Infinity as a multi-faceted concept in history and in the mathematics classroom (original) (raw)

Chasing a tortoise: The notion of infinity in mathematics throughout history

Sena Arslan

Philhist 15: Proceedings of Interactions in the History of Philosophy Conference, 2015

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Bagni, G.T. (1997). Didactics of Infinity: Euclid’s proof and Eratosthenes’ sieve. Prime numbers and potential infinity in High School. In D’Amore, B. & Gagatsis, A. (Eds.), Didactics of Mathematics–Technology in Education (pp. 209–218). Erasmus ICP–96–G–2011/11, Thessaloniki.

Giorgio T. Bagni

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INFINITY OF NUMBERS: HOW STUDENTS UNDERSTAND IT

Markku S. Hannula

2006

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Secondary teachers' conceptions of infinity in different context

Theodossios Zachariades

HAL (Le Centre pour la Communication Scientifique Directe), 2022

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INFINITY OF NUMBERS: A COMPLEX CONCEPT TO BE LEARNT?

Markku S. Hannula

pmena.org

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Teachers knowledge of infinity, and its role in classroom practice

Miguel Ángel Montes Navarro, Jose Carrillo-Yanez, José Carrillo

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Singer, F. M., Voica, C. (2009). When the infinite sets uncover structures: an analysis of students’ reasoning on infinity. In Tzekaki, M., Kaldrimidou, M. & Sakonidis, C. (eds.). In Search for Theories in Mathematics Education. Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education, vol. 5, pp. 121-128. Thessaloniki, Greece: PME.

Florence Mihaela Singer

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Exploring the relationship between tacit models and mathematical infinity through history

Tamara Díaz Chang

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A cultural overview on the concept of infinity

Paolo Di Sia

International academic semi-annual “Journal of Education, Culture and Society” - ISSN: 2081-1640, 2019

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Bagni, G.T. (2004). Exhaustion argument and limit concept in the History of Mathematics: educational reflections. In Furinghetti, F. Kaiser, S. & Vretblad, A. (Eds.), Proceedings of HPM–2004, History and Pedagogy of Mathematics, Uppsala July 12–17, 2004. 94–103.

Giorgio T. Bagni

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Infinity in History

Wolfgang Achtner

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A Brief History of Infinity

AW Moore

Scientific American, 1995

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Fichte's Concept of Mathematical Infinity in the Bestimmung des Menschen (27 April 2010, Lisbon, Portugal)

David W. Wood

27 April 2010, Universidade Nova, Lisbon, Portugal

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PART ONE Perspectives on Infinity from History

Wolfgang Achtner

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Some Historical Issues and Paradoxes Regarding the Concept of Infinity: An Apos-Based Analysis: Part 1

Ed Ed

Educational Studies in Mathematics, 2005

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Teaching and Learning Mathematical Philosophy Through Infinity

Kai Shun Lam

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The History and Evolution of the Concept of Infinity

John Batchelor

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Some historical issues and paradoxes regarding the concept of infinity: An APOS analysis: Part 2

Kirk Weller

Educational Studies in …, 2005

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The Mathematical Infinite as a Matter of Method

Akihiro Kanamori

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The TRUE Mathematics of Infinity

Leslie Green CEng MIEE

ebook, 2024

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The Mathematical Infinite as a Matter of Method(Infinity in Philosophy and Mathematics)

Akihiro Kanamori

Annals of the Japan Association for Philosophy of Science, 2012

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EXPOSED! The Bogus Mathematics of Infinity

Leslie Green CEng MIEE

Research Gate, 2024

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IS INFINITY PURELY ARITHMETICAL IN NATURE

Daniel Strauss

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Infinity: An Interdisciplinary Access Key to Philosophical Education Through Mathematics

Paolo Bussotti

2014

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Conceptualisations of infinity by primary pre-service teachers

Michael Easey

Mathematics Education Research Journal

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When the infinite sets uncover structures: an analysis of students’ reasoning on infinity

Florence Mihaela Singer

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Ways of Infinity

Jean-michel Salanskis

Studies in Logic, Grammar and Rhetoric

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Infinity Metaphors, German Idealism, and the Applicability of Mathematics

roy wagner

Iyyun 61 (2012) 129-147

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Conceptual Metaphors and Tacit Models in the Study of Mathematical Infinity

Elizabeth Hernández Arredondo, Tamara Díaz Chang

International Journal of Emerging Technologies in Learning, 2022

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Infinity – The never-ending struggle

David Tall

Educational Studies in Mathematics, 2001

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Exploring conceptions of infinity via super- tasks: A case of Thomson's Lamp and Green Alien

Chanakya Wijeratne, Rina Zazkis

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