A semiotic reflection on the didactics of the Chain rule

@article{Rodrguez2010ASR,
  title={A semiotic reflection on the didactics of the Chain rule},
  author={Omar Hern{\'a}ndez Rodr{\'i}guez and Jorge M. Lopez Fernandez},
  journal={The Mathematics Enthusiast},
  year={2010}
}
According to (Fried, 2008), there is an intrinsic tension in trying to apply the history of mathematics to its didactics. Besides the widespread feeling that the introduction of didactic elements taken from the history of mathematics can detract the pedagogy of mathematics from the attainment of important goals, (Fried, 2008, p. 193) describes a pair of specific pitfalls that can arise in implementing such historical applications in mathematics education. The description in (Fried, 2008), is… 
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References

SHOWING 1-10 OF 22 REFERENCES
The calculus : a genetic approach.
TLDR
Reissued for the first time since 1981 and updated with a new foreword, this classic text is experiencing a resurgence of interest among students and teachers of calculus today.
History of Mathematics in Mathematics Education: a Saussurean Perspective
It is not only because of a certain eclecticism in mathematics education research that semiotic ideas have begun to take root there: it is also because of the dawning recognition that key areas of
Cours de linguistique générale
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Documents à propos de l'oeuvre Cours de linguistique générale (1916) / Ferdinand de Saussure (1857-1913) . . . . . . . . . . . .
How to Solve It: A New Aspect of Mathematical Method
Are you looking to uncover how to solve it a new aspect of mathematical method Digitalbook. Correct here it is possible to locate as well as download how to solve it a new aspect of mathematical
Was Newton’s Calculus a Dead End? The Continental Influence of Maclaurin’s Treatise of Fluxions
(1997). Was Newton's Calculus a Dead End? The Continental Influence of Maclaurin's Treatise of Fluxions. The American Mathematical Monthly: Vol. 104, No. 5, pp. 393-410.
Résumé des leçons données à l'École royale polytechnique, sur le calcul infinitésimal
CALCUL DIFFERENTIAL PREMIERE LECON DES VARIABLES, DE LEURS LIMITES ET DES QUANTITES INFINIMENT PETITES On nomme quantite variable celle que l'on considere comme devant recevoir successivement
The Nature of Mathematical Knowledge.
The Early Mathematical Manuscripts Of Leibniz
Foundations of modern analysis
...
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