MTHE 751 - Informal Geometry: Content and Pedagogy

Credits 2
The course places strong emphasis upon the acquisition of the language of geometry. The big ideas of shape and dimension provide the umbrella under which can be found the specific concepts and relationship of geometry that are the content of the course. The course can be summarized by the following goals: 1) to visualize geometric figures through manipulatives, identification within a set of figures, drawing, construction and seeing in the real world; 2) to classify geometric figures by sorting according to selected attributes, comparing and contrasting figures, by identifying a figure from oral or written descriptions and to develop and use a definition of a figure; 3) to analyze geometric figures and relationships by explaining how figures and parts are related and interpreting the meaning of a geometric situation; 4) to discover and formulate generalizations by posing and answering "what if" questions, by continuing patterns and discovering generalizations from seeing many examples; and 5) to prove and disprove generalizations by giving reasons why something is always true and showing counterexamples to show a generalization to be false.
May not be audited.

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