• The Journal of Natural Sciences
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• v.15 no.1
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• pp.1-10
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• 2005

Mathematics I music play very important roles in our society. In the time of the ancient Greeks, mathematics and music were strongly connected. This paper shows such connection between mathematics and music concludes that music has mathematical characteristics.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.65-76
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• 2004

Even though mathematics and music play very different roles in our society, they are closely related to each other. In this paper, we studies relations between mathematics and Korean traditional music, and give some ideas to use such relations in mathematics education.

• Journal for History of Mathematics
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• v.15 no.2
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• pp.93-100
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• 2002

Mathematics and music play very different roles in our society. However, they are closely related to each other In the time of the ancient Greeks, they were strongly connected. This paper identifies such connection and concludes that music has mathematical characteristics.

• Research in Mathematical Education
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• v.19 no.3
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• pp.177-193
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• 2015

Mathematical creativity, an important goal in mathematics education, can be promoted through an integrated learning environment where students explore mathematics with other subject areas such as science, technology, engineering and art. Establishing such learning environments is not a trivial task. Therefore, this creates a need for the development of instructional resources promoting meaningful integration. This paper focuses on integration of the fields of mathematics and music. Beginning with some of the historical discoveries and views of the connections between mathematics and music, this paper attends to several musical concepts correlating to middle school mathematical content and then provides ideas for teaching.

• Communications of Mathematical Education
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• v.30 no.2
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• pp.179-198
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• 2016

Mathematics(group theory, in particular) makes it partially possible to present and create music and patterns. This means that patterns can be presented by music through mathematics. In this work, we first produce musical piece for each type of frieze patterns. Based on the musical pieces, we compose a music presenting the combined pattern of all frieze types. We finally produce a video for hearing design through music. Through a QR-code, anyone can access the product of this work. The results of this research might be examples for integration of mathematics and arts and for utilizing smart circumstances.

• Communications of Mathematical Education
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• v.28 no.3
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• pp.367-374
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• 2014

Recently, interdisciplinary relation is emphasized on and various models are proposed. Since group theory is one of the important areas of modern mathematics, all the mathematics teachers for secondary school are familiar with it. Group theory, the theory of symmetries, are effectively applied to music or arts. In this paper, we understand the approximation model for gwaeyul of geomungo group theoretically to show the relation between mathematics and music(Korean music, in particular). This paper, in fact, proposes a group theoretic approximation model for gwaeyul of geomungo. The materials like this will be of help to teachers who try to integrate mathematics to other areas.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.313-334
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• 2022

The purpose of this study is to analyze the changes in mathematical learning through applying STEAM education according to social needs for out-of-school youth. For this purpose, we developed a teaching and learning model and program for mathematics and music STEAM education, and we implemented and analyzed the changes of affective area and problem-solving strategies. The analysis results of characteristic in affective area are as follows: first, the activity-oriented class of mathematics and music STEAM education aroused interest in mathematics. Second, providing opportunities for mathematics and music STEAM education instilled a positive perception of the value of mathematics and STEAM education. Third, the autonomous communication-oriented learning environment of mathematics and music STEAM education improved confidence and motivation to learn in mathematics. The analysis results of the characteristic in problem-solving strategy are as follows: first, through the STEAM education with mathematics and music, a conceptual understanding of internally and externally dividing points was formed, and a given problem was expressed and solved in a formula. Second, the functional correspondence relationship was understood, and the given problem was described and solved with symbols associated with the function. The suggestions of the study are as follows: first, based on the teaching and learning model and results of this study, various STEAM education programs for out-of-school youth should be developed and expanded to foster future competencies and provide new changes for out-of-school youth. Second, it can be used for research on the development of teaching and learning materials for convergence elective subjects in the high school credit system by referring to the mathematics and music convergence STEAM program of this study. As the subjects and fields of STEAM education are diversified and organized, students in need of receiving educational opportunities will be reduced, and there will be a world where the name of out-of-school youth and alternative education will not be necessary. Therefore, it is expected that development of teaching and learning programs created by interest in education of out-of-school youth will be used as an innovative idea in school education to achieve a virtuous cycle.

• Communications of Mathematical Education
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• v.28 no.2
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• pp.219-234
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• 2014

Music and mathematics have a lot of structural similarities. Major and minor triads used importantly in music are in a relationship of inversion in which the sequence of the intervals is reversed, which is equivalent to reflection in mathematics. Geometrical expressions help understand structures in music as well as mathematics, and a diagram that shows tonal relationships in music is called Tonnetz. Relationships of reflection between major and minor triads can easily be understood by using Tonnetz, and also, transpositions can be expressed in translation. This study looks into existing Tonnetz and introduces S-Tonnetz newly formed by a mathematical principle.

• The Journal of the Korea institute of electronic communication sciences
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• v.18 no.2
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• pp.367-372
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• 2023

In this paper, we analyzed through the EEG signals how musical stimulus affects learning activities. Musical stimuli were divided into sedative and stimulative tendency music, preferred and non-preferred music, and the learning activity tasks were divided into mathematics tasks and memorization tasks. The signals measured in the EEG experiments were analyzed with the power spectrum of SMR waves known to be related to human concentration. Those spectra used for quantitative comparison in this paper. As a result the power of the EEG signals was observed to be greater than the case where music was given as a stimulus. Regardless of the type of task, the power of the EEG signals was observed to be greater in the case of sedative tendency than in the case of stimulative tendency, and the power of the EEG signals was observed to be greater in the case of favorite music than in the case of unfavorite music. From these results, it is estimated that if the musical stimulus exists, in the case of sedative tendency music, and in the case of favorite music, concentration can be increased than in the relative case.

• Journal of Music and Human Behavior
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• v.7 no.1
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• pp.1-15
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• 2010

The purpose of this study is to inquire into the theoretical background of music therapy interventions for the improvement of mathematical concepts among young children with special needs. The researcher provides a basis of theoretical background about musical activities as an effective tool for young children to understand and promote their mathematical concepts, and the necessity of practical application in the field of mathematics education is suggested. Music, as a multi-sensory modality, has an ability to hold and maintain one's attention, and can be used as a memory aid and a powerful and effective motivator and reinforcer for young children. Therefore, musical activities can be used to facilitate mathematical concepts in the field of education for young children. Possible musical activities for promoting mathematical development are suggested, and the necessity for developing various musical activities is discussed.