[size=150][justify][size=200][color=#980000]Un comentario histórico:[/color][/size][br][br]El proceso que vamos a estudiar viene de necesidades prácticas bien concretas. Desde la antigüedad, por la forma de producir (principalmente en sociedades bajo la organización tributaria de la producción), el control de la repartición de la tierra cultivable condicionaba toda la organización y subdivisión social del trabajo. Era fundamental saber calcular áreas, y no sólo áreas en un sentido sencillo, si es que estamos pensando en las figuras básicas que conocemos, por el contrario, poco a poco el ingenio se fue ocupando de problemas cada vez más complejos y desafiantes, planteándose cuestiones que desafiaban el conocimiento de la época.[br][br]Justamente, al tratar de ir más allá en la complejidad del cálculo geométrico (aún el recurso simbólico tardaría en aparecer, y de forma gradual y la geometría aún era una disciplina práctica (Kline, 1972)), las condiciones extremas de ciertos problemas (comúnmente cuando había que aproximarse lo más posible a un valor exacto), hicieron necesario calcular tangentes, así, el cálculo de áreas y tangentes se puso a la cabeza del interés y necesidad de la técnica geométrica temprana. Sin embargo, el esfuerzo tendría sus limitaciones, justamente por una característica de la investigación geométrica antigua: aborrecía el infinito, fantasma que aparecía de vez en cuando.[br][br]Este origen histórico hace que el cálculo integral sea incluso, anterior que el cálculo diferencial (Hairer & Wanner, 2008). El gran salto vendrá a darse cuando, a partir del siglo XVII de nuestra era, el problema cambia de forma, no por un cambio de intención, sino por la entrada en juego de intuiciones y conceptos más elaborados; con la entrada del concepto de función y todo el aparataje del álgebra y la geometría analítica, como podemos ver en la figura que mostramos aquí abajo, donde Newton, coincidiendo con las intuiciones de Leibniz, se plantea áreas limitadas por funciones. El problema de área de una figura, pasará a ser entonces el del área bajo una curva. En este contexto, el infinito empezará a entrar en el ámbito de certeza de la ciencia; preparándose el terreno para el desarrollo de la herramienta más poderosa de la matemática moderna: el cálculo diferencial e integral.[br][br] 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[/img][br] Dibujo realizado por Newton. [br] (Hairer & Wanner, 2008, p. 107)[br][br][br]Es así como nuestro primer desafío se va a relacionar con la solución histórica de este problema, pero desde el planteamiento como lo retoma la matemática del siglo XVII: calcular el área bajo una función continua y acotada, mediante la superposición de rectángulos regulares que van haciéndose, cada vez y cada vez más pequeños... [br][br][br][/justify][color=#0000ff]- Kline, M. (1972). [i]Mathemathical Thought from Ancient to Modern Times[/i] (Vol. I). Oxford: Oxford[br] University Press.[br]- Hairer, E., & Wanner, G. (2008). [i]Analysis by its History.[/i] New York: Springer.[br][/color][/size]
[size=200][color=#980000]¿Cómo abordar este problema desde una perspectiva dinámica?[/color][/size][br][br]
[size=85][size=100][size=150]La perspectiva de la matemática dinámica es muy poderosa. Podemos, tanto en el tema que nos convoca como en cualquier otro, visualizar y anticipar, no sólo la esperada conclusión de como las áreas de los rectángulos, a medida que tomamos subdivisiones más pequeñas se ajustan a la verdadera medida del área; sino también aspectos de este planteamiento (el applet se refiere a la solución dada por Riemann) que pueden extenderse a cualquier otra función; es decir, la perspectiva dinámica nos permite anticipar resultados de carácter universal. Veamos ahora más de cerca al recurso:[br][br]El applet que les preparé, tiene las siguientes características:[br][br]1. Se muestra en la pantalla principal a una curva, en el primer cuadrante del plano cartesiano, y un [color=#ff7700]área de color anaranjado, limitada en el eje de las abscisas, entre 0 y 11[/color][color=#444444].[/color][/size][br][/size][/size][br][img]data:image/png;base64,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[/img][br][br][size=150]2. Sobre la curva hay [b]cuatro cruces[/b], las cuales actúan como puntos móviles para dar a la silueta de la curva, y del área, varias formas.[br][br]3. Además de las cruces, hay unos pequeños [color=#274e13][b]círculos de color verde[/b][/color], que servirán para señalar la subdivisión regular del eje de abscisas y donde serán construidos los rectángulos.[br][br]4. A la derecha de la imagen central, aparece la correspondiente medida de área de la región anaranjada:[/size][br] [br] [img]data:image/png;base64,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[/img][br][br][justify][/justify][size=150][justify]5. Hay una casilla en la pantalla gráfica inferior, donde puede ingresarse el número de subdivisiones del intervalo cerrado entre 0 y 11. Si colocas un número pequeño, entonces el intervalo entre 0 y 11 del eje de abscisas quedará dividido en menos intervalos y cabrán menos rectángulos. La aproximación de las áreas será entonces, menos ajustada a la verdadera.[br][br]6. A la derecha hay dos casillas de control, una, para visualizar a los rectángulos del cubrimiento hecho a partir de los valores inferiores de los intervalos (y el total de la suma de sus áreas), otra para el cubrimiento realizado con rectángulos construidos sobre los valores mayores.[/justify][/size]
[size=200][color=#980000]¡Ahora, a meterse un poco con el applet, ponlo a prueba, identifica sus límites y posibilidades![/color][/size]
[size=200][color=#980000]El desafío que te planteamos:[/color][/size][br][br][size=150]Debes hacer lo siguiente, vamos a considerar tres dimensiones del problema:[/size][br]
[size=150][b][color=#0000ff]Con respecto al lugar didáctico del applet[/color][/b]. ¿En qué situación te imaginas que el applet presentado podría estar? Es decir, ¿en qué entorno problemático para tus estudiantes situarías este applet?[br][/size]
[size=150][color=#0000ff][b]Con respecto al diseño del applet[/b][/color]. Seguramente la pregunta anterior puso en evidencia algunas información que el applet no muestra (o algunas que ocultarías), al respecto te pregunto: ¿Qué modificarías del applet? [/size]
[size=150][color=#0000ff][b]Respecto al saber vinculado al applet[/b][/color]. Te hago tres preguntas que surgen de la manipulación del applet:[br][br] a. ¿Qué perfil de la curva (recuerda que puedes modificarla usando las cruces sobre la[br] línea) daría un área posible de calcular con el mínimo de rectángulos?[br][br] b. Explora y concluye sobre las diferencias de aproximación entre 1) una curva [br] monótona creciente, 2) una monótona decreciente, 3) una curva que no es ni 1) ni[br] 2).[br][br] c. ¿Qué variantes de los perfiles hayas interesantes? ¿Por qué?[br][/size]