Divisibilidad en el anillo de polinomios.
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2021-01-13
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[ES]El presente trabajo tiene como objetivo general describir la enseñanza y el aprendizaje de la divisibilidad en polinomios en la Educación Secundaria.
Mediante una revisión bibliográfica sobre investigaciones en Didáctica de las Matemáticas, relacionadas con el tema en cuestión, se ponen de manifiesto algunas dificultades y conflictos semióticos potenciales tenidos en cuenta para nuestra propuesta didáctica. Además, se establece el significado institucional de referencia por el que consideraremos los conocimientos básicos. Se ha realizado un análisis didáctico de diferentes libros de texto de 3o de ESO. Siguiendo el marco teórico del Enfoque Ontosemiótico del Conocimiento y la Instrucción
Matemáticos en el que se han podido detectar varias carencias que se solucionarán también en la propuesta didáctica. Finalmente, teniendo en cuenta todo lo anterior, se desarrolla una unidad didáctica con la que se pretende conseguir un aprendizaje significativo y que los estudiantes puedan alcanzar los objetivos que se proponen.
[EN]The present work has the general objective of describing the teaching and learning of divisibility in polynomials in Secondary Education. Through a bibliographic review of research in Mathematics Didactics, related to the subject in question, some difficulties and potential semiotic conflicts taken into account for our didactic proposal are revealed. Furthermore, the institutional reference meaning by which we will consider basic knowledge is established. A didactic analysis of different textbooks of 3rd ESO has been carried out. Following the theoretical framework of the Ontosemiotic Approach to Mathematical knowledge and Instruction in which several deficiencies have been detected that will also be solved in the didactic proposal. Finally, taking into account all of the above, a didactic unit is developed with which it is intended to achieve meaningful learning and that students can achieve the proposed objectives.
[EN]The present work has the general objective of describing the teaching and learning of divisibility in polynomials in Secondary Education. Through a bibliographic review of research in Mathematics Didactics, related to the subject in question, some difficulties and potential semiotic conflicts taken into account for our didactic proposal are revealed. Furthermore, the institutional reference meaning by which we will consider basic knowledge is established. A didactic analysis of different textbooks of 3rd ESO has been carried out. Following the theoretical framework of the Ontosemiotic Approach to Mathematical knowledge and Instruction in which several deficiencies have been detected that will also be solved in the didactic proposal. Finally, taking into account all of the above, a didactic unit is developed with which it is intended to achieve meaningful learning and that students can achieve the proposed objectives.
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Matemáticas