@article {MATHEDUC.02347471,
    author       = {Boggiano, Bruna and Furinghetti, Fulvia and Somaglia, Annamaria},
    title        = {The definition of derivation in the dialectics between algebra and geometry. (La definizione di derivata nella dialettica tra ambito algebrico e ambito geometrico.)},
    year         = {2002},
    journal      = {L'Insegnamento della Matematica e delle Scienze Integrate},
    volume       = {25B},
    number       = {3},
    issn         = {1123-7570},
    pages        = {225-246},
    publisher    = {Centro Ricerche Didattiche Ugo Morin, Paderno del Grappa, Treviso},
    abstract     = {In this paper we discuss the findings of a questionnaire for students of high school focused on the concept of derivative. The items of the questionnaire are structured in such a way that students are stimulated to work both in the geometric and the algebraic domains, using symbolic and graphical representations. The findings show that the students answer in a satisfying manner when they resort to prototypes, but fail in facing new situations. Moreover, to stimulate the students to use graphics brings to light the weakness of concept images held by students, since graphics require an active and aware construction of mathematical objects. Also the students' weakness emerges in passing from a domain (algebraic or geometric) to another. We think that our findings have implications both for the teaching of derivative in classroom and for research in the field. (Authors' abstract)},
    msc2010      = {D64xx},
    identifier   = {2002e.03996},
}