Shall We (Math and) Dance?

Mannone, Maria; Turchet, Luca

doi:10.1007/978-3-030-21392-3_7

Cited by 10 publications

(4 citation statements)

References 19 publications

(57 reference statements)

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“…Tarian adalah sub-bidang matematika, khususnya geometri (Mannone & Turchet, 2019;Rawani et al, 2023). Tarian dapat membantu menghubungkan konsep matematika yang lebih abstrak dengan gerakan yang konkret dan mendasar (Rhodes, 2006).…”

Section: Pendahuluanunclassified

Pembelajaran Sudut melalui Tarian Kreasi Sumatera Selatan Menggunakan Pendekatan Pendidikan Matematika Realistik Indonesia di SMP

Rawani,

Dina Octaria

2023

Indiktika J. Inov. Pend. Mat.

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Tujuan dari penelitian ini adalah memperoleh gambaran pembelajaran sudut menggunakan pendekatan Pendidikan Matematika Realistik Indonesia (PMRI) di Sekolah Menengah Pertama yang ditinjau dari dua aspek yaitu: aktivitas siswa selama pembelajaran, respon atau sikap siswa pada pembelajaran. Subjek penelitian adalah siswa kelas VII SMP N 18 Palembang yang terdiri dari 32 siswa. Metode penelitian yang digunakan penelitian deskriptif kualitatif dan kuantitatif. Teknik pengumpulan data adalah observasi untuk mengetahui aktivitas siswa selama proses pembelajaran berlangsung, serta dokumen untuk mengetahui hasil kerja Lembar Kerja Peserta Didik (LKPD) saat proses pembelajaran untuk mengetahui kemampuan siswa. Dari analisis data disimpulkan bahwa hasil observasi menunjukkan semua siswa aktif mengikuti pembelaran dengan baik. Dari analisis data dapat disimpulkan bahwa hasil observasi menunjukkan semua siswa aktif mengikuti pembelajaran dengan baik. Dari hasil kerja siswa pada LKPD dan latihan menunjukkan bahwa semua siswa mampu menyelesaikan pembelajaran materi sudut dengan rata-rata 84,75 termasuk kategori sangat baik. Sedangkan hasil observasi keterlaksanaan guru dalam proses pembelajaran mulai pendahuluan, kegiatan inti, dan penutup sudah terlaksana dengan baik.

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Section: Pendahuluanunclassified

Pembelajaran Sudut melalui Tarian Kreasi Sumatera Selatan Menggunakan Pendekatan Pendidikan Matematika Realistik Indonesia di SMP

Rawani,

Dina Octaria

2023

Indiktika J. Inov. Pend. Mat.

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“…This technique is based on some hints from the mathematical theory of musical gestures. This is a fertile field of research (Mazzola and Andreatta 2007;Jedrzejewski 2019;Arias 2018;Arias-Valero and Lluis-Puebla 2020;Mannone and Turchet 2019;Clark 2020). The language of categories and some of its results and constructions (Mac Lane 1978;Fuyama, Saigo, and Takahashi 2020) are decisive to build the abstract and general tools of gesture theory.…”

Section: A Technique: Gestural Similarity and Quantum Gestartmentioning

confidence: 99%

A musical reading of a contemporary installation and back: mathematical investigations of patterns in Qwalala

Mannone

2021

Journal of Mathematics and Music

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Mathematical music theory helps us investigate musical compositions in mathematical terms. Some hints can be extended towards the visual arts. Mathematical approaches can also help formalize a "translation" from the visual domain to the auditory one and vice versa. Thus, a visual artwork can be mathematically investigated, then translated into music. The final, refined musical rendition can be compared to the initial visual idea. Can an artistic idea be preserved through these changes of media? Can a non-trivial pattern be envisaged in an artwork, and then still be identified after the change of medium? Here, we consider a contemporary installation and an ensemble musical piece derived from it. We first mathematically investigate the installation, finding its patterns and structure, and then we compare them with structure and patterns of the musical composition. In particular, we apply two concepts of mathematical music theory, the Quantum GestART and the gestural similarity conjecture, to the analysis of Qwalala, realized for the Venice Biennale by Pae White, comparing it to its musical rendition in the homonymous piece for harp and ensemble composed by Federico Favali. Some sketches of generalizations follow, with the "Souvenir Theorem" and the "Art Conjecture.

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“…Categories have also been applied to music (Mazzola et al 2018;Popoff et al 2015;Jedrzejewski 2006Jedrzejewski , 2019Fiore and Noll 2011;Mannone 2018a). We can describe, with categories, musical structures as elements and transformations between them, musical gestures (Mazzola and Andreatta 2010;Arias 2018), recursive musical gestures (Mannone 2018c), and even musical instruments (Mannone and Favali 2019), and music and dance (Mannone and Turchet 2019). In recent literature, there have been some pioneering connections between quantum mechanics and diagrammatic thinking (Coecke 2006).…”

Section: Mathematics: Category Theory and Diagrammatic Thinkingmentioning

confidence: 99%

Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization

Mannone

Favali

Donato

et al. 2020

Journal of Mathematics and Music

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Mathematics can help analyze the arts and inspire new artwork. Mathematics can also help make transformations from one artistic medium to another, considering exceptions and choices, as well as artists' individual and unique contributions. We propose a method based on diagrammatic thinking and quantum formalism. We exploit decompositions of complex forms into a set of simple shapes, discretization of complex images, and Dirac notation, imagining a world of "prototypes" that can be connected to obtain a fine or coarse-graining approximation of a given visual image. Visual prototypes are exchanged with auditory ones, and the information (position, size) characterizing visual prototypes is connected with the information (onset, duration, loudness, pitch range) characterizing auditory prototypes. The topic is contextualized within a philosophical debate (discreteness and comparison of apparently unrelated objects), it develops through mathematical formalism, and it leads to programming, to spark interdisciplinary thinking and ignite creativity within STEAM.

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Shall We (Math and) Dance?

Cited by 10 publications

References 19 publications

Pembelajaran Sudut melalui Tarian Kreasi Sumatera Selatan Menggunakan Pendekatan Pendidikan Matematika Realistik Indonesia di SMP

Pembelajaran Sudut melalui Tarian Kreasi Sumatera Selatan Menggunakan Pendekatan Pendidikan Matematika Realistik Indonesia di SMP

A musical reading of a contemporary installation and back: mathematical investigations of patterns in Qwalala

Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization

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