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Yan Zhang
EDCI 5372
Literature Review
 Purpose: provide assessors with students’ conceptual
  knowledge and reasoning during problem solving
  (Huinker, 1993)
 Conflict in paper-and-pencil test:
   students get the right answer, but have basic
    misunderstanding
   students make computational errors, but reveal a better
    conceptual understanding of procedure (Labinowicz,
    1987)
Literature Review (cont.)
 Advantages (Huinker, 1993) :
    delve deeply into student’s thinking and reasoning
    better determine their level of understanding
    diagnose misconceptions and missing connections
    assess their verbal ability to communicate mathematical
     knowledge
Literature Review (cont.)
 Questioning techniques (Ralph, 1999a, 1999b) :
   preparing important questions ahead of time
   delivering questions clearly and concisely
   posing questions to children that stimulate thought
   giving children enough time to think about and prepare
    an answer
Literature Review (cont.)
 Three different levels of questioning techniques
 (Moyer and Milewicz, 2002)
   checklisting: jump from one question to another with
    little regard to student’s response
   instructing rather than assessing: use leading questions
    that directed student’s response, or they disregard the
    strategy of questioning and attempt to teach the
    solution
   use probing and follow-up questions: competent
    questions that specifically and consistently probe
    student’s answer
Clinic Interview Reflection
 Interviewee: a 7th Grade student
 Purpose: assess student’s understanding of perimeter
  and area
 Process:
   describe perimeter and area in his own word
   find the perimeter and area for two different rectangles
   build a new rectangle with different perimeter/ area but
    same area/ perimeter
   make judgment on a statement: the rectangle with large
    area also will have a large perimeter
Clinic Interview Reflection (cont.)
 Student’s strength:
    confident of mental arithmetic skills
    develop appropriate strategies for different problems
    good understanding of perimeter and area
 Student’s weakness:
    lack of verbal ability to communicate mathematical
     knowledge
    find factors
    Using mathematical tools to work through problems
Clinic Interview Reflection (cont.)
 Self-reflection on design and process of the interview
    I interrupted the student several times during the
     interview. When the student had difficulty to express
     himself, I did not give him enough time to think and
     tried to provide the answer.
    The entire interview looks more like a teaching process
     instead of assessing. Although the student’s response
     indicated that his understanding was quite decent, it
     seemed that I leaded him to the right answer step by
     step.

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Yan Zhang Diagnostic Interview

  • 2. Literature Review  Purpose: provide assessors with students’ conceptual knowledge and reasoning during problem solving (Huinker, 1993)  Conflict in paper-and-pencil test:  students get the right answer, but have basic misunderstanding  students make computational errors, but reveal a better conceptual understanding of procedure (Labinowicz, 1987)
  • 3. Literature Review (cont.)  Advantages (Huinker, 1993) :  delve deeply into student’s thinking and reasoning  better determine their level of understanding  diagnose misconceptions and missing connections  assess their verbal ability to communicate mathematical knowledge
  • 4. Literature Review (cont.)  Questioning techniques (Ralph, 1999a, 1999b) :  preparing important questions ahead of time  delivering questions clearly and concisely  posing questions to children that stimulate thought  giving children enough time to think about and prepare an answer
  • 5. Literature Review (cont.)  Three different levels of questioning techniques (Moyer and Milewicz, 2002)  checklisting: jump from one question to another with little regard to student’s response  instructing rather than assessing: use leading questions that directed student’s response, or they disregard the strategy of questioning and attempt to teach the solution  use probing and follow-up questions: competent questions that specifically and consistently probe student’s answer
  • 6. Clinic Interview Reflection  Interviewee: a 7th Grade student  Purpose: assess student’s understanding of perimeter and area  Process:  describe perimeter and area in his own word  find the perimeter and area for two different rectangles  build a new rectangle with different perimeter/ area but same area/ perimeter  make judgment on a statement: the rectangle with large area also will have a large perimeter
  • 7. Clinic Interview Reflection (cont.)  Student’s strength:  confident of mental arithmetic skills  develop appropriate strategies for different problems  good understanding of perimeter and area  Student’s weakness:  lack of verbal ability to communicate mathematical knowledge  find factors  Using mathematical tools to work through problems
  • 8. Clinic Interview Reflection (cont.)  Self-reflection on design and process of the interview  I interrupted the student several times during the interview. When the student had difficulty to express himself, I did not give him enough time to think and tried to provide the answer.  The entire interview looks more like a teaching process instead of assessing. Although the student’s response indicated that his understanding was quite decent, it seemed that I leaded him to the right answer step by step.