Teaching Mathematics in Architecture (original) (raw)
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Mathematics and Architecture: Importance of Geometry
Intentionally or unintentionally, from ages, architects, builders and construction experts have used mathematics as a very basic yet important tool for the soulful purpose of design, execution and finalization of building projects. In the history, architects were mathematicians and also some mathematicians were architect too. Vitruvius was a very well-known architect as well as famous mathematician. Mathematical readings of Pythagoras were later used in building proportions. Well known worker and user of golden ratio Leonardo Da Vinci along with many achievements was an architect too. The approach of this research paper is to come up with findings on importance of mathematics in architecture, as in geometry, from very important site analysis to final design of elevation or façade. Aim of the whole research is to come up with mathematical functions related to mensuration of building construction and Architectural Engineering. This paper is an initial part of the same research.
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present a brief note on what has to be considered a teaching success story. They tell of ten years of teaching mathematics at the Faculty of Architecture of the Università di Roma Tre, describing some new course content that has been introduced, the methods used and, above all, the spirit that has driven the ideas about teaching mathematics to future architects. The experience covers the full curriculum of the student: from first year courses to individual projects.
Mathematical Relations in Architecture and Spatial Design
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jane.burry@rmit.edu.au http://www.sial.rmit.edu.au/\~jburry Abstract This paper discusses the introduction or application of mathematics in architectural and spatial design education. The examples discussed are from undergraduate courses running in the Spatial Information Architecture Laboratory in RMIT University but the work draws on research in a wider international community. It specifically addresses the dual themes of effectively utilizing new paradigms in teaching and learning and applications of mathematics and modelling in the real world. The work discussed is projectrather than problem– based. Problems that emerge and have to be solved, are a subset of the students’ own world; the framing and definition of the problems are as much a topic for discussion and criticism as the student’s approach to their solution. In the context of architecture and design, a disciplinary area where mathematical content is sparse, and, if anything, diminishing and there is no prerequisite for m...
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The problem of teaching and apprenticeship of abstract contents, namely of Geometry in the context of Architecture training, doesn't lie in the provision of formal or mechanical prescriptions, but in the opportunity to equip students with methodologies of abstract reasoning and research, that will allow them to autonomously respond to the broad field of architectural action. As a fundamental science of architectural training and practice, geometry implies, simultaneously, to approach projective systems (spatial mechanics and support of architectural graphic materialization), to characterize geometrical lexicon (properties and generative procedures), to inquire ways of reasoning space (configuration and the forethought of its bodily experience), foreseeing their repercussions upon architectural design. A holistic overview of the discipline, which requires the convergence of two fundamental domains: Relation Geometries - that due to their synthetic nature, are aimed at understanding and conception of form and space; along with Representative Geometries - whose analytical purpose provide accurate resources for the representation and questioning of the material and immaterial world. Departing from such principles, the communication aims to share the ongoing re-equation of the followed teaching strategies, namely at the application of a project-based learning methodology, in the context of the School of Architecture, Art and Design of the University of Minho.
Educational Means for the Study of the Geometry of Architectural Forms
Procedia - Social and Behavioral Sciences, 2014
This paper presents an exercise which aims to stimulate architect students' creativity, raise awareness on architectures' formal possibilities based on geometric shapes and to illustrate how the theoretical knowledge can be practically applied on a certain architectural program. As basic information for this exercise, the types and the features of the main structural geometric forms are enumerated while student work exemplifies their use in a particular case.
International Journal of Engineering Research and Technology (IJERT), 2013
https://www.ijert.org/architecture-style-developing-through-application-of-mathematics-concepts-of-geometry-proportion-in-architecture https://www.ijert.org/research/architecture-style-developing-through-application-of-mathematics-concepts-of-geometry-proportion-in-architecture-IJERTV2IS90471.pdf Architecture has its unique relationship with mathematics, incorporating the study of such mathematical concepts as ratio, proportion, scales and symmetry. Put up definitions and explanations of the mathematical concepts of elementary geometry, stating their connection to architecture and ratio and proportion relate to architectural plan with mathematical accuracy in measuring. In this paper showing the connections between geometry and architecture with what appears to be an obvious example from various styles, architectural works which are also derived from basic geometric figures.The aim is to research the age old geometrical principles applied in Indian architecture. Deriving ancient principles of interrelationship between 'Geometry & Architecture' in three major branches of Indian architecture, particularly, Hindu Architecture and Islamic Architecture. Historically, architecture was part of mathematics, and in many periods of the past, the two disciplines were indistinguishable. In the ancient world, mathematicians were architects, whose constructions-The tombs, mosques, temples, pyramids and ziggurats. Geometry was the study of shapes and shapes were determined by numbers.Here geometry becomes the guiding principle. Geometric principles such as those used in triangles (the ratio between base and height, how they are related to the area of the triangle) have been used in many ancient architectural constructions.
Nexus Network Journal, 2014
Ivan Tafteberg Jakobsen and Jesper Matthiasen provide an edited transcript of the Nexus 2012 round table discussion from the Nexus conference in Milan, Italy. The topic of the round table discussion was what type of mathematics is required for the practice and appreciation of architecture. At the Nexus 2002 conference in Obidos, Portugal, a round table discussion was held on the topic of Mathematics in the Architecture Curriculum (Nexus 2002 Round Table Discussion 2002a). At the Nexus 2012 conference in Milan, Italy, this general topic was revisited, but this time focusing on the role of descriptive geometry and also broadening the view to include secondary school education in the discussion. This discussion was recorded and is presented here in an edited form. The Nexus 2012 Round Table Discussion was moderated by Ivan Tafteberg Jakobsen and Jesper Matthiasen who posed the trigger questions for the event. The panelists for this discussion were:
Mathematics for Architecture: Some European Experiences
Nexus Network Journal, 2001
Abstract. Orietta Pedemonte studies how mathematics in taught in faculties or schools of architecture in Belgium, Portugal, France, Switzerland and Spain, comparing course organizations, subjects offered and entrance requirements. Which and how much ...
International journal of engineering research and technology, 2013
Architecture has its unique relationship with mathematics, incorporating the study of such mathematical concepts as ratio, proportion, scales and symmetry. Put up definitions and explanations of the mathematical concepts of elementary geometry, stating their connection to architecture and ratio and proportion relate to architectural plan with mathematical accuracy in measuring. In this paper showing the connections between geometry and architecture with what appears to be an obvious example from various styles, architectural works which are also derived from basic geometric figures.The aim is to re-search the age old geometrical principles applied in Indian architecture. Deriving ancient principles of interrelationship between ‘Geometry & Architecture’ in three major branches of Indian architecture, particularly, Hindu Architecture and Islamic Architecture. Historically, architecture was part of mathematics, and in many periods of the past, the two disciplines were indistinguishable...