Latest Module Specifications
Current Academic Year 2025 - 2026
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Description The module will address plane geometry to include basic geometric constructions, area conversion, and loci (as relevant to the Junior and Senior Cycle syllabi). The module will also utilise digital tools including vector format CAD to support knowledge acquisition and communication. Students will engage with technological contexts and problems used to develop graphical communication, mathematical literacy, efficiency and proof. This module will support the development of graphics as a technological language. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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Learning Outcomes 1. Explain basic concepts of cognitive and educational psychology that are empirically associated with Graphics (spatial ability, reasoning, working memory, fluid and crystallised intelligence) and describe conceptually how they are related to each other. 2. Understand the derivation and application of basic geometric constructions associated with plane geometry. 3. Generate and transform complex plane figures by means of translations, axial symmetry, central symmetry, rotations, and changes in area. 4. Appreciate the role of vector format CAD as a tool for graphical education in terms of both teaching and learning. 5. Demonstrate proficiency in the use of basic vector format CAD commands. 6. Create graphical representations of abstract and real world objects using a variety of freehand drawing and technical sketching principles. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
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Indicative Content and Learning Activities
Introduction to cognition and graphics: Spatial ability, reasoning and working memory, fluid intelligence, crystallised intelligence. Plane geometry: Basic geometric constructions and associated mathematical theorems, plane and diagonal scales, areas of figures – scale and mean proportional, loci – the circle, ellipse and parabola, transformation geometry – translations, axial symmetry, central symmetry, rotations. Graphical communication: Freehand drawing, sketching, shadow and shade, scale, proportion, golden section, root rectangles, Fibonacci sequence, interpretation and visualisation of data. CAD: Vector format CAD (AutoCAD and draftsight), .wmf files, basic CAD commands (line, circle, rectangle, ellipse, polygon, offset, trim, fillet, chamfer, extend, mirror, rotate, scale, hatch, divide, join, text), line types, dimensioning and area calculation, ortho, snap, zoom. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List Books:
Articles:
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Other Resources
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