Spatial Reasoning

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Spatial Reasoning

• By Yosha Howe, Jennifer Soule, Trisha Kaberle,
  Stephanie Fiorino

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Definition

• The ability to interpret and make drawings, form
  mental images, and visualize movement or change
  in those images.

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Resources

• Patterning and Partitioning Video, Geometry
  Video, Subitizing Article, Crowley article, Good
  Questions for Math Teachers, Show and Tell book,
  NCTM website.

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Main Topics of Spatial Reasoning

• Visual Orientation
• Physical appearance of shapes
• Parts and Properties

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Visual Orientation

• Students ability to mentally see numbers in
  various orientations
• Visualizing numbers and sequences in a variety of
  patterns and spatial orientations
• Helps students number sense and number operations
• Patterning and partitioning video (Lauren)
• Subitizing article Quick images, dominos dots,
  and ten frame

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Quick Images
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Ten Frame
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Physical AppearanceVan Hiele Model Level 0

• Ability to name and identify an object by
  recognizing its physical appearance
• Can not recognize individual properties of
  geometric shapes
• Can reproduce these objects

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Geometry Video

• Teacher displays geometric shapes on over head
  for students to reproduce
• Had to visualize parts they could not see
• Students could name the shape without identifying
  the properties

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Tetris

• Ability to manipulate shapes to fit into rows
• Must visualize placement of shape in order to
  create a complete row
• http//www.miniclip.com/tetris.htm

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Parts and PropertiesVan Hiele Model Level 1

• Ability to conceptualize classes of shapes,
  recognize that properties of shapes, and make
  generalizations about classes of shapes
• Relationships between properties can not yet be
  explained by students
• Interrelationship between figures can not be seen
  
• Definitions are not yet understood

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Show and Tell

• Use experimentation and observation
• Page 133
• Geo Boards
• Students make own generalizations and conclusions
• Pages 126-128

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Good Questions for Math Teaching

• Two Dimensional Shapes
• Pages 77-79

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Conclusion

• Teachers can promote students use of spatial
  reasoning but it can not be taught
• Relates to everyday life