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Explore innovative methods to teach geometry using spatial reasoning, transformations, and geometric modeling, aligned with NCTM standards. Enhance learning with motivators, little books, visualization, and identification of solids. Access resources for effective classroom implementation.
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Making Geometry Solid for Middle School ESA 2 Summer Symposium for Educators June 18, 2007 Lincoln HS, SF
What do the NCTM Standards Say? • Analyze characteristics and properties of shapes. • Describe spatial relationships using coordinate geometry. • Apply transformations. • Use visualization, spatial reasoning, and geometric modeling to solve problems.
Reasons to Use Motivators • Motivate students—obviously. • Set the stage for learning. • Makes class more fun for students and teachers.
Little Books • Something out of nothing. • Advanced Organizer-Solids in a little book. • Multiple uses.
Visualization • Square on the handout. • Exercise in following directions. • Expand the activity by relating the sizes of various shapes. This also helps you review fractional parts.
Identification of Solids • Build a paper cube • Traditional • Appears empty, not solid, to students • Build a Play-Doh Cube • Definitely solid
Characteristics of a Solid • Faces—paper cube • Vertices-gum drops and toothpicks • Edges—Q-tips
Platonic Solids • Tetrahedron—build with envelope • Cube—build with straws and tape • Octahedron • Icosahedron • Dodecahedron
Resources • Standards Books • SD Mathematics Content Standards • NCTM Principles and Standards • Websites • www.nctm.org • www.sdctm.org