53 research outputs found

    Proceedings of the 15th International Conference on Technology in Mathematics Teaching (ICTMT 15)

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    Proceedings of the 15th International Conference on Technology in Mathematics Teaching: Making and Strengthening "Connections and Connectivity" for Teaching Mathematics with Technology

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    The 15th International Conference on Technology in Mathematics Teaching (ICTMT 15) took place on September 13–16, 2022, in the Danish School of Education, Aarhus University, located on campus Emdrup, in the Northwestern district of Copenhagen, Denmark. There were a total of 66 participants from 15 different countries. ICTMT 15 certainly focused on the impacts that the coronavirus pandemic has had on global mathematics education. However, it looked at the impacts of digital technology from a much wider perspective. In particular, the conference aimed to highlight how technology facilitates the multiple “Connections and Connectivity” between us all to achieve the goals of purposeful mathematics education in the early 21st century. By “Connections” we mean the interrelationships between researchers, teachers, students, parents, policymakers, and industry (big and small). “Connectivity” includes oral, aural, textual and gestural communications as mediated by the internet, learning environments and classroom activities. Together, “Connections and Connectivity” describes the relationships between people, between different ideas and strategies to teach, and between people and environments. It offers a frame through which to interpret assessment in mathematics education as a more formative process from the point of view of both teachers and students

    Proceedings of the 15th International Conference on Technology in Mathematics Teaching: Making and Strengthening "Connections and Connectivity" for Teaching Mathematics with Technology

    Get PDF
    The 15th International Conference on Technology in Mathematics Teaching (ICTMT 15) took place on September 13–16, 2022, in the Danish School of Education, Aarhus University, located on campus Emdrup, in the Northwestern district of Copenhagen, Denmark. There were a total of 66 participants from 15 different countries. ICTMT 15 certainly focused on the impacts that the coronavirus pandemic has had on global mathematics education. However, it looked at the impacts of digital technology from a much wider perspective. In particular, the conference aimed to highlight how technology facilitates the multiple “Connections and Connectivity” between us all to achieve the goals of purposeful mathematics education in the early 21st century. By “Connections” we mean the interrelationships between researchers, teachers, students, parents, policymakers, and industry (big and small). “Connectivity” includes oral, aural, textual and gestural communications as mediated by the internet, learning environments and classroom activities. Together, “Connections and Connectivity” describes the relationships between people, between different ideas and strategies to teach, and between people and environments. It offers a frame through which to interpret assessment in mathematics education as a more formative process from the point of view of both teachers and students

    Proceedings of the 19th Sound and Music Computing Conference

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    Proceedings of the 19th Sound and Music Computing Conference - June 5-12, 2022 - Saint-Étienne (France). https://smc22.grame.f

    Criação de música baseada na proporção áurea: abordagem teórica e prática à escala de 34 tons de igual temperamento

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    The sensory phenomena of music perception are considered to be highly non-linear. The golden ratio plays a key role in nonlinear dynamic systems and has been recognized as an aesthetic element in many places over time. This research develops the 34-note equal tempered scale (34-TET). A microtonal model based on the golden ratio, containing the harmonic musical intervals, and permitting a consistent approach that embraces the different temperaments throughout history, as well as other music cultures. These theoretical properties are practically exposed in two portfolios, including compositional samples of art music with European roots (from the Renaissance to the twentieth century), popular music (bossa nova, tango, swing), maqãm, and Indian music. The second portfolio, created within the scope of this thesis, contains the artistic work “The Asian Garden” combining the equal tempered scales of 34 and 12 notes (12-TET), and provides additional cultural references from China and Japan. The 34-TET scale offers an overall approach to just intonation scale more than twice as good as that of 12-TET, with all consonant intervals well below the differential threshold. If a maximum impurity value was accepted, not appreciably different from that agreed upon when the equal-tempered 12- tone scale was standardized (17.65 cents vs. 15.67 cents), then the 34-TET scale would become, additionally, a useful tool for approaching different cultures.Os fenómenos sensoriais de perceção musical são considerados substancialmente não lineares. A proporção áurea desempenha um papel fundamental em sistemas dinâmicos não lineares e tem sido reconhecida como um elemento estético em vários contextos ao longo do tempo. Esta investigação desenvolve a escala de 34 notas de temperamento igual (34- TET). Trata-se de um modelo microtonal baseado na proporção áurea, contendo os intervalos harmónicos musicais, e permitindo uma abordagem consistente que abrange os distintos temperamentos ao longo da história, assim como outras culturas musicais. Estas propriedades teóricas estão praticamente expostas em dois portefólios, incluindo exemplos de composição erudita com raízes europeias (desde o Renascimento ao século XX), música popular (bossa nova, tango, swing), maqãm e música indiana. O segundo portefólio contém o trabalho artístico “The Asian Garden,” criado no âmbito desta tese, que combina escalas de temperamento igual de 34 e de 12 notas (12-TET), e fornece referências culturais adicionais da China e Japão. A escala 34-TET oferece uma abordagem global à escala de entonação justa que é mais de duas vezes melhor do que a da escala 12-TET, com todos os intervalos consonantes consideravelmente abaixo do limiar diferencial. Se fosse aceite um valor máximo de impureza não muito diferente do valor acordado quando a escala de 12 tons igualmente temperados foi padronizada (17,65 cents em vez de 15,67 cents), a escala 34-TET tornar-se-ia, adicionalmente, uma ferramenta útil para a aproximação de culturas diferentes.Programa Doutoral em Músic
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