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Apodictic discourse and the Cauchy-Bunyakovsky-Schwarz inequality ; Discours apodictique et inégalité de Cauchy-Bunyakovsky-Schwarz
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In: ISSN: 0970-0307 ; Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics ; https://hal.archives-ouvertes.fr/hal-03643571 ; Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics, Prints Publications Pvt., In press (2022)
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Semiotic analysis of the scientific measurement of a quantity ; Analyse sémiotique de la mesure scientifique d'une grandeur
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In: La Sémiotique et ses horizons ; https://hal.archives-ouvertes.fr/hal-03556362 ; La Sémiotique et ses horizons, 2022 (2022)
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Abstract:
International audience ; The article presents a semiotic analysis of the measurement of the obliquity of the ecliptic, a fundamental measurement that is simple enough to be analyzed in its entirety and rich enough to have a general scope. He shows that the realization of such a measurement requires on the one hand juxtapositions, which imply taking into account the materiality of the mathematical expressions, and on the other hand interpretations, constitutive of the objectivity of the measurement but which can also be replaced by others or ignored. The possibility of ignoring these interpretations is a condition of both the use of science and its cumulative progress, ignorance being thus recognized as an essential spring of the diffusion and development of scientific knowledge. ; L'article présente une analyse sémiotique de la mesure de l’obliquité de l’écliptique, mesure fondamentale et suffisamment simple pour qu'une analyse complète puisse en être faite et assez riche pour avoir une portée générale. Il montre que la réalisation d'une telle mesure nécessite d'une part des juxtapositions, qui impliquent la prise en compte de la matérialité des expressions mathématiques, et d'autre part des interprétations, constitutives de l'objectivité de la mesure mais qui peuvent aussi être remplacées par d'autres ou ignorées. La possibilité d'ignorer ces interprétations est une condition aussi bien de l'usage des sciences que de leur progrès cumulatif, l'ignorance étant ainsi reconnue comme un ressort essentiel de la diffusion et du développement de la connaissance scientifique.
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Keyword:
[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]; [SHS.HISPHILSO]Humanities and Social Sciences/History; [SHS.LANGUE]Humanities and Social Sciences/Linguistics; Philosophy and Sociology of Sciences
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URL: https://hal.archives-ouvertes.fr/hal-03556362
https://hal.archives-ouvertes.fr/hal-03556362/file/Mesure_obliquit%C3%A9.pdf
https://hal.archives-ouvertes.fr/hal-03556362/document
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Plurilinguisme et enseignement des mathématiques ; Plurilinguisme et enseignement des mathématiques: Mise en perspectives des Journées Plurimaths 2020
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In: https://hal.archives-ouvertes.fr/hal-03553842 ; Éditions Lambert-Lucas, 2022 (2022)
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Understanding Teachers’ Professional Development Through their Interactions with Resources: a Multilingual Project
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In: Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education ; https://hal.archives-ouvertes.fr/hal-03090727 ; Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, PME-NA, Jun 2021, Mazatlan, Mexico. pp.143-154, ⟨10.51272/pmena.42.2020-8⟩ ; https:/doi.org/10.51272/pmena.42.20 (2021)
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A workshop on the epistemology and didactics of mathematical structuralism
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In: Advances in the Anthropological Theory of the Didactic and their Consequences in Curricula and in Teacher Education ; https://hal.archives-ouvertes.fr/hal-03275633 ; Yves Chevallard; Berta Barquero Farràs; Marianna Bosch; Ignasi Florensa; Josep Gascón; Pedro Nicolás; Noemí Ruiz-Munzón. Advances in the Anthropological Theory of the Didactic and their Consequences in Curricula and in Teacher Education, Springer Nature Switzerland AG, 2021 (2021)
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Apodictic discourse in ancient and modern Mathematics ; Le discours apodictique dans les mathématiques anciennes et modernes
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In: International Workshop “Srinivasa Ramanujan: The Man Beyond Infinity” ; https://hal.archives-ouvertes.fr/hal-03088818 ; International Workshop “Srinivasa Ramanujan: The Man Beyond Infinity”, Dec 2020, Dharamshala, India (2020)
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Mathematical works of Vladimir A. Uspensky: a commentary (Enlgish and Russian texts) ; Математические работы Владимира Андреевича Успенского: комментарии (английский и русский текст)
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In: Vladimir A. Uspensky. Non-mathematical works collection (Russian version) ; https://hal-lirmm.ccsd.cnrs.fr/lirmm-03059688 ; Vladimir A. Uspensky. Non-mathematical works collection (Russian version), 2020, 978-5-94282-675-8 (2020)
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The documentational approach to didactics
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In: The Documentational Approach to Didactics Multilingual project ; https://hal.archives-ouvertes.fr/hal-02494035 ; The Documentational Approach to Didactics Multilingual project, 2020, DAD-MULTILINGUAL/, ⟨10.1007/978-3-319-77487-9_100011-1⟩ (2020)
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The documentational approach to didactics ; L'approche documentaire du didactique
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02512596 ; DAD-Multilingual, 2020 (2020)
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The documentational approach to didactics ; Документальний підхід до дидактики
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02905655 ; DAD-Multilingual, 2020 (2020)
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The documentational approach to didactics ; 文献纪录教学论
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02891008 ; DAD-Multilingual, 2020, ⟨10.1007/978-3-319-77487-9_100011-1⟩ (2020)
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The documentational approach to didactics ; L'approccio documentale alla didattica
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02896989 ; DAD-Multilingual, 2020 (2020)
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The documentational approach to didactics ; גישת לדידקטיקה התיעוד
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02925177 ; DAD-Multilingual, 2020 (2020)
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The documentational approach to didactics ; Dokumenteringstilnærmingen til didaktikk
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02908383 ; DAD-Multilingual, 2020 (2020)
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El enfoque documental de lo didáctico
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02557744 ; DAD-Multilingual, 2020 (2020)
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Θεωρία διδακτικής τεκµηρίωσης ; The documentational approach to didactics
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02941052 ; DAD-Multilingual, 2020 (2020)
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The documentational approach to didactics ; A dokumentum-fejlesztés didaktikai elmélete
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02907944 ; DAD-Multilingual, 2020 (2020)
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Der dokumentarische Ansatz zur Didaktik ; The documentational approach to didactics
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02962875 ; DAD-Multilingual, 2020 (2020)
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The documentational approach to didactics ; 教授文書活動研究法
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02870657 ; DAD-Multilingual, 2020 (2020)
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The documentational approach to didactics ; Didaktiğe Dokümantal Yaklaşım
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In: DAD-Multilingual ; https://hal.archives-ouvertes.fr/hal-02725882 ; DAD-Multilingual, 2020, ⟨10.1007/978-3-319-77487-9_100011-⟩ (2020)
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