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Published on: May 23, 2017
[Equivalence classes formation applied to learning musical notes]
Emilio Escuer Acín1, Andrés García García, Cristóbal Bohórquez Zayas
1Universidad Nacional de Educación a Distancia, Madrid, Spain.
Abstract:
Three experiments involving training and application of equivalence classes were carried out. In the first of them, with 6-6 years old children, and applying the equivalence classes logic to musical symbols and sounds learning, the necessary relations to build three equivalence classes (do, mi, sol) of five members each were acquired. In second and third experiments, five and seven equivalence classes (musical notes) of five member each were obtained. Six and a half years old children and one 17 years old Down syndrome diagnosed child took part in them, respectively. Results highlight the theoretical meaning of equivalence classes as explanation of human symbolic behavior, as the educational incomes of improving learning of basic elements in artistic skills.
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Equivalent Couples
Two couples are considered to be equivalent if they produce the same rotational effect on a rigid body. In other words, the two couples have the same magnitude and act in the same direction, causing the same angular displacement or acceleration in the body.
For instance, consider two couples lying in the plane of the page, with one having a pair of equal...
