This is a brief collection of information about Math 445 and Math 487. It will be expanded as the quarter progresses.
While everyone is welcome in the course, the primary purpose of the sequence Math 444-5 is to prepare students for teaching geometry in middle and high school. Thus on the one hand, the courses aim to instill a broad understanding and appreciation for geometry and on the other hand they aim to help students to acquire the mastery of geometry they will need as mathematics professionals. In addition, it is important that students experience a variety of ways of learning geometry so that they can make informed choices for methods of instruction when they become teachers. Thus the course provides experiences in working in groups, problem solving, mathematical writing, making and experimenting with physical models and manipulatives.
Plus, the required Math 487 Computer Lab provides an extensive experience using technology, mostly The Geometer's Sketchpad in 444 and also other software such as Cinderella in 445.
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This is a rough outline of the topics in Math 445.
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The course is organized fairly conventionally in many respects, with this work.
Assignments
Classroom activities and assessments
Tests
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This is a computer lab required of all 445 students. The two-hour labs will generally consist an exploratory geometry investigation with software such as The Geometer's Sketchpad. There may be a small amount of additional work outside the lab to finish the 487 assignment for the week. However, the 487 work will often segue into a homework activity in Math 445. It is probably most useful to think of 445 and 487 as two parts of a single course. It is misleading to think of every computer-based assignment as part of 487 just because it uses computers.
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Author: Brannan, Esplen, and Gray Title: Geometry Publisher: Cambridge University Press (required for 445)
Author: Ogilvy, Stanley Title: Excursions in Geometry Publisher: Dover (required for 445)
Author: Sved, Marta Title: Journey into Geometries Publisher: Mathematical Association of America (required for 445)
Author: Birkhoff, G. D., and Beatley, R. Title: Basic Geometry Publisher: American Math Society (Chelsea) (a Math 444 book useful as reference for 445)
Author: James King Title: Geometry Through the Circle with The Geometer's Sketchpad Publisher: Key Curriculum Press ISBN: 1-55953-047-2 (required for 445 and 487)
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Students in Math 445 should bring the following materials in class each day:
A good source of geometry manipulatives is Math 'n' Stuff.
Finally, students who have home computers may find it convenient to download a Free Demo Version or purchase a copy of the student version.
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The prerequisites are listed in the catalog. The main prerequisite is Math 444 or equivalent. Also, some linear algebra will be used and some knowledge of equations of surfaces in 3-space will also be assumed.
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Back to Math 445 Home page.