View in EDS PDF Full Text

Teaching the Quadrivium : A Guide for Instructors

Saved in:
Bibliographic Details
Title: Teaching the Quadrivium : A Guide for Instructors
Description: Reviving an educational tradition involves a double task. A new generation of students must be taught, and at the same time the teachers themselves must learn. This book addresses the teachers who seek to hand on the quadrivium-the four mathematical liberal arts of arithmetic, geometry, music, and astronomy-at the same time as they acquire it. Two components run in parallel throughout the book. The first component is practical. Weekly overviews and daily lesson plans explain how to complete the study of A Brief Quadrivium in the course of a single school year, and suggestions for weekly assessments make it easy to plan tests and monitor student progress. The second component is directed to the continuing education of the teacher. Short essays explore the history, philosophy, and practice of mathematics. The themes of these essays are coordinated with the simultaneous mathematical work being done by students, allowing the teacher to instruct more reflectively. Some users of this book are confident in their grasp of mathematics and natural science. For them, the essays will clarify the unity of mathematical activity over time and reveal the old roots of new developments. Other users of this book, including some parents who school their children at home, find mathematics intimidating. The clear structure of the lesson plans, and the support of the companion essays, give them the confidence to lead students through a demanding but doable course of study. The British mathematician John Edensor Littlewood remarked that one finds in the ancient mathematicians not “clever schoolboys” but rather “Fellows of another College.” This guide invites all teachers of the quadrivium to join the enduring mathematical culture of Littlewood and his predecessors, and to witness for themselves the significance and vitality of a tradition as old as Pythagoras.
Authors: Peter Ulrickson
Resource Type: eBook.
Subjects: Geometry, Plane, Number theory, Music theory, Cosmology
Categories: MATHEMATICS / History & Philosophy, EDUCATION / Teaching / Subjects / Mathematics, MATHEMATICS / Study & Teaching
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 3596828
RelevancyScore: 1116
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1116.28857421875
IllustrationInfo
ImageInfo – Size: thumb
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$3596828$PDF&s=r
– Size: medium
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$3596828$PDF&s=d
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Teaching the Quadrivium : A Guide for Instructors
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Reviving an educational tradition involves a double task. A new generation of students must be taught, and at the same time the teachers themselves must learn. This book addresses the teachers who seek to hand on the quadrivium-the four mathematical liberal arts of arithmetic, geometry, music, and astronomy-at the same time as they acquire it. Two components run in parallel throughout the book. The first component is practical. Weekly overviews and daily lesson plans explain how to complete the study of A Brief Quadrivium in the course of a single school year, and suggestions for weekly assessments make it easy to plan tests and monitor student progress. The second component is directed to the continuing education of the teacher. Short essays explore the history, philosophy, and practice of mathematics. The themes of these essays are coordinated with the simultaneous mathematical work being done by students, allowing the teacher to instruct more reflectively. Some users of this book are confident in their grasp of mathematics and natural science. For them, the essays will clarify the unity of mathematical activity over time and reveal the old roots of new developments. Other users of this book, including some parents who school their children at home, find mathematics intimidating. The clear structure of the lesson plans, and the support of the companion essays, give them the confidence to lead students through a demanding but doable course of study. The British mathematician John Edensor Littlewood remarked that one finds in the ancient mathematicians not “clever schoolboys” but rather “Fellows of another College.” This guide invites all teachers of the quadrivium to join the enduring mathematical culture of Littlewood and his predecessors, and to witness for themselves the significance and vitality of a tradition as old as Pythagoras.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Peter+Ulrickson%22">Peter Ulrickson</searchLink>
– Name: TypePub
  Label: Resource Type
  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Geometry%2C+Plane%22">Geometry, Plane</searchLink><br /><searchLink fieldCode="DE" term="%22Number+theory%22">Number theory</searchLink><br /><searchLink fieldCode="DE" term="%22Music+theory%22">Music theory</searchLink><br /><searchLink fieldCode="DE" term="%22Cosmology%22">Cosmology</searchLink>
– Name: SubjectBISAC
  Label: Categories
  Group: Su
  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+History+%26+Philosophy%22">MATHEMATICS / History & Philosophy</searchLink><br /><searchLink fieldCode="ZK" term="%22EDUCATION+%2F+Teaching+%2F+Subjects+%2F+Mathematics%22">EDUCATION / Teaching / Subjects / Mathematics</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Study+%26+Teaching%22">MATHEMATICS / Study & Teaching</searchLink>
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=3596828
RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 516
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Geometry, Plane
        Type: general
      – SubjectFull: Number theory
        Type: general
      – SubjectFull: Music theory
        Type: general
      – SubjectFull: Cosmology
        Type: general
    Titles:
      – TitleFull: Teaching the Quadrivium : A Guide for Instructors
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Peter Ulrickson
      – PersonEntity:
          Name:
            NameFull: Peter Ulrickson
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2023
            – D: 30
              M: 07
              Type: profile
              Y: 2025
          Identifiers:
            – Type: isbn-print
              Value: 9781949822342
            – Type: isbn-electronic
              Value: 9781949822359
          Titles:
            – TitleFull: Teaching the Quadrivium : A Guide for Instructors
              Type: main
ResultId 1