Enseñanza del concepto de matriz a estudiantes de grado noveno, a través del programa computacional Derive
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Jiménez Alba, Jenny Patricia
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Este trabajo propone una unidad didáctica, que desarrolla el concepto de matriz, el álgebra de matrices y su aplicación a las transformaciones en el plano. Está dirigido a estudiantes de grado noveno de educación básica secundaria. Para su diseño se han considerado las distintas fases del aprendizaje según Van Hiele. Está compuesta por ocho actividades secuenciales, que introducen de manera progresiva el concepto de matriz como eje central para el estudio de los movimientos rígidos en el plano, a través del programa computacional Derive y GeoGebra. En la parte disciplinar se estudian las transformaciones lineales que preservan simetría y antisimetría.
Abstract. This piece of work proposes a didactic unit that develops the concept of Matrix, the Matrix Algebra, and their application to transformations of the Plane. It is aimed at students of the Ninth Grade of Basic Secondary Education. Its design is based on the different phases of learning according to Van Hiele. It is composed by eight sequential activities, which intruduce in a progressive manner the concept of Matrix as the main axis in order to study rigid movements on the plane, by using the computer programs Derive, and GeoGebra. On the disciplinar part the Linear Transformations that preserve Symmetry, and Antisymmetry are studied.
Abstract. This piece of work proposes a didactic unit that develops the concept of Matrix, the Matrix Algebra, and their application to transformations of the Plane. It is aimed at students of the Ninth Grade of Basic Secondary Education. Its design is based on the different phases of learning according to Van Hiele. It is composed by eight sequential activities, which intruduce in a progressive manner the concept of Matrix as the main axis in order to study rigid movements on the plane, by using the computer programs Derive, and GeoGebra. On the disciplinar part the Linear Transformations that preserve Symmetry, and Antisymmetry are studied.
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Palabras clave propuestas
Matriz; Transformaciones lineales del plano; Operador de transposición; Matrices simétricas y antisimétricas; Propuesta didáctica; Pensamiento espacial; Programa computacional Derive; Modelos de Van Hiele y movimientos rígidos del plano; Matrix; Linear transformations of the plane; Operator of transposition; Symmetric and antisymmetric matrices; Didactic proposition; Spatial thinking; Computer program _Derive; Van Hiele; Models and rigid movements on the plane Models and rigid movements on the plane