What Can We Conclude About Student

1
What Can We Conclude About Students Conclusions
on the Mathematics WASL?

• Lynda Eich
• OSPI Mathematics Initiative

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Goals for This Session

• Participants will
• Review students responses from conclusion and
  support problems
• Determine strengths and weaknesses of those
  responses
• Generate ways to help students make and support
  conclusions

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What is Mathematics?

• Mathematics is a language and science of patterns
• Mathematical content must be embedded in the
  mathematical processes
• For all students to learn significant
  mathematics, content must be taught and assessed
  in meaningful situations

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Washington States Mathematical Reasoning
Standards

• Mathematical reasoning is the ability to
• Analyze information-graphs, tables, diagrams
• Draw Conclusions
• Draw and support conclusions
• Evaluate procedures and conclusions
• Verify Results
• Justify results
• Evaluate reasonableness of results
• Validate thinking using models, patterns,
  relationships, counter-examples

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Mathematics EALRs/Indicators 
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Mathematics EALRs/Indicators 
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(No Transcript)
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Conclusion and Support

• Do this 7th grade released item

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Conclusion and Support

• This is what some student responses are like

10
Conclusion and Support

• Critique student responses and look for evidence
  for the following questions.
• What do students need to do in order to create a
  conclusion?
• What information needs to be included in order
  for students to support their conclusions?

11
Conclusions and Support

• Do this 6th grade sample test item

12
Conclusion and Support

• Critique student responses and look for evidence
  for the following questions
• What do students need to do in order to create a
  conclusion?
• What information needs to be included in order
  for students to support their conclusions?

13
Conclusions and Support

• Do this 8th grade sample test item

14
Conclusion and Support

• Critique student responses and look for evidence
  for the following questions
• What do students need to do in order to create a
  conclusion?
• What information needs to be included in order
  for students to support their conclusions?

15
Conclusion and Support

• In conclusion, what can we do to help students
  draw conclusions and support them?

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Support and ConclusionResources

• Released and practice test items from Washington
  State Assessment system
• http//www.k12.wa.us/assessment/WASL/Mathematics/d
  efault.aspx
• Practice/ Sample Tests
• Released Items

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Conclusion and SupportResources

• Activities from National Council of Teachers of
  Mathematics Principles and Standards Reasoning
  and Proofwww.nctm.org

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Support and ConclusionsResources

• Illuminations http//illuminations.nctm.org/
• Nrich www.nrich.maths.org
• Balanced Assessment http//balancedassessment.co
  ncord.org/