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Samuel Pepys, Isaac Newton, James Hodgson, and the Beginnings of Secondary School Mathematics

A History of the Royal Mathematical School Within Christ’s Hospital, London 1673–1868

  • Nerida F. Ellerton
  • M. A. (Ken) Clements

Part of the History of Mathematics Education book series (HME)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 1-12
  3. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 13-23
  4. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 25-60
  5. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 61-88
  6. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 89-120
  7. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 121-144
  8. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 145-164
  9. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 165-191
  10. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 193-210
  11. Nerida F. Ellerton, M. A. (Ken) Clements
    Pages 211-231
  12. Back Matter
    Pages 233-325

About this book

Introduction

This book tells one of the greatest stories in the history of school mathematics. Two of the names in the title—Samuel Pepys and Isaac Newton—need no introduction, and this book draws attention to their special contributions to the history of school mathematics. According to Ellerton and Clements, during the last quarter of the seventeenth century Pepys and Newton were key players in defining what school mathematics beyond arithmetic and elementary geometry might look like. The scene at which most of the action occurred was Christ’s Hospital, which was a school, ostensibly for the poor, in central London. The Royal Mathematical School (RMS) was established at Christ’s Hospital in 1673.

It was the less well-known James Hodgson, a fine mathematician and RMS master between 1709 and 1755, who demonstrated that topics such as logarithms, plane and spherical trigonometry, and the application of these to navigation, might systematically and successfully be taught to 12- to 16-year-old school children. From a wider history-of-school-education perspective, this book tells how the world’s first secondary-school mathematics program was created and how, slowly but surely, what was being achieved at RMS began to influence school mathematics in other parts of Great Britain, Europe, and America.

The book has been written from the perspective of the history of school mathematics. Ellerton and Clements’s analyses of pertinent literature and of archival data, and their interpretations of those analyses, have led them to conclude that RMS was the first major school in the world to teach mathematics-beyond-arithmetic, on a systematic basis, to students aged between 12 and 16.

Throughout the book, Ellerton and Clements examine issues through the lens of a lag-time theoretical perspective. From a historiographical perspective, this book emphasizes how the history of RMS can be portrayed in very different ways, depending on the vantage point from which the history is written. The authors write from the vantage point of international developments in school mathematics education and, therefore, their history of RMS differs from all other histories of RMS, most of which were written from the perspective of the history of Christ’s Hospital. 

Keywords

Mathematics education History of Mathematics Education History of mathematical sciences History of science Secondary school mathematics Isaac Newton Samuel Pepys James Hodgson Royal Mathematical School

Authors and affiliations

  • Nerida F. Ellerton
    • 1
  • M. A. (Ken) Clements
    • 2
  1. 1.Department of MathematicsIllinois State UniversityNormalUSA
  2. 2.Department of MathematicsIllinois State UniversityNormalUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-46657-6
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Education
  • Print ISBN 978-3-319-46656-9
  • Online ISBN 978-3-319-46657-6
  • Series Print ISSN 2509-9736
  • Series Online ISSN 2509-9744
  • Buy this book on publisher's site