We live in three-dimensional (3D) space. Yet as subject matter, 3D-geometry seems to be awkward if not difficult. Why is that? In 2D-geometry there are things to do such as drawing lines, circles, and triangles and then comparing, intersecting, and measuring them. Are there activities in 3D-Geometry which are similarly concrete and rewarding? The present course tries to answer this question in the affirmative.
The topics of the course are points, lines, and planes in space. Students will work them through with their hands, so to speak, in the following modes:
These activities can be pegged at any level from High School through the first year of college. Thus, the course will be of interest to High School teachers and instructors at the college level, to undergraduate and graduate students planning to teach mathematics or any subject which requires geometric reasoning, and in general to individuals interested in novel approaches to geometry and visualization.
There are no formal prerequisites other than having had at one point at least one quarter of calculus. Students need to have a UW computer account; a temporary account will be provided for students without a UW account. The account is used for e-mail and for access to the web. Persons unfamiliar with e-mail or the web will be instructed, and they will find the UW e-mail system and the available browser easy to learn. Students not on campus during the week need a modem to log on to their account. There is no text (neither book nor software). Students will need a few minor items such as a tape measure. The course carries three credits. To receive credit students have to attend class meetings, to turn in homework, to complete projects, and to do some writing. Students will work in groups as well as on their own.