproxy.noctrl.edu/login?url=http://link.springer.com/10.1007/978-3-319-02396-0> ;
    schema:url <http://rave.ohiolink.edu/ebooks/ebc/9783319023960> ;
    schema:url <http://sfx.carli.illinois.edu/sfxwhe/sfx_local?genre=book&sid=Voyager:WHE&sfx.ignore_date_threshold=1&svc.fulltext=yes&rft.isbn=978-3-319-02396-0> ;
    schema:url <http://link.springer.com/10.1007/978-3-319-02396-0> ;
    schema:workExample <http://worldcat.org/isbn/9783319023960> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/947837434> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/2989152485#Person/borwein_jonathan_m> # Jonathan M. Borwein
    a schema:Person ;
    schema:familyName "Borwein" ;
    schema:givenName "Jonathan M." ;
    schema:name "Jonathan M. Borwein" ;
    .

<http://experiment.worldcat.org/entity/work/data/2989152485#Person/monaghan_john> # John Monaghan
    a schema:Person ;
    schema:familyName "Monaghan" ;
    schema:givenName "John" ;
    schema:name "John Monaghan" ;
    .

<http://experiment.worldcat.org/entity/work/data/2989152485#Person/trouche_luc> # Luc Trouche
    a schema:Person ;
    schema:familyName "Trouche" ;
    schema:givenName "Luc" ;
    schema:name "Luc Trouche" ;
    .

<http://experiment.worldcat.org/entity/work/data/2989152485#Series/mathematics_education_library> # Mathematics education library.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/947837434> ; # Tools and mathematics : instruments for learning
    schema:name "Mathematics education library." ;
    schema:name "Mathematics education library" ;
    .

<http://experiment.worldcat.org/entity/work/data/2989152485#Topic/mathematics_essays> # MATHEMATICS--Essays
    a schema:Intangible ;
    schema:name "MATHEMATICS--Essays"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2989152485#Topic/mathematics_pre_calculus> # MATHEMATICS--Pre-Calculus
    a schema:Intangible ;
    schema:name "MATHEMATICS--Pre-Calculus"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2989152485#Topic/mathematics_reference> # MATHEMATICS--Reference
    a schema:Intangible ;
    schema:name "MATHEMATICS--Reference"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2989152485#Topic/mathematics_study_and_teaching> # Mathematics--Study and teaching
    a schema:Intangible ;
    schema:name "Mathematics--Study and teaching"@en ;
    .

<http://worldcat.org/entity/work/data/2989152485#CreativeWork/tools_and_mathematics>
    a schema:CreativeWork ;
    rdfs:label "Tools and Mathematics." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/947837434> ; # Tools and mathematics : instruments for learning
    .

<http://worldcat.org/isbn/9783319023960>
    a schema:ProductModel ;
    schema:isbn "3319023969" ;
    schema:isbn "9783319023960" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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