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Everyday students learn about everyday positional descriptions. (above, below, beside, in front of, behind, and next to

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Everyday students learn about everyday positional descriptions. (above, below, beside, in front of, behind, and next to

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Morgan

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Shapes and properties is the content area most often associated with geometry in PreK-8 classrooms; when young students begin to "perceive, say, describe/discuss and construct objects in 2-D space"

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are changes in position or size of a shape and are a major focus of eighth grade CCSS.

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The van Hiele Levels of Geometric Thought is divided into 5 different levels of understanding spatial ideas. Each level describes the thinking processes used in geometric contexts

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The van Hiele Levels of Geometric Thought is divided into 5 different levels of understanding spatial ideas. Each level describes the thinking processes used in geometric contexts

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The van Hiele Levels of Geometric Thought 

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The van Hiele Levels of Geometric Thought 

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Level 0: Visualization
students recognize and name shapes based on global visual characteristics

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finding distance using the Pythagorean theorem.

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finding distance using the Pythagorean theorem.

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Ashley

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* to arrive at a level above 0, students must move through all prior levels

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Geometry, measurement, and algebra are all supported by the use of grid system with numbers or coordinates attached that can specify location. 

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Geometry, measurement, and algebra are all supported by the use of grid system with numbers or coordinates attached that can specify location. 

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Morgan

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Students need to explore how shapes fit together to form larger shapes and how larger shapes can be made of smaller shapes. This starts in Pre-K and then goes on to support geometry, finding area, surface area, and volume.
Niesha

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"Geometry done with the mind's eye" : Creating mental images of shapes and then turn them around mentally, thinking about how they look from different viewpoints and predicting the results of various transformations.

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for variety in two-dimensional shapes, use materials like a set of assorted shapes

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When instruction or language is at a level higher than that of the students, will be challenged to understand the concept being developed.

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Introduce shapes then introduce the terminology!

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this is one of the most important mathematical relationships and warrants in-depth conceptual investigation.

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Building or drawing two- and three-dimensional shapes is an important activity to help students think about properties and defining attributes of shapes.

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At first students are thinking about shapes in terms of the way they look, so visualization activities will challenges students to think about two-dimensional shapes in different orientations. 

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At first students are thinking about shapes in terms of the way they look, so visualization activities will challenges students to think about two-dimensional shapes in different orientations. 

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Saige

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students at analysis level consider all shapes within a class rather than just the single shape on their desk

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Line symmetry and rotational symmetry help students understand the concept of reflections and will help when learning more complex geometry.

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A combination of two or more transformations is called a composition.