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In this research we analyze the influence of musical activities in the acquisition of mathematical knowledge and skills of a sample, 50 students from both a public and a private school in A Coruña (Spain), at a cognitive level. Based on a quantitative study with a quasi-experimental design, we evaluated students’ knowledge acquisition; we worked with musical activities related to mathematics in the experimental group (EG), and with traditional mathematical activities in the control group (CG). We used a questionnaire that the teachers completed before and after putting the activities into practice, after collecting—writing daily field notes—the mathematical knowledge acquired by the students. The results indicate that there are significant differences between the pretest and the posttest, between CG and EG, but there are no differences between public and concerted schools. In short, it is concluded that music represents an excellent tool in mathematical learning.

Formal education is experiencing a series of reforms that favor the integration of the contents of different areas in the teaching and learning of the different educational stages. The present study examined the use of an interdisciplinary music and mathematics experience in Secondary Education in Galicia (Spain) in the 2016/17 academic year. A descriptive-exploratory design was used, through a Likert questionnaire applied to 197 students with a diagnostic test and a reference test, and a study of multiple cases was carried out in which information was collected through classroom observations. The results show improvements in the understanding of mathematical and musical concepts, and attitudes and procedures so we can argue that the use of interdisciplinary activities have favored the development of teaching-learning opportunities in mathematical and musical training.Mathematics 2019, 7, 1227 2 of 13 attitudes. However, there is no record of studies linking both these disciplines in compulsory secondary education (ESO). The FractionsFractions are present in the most diverse contexts; they form part of the secondary education curriculum and are essential for learning algebra, geometry, and other areas of higher mathematics [7].Research on this construct creates a certain interest because many students consider fractions to be among the most complex mathematical concepts tackled in the early school years. The difficulties stem from a lack of conceptual understanding and procedural fluidity due to the limited use of manipulative teaching materials, visual representations and/or assessment of responses before attempting to use a formal algorithm [8]. The students see fractions as meaningless symbols or look at the numerator and denominator as separate numbers instead of understanding them as a unified whole [9]. In addition, these doubts persist when they arrive at secondary school as they have not understood the concept or have learnt it badly.Perrenoud [10] argues that the reason students do not make adequate progress stems from the lack of teacher competence in teaching math effectively and not being able to apply mathematics to daily life. In this regard, Castro-Rodríguez, Rico and Gómez [11] emphasize that innovative materials and forms of teaching are very important elements as they capture the schoolchildren's attention and allow them to obtain satisfactory results both academically and personally. Therefore, it is necessary for educators to break the monotony in their classrooms, stimulate their students by introducing novel aspects that arouse their interest and present them with approaches that will motivate and provoke a taste for and curiosity about the world of mathematics. Taking this into account, the main objective of our work is to be able to understand fractions significantly and use them in a range of actions, concepts and procedures linked to varied situations, encouraging students to discover them on their own, and as a team, and then to discuss the strengths and weaknesses of each strategy [7].

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Las limitaciones impuestas por el COVID 19 afectaron negativamente al desarrollo de las asignaturas de carácter práctico, en este caso la expresión musical, por lo que fue necesario buscar alternativas tecnológicas que permitieran la realización de actividades musicales colectivas. Esta experiencia se inició en el itinerario de Música del Máster universitario en profesorado de educación secundaria obligatoria, bachillerato, formación profesional y enseñanza de idiomas, dentro de la materia Proyectos de Innovación e Investigación Educativa en Música, siendo la primera vez que este itinerario se impartía en la UDC. Con el confinamiento, el trabajo final tomó forma de concierto, para demostrar que, aún desde el aislamiento, el aula de música seguía trabajando. A medida que el proyecto se conformaba, se fueron incorporando estudiantes de doctorado, que llevan varios años haciendo de mentores de alumnado de Música del Máster en Didácticas Específicas, así como el alumnado de Grado. El primer reto fue la ejecución de una obra orquestal estando cada intérprete en su domicilio. Para garantizar el cumplimiento del objetivo general, se estableció un organigrama y un cronograma con los repartos de roles y las diferentes fases de realización. Independientemente de algunas dificultades técnicas inevitables, los resultados superaron las expectativas iniciales, al recibir el reconocimiento de la comunidad universitaria, de la prensa y de los medios de comunicación.