عنوان

Interfaces between mathematical practices and mathematical education /

شابک

303001617X

شابک

3030016188

شابک

9783030016173

شابک

9783030016180

شابک اشتباه

3030016161

شابک اشتباه

9783030016166

عنوان اصلي

Interfaces between mathematical practices and mathematical education /

نام عام مواد

[Book]

نام نخستين پديدآور

Gert Schubing, editor.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2019]

نام خاص و کميت اثر

1 online resource (201 pages)

عنوان فروست

International studies in the history of mathematics and its teaching

متن يادداشت

Includes bibliographical references and indexes.

متن يادداشت

Intro; Introduction; Contents; About the Authors; Chapter 1: Foundations of Mathematics Buried in School Garbage (Southern Mesopotamia, Early Second Millennium BCE); 1 Basic Knowledge, Fundamental Knowledge; 2 The Mathematical Curriculum in Nippur Schools; 2.1 Elementary Level; Metrological Tables; A Multiplication Table; A Table of Reciprocal (ERM 14645); 2.2 Intermediate Level; An Extraction of Reciprocals; The Calculation of the Surface of a Square; 2.3 Advanced Level; 2.4 Linear Paradigm; 3 The Role of Factorization in Calculating Reciprocals.

متن يادداشت

4 The Role of Coefficients in Problems of Volumes5 Conclusion: The Linear Paradigm and How to Get Out of It; Appendix; References; Chapter 2: From the Practice of Explanation to the Ideology of Demonstration: An Informal Essay; 1 Arguing from the Locally Obvious; 2 Critique; 3 Demonstration, Critique, and the Culture of Liberal Arts; 4 Axiomatization; 5 And Then?; References; Chapter 3: Catholicism and Mathematics in the Early Modernity; 1 The Place of Mathematics in Seventeenth Century Culture; 2 Institutional Aspects; 3 Accepting the Mysteries of Faith; 4 Against Scepticism.

متن يادداشت

5 Usefulness to Theology6 Philosophical Conceptions; 7 Conclusions; References; Chapter 4: "Je n'ai point ambitionnée d'être neuf": Modern Geometry in Early Nineteenth-Century French Textbooks; 1 Introduction; 2 Historiography of Mathematics Textbooks; 3 Finding Textbooks; 4 Claims for Novelty By Textbook Authors; 4.1 The Majority View; 4.2 Textbooks with Modern Geometry; Dupin; Garnier; Biot; Vincent; Didiez; Bergery; Terquem; 5 New Objects; 5.1 Poles and Polars; Copy and Paste; Constructive Innovations; New Applications and Properties; 5.2 Centers and Axes; Similitude Without Radicals.

متن يادداشت

Chapter 6: A Multiple Perspective Approach to History of Mathematics: Mathematical Programming and Rashevsky's Early Development of Mathematical Biology in the Twentieth Century1 Introduction; 2 A Multiple Perspectives Approach to History of Mathematics; 3 Two Episodes: Mathematical Programming and Mathematical Biology; 3.1 Mathematical Programming in the USA and the Significance of World War II; 3.2 Beginning of Mathematical Biology and Interdisciplinary Research; 3.3 The Significance of Teaching and Education; 4 Conclusion; References.

متن يادداشت

Uniting Similitude with Radicals5.3 Imaginaries; 6 Reception; 7 Conclusion; References; Chapter 5: The Impact of Teaching Mathematics Upon the Development of Mathematical Practices; 1 Introduction: Issues of Methodology; 2 Examples for Introducing the Interface Approach; 3 The Notion of Element and of Elementarisation; 4 The Impact of Teacher Education; 5 An Early Teaching of Set Theory in Germany; 6 Non-Euclidean Geometry in German Gymnasien; 6.1 About the Contents of Wagner's Schoolbook; 7 Conclusion; References; Sources; Publications.

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

This contributed volume investigates the active role of the different contexts of mathematics teaching on the evolution of the practices of mathematical concepts, with particular focus on their foundations. The book aims to deconstruct the strong and generally wide-held conviction that research in mathematics constitutes the only driving force for any progress in the development of mathematics as a field. In compelling and convincing contrast, these chapters aim to show the productive function of teaching, showcasing investigations from countries and regions throughout various eras, from Old Babylonia through the 20th Century. In so doing, they provide a critical reflection on the foundations of mathematics, as well as instigate new research questions, and explore the interfaces between teaching and research.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030016173

شماره استاندارد بين المللي کتاب و موسيقي

9783030016166

موضوع مستند نشده

Mathematics-- Study and teaching.

موضوع مستند نشده

Education.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

EDU029010

موضوع مستند نشده

JNU

موضوع مستند نشده

JNU

موضوع مستند نشده

PB

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Schubring, Gert

تاريخ عمليات

20200823073238.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y