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Steve Best
          University of Michigan

                  Judith Flowers
University of Michigan-Dearborn
•  Introduction and Background
•  Goals / Program for Teachers Leaders
•  Instructional Focus and Resources for
   Mathematics
    – Tasks, Cases, and Analysis of work 
    – Findings
•  Instructional Focus and Resources for
   Science
    – Addressing PCK and Leadership
    – Findings
•  Focus on developing teacher leaders in high
     needs schools
     Partnerships with local Math/Science
• 
     Centers and STEM Faculty
     Incorporates building/district administrators
• 
     in PD and team planning
     Centralized PD from Collaborative plus
• 
     release time for localized and personal PD
     and implementation of support for colleagues
     Develops capacity to support teachers locally
• 
Michigan Mathematics and Science Teacher Leadership
                                   Collaborative

                                                     Cadre 1
                                              8 teams, 55 participants

                                                      Cadre 2
                                              12 teams, 96 participants
   High Needs
    Schools
   Throughout
    Michigan

 Focus on Middle
Grades to Address
Greatest Problems
  and Allow for
   Adaptation



                                                                      4
•  Make participants aware of leadership roles
   for instructional support and policy
•  Focus on partnerships and networking to
   enhance learning across the state
•  Requires development of general leadership
   skills and content specific considerations of
   mathematics and science to support
   colleagues
•  Teachers must decide “what aspects of
  a task to highlight, how to organize and
  orchestrate the work of the students,
  what questions to ask to challenge
  those with varied levels of expertise,
  and how to support students without
  taking over the process of thinking for
  them and thus eliminating the
  challenge.” 

                                 NCTM, 2000,
         
  p.19
•  Tasks - complex mathematical tasks that
   provoke examination of underlying
   mathematical meanings and concepts
•  Cases - 
    –  accounts of mathematics instructional
       episodes that depict interactions that
       occur when a teacher uses a complex
       mathematical problem in the
       classroom 
    –  samples of student work that reflect
       student thinking.
•  Classroom instruction is generally organized
   and orchestrated around mathematical
   tasks.
•  The tasks with which students engage
   determine what mathematics they learn.
•  Teachers’ facilitation of tasks determine
   how students learn it. 
•  The inability to enact challenging tasks well
   is what distinguished teaching in the U. S.
   from teaching in other countries that had
   better student performance on TIMSS.
•  Emerge from the activity of classrooms
•  Provide opportunities for teachers to
   become involved in critical discussions
   of actual teaching situations quot;
   (Loucks-Horsley, 1998)
•  Promote reexamining our assumptions
   about what “understanding
   mathematics” really means quot;
   (Schifter, Russell, & Bastable, in press)
•  The candy jar shown contains 5 Jolly
          Ranchers (the rectangles) and 13
             Jawbreakers (the circles).




Suppose you have an even larger candy jar with the
same ratio of Jolly Ranchers to Jawbreakers as shown in
the candy jar above. If the jar contains 720 candies, how
many of each kind of candy are in the jar?
•  How do each of these approaches
   support students’ understanding of
   proportionality? 
•  Are some representations or approaches
   more helpful than others in promoting an
   understanding of proportional patterns
   and relationships? 
•  What connections can be made among
   the different strategies and
   representations?
•  What do you think are the
   mathematical goals of the lesson?
   How does the mathematics connect
   to the GLECs?
•  What inferences can you draw about
   students’ understanding or
   misunderstanding?
•  Identify instructional decisions that
   engage students in high level tasks.
• To focus attention on a core
challenge in mathematics
classroom instruction:
maintaining high-level cognitive
demand when using complex
mathematics tasks.
•  LMT items--Proportionality
  •  Modest increase between pre- and post-test
     total scores (27 items)
  •  Increase between pre-and post-test scores
     on 19 of 24 item scores (average increase of
     18%)
  •  No change in scores for 3 items (100% on
     pre- and post-test scores)
•  Full content of test not appropriate
  to PD focus
•  Broad overview is inquiry-based learning
   and developing teacher leaders’
   pedagogical content knowledge
•  Critical issues in middle grades science
   education (based on research and data):
   •  Student-designed investigation
   •  Models in Science
   •  Data Collection and Analysis
   •  Assessment of understanding
•  Content had to vary to address the range
  of middle grades content standards
•  Lessons and samples of student work from
   NSF curriculum projects focusing on inquiry-
   based learning (LeTUS, IQWST)
•  Content targets critical misconceptions for
   students and teachers, and is framed by the
   PCK focus
•  Emphasis on reflection and incorporation of
   classroom artifacts of learning from their
   own instruction
•  PD focuses on one or two content topics,
  but products extend to others
Student
                                                  learning



