The Concept of Exponential Function in the Context of Vergnaud Theory
Keywords:Conceptualization, Representational Systems, Education, School, Exponential Function
AbstractIn order to teach exponential functions as well as to study the process of conceptualization through Vergnaud Theory of Conceptual Fields, a didactic sequence was designed. The sequence was tested with four groups of students [between 15-16 years old] of a secondary school. The analysis suggested the existence of an escalation in the conceptualization of the exponential function linked to representational systems, ranging from linear schemes, to exponential. However, this escalation did not occur in all representational systems at the very same time.
Sureda & Otero, 2013. Estudio sobre el proceso de conceptualización de la función exponencial. Revista Educación Matemática. 25 (2): 89-118.
Vergnaud, G, 1990. La théorie des champs conceptuels. Recherches en Didactique des Mathématiques. 10 (23): 133-170.
Vergnaud, G, 2007 ¿En qué sentido la Teoría de los Campos Conceptuales puede ayudarnos para facilitar Aprendizaje Significativo? Investigações em Ensino de Ciências. 12 (2): 285-302.
Vergnaud, G, 2013 ¿Por qué la teoría de los campos conceptuales? Infancia y Aprendizaje. 36(2): 146-160.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).