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Perspective --- Fractals --- Art --- Mathematics
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Writing Projects for Mathematics Courses is a collection of writing projects suitable in a wide range of undergraduate mathematics courses, from a survey of mathematics to differential equations. The projects vary in their level of difficulty and in the mathematics that they require, but are similar in the mode of presentation and use of applications. Students see these problems as real in a way that textbooks problems are not, even though many of the characters involved (e.g., dime-store detectives and CEOs) are obviously fictional. The stories are sometimes fanciful and sometimes grounded in standard scientific applications, but the mere existence of the story draws the students in and makes the problem relevant. The book is the combined effort of four instructors who have used writing projects in their own courses. They provide an easy-to-use, widely applicable set of course materials that instructors can adopt and adapt to their own courses. An extensive set of class-tested projects is included along with: implementation notes which highlight student difficulties, information about project solutions, and advice for grading writing projects.
Mathematics --- Word problems (Mathematics) --- Math --- Science --- Problems, Word (Mathematics) --- Story problems (Mathematics) --- Study and teaching (Higher)
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Through a unique approach combining art and mathematics, Perspective and Projective Geometry introduces students to the ways that projective geometry applies to perspective art. Geometry, like mathematics as a whole, offers a useful and meaningful lens for understanding the visual world. Exploring pencil-and-paper drawings, photographs, Renaissance paintings, and GeoGebra constructions, this textbook equips students with the geometric tools for projecting a three-dimensional scene onto two dimensions. Organized as a series of exercise modules, students learn through hands-on inquiry and participation. Each lesson begins with a visual puzzle that can be investigated through geometry, followed by exercises that reinforce new concepts and hone students’ analytical abilities. An instructor’s manual available to teachers contains sample syllabi and advice, including suggestions for pacing and grading rubrics for art projects. Drawing vital interdisciplinary connections between art and science, Perspective and Projective Geometry is ideally suited for undergraduate students interested in mathematics or computer graphics, as well as for mathematically inclined students of architecture or art. · Features computer-based GeoGebra modules and hands-on exercises· Contains ample visual examples, math and art puzzles, and proofs with real-world applications· Suitable for college students majoring in mathematics, computer science, and fine art· Instructor’s manual (available only to teachers)
Art --- Geometry, Projective. --- Geometry in art. --- Perspective. --- Mathematics.
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