El Instituto Politécnico Nacional
Contribuye al desarrollo económico y social de la nación, a través de la formación integral de personas competentes; de la investigación, el desarrollo tecnológico y la innovación. Además tiene reconocimiento internacional por su calidad e impacto social.
Por favor, use este identificador para citar o enlazar este ítem:
http://repositoriodigital.ipn.mx/handle/123456789/11662| Título : | Procesos de resignificación del valor numérico de la función derivada segunda: Un estudio en el sistema escolar Uruguayo. |
| Autor : | Cantoral Uriza, Ricardo Lezama Andalón, Javier |
| Fecha de publicación : | 16-ene-2013 |
| Descripción : | The present investigation is framed in the line of investigation Thought and Variational Language. The same one was carried out in Uruguay with sixth grade students of High School and of third year of the Institute of Professors Artigas. Starting from our experience and on a analysis of the curriculum and how the mathematical concept of “derivate” is introduced in the courses and in the text books, we think that the students are guided to work with this concept, to know its definition, but only in the way that indicates the curriculum, without focusing on a teaching in the first place, in the sense of Cantoral (2000), that favors the different looks of the concept, their relationships with concepts or images of these already acquired, what would favor the formation of a strong conceptual structure. We pointed two important aspects that generated our investigation: Important type of work doesn't imply, on one hand, that the student have to use their thought and variacional language, therefore it doesn't facilitate the development of this type of fundamental thought in the understanding relational of the topic “derivate”, and on the other hand, that the student should appeal to the definitions of the involved concepts, since it can be enough to solve certain problem to consult the image associated to the concept. The numeric value of the first derivate function is meant graphically, relating it to the angular coefficient of the tangent straight line the graph in the point in question, while the numeric value of the second derivate function is not taken in account, when it is different from zero, and it is only meant graphically to its sign, relating it to the concavity of the function. At the beginning of this investigation we believed that in the structure associated to the concept “derivate” that the students had generated, they would not be present graphics meanings of the numeric value of the second derivate function. It is in this context that we thought about the following investigation questions: Which is the graphic meaning that the students give to the numeric value of the second derivate function? Which is it the role of that the definitions of the concept play, and/or the concept image, when the students face activities related the graphic meaning of the numeric value of the second derivate function? How does the Thought and Variacional Language of the students influence when facing activities focus on the graphic meaning of the numeric value of the second derivate function? Based on all the above a sequence was elaborated expecting that in the first activities it evidenced that the students don't mean graphically the numeric value of the second derivate function, but that in its development are encouraged to think about this topic the students on this topic, what would imply this that they make aware of the limitations of their conceptual structure associated to this concept (built in previous courses), and then they generated graphics meanings of the numeric value of the second derivate function. The analysis of the results has confirmed our initial thoughts and istrong facts have arisen starting from which we could respond our investigation questions building theoretical explanations of the acting of the students based on aspects of the thought and variacional language. |
| URI : | http://www.repositoriodigital.ipn.mx/handle/123456789/11662 |
| Otros identificadores : | http://hdl.handle.net/123456789/1183 |
| Aparece en las colecciones: | Doctorado |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| testa_2004.pdf | 4.44 MB | Adobe PDF | Visualizar/Abrir |
Los ítems de DSpace están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.