99 Variations on a Proof

Ording, Philip

doi:10.2307/j.ctvc77m52

Cited by 4 publications

(12 citation statements)

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“…Perhaps, the most current translation of Exercises in Style was applied in the field of mathematics by Philip Ording in 2019 (see: Figure 19). With his work, 99 Variations on a Proof, Ording emphasizes the conceptual structure of mathematics and reveals research that questions the writing, reading, thus its form and stylistic features of mathematics (Ording, 2019). This study questions the relationship between mathematics and literature with an approach that can be performed from the reverse of OuLiPo.…”

Section: The Translations Of Exercises In Stylementioning

confidence: 97%

A Spatial Translation on the Text of Raymond Queneau s "Exercises in Style"

BİLİR>

Yildiz²

2020

ICONARP

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Purpose Founded in France in 1960, Ouvroir de Litterature Potentielle (OuLiPo-Workshop of Potential Literature), is a literary game group that conducts experiments to improve creativity in the act of writing. The discoveries and inventions of the group in literature have also created an adaptable potential for non-literary fields. In this study, the work of Raymond Queneau Exercises in Style, one of the early works of OuLiPo, is translated into the medium of a different discipline. With this proposal, the study aims to make an external contribution to the creativity of disciplines which produce space. Design/Methodology/Approach The study uses an interdisciplinary approach to practice a translation process between the Oulipian literature and architecture. By exploring the possibilities of language with 99 variations of the same story, Exercises in Style establishes strong links with translation and

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Section: The Translations Of Exercises In Stylementioning

confidence: 97%

A Spatial Translation on the Text of Raymond Queneau s "Exercises in Style"

BİLİR>

Yildiz²

2020

ICONARP

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“…Our main contribution is to extend the approach to investigate potential differences between two constructs-rigour and insight. In the next section, we give an overview of the comparative judgement method, and discuss the collection of proofs that we selected for the studies, in particular we address concerns we have about the use of the proofs from (Ording, 2019). Following that, we report on two studies carried out using this method.…”

Section: Research Focusmentioning

confidence: 99%

“…The theorem chosen by Ording (2019) is consciously elementary, but as a vehicle to investigate students' conceptions of proof the collection has, in our view, a number of serious shortcomings. Most notably, for our participants the mathematics is too elementary: so elementary that one might question whether the result deserves the adjective "theorem" beyond a very formal sense.…”

Section: Collection Of Proofsmentioning

confidence: 99%

“…In more recent work, Mejía-Ramos et al (2021) investigated mathematicians' views of the explanatory value of nine proofs, taken from a collection of different proofs of the same result (Ording, 2019). They used a comparative judgement approach, where the mathematicians made a series of paired comparisons between proofs, each time choosing the one they thought "best explains why the proposition holds".…”

Section: Introductionmentioning

confidence: 99%

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Investigating insight and rigour as separate constructs in mathematical proof

Sangwin¹,

Kinnear²

2021

Preprint

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In this paper we investigate undergraduate mathematics students' conceptions of rigour and insight. We conducted comparative judgement experiments in which students were asked to judge different proofs of the same theorem with five separate criteria: rigour, insight, understanding, simplicity and assessment marks. We predicted, and our experiment found, that rigour is a reliable construct. We predicted that insight is also a reliable construct but asking students to judge on the basis of ``which proof gives you more insight into why a theorem is true'' did not result in a reliable judging scale. Our analysis suggests two distinct dimensions: rigour and marks contribute to one factor whereas simplicity and personal understanding relate to a second factor. We suggest three reasons why insight was related almost equally to both factors. First, while comparative judgement was suitable for assessing some aesthetic criteria it may not be suited to investigating students conceptions of insight. Second, students may not have developed an aesthetic sense in which they appreciate insight in ways which are regularly discussed by mathematics educators. Lastly, insight may not be a coherent and well-defined construct after all.

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“…I wonder if some are simpler than others by the various definitions of simplicity we see in this collection on Simplicity. On a related note, one of the editors of this volume, Philip Ording, has a new book entitled 99 Variations on a Proof [9].…”

Section: Reviewed By Douglas Nortonmentioning

confidence: 99%

Simplicity: Ideals of Practice in Mathematics and the Arts

Norton¹

2020

Notices Amer. Math. Soc.

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99 Variations on a Proof

Cited by 4 publications

References 0 publications

A Spatial Translation on the Text of Raymond Queneau s "Exercises in Style"

A Spatial Translation on the Text of Raymond Queneau s "Exercises in Style"

Investigating insight and rigour as separate constructs in mathematical proof

Simplicity: Ideals of Practice in Mathematics and the Arts

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