Analysing historical mathematics textbooks / Gert Schubring.

Format:

Book

Author/Creator:

Schubring, Gert, author.

Contributor:

ProQuest ebook central

Series:

International studies in the history of mathematics and its teaching.

International studies in the history of mathematics and its teaching

Language:

English

Subjects (All):

Mathematics--Textbooks--History.

Mathematics.

Mathematics--Study and teaching--History.

Physical Description:

1 online resource (xi, 208 pages) : illustrations (some color).

Place of Publication:

Cham : Springer, [2022]

Contents:

Intro

Preface

Contents

Chapter 1: Why Study Historical Books Intended for Teaching?

1.1 Textbooks as Interface

1.2 Social History

1.3 Methods for Textbook Analysis

1.3.1 What Is Meant by 'Context'?

1.3.2 Hermeneutics

1.3.2.1 The Development of Hermeneutics

1.3.2.2 A Subjectivist Variant: Dilthey, Heidegger, Gadamer

1.3.2.3 Questioning this Variant in Science

1.3.2.4 Material or Objective Hermeneutics

1.3.2.5 A Brazilian Blossom

1.4 Main Dimensions of Textbook Analysis

1.4.1 Institution as Co-author

1.4.2 Textbook Knowledge as Common Property

Chapter 2: Textbooks Before the Invention of the Printing Press: Orality and Teaching

2.1 The Poles of Orality and Writing

2.2 Mesopotamia

2.3 Egypt

2.4 China

2.5 Greece and Hellenism

2.6 India

2.7 Islamic Cultures

2.8 European Middle Ages

Chapter 3: Textbooks in the Era of the Printing Press: The Emergence of Modern Textbooks

3.1 Conflicts in Introducing the Printing Press

3.2 The First Printed Mathematics Books: For Commercial Context

3.3 First Printed Versions of Euclid's Elements

3.4 Printing Diagrams

Chapter 4: Differentiation of Textbook Development During Pre-modern Times

4.1 Textbooks for New Publics and for New Areas

4.2 The Growth of Algebra Textbooks

4.3 General Textbooks for Mathematics

4.3.1 The Controversy Between Amauld and Prestet on Negative Quantities

4.3.2 From the Seventeenth to the Eighteenth Century in France

4.4 The Sonderweg in France

4.5 New Areas in Mathematics and Their Textbooks: Analytic Geometry and Differential and Integral Calculus

4.6 Summarising the Stratification of Textbook Publics in Pre-modern Times

Chapter 5: Elements: Elementarisation- Structure of the Discipline

5.1 D'Alembert's Concept of Élémens

5.2 How Textbooks Came into Being

5.3 Composition of Textbooks

5.4 Textbook Methodology

5.5 How to Use Good Elements in Studying

Chapter 6: The Period of the French Revolution

6.1 The Excessive Enthusiasm for Livres Élémentaires

6.2 The Concours for livres élémentaires

6.3 Results and Effects of the concours

6.4 French State Policy for livres classiques

Untitled

Chapter 7: Lacroix as an Entrepreneur: His Struggle for the Textbook Market

7.1 The Monopoly of Lacroix's Cours

7.2 Lacroix: A Textbook Author at the Level of the Inventors

7.3 The "Common" Knowledge

7.4 The Quarrel with Legendre About the Market

7.5 The Cultural and Epistemological Pressures: The Case of Algebra

7.6 Methodological Comments

7.7 Translations of Lacroix's Cours

Chapter 8: Textbook Versus the Autonomy of the Teacher: The Prussian Case

8.1 Independence of the Teachers

8.2 The Local Production of Schoolbooks

8.3 Crelle's Misunderstanding

8.4 Differentiation of the Schoolbook as a Kind of Publication

Notes:

Includes bibliographical references and index.

Electronic reproduction. Ann Arbor, MI Available via World Wide Web.

Online resource; title from PDF title page (SpringerLink, viewed January 13, 2023).

ISBN:

9783031176708

3031176707

Publisher Number:

99992942074

Access Restriction:

Restricted for use by site license.