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El presente trabajo tiene como objetivo lograr que nos interesemos en analizar las situaciones que se pueden plantear para nuestra tarea en el campo geométrico. Para lo cual presentamos una serie de propuestas que quizá respondan a la concepción de resolución de problemas:

  • Si tienes que embaldosar un aula y te proponen hacerlo con un tipo de mosaicos cuyas formas se indican: triángulos equiláteros - pentágonos regulares - exágonos regulares - rombos - cuadrados. ¿Cuáles no elegirías y porqué?.-

  • Juan Martín asegura tener un jardín de forma triangular y dice: “un lado del jardín mide 7 metros, otro 4 metros y del otro no me acuerdo”, ¿más de cuánto y menos de cuánto debe medir el otro lado para que Juan Martín no resulte un mentiroso?.-

  • En un reloj de agujas, entre las 11y50 y las 13y10, ¿cuántas veces sus agujas están sobre una misma recta?, ¿a qué horas, aproximadamente, ocurren?, ¿en cada caso qué ángulo forman?.-

  • Un campesino está en medio del campo, sin hilos, sin metros, sin cuerdas, solo él y un serrucho. Tiene que dividir un palo largo en cinco varillas iguales. ¿Cómo hará?. ¡Ahora me acuerdo! El campesino está junto al alambrado que he dibujado.-

  • Hay una escalera de 12 escalones, entre piso y escalón y entre escalón y escalón hay 40 cm de distancia. La escalera se apoya sobre una pared hasta alcanzar 3,60 m de ella. Un obrero se encuentra apoyado en el octavo escalón, ¿a qué altura está el obrero?.-

  • Imaginemos que en el dibujo siguiente el punto B está al doble de distancia de A que de C. Ubicar otro punto M en la misma dirección y que también esté al doble de distancia de A que de C.-
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