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Multiple Representations of
Mathematic Understanding




         clifmims.com
As you enter...
Consider the following (individually or with
neighbors):

1.How do your currently assess student
understanding/mastery? Is there much
variety?
2.How do you integrate technology into your
classroom? Do you integrate technology
with assessment?
Instructional Design
          and Technology
Certificate
  Technology Integration

Graduate Degrees
  Library Sciences Program

  Instructional Design & Technology

       idt.memphis.edu
All materials are available online at
    clifmims.com/presentations.
Opening Discussion
A. How do your currently assess student
   understanding/mastery?
B. Is there much variety?
C. How do you integrate technology into
   your classroom?
D. Do you integrate technology with
   assessment?
Test
Demonstrate your understanding of the
following geometry terms:
  Line               Triangle
  Ray                Congruent
  Circle             Similar
  Rectangle          Parallel lines
  Acute angle        Perpendicular lines
  Point              Intersecting lines
Geometry Activity Stations
• See handout for descriptions of each activity
  station.

  Paper and Pencil        Computer Programs
  Art Center              Digital Photography
  Pennies                 Slide Show

• Break into small groups
  – Try to spend 5 mins. or less at each station.
Slide Show Station
Click to view slide show for this station.
Group Reports
With regards to each specific
  representation:
• How might you assess the students’
  understanding of the content?
• Discuss the advantages and
  disadvantages of assessing students’
  understanding/mastery using this type of
  activity.
Follow-up Discussion
Discuss using these kinds of activities and
projects in the classroom.
•Are there any benefits?
•Are there any disadvantages?
•How realistic would this be in your teaching
situation?
•How do you think the students would react to
being assessed with these kinds of strategies?
Handing It In
Submit one activity from the station that you
think best represents your understanding of
these geometry terms to be graded.

          What would you submit?
Another Option
   You could complete one of these
        representations (pennies) for this
                        unit.
Then use a different one (digital camera)
              for the next.
Extension Discussion
Let’s brainstorm some other strategies for
allowing students to represent their ideas
through multiple modes.
Other Possible Strategies
•   Audio
•   Video
•   Drama
•   Clay or Playdough
•   Geometry Notebooks
•   Geometry Scavenger Hunt
•   Geometry Hike
•   Presentations (perhaps in lower grades)
•   Art Collage
•   Create a Game
Related Resources
The following workshop resources may be
helpful.
•Multiple Representations of Understanding
through Digital Media
•Multiple Representations of Language Arts
Understanding
Teacher Resources
All materials from today as well as
  many other teacher resources
          are available at
   clifmims.com/presentations.
Clif Mims
      clifmims.com
       ID: clifmims
Join my PLN and let’s learn together.
        clifmims.com/pln
clifmims.com/ccl

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Multiple Representations of Mathematic Mastery

  • 1. Multiple Representations of Mathematic Understanding clifmims.com
  • 2. As you enter... Consider the following (individually or with neighbors): 1.How do your currently assess student understanding/mastery? Is there much variety? 2.How do you integrate technology into your classroom? Do you integrate technology with assessment?
  • 3. Instructional Design and Technology Certificate Technology Integration Graduate Degrees Library Sciences Program Instructional Design & Technology idt.memphis.edu
  • 4. All materials are available online at clifmims.com/presentations.
  • 5. Opening Discussion A. How do your currently assess student understanding/mastery? B. Is there much variety? C. How do you integrate technology into your classroom? D. Do you integrate technology with assessment?
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  • 12. Test Demonstrate your understanding of the following geometry terms: Line Triangle Ray Congruent Circle Similar Rectangle Parallel lines Acute angle Perpendicular lines Point Intersecting lines
  • 13. Geometry Activity Stations • See handout for descriptions of each activity station. Paper and Pencil Computer Programs Art Center Digital Photography Pennies Slide Show • Break into small groups – Try to spend 5 mins. or less at each station.
  • 14. Slide Show Station Click to view slide show for this station.
  • 15. Group Reports With regards to each specific representation: • How might you assess the students’ understanding of the content? • Discuss the advantages and disadvantages of assessing students’ understanding/mastery using this type of activity.
  • 16. Follow-up Discussion Discuss using these kinds of activities and projects in the classroom. •Are there any benefits? •Are there any disadvantages? •How realistic would this be in your teaching situation? •How do you think the students would react to being assessed with these kinds of strategies?
  • 17. Handing It In Submit one activity from the station that you think best represents your understanding of these geometry terms to be graded. What would you submit?
  • 18. Another Option You could complete one of these representations (pennies) for this unit. Then use a different one (digital camera) for the next.
  • 19. Extension Discussion Let’s brainstorm some other strategies for allowing students to represent their ideas through multiple modes.
  • 20. Other Possible Strategies • Audio • Video • Drama • Clay or Playdough • Geometry Notebooks • Geometry Scavenger Hunt • Geometry Hike • Presentations (perhaps in lower grades) • Art Collage • Create a Game
  • 21. Related Resources The following workshop resources may be helpful. •Multiple Representations of Understanding through Digital Media •Multiple Representations of Language Arts Understanding
  • 22. Teacher Resources All materials from today as well as many other teacher resources are available at clifmims.com/presentations.
  • 23. Clif Mims clifmims.com ID: clifmims Join my PLN and let’s learn together. clifmims.com/pln