891 resultados para Mathematics and Art
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Brisbane-based artist and Founding Co-Director of LEVEL artist run initiative Courtney Coombs reports on a one day forum about Feminism and Art held at LEVEL on International Womens Day 2013. LEVEL is focused on providing opportunities for female visual artists and generating dialogue around gender and arts practice. To listen to podcasts from the event visit http://www.ciprecinct.qut.edu.au/archive/2013/feminism-art.jsp
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My doctoral dissertation is on Johan Jakob Tikkanen (1857 1930), the first professor of art history in Finland, and his significance and methods in the context of late 19th and early 20th-century European art history. Tikkanen was one of the pioneering scholars in the field of medieval art research, and, along with Anton Springer, Heinrich Wölfflin, Aloïs Riegl, Adolfo Venturi, Franz Wickhoff, Julius von Schlosser, Aby Warburg, Emile Mâle and others, one of the scholars who defined art history as an independent academic discipline. Tikkanen s scholarly interests and his methods resemble those of many formalistically oriented German and Austrian art historians of his time. He became well known throughout Europe, mainly for his studies on illustrated medieval manuscripts. Tikkanen s dissertation, Der Malerische Styl Giotto s Versuch zu einer Characteristik Desselben, from 1884 was regarded in its day as the best form-analytical study on the painter. It has a central position in the present thesis, as it already included nearly all the methods that Tikkanen used and elaborated upon throughout his career. Giotto also gives a good perspective for comparing Tikkanen s ideas with a long art-historical tradition. Tikkanen was profoundly interested in artistic creativity. In his own words, he wanted to study das künstlerische Können , artistic ability, instead of das künstlerische Wollen or artistic will, which was an important theoretical issue in art history in the late 19th century. This starting point led him to the history of style and iconographical research. Along with the Danish art historian, Julius Lange, he was one of the first scholars who began to study the meaning of gestures and postures in art. In my dissertation I have emphasized the importance of Tikkanen s personal art education. I regard it as having influenced both his scholarly argumentation and his working methods. I have also written a short overview of the situation of art history in Finland and in Northern Countries before Tikkanen s time in order to give an idea of his scientific background. My thesis is a critical and historiographical study on J. J. Tikkanen s role in the development of art history and its methodology.
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Review of Paul Wood (2013), Western Art and the Wider World. Wiley-Blackwell : Chichester, United Kingdom.
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We discuss three approaches to the use of technology as a teaching and learning tool that we are currently implementing for a target group of about one hundred second level engineering mathematics students. Central to these approaches is the underlying theme of motivating relatively poorly motivated students to learn, with the aim of improving learning outcomes. The approaches to be discussed have been used to replace, in part, more traditional mathematics tutorial sessions and lecture presentations. In brief, the first approach involves the application of constructivist thinking in the tertiary education arena, using technology as a computational and visual tool to create motivational knowledge conflicts or crises. The central idea is to model a realistic process of how scientific theory is actually developed, as proposed by Kuhn (1962), in contrast to more standard lecture and tutorial presentations. The second approach involves replacing procedural or algorithmic pencil-and-paper skills-consolidation exercises by software based tasks. Finally, the third approach aims at creating opportunities for higher order thinking via "on-line" exploratory or discovery mode tasks. The latter incorporates the incubation period method, as originally discussed by Rubinstein (1975) and others.
Building sustainable education in science, mathematics and technology education in Western Australia
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Robotics is taught in many Australian ICT classrooms, in both primary and secondary schools. Robotics activities, including those developed using the LEGO Mindstorms NXT technology, are mathematics-rich and provide a fertile round for learners to develop and extend their mathematical thinking. However, this context for learning mathematics is often under-exploited. In this paper a variant of the model construction sequence (Lesh, Cramer, Doerr, Post, & Zawojewski, 2003) is proposed, with the purpose of explicitly integrating robotics and mathematics teaching and learning. Lesh et al.’s model construction sequence and the model eliciting activities it embeds were initially researched in primary mathematics classrooms and more recently in university engineering courses. The model construction sequence involves learners working collaboratively upon product-focussed tasks, through which they develop and expose their conceptual understanding. The integrating model proposed in this paper has been used to design and analyse a sequence of activities in an Australian Year 4 classroom. In that sequence more traditional classroom learning was complemented by the programming of LEGO-based robots to ‘act out’ the addition and subtraction of simple fractions (tenths) on a number-line. The framework was found to be useful for planning the sequence of learning and, more importantly, provided the participating teacher with the ability to critically reflect upon robotics technology as a tool to scaffold the learning of mathematics.
