untitled
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<identifier>oai:HAL:hal-00318449v2</identifier>
<datestamp>2017-12-21</datestamp>
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<setSpec>subject:math</setSpec>
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<setSpec>collection:UNIV-AG</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=fr>Fonction constante et dérivée nulle : un résultat si trivial...</title>
<creator>Delcroix, Antoine</creator>
<creator>Silvy, Christian</creator>
<contributor>Analyse Optimisation Controle (AOC) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Centre de recherches et de ressources en éducation et formation (CRREF) ; Université des Antilles et de la Guyane (UAG)</contributor>
<identifier>hal-00318449</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00318449</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00318449v2/document</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00318449/file/CroissanceSansTAF10HALV2.pdf</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00318449</source>
<source>2008</source>
<identifier>ARXIV : 0809.0965</identifier>
<relation>info:eu-repo/semantics/altIdentifier/arxiv/0809.0965</relation>
<language>fr</language>
<subject lang=fr>Théorie anthropologique du didactique</subject>
<subject lang=fr>site mathématique</subject>
<subject lang=fr>fonction constante</subject>
<subject lang=fr>dérivée</subject>
<subject>97C50; 97D50; 97C70</subject>
<subject>[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]</subject>
<type>info:eu-repo/semantics/preprint</type>
<type>Preprints, Working Papers, ...</type>
<description lang=en>We study various proofs of the caracterization of constant functions, more precisely of the theorem: a derivable function, defined on a real interval, is constant if, and only if, its derivative is null. Our aim is to study the relationships of these proofs with the mathematical curriculum of secondary schools and the begining of undergraduate studies in France, from various point of views (epistemological, historical, didactical).</description>
<date>2008-09-03</date>
</dc>
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