GEOMETRÍA ANALÍTICA: VECTORES Y RECTAS.
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2021-09-29
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Jaén: Universidad de Jaén
Resumen
[ES] El presente trabajo, titulado "Geometría Analítica: vectores y rectas", se centra en la enseñanza-aprendizaje de los contenidos de geometría analítica, presentes en el currículo de Matemáticas Orientadas a las Enseñanzas Académicas de 4º de E.S.O., de acuerdo al Real Decreto 1105/2014, 26 de diciembre.
La primera parte de este trabajo se compone de las fundamentaciones curricular, epistemológica y didáctica. En la fundamentación curricular, se analiza el currículo vigente, así como tres libros de texto. En la fundamentación epistemológica, se desarrolla un tema del temario de las oposiciones para el acceso al Cuerpo de Profesores de Enseñanza Secundaria, de la especialidad de Matemáticas. Por último, en la fundamentación didáctica, se examinan varias investigaciones sobre la didáctica de la geometría.
En la segunda parte del trabajo, se desarrolla una unidad didáctica sobre geometría analítica en el plano, en la que se organizan todos los elementos que intervienen en el proceso de enseñanza-aprendizaje: objetivos, contenidos, metodología empleada, actividades y recursos y criterios e instrumentos de evaluación.
[EN] This current work, titled "Analytic Geometry: vectors and lines", focuses on the teaching-learning of analytical geometry contents, available in the Mathematics Oriented to Academic Teachings of 4th ESO curriculum, according to the RD 1105/2014, December 26. The first part of this work is composed by the curriculum foundation, the epistemological foundation and the didactic foundation. In the curricular foundation, the current curriculum is analyzed, as well as three textbooks.ln the epistemological foundation, we developed a subject of the opposition agenda far access to the Body of Teachers of Secondary Education, specializing in mathematics. Finally, in the didactic foundation, we examine several investigations on the didactics of geometry. In the second part, we developed a teaching unit on analytical geometry in the plane, in which all the elements involved in the teaching-learning process are organized: objectives, content, methodology used, activities and resources, and evaluation criteria and instruments.
[EN] This current work, titled "Analytic Geometry: vectors and lines", focuses on the teaching-learning of analytical geometry contents, available in the Mathematics Oriented to Academic Teachings of 4th ESO curriculum, according to the RD 1105/2014, December 26. The first part of this work is composed by the curriculum foundation, the epistemological foundation and the didactic foundation. In the curricular foundation, the current curriculum is analyzed, as well as three textbooks.ln the epistemological foundation, we developed a subject of the opposition agenda far access to the Body of Teachers of Secondary Education, specializing in mathematics. Finally, in the didactic foundation, we examine several investigations on the didactics of geometry. In the second part, we developed a teaching unit on analytical geometry in the plane, in which all the elements involved in the teaching-learning process are organized: objectives, content, methodology used, activities and resources, and evaluation criteria and instruments.