Geometry

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Welcome to the Teaching Mathematics TEKS Through
Technology Training-of-Trainers!

• Geometry

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• Developed in Collaboration by
• Region 4 Education Service Center
• Texas A M University Commerce
• Funded by
• the Texas Education Agency

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• Goals for today
• Explore meaningful mathematics related to
  geometry.
• Experience how technology supports mathematical
  learning.
• Become judicious users of technology.

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• Components of the Two Days

Engage
Explore/Explain Cycles (3)
5E Instructional Model
Elaborate
Evaluate
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• Components of the Day

Cognitive and Metacognitive aspects
Red Folders
Complete Presenter Binder
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• Purpose of the Engage Phase
• The instructor initiates this stage by asking
  well-chosen questions, defining a problem to be
  solved, or by showing something intriguing. The
  activity should be designed to interest students
  in the problem and to make connections to past
  and present learning.

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How Comfortable Are You?
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Polly, Polly In Come Free!
(Pink Pages)
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Survey

• On the wall place a sticky dot on the continuum
  that best represents your situation.
• Note the difference for geometry is in the last
  statement The best technology tool for the
  geometry classroom is the dynamic graphing
  software.

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Polygons Rule Data Collection

• Use the cut out polygons, a ruler (measuring in
  cm) and the pink pages in the red folder to
  collect and answer questions about data.

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Techno Polly

• Open the Geometry Jump Drive folder on your
  desk top.
• Open the folder Geometry-Engage-Sketches.
• Use the sketch Techno Polly.gsp and the pink
  pages in the red folder to collect and answer
  data.

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Reflections on Data
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• When might a data source from actual measurement
  support the learning of the math TEKS?
• When might a dynamic data source support the
  learning of the math TEKS?
• Are trends more apparent in data resulting from a
  hand collected or a dynamic data source? Why?

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• What are the benefits of using data derived from
  the dynamic geometric software?
• What are the limitations of a dynamic data
  source?
• How might these limitations impact the learning
  of the math TEKS?

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• What topics in geometry could be fashioned or
  refashioned to rely on data?

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• How does dynamic geometry software data sources
  serve to engage students in the learning process?
• How might you use dynamic geometry software data
  sources to assess student learning?

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• Looking at the Venn diagrams, how are the data
  sources related?
• Looking at the Venn diagrams, how are the data
  sources different?

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Planning for Intentional Use of Data in the
Classroom

• (green sheet in the red folder)

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• Why ponder data?