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Darren Kuropatwa
http://adifference.blogspot.com
ACSD #14 August 10, 2007
What you know about math?
The problem is ...
what do grades mean?
It started with ...
     ... a terse comment
Student Voices to Expert Voices
Structuring the pedagogy ...
Structuring the pedagogy ...
Structuring the pedagogy ...
Structuring the pedagogy ...
                  The Learning Pyramid
(re)Structuring the pedagogy ...
(re)Structuring the pedagogy ...
                         ...the twin pyramids
Listen to an Expert Voice ...
who learns in depth ...

   The Assignment
 Think back on all the things you have learned so far this
 semester and create (not copy) four problems that are
 representative of what you have learned. Provide annotated
 solutions to the problems; they should be annotated well
 enough for an interested learner to understand and learn
 from you. Your problems should demonstrate the upper limit
 of your understanding of the concepts. (I expect more
 complex problems from a student with a sophisticated
 understanding than from a student with just a basic grasp of
 concepts.) You must also include a brief summary reflection
 (250 words max) on this process and also a comment on what
 you have learned so far.
Listen to an Expert Voice ...
who publishes for the world ...
Listen to an Expert Voice ...
and the world replies ...
The Age of Innovation
Be largely performance based ...
We need to know how students apply content knowledge to
critical-thinking, problem-solving, and analytical tasks
throughout their education, so that we can help them hone
this ability and come to understand that successful learning is
as much about the process as it is about facts and figures.
Performance based ...
Make students’ thinking visible.
 The assessments should reveal the kinds of conceptual
strategies a student uses to solve a problem.
Make thinking visible ...
Generate data that can be acted upon.
 Teachers need to be able to understand what the assessment
reveals about students’ thinking. And school administrators,
policy makers, and teachers need to be able to use this
assessment information to determine how to create better
opportunities for students.
Build capacity in both teachers and students.

Assessments should provide frequent opportunity for
feedback and revision, so that both teachers and students
learn from the process.
Building capacity ...
Be part of a comprehensive and well-aligned continuum.

Assessment should be an ongoing process that is well-aligned
to the target concepts, or core ideas, reflected in the standards.
The Rubric v1.1
Reflections ...

                 mine ...
Reflections ...

                 and theirs ...
Next time ... some changes ...
Next time ... some changes ...
Next time ... some changes ...
Reflective comments ...
Success ...
Credits
Photos
What a Child Sees
http://flickr.com/photos/thomashawk/176785431/

An all A's grades report now considered ornamental
http://flickr.com/photos/mavisbal/347518574/

Yer Blues
http://flickr.com/photos/snowriderguy/177425082/

Reflect
http://flickr.com/photos/myrtepeert/149231528/

IMG_8118
http://flickr.com/photos/tookie/183503927/


                                                     Video
Walk alone
http://flickr.com/photos/pensiero/124403282/
Phases of a Total Lunar Eclipse                      What You Know About Math?
http://flickr.com/photos/fortphoto/183865953/         http://youtube.com/watch?v=-9wq2WAH-Qk
Truth                                                Taylor Mali on what teachers make
http://flickr.com/photos/nuudls/177668934/            http://www.youtube.com/watch?v=RxsOVK4syxU
Why “A Difference?”
thanks

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Structuring Pedagogy to Make Student Thinking Visible

  • 2. What you know about math?
  • 3. The problem is ... what do grades mean?
  • 4. It started with ... ... a terse comment
  • 5. Student Voices to Expert Voices
  • 9. Structuring the pedagogy ... The Learning Pyramid
  • 11. (re)Structuring the pedagogy ... ...the twin pyramids
  • 12. Listen to an Expert Voice ... who learns in depth ... The Assignment Think back on all the things you have learned so far this semester and create (not copy) four problems that are representative of what you have learned. Provide annotated solutions to the problems; they should be annotated well enough for an interested learner to understand and learn from you. Your problems should demonstrate the upper limit of your understanding of the concepts. (I expect more complex problems from a student with a sophisticated understanding than from a student with just a basic grasp of concepts.) You must also include a brief summary reflection (250 words max) on this process and also a comment on what you have learned so far.
  • 13. Listen to an Expert Voice ... who publishes for the world ...
  • 14. Listen to an Expert Voice ... and the world replies ...
  • 15. The Age of Innovation
  • 16. Be largely performance based ... We need to know how students apply content knowledge to critical-thinking, problem-solving, and analytical tasks throughout their education, so that we can help them hone this ability and come to understand that successful learning is as much about the process as it is about facts and figures.
  • 18. Make students’ thinking visible. The assessments should reveal the kinds of conceptual strategies a student uses to solve a problem.
  • 20. Generate data that can be acted upon. Teachers need to be able to understand what the assessment reveals about students’ thinking. And school administrators, policy makers, and teachers need to be able to use this assessment information to determine how to create better opportunities for students.
  • 21. Build capacity in both teachers and students. Assessments should provide frequent opportunity for feedback and revision, so that both teachers and students learn from the process.
  • 23. Be part of a comprehensive and well-aligned continuum. Assessment should be an ongoing process that is well-aligned to the target concepts, or core ideas, reflected in the standards.
  • 25. Reflections ... mine ...
  • 26. Reflections ... and theirs ...
  • 27. Next time ... some changes ...
  • 28. Next time ... some changes ...
  • 29. Next time ... some changes ...
  • 32. Credits Photos What a Child Sees http://flickr.com/photos/thomashawk/176785431/ An all A's grades report now considered ornamental http://flickr.com/photos/mavisbal/347518574/ Yer Blues http://flickr.com/photos/snowriderguy/177425082/ Reflect http://flickr.com/photos/myrtepeert/149231528/ IMG_8118 http://flickr.com/photos/tookie/183503927/ Video Walk alone http://flickr.com/photos/pensiero/124403282/ Phases of a Total Lunar Eclipse What You Know About Math? http://flickr.com/photos/fortphoto/183865953/ http://youtube.com/watch?v=-9wq2WAH-Qk Truth Taylor Mali on what teachers make http://flickr.com/photos/nuudls/177668934/ http://www.youtube.com/watch?v=RxsOVK4syxU