Method 2      Method 1




      Curriculum         Teachers   Enactment   Understanding
•  Significant (.05) gains in content knowledge
  across science topics and on inquiry skills
•  8% increase in content knowledge
  assessment (46 to 52 out of 62)
•  Very significant increases in perception of
   knowledge/skills about science instruction,
   and ability to guide other science teachers in
   content and inquiry process skill topics
•  Item specific increases in content with high
   misconception rates and focus on
   explanation and use of models
•  More information about the project is
  available on our informational site:
  •  http://mmstlc.net



•  The instructional practices and assessments
  discussed or shown in these presentations
  are not intended as an endorsement by the
  U. S. Department of Education.

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MMSTLC - MSP Presentation

  • 1. Steve Best University of Michigan Judith Flowers University of Michigan-Dearborn
  • 2. •  Introduction and Background •  Goals / Program for Teachers Leaders •  Instructional Focus and Resources for Mathematics – Tasks, Cases, and Analysis of work – Findings •  Instructional Focus and Resources for Science – Addressing PCK and Leadership – Findings
  • 3. •  Focus on developing teacher leaders in high needs schools Partnerships with local Math/Science •  Centers and STEM Faculty Incorporates building/district administrators •  in PD and team planning Centralized PD from Collaborative plus •  release time for localized and personal PD and implementation of support for colleagues Develops capacity to support teachers locally • 
  • 4. Michigan Mathematics and Science Teacher Leadership Collaborative Cadre 1 8 teams, 55 participants Cadre 2 12 teams, 96 participants High Needs Schools Throughout Michigan Focus on Middle Grades to Address Greatest Problems and Allow for Adaptation 4
  • 5. •  Make participants aware of leadership roles for instructional support and policy •  Focus on partnerships and networking to enhance learning across the state •  Requires development of general leadership skills and content specific considerations of mathematics and science to support colleagues
  • 6. •  Teachers must decide “what aspects of a task to highlight, how to organize and orchestrate the work of the students, what questions to ask to challenge those with varied levels of expertise, and how to support students without taking over the process of thinking for them and thus eliminating the challenge.” 
 NCTM, 2000, p.19
  • 7. •  Tasks - complex mathematical tasks that provoke examination of underlying mathematical meanings and concepts •  Cases - –  accounts of mathematics instructional episodes that depict interactions that occur when a teacher uses a complex mathematical problem in the classroom –  samples of student work that reflect student thinking.
  • 8. •  Classroom instruction is generally organized and orchestrated around mathematical tasks. •  The tasks with which students engage determine what mathematics they learn. •  Teachers’ facilitation of tasks determine how students learn it. •  The inability to enact challenging tasks well is what distinguished teaching in the U. S. from teaching in other countries that had better student performance on TIMSS.
  • 9. •  Emerge from the activity of classrooms •  Provide opportunities for teachers to become involved in critical discussions of actual teaching situations quot; (Loucks-Horsley, 1998) •  Promote reexamining our assumptions about what “understanding mathematics” really means quot; (Schifter, Russell, & Bastable, in press)
  • 10. •  The candy jar shown contains 5 Jolly Ranchers (the rectangles) and 13 Jawbreakers (the circles). Suppose you have an even larger candy jar with the same ratio of Jolly Ranchers to Jawbreakers as shown in the candy jar above. If the jar contains 720 candies, how many of each kind of candy are in the jar?
  • 11.
  • 12. •  How do each of these approaches support students’ understanding of proportionality? •  Are some representations or approaches more helpful than others in promoting an understanding of proportional patterns and relationships? •  What connections can be made among the different strategies and representations?
  • 13. •  What do you think are the mathematical goals of the lesson? How does the mathematics connect to the GLECs? •  What inferences can you draw about students’ understanding or misunderstanding? •  Identify instructional decisions that engage students in high level tasks.
  • 14. • To focus attention on a core challenge in mathematics classroom instruction: maintaining high-level cognitive demand when using complex mathematics tasks.
  • 15. •  LMT items--Proportionality •  Modest increase between pre- and post-test total scores (27 items) •  Increase between pre-and post-test scores on 19 of 24 item scores (average increase of 18%) •  No change in scores for 3 items (100% on pre- and post-test scores) •  Full content of test not appropriate to PD focus
  • 16. •  Broad overview is inquiry-based learning and developing teacher leaders’ pedagogical content knowledge •  Critical issues in middle grades science education (based on research and data): •  Student-designed investigation •  Models in Science •  Data Collection and Analysis •  Assessment of understanding •  Content had to vary to address the range of middle grades content standards
