Intervalos musicales y la fracción, una experiencia en el aula con el monocrodio

Abstract

This paper gives an account of the relationship between mathematics and music through the monocord: which is a musical instrument with a single string of Greek origin, (mono) single and (cordi) rope, is attributed to the invention of instrument to the philosopher Pythagoras which uses it in ancient Greece to establish a musical scheme which we know today as “the music scheme western". A teaching hypothesis of the fraction is proposed where the main context is music, from this, a sequence of activities is designed that would allow to work mathematical concepts such as the fraction as the reason and the fraction as the reason for the reason (proportion). Monocord on the other hand would allow to establish relations between the part and the whole, which is the main concept to work in the fractions, making use of Sounds we know today as musical notes. these relationships allow deduce that interdisciplinarity is a fundamental teaching tool because of its relationship between concepts and reality, in addition to establishing relationships between standards proposed by the ministry of education for fourth grade of primary between these two disciplines; also that there are reasons and proportions in music and that mathematical concepts endowed with real contexts and worked under the scheme of theory of teaching situations has a high percentage of understanding and specific use To solve problem situations.