![]() ![]() ![]() Recognize and represent shapes from different perspectivesÄutch educators Pierre van Hiele and Dina van Hiele-Geldof developed a theory of five levels of geometric thought.Create mental images of geometric shapes using spatial memory and spatial visualization.Recognize and create shapes that have symmetry.Recognize and apply slides, flips, and turns.Investigate and predict the results of putting together and taking apart two- and three-dimensional shapes.Describe attributes and parts of two- and three-dimensional shapes.Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes.In grades pre-K-2 classrooms, students are expected to do the following: Use visualization, spatial reasoning, and geometric modeling to solve problems.Apply transformations and use symmetry to analyze mathematical situations.Specify locations and describe spatial relationships using coordinate geometry and other representational systems.Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.In grades pre-K through 12, instructional programs should enable all students to do the following: The National Council of Teachers of Mathematics (NCTM, 2000) identifies geometry as a strand in its Principles and Standards for School Mathematics. ![]()
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