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Research papers

Paradoxes as a window to infinity

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Pages 167-182 | Published online: 13 Aug 2008

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (6)

Özkan Ergene & Büşra Çaylan Ergene. (2023) Posing problems and solving self-generated problems: the case of convergence and divergence of series. International Journal of Mathematical Education in Science and Technology 0:0, pages 1-28.
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Lina Medina Ibarra, Avenilde Romo-Vázquez & Mario Sánchez Aguilar. (2019) Using the work of Jorge Luis Borges to identify and confront students’ misconceptions about infinity. Journal of Mathematics and the Arts 13:1-2, pages 48-59.
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Lawrence M. Lesser. (2014) Mathematical lyrics: noteworthy endeavours in education. Journal of Mathematics and the Arts 8:1-2, pages 46-53.
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Chanakya Wijeratne, Ami Mamolo & Rina Zazkis. (2014) Hilbert's Grand Hotel with a series twist. International Journal of Mathematical Education in Science and Technology 45:6, pages 904-911.
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Ami Mamolo. (2014) How to Act? A Question of Encapsulating Infinity. Canadian Journal of Science, Mathematics and Technology Education 14:1, pages 1-22.
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Ami Mamolo & Tristram Bogart. (2011) Riffs on the infinite ping-pong ball conundrum. International Journal of Mathematical Education in Science and Technology 42:5, pages 615-623.
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Articles from other publishers (19)

L. Nasr. (2023) Students’ resolutions of some paradoxes of infinity in the lens of the grossone methodology. Informatics and education 38:1, pages 83-91.
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Ali Barahmand. (2023) Construction of the final results of infinite iterative processes in individuals’ mind in a geometrical context. Teaching Mathematics and its Applications: An International Journal of the IMA 42:1, pages 65-85.
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Einat Heyd-Metzuyanim & Jason Cooper. (2022) When the Problem Seems Answerable yet the Solution is Unavailable: Affective Reactions Around an Impasse in Mathematical Discourse. International Journal of Research in Undergraduate Mathematics Education.
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Chanakya Wijeratne & Rina Zazkis. (2021) On the classic paradox of infinity and a related function. Teaching Mathematics and its Applications: An International Journal of the IMA 40:3, pages 167-181.
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Chris Rasmussen, Naneh Apkarian, Michal Tabach & Tommy Dreyfus. (2020) Ways in which engaging with someone else’s reasoning is productive. The Journal of Mathematical Behavior 58, pages 100742.
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Roberto De Luca, Marco Di Mauro, Adele Naddeo, Pasquale Onorato & Tommaso Rosi. (2020) Achilles overtakes the turtle: experiments and theory addressing students’ difficulties with infinite processes. Physics Education 55:3, pages 035010.
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Naneh Apkarian, Michal Tabach, Tommy Dreyfus & Chris Rasmussen. (2019) The Sierpinski smoothie: blending area and perimeter. Educational Studies in Mathematics 101:1, pages 19-34.
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Ozan PALA & Serkan NARLI. (2018) Matematik Öğretmen Adaylarının Sayılabilirlik Kavramına Yönelik İspat Şemalarının İncelenmesiExamining Proof Schemes of Prospective Mathematics Teachers Towards Countability Concept. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi 12:2, pages 136-166.
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Rina Zazkis & Boris Koichu. 2018. Scripting Approaches in Mathematics Education. Scripting Approaches in Mathematics Education 365 387 .
Miguel Montes & José Carrillo. (2017) Conocimiento Especializado del Profesor de Matemáticas acerca del Infinito. Bolema: Boletim de Educação Matemática 31:57, pages 114-134.
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Ali Barahmand. (2015) The Boundary Between Finite and Infinite States Through the Concept of Limits of Sequences. International Journal of Science and Mathematics Education 15:3, pages 569-585.
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Chanakya Wijeratne & Rina Zazkis. (2016) Exploring conceptions of infinity via super-tasks: A case of Thomson’s Lamp and Green Alien. The Journal of Mathematical Behavior 42, pages 127-134.
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Rina Zazkis & Ami Mamolo. 2016. The Second Handbook of Research on the Psychology of Mathematics Education. The Second Handbook of Research on the Psychology of Mathematics Education 39 71 .
Fernando Hitt & Alejandro S. González-Martín. 2016. The Second Handbook of Research on the Psychology of Mathematics Education. The Second Handbook of Research on the Psychology of Mathematics Education 3 38 .
Chanakya Wijeratne & Rina Zazkis. (2015) On Painter’s Paradox: Contextual and Mathematical Approaches to Infinity. International Journal of Research in Undergraduate Mathematics Education 1:2, pages 163-186.
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Ami Mamolo & Rina Zazkis. 2014. Probabilistic Thinking. Probabilistic Thinking 641 656 .
Andreas Marx. (2012) Schülervorstellungen zu unendlichen Prozessen – Die metaphorische Deutung des Grenzwerts als Ergebnis eines unendlichen ProzessesStudent Concepts of Infinity Processes—The Metaphorical Interpretation of the Limit as a Result for an Infinit Process. Journal für Mathematik-Didaktik 34:1, pages 73-97.
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Iuliana Radu & Keith Weber. (2011) Refinements in mathematics undergraduate students’ reasoning on completed infinite iterative processes. Educational Studies in Mathematics 78:2, pages 165-180.
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Robert Ely. (2011) Envisioning the infinite by projecting finite properties. The Journal of Mathematical Behavior 30:1, pages 1-18.
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