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Architecture today often is praised for its tectonics, floating volumes, and sensational, gravity-defying stunts of “starchitecture.” Yet, very so often there is a building that inspires descriptions of the sublime, the experiential, and the power of light and architecture to transcend our expectations. The new Meinel Optical Sciences Research Building, designed by Phoenix-based Richärd+Bauer for the University of Arizona, Tucson, is one of these architectural rarities. Already drawing comparisons to Louis Kahn's 1965 Salk Institute for Biological Studies in La Jolla, California, the indescribable quality of light that characterizes the best of Kahn's work also resonates in Richärd+Bauer's new building. Both an expansion and renovation of the existing College of Optical Sciences facilities, the Meinel building includes teaching and research laboratories, six floors of offices, discussion areas, conference rooms, and an auditorium. The new 47,000 square-foot cast-in-place concrete structure, wrapped on three-sides in copper-alloy panels, harmonizes with the largely brick vocabulary of the campus while reflecting the ethereal quality of the wide Arizona sky. The façade, however, is merely a prelude for what awaits inside—where light and architecture seamlessly combine to create moments of pure awe.
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In this paper, we introduce the Generalized Equality Classifier (GEC) for use as an unsupervised clustering algorithm in categorizing analog data. GEC is based on a formal definition of inexact equality originally developed for voting in fault tolerant software applications. GEC is defined using a metric space framework. The only parameter in GEC is a scalar threshold which defines the approximate equality of two patterns. Here, we compare the characteristics of GEC to the ART2-A algorithm (Carpenter, Grossberg, and Rosen, 1991). In particular, we show that GEC with the Hamming distance performs the same optimization as ART2. Moreover, GEC has lower computational requirements than AR12 on serial machines.
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The study of a score by a serious performer is a fundamental step in the process of arriving at a knowledgeable and deeply informed approach to performing a piece of music. In order to obtain this knowledge numerous aspects of the score must be taken into consideration. It is the intent of this dissertation to gather and analyze the information concerning Naturale, a work written by Luciano Berio in 1985 for viola, percussion and recorded voice, based on Sicilian folk songs. All the aspects surrounding Naturale’s existence are taken into consideration in this study. First, it is important to reflect on Berio’s compositional style and traits, the manner in which he relates his works one to another, what he sees in folk music and his own personal desire to intertwine art music and folk music. For Berio Naturale is not an isolated venture into the realm of mixing folk music and his own avant-garde style; it is instead one of many works resulting from his long-standing relationship with folk music. Another essential aspect in this case is the study of Sicilian folk music itself, and the sources used by Berio to find the songs by which he was inspired. The work is examined section by section with figures showing both excerpts of Naturale as well as the original songs with their translations. An analysis containing harmonic, thematic and formal aspects of the score was developed in order to arrive at a better understanding of the structure and pacing of the piece. For this research the author went to Italy to conduct an interview with Maestro Aldo Bennici, the Sicilian violist for whom Naturale was composed. This interview helped in the discovery of two more songs used by Berio that have not to this point been identified in any other document. Bennici’s outstanding testimony portrayed the expressive character of this music and the evocative imagery behind this score. I hope to bring this knowledge to other performers, that they may fully understand and appreciate the unique beauty and power of Berio’s Naturale.
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Review of Mathematics and Culture II. Visual Perfection: Mathematics and Creativity, Michele Emmer (Ed.), Springer, 2005 ISBN: 978-3-540-21368-0
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This paper looks at the application of some of the assessment methods in practice with the view to enhance students’ learning in mathematics and statistics. It explores the effective application of assessment methods and highlights the issues or problems, and ways of avoiding them, related to some of the common methods of assessing mathematical and statistical learning. Some observations made by the author on good assessment practice and useful approaches employed at his institution in designing and applying assessment methods are discussed. Successful strategies in implementing assessment methods at different levels are described.
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As they began their one-year teacher education program 138 elementary school teacher candidates completed a questionnaire designed to measure their beliefs concerning the nature of mathematics, measured on a scale from absolutist to fallibilist, and their beliefs concerning effective mathematics instruction, measured on a scale from traditional to constructivist. Interviews were conducted with volunteer questionnaire participants, with selection based on the questionnaire results and using two sets of criteria. Study 1. involved 8 teacher candidates showing distinct absolutist or fallibilist views of mathematics and individual interviews explored participants' beliefs concerning the use of information and communication technology, particularly interactive whiteboards (IWB), in the teaching and learning of mathematics. Participants with absolutist beliefs about the nature of mathematics tended to focus on the IWB as a presentation tool, while those with fallibilist beliefs appreciated the use of the IWB to support student exploration. Study 2. involved 8 teacher candidates with apparently misaligning absolutist beliefs concerning the nature of mathematics and constructivist beliefs concerning teaching. Interviews exploring participants' favoured instructional approaches, particularly those involving the use of manipulatives, showed that constructivist views involved essentially surface beliefs and that in fact manipulatives would be employed to support traditional direct instruction.