Geometers Sketchpad At the Middle Level

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Geometers SketchpadAt the Middle Level

• NO LIMIT Staff Development
• November 28, 2001

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Culture of Inquiry

• Meaningful learning
• Classroom discourse
• Individuals pose questions
• Solve problems

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Van Hiele Levels

• Level 0 Visualization
• Level 1 Analysis
• Level 2 Informal Deduction
• Level 3 Deduction
• Level 4 Rigor
• Sequential progression

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Sample of Van Hiele Levels

• Level 0 Shapes Classes of shapes
• Level 1 Properties of shapes
• Level 2 Relationships among properties
• Level 3 Deductive systems of properties
• Level 4 Analysis of deductive systems

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Van Hiele

• Sequential
• Not age dependent
• Experiences move

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Connection to Standards/EALRS

• Content Strand
• Geometric Reasoning

• Process Strand
• Mathematical Reasoning

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• Student predictions
• Writing conjectures
• Justifying ideas
• Assessment

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Instructional Progression

• Quadrilaterals
• Triangles

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Sketchpad Resources

• Shape Makers Developing Geometric Reasoning
  with the Geometers Sketchpad
• Geometry Activities for Middle School Students
  with The Geometers Sketchpad
• www.keypress.com, 1-800-keypress

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For more information

• NCTM Standards
• 3rd-5th grade pg. 164-169
• 6th-8th grade pg. 232-239

• Van de Walles book
• pg. 306-351
• Math on Call
• sections 314-32

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Shape Maker

• Designed to move students to Level 2
• Quadrilaterals
• Triangles
• Angles/sides
• Interelationships

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Sketch

• New sketch
• Use the segment tool to write your initials
• Use one acute, one obtuse, and one right angle

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Sketch

• pair of angles intersecting at one point
• pair of angles intersecting at two points
• pair of angles intersecting at three points
• pair of angles intersecting at four points
• pair of angles intersecting at an infinite number
  of points
• pair of angles intersecting at any other number
  of points

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• How can Geometers Sketchpad be used in the
  classroom?

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Construction

• Segment between two points
• Point on an object
• Midpoint of a segment
• Rays and lines
• Perpendicular and parallel lines
• Circle and polygon interiors

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What can you do with Sketchpad?

• Explore and teach geometry concepts
• Make classroom presentations
• Construct and explore geometric figures
• Construct fractals
• Create perspective drawings
• Create geometric art