Textbooks revealing the development of a concept—the case of the number line in the analytic geometry (1708–1829) (original) (raw)

Number line in the history and the education of mathematics

ΑΝΑΣΤΑΣΙΟΣ ΓΚΟΛΦΟΣ

2020

View PDFchevron_right

On the history of number line

Galina Sinkevich

View PDFchevron_right

Historical objections against the number line

Albrecht Heeffer

Science and Education, 2011

View PDFchevron_right

Negative numbers in the 18th and 19th centuries: phenomenology and representations Negative numbers in the 18th and 19th centuries: phenomenology and representations History of Mathematics and Mathematics Education

Alexander Maz-Machado

2020

View PDFchevron_right

''The contribution of the publication of 2 manuscripts of the 15th and the 18th century to the science of the History of Mathematics''. Review of the National Center for Digitization, Issue 45 (2024) pp. 12- 26, University of Belgrade, Faculty of Mathematics.

Maria Chalkou, State High School Advisor, PhD with "Summa cum Laude" (NKUA), MSc mathematician, editor of Codex Vindobonensis phil. Gr. 65, 15th cent. ff.(11r-126r)-2006, and Codex 72 of the Library of Dimitsana, 18th cent.-2009

University of Belgrade, Dept. of Matematics, 2024

View PDFchevron_right

Introduction - The algebrization of mathematics during the 17th and 18th centuries

Davide Crippa

The algebrization of mathematics during the 17th and 18th centuries , 2023

View PDFchevron_right

Review††Edited by Adrian Rice and Antoni MaletAll books, monographs, journal articles, and other publications (including films and other multisensory materials) relating to the history of mathematics are abstracted in the Abstracts Department. The Reviews Department prints extended reviews of sel...

Philip Beeley

Historia Mathematica, 2009

View PDFchevron_right

Review of: Historiography of Mathematics in the 19th and 20th Centuries, eds V. Remmert, M. Schneider and H. Sorensen, Birkhauser and Springer (2016), in the British Journal for the History of Science 51 (1) 2018, 165-167.

Michalis Sialaros

View PDFchevron_right

Pelczer, I., Singer, F. M., Voica, C. (2011). Between algebra and geometry: the dual nature of the number line, In T. Rowland & E. Swoboda (Eds.) Proceedings of the 7th Conference of the European Society for Research in Math Education (CERME 7), p. 376-385. University of Rzeszów, Poland.

Florence Mihaela Singer

View PDFchevron_right

Between Algebra and Geometry: The Dual Nature of the Number Line

Ildiko Pelczer

2007

View PDFchevron_right

Representations in the Sixteenth-Century Arithmetic Books

Alexander Maz-Machado

Universal Journal of Educational Research, 2015

View PDFchevron_right

Reading Mathematics in Early Modern Europe: Studies in the Production, Collection, and Use of Mathematical Books

Philippe Bernhard Schmid

British Journal for the History of Mathematics, 2023

View PDFchevron_right

A History of Mathematics viny

Hadi Nurdiansyah

View PDFchevron_right

The history of mathematics: a source-based approach volume 1

Calvin Jongsma

British Journal for the History of Mathematics, 2020

View PDFchevron_right

The origin of number and the origin of geometry: issues raised and conceptions assumed by Edmund Husserl

Maria Aparecida Viggiani Bicudo

Revista Pesquisa Qualitativa, 2020

View PDFchevron_right

The spatial intuition of number and the number line

Athanassios Raftopoulos

View PDFchevron_right

The Development of Mathematics in Medieval Europe: The Arabs, Euclid, Regiomontanus

Jens Hoyrup

Aestimatio: Critical Reviews in the History of Science, 2015

View PDFchevron_right

"Grid Space in Boethius's De Arithmetica." In Diagram as Paradigm: Cross-Cultural Approaches, edited by Jeffrey F. Hamburger, David J. Roxburgh, and Linda Safran, 389–418. Washington, DC: Dumbarton Oaks, 2022.

Megan C McNamee

View PDFchevron_right

The Rise of "the Mathematicals": Placing Maths into the Hands of Practitioners -- The Invention and Popularization of Sectors and Scales

Joel S Silverberg

Proceedings of the Canadian Society for the History and Philosophy of Mathematics, 2015

View PDFchevron_right

The Roles of Geometry and Arithmetic in the Development of Algebra: Historical Remarks from a Didactic Perspective

Luis Radford

Approaches to Algebra, 1996

View PDFchevron_right

The six books of Diophantus’ Arithmetic increased and reduced to specious: the lost manuscript of Jacques Ozanam (1640–1718)

M. Rosa Massa-Esteve

Archive for History of Exact Sciences, 2021

View PDFchevron_right

041516494X Routledge Ancient Mathematics Sep 2001

Anastacia Zhukova

View PDFchevron_right

Old Arithmetic Books: Mathematics in Spain in the First Half of the Sixteenth Century

Alexander Maz-Machado

International Electronic Journal of Mathematics Education

View PDFchevron_right

The uses and abuses of mathematics in early modern philosophy: introduction

Eric Schliesser

Synthese

View PDFchevron_right

The roles of Geometry and Arithmetic in the Development of Elementary Algebra: Historical Remarks from a Didactic Perspective

Luis Radford

In N. Bednarz, C. Kieran, L. Lee (Ed.), Approaches to Algebra: perspectives for research and teaching, (39-53). Dordrecht, The Netherlands: Kluwer Academic Publishers., 1996

View PDFchevron_right

Philosophical Way to God’s Wisdom: Arithmetic and the Definitions of a Number in Early Medieval Texts

Marek Otisk

ARCHIWUM HISTORII FILOZOFII I MYŚLI SPOŁECZNEJ • ARCHIVE OF THE HISTORY OF PHILOSOPHY AND SOCIAL THOUGHT, 2017

View PDFchevron_right

“The Hidden Analysis”: On the Spread of the Analytic Method in Greek Geometry, British Society for the History of Mathematics, The Queen's College, Oxford, February 29th, 2020.

gianluca longa

View PDFchevron_right

Renaissance notions of number and magnitude

Antoni Malet

Historia Mathematica, 2006

View PDFchevron_right

Mathematics and Music in Context: The Contribution of Erasmus Horicius to the Emergence of the Idea of Modern Number

Oscar Joao Abdounur

International Journal of Mathematical, Engineering and Management Sciences, 2016

View PDFchevron_right

The History of Mathematics: A Source-Based Approach, Volume 1 (Book Review)

Calvin Jongsma

2019

View PDFchevron_right

Historical Changes in the Concepts of Number, Mathematics and Number Theory

Nicky Gregory

View PDFchevron_right

Синкевич Г.И. Ранний этап развития historia matheseos. Историография истории математики // История науки и техники, 2017 г. №1. С. 3-17.

Galina Sinkevich

View PDFchevron_right

II International Colloquium on the History and Philosophy of Mathematics: December 10–13, 1990

Alejandro Garciadiego

Historia Mathematica, 1992

View PDFchevron_right

Geometrical and Arithmetical Methods in Early Medieval Perspective

Dominique Raynaud

Physis. Rivista internazionale di storia della scienza 45 (2008), 29-55, 2008

View PDFchevron_right

Towards a history of the geometric foundations of mathematics

Rossana Tazzioli

Revue de Synthèse, 2003

View PDFchevron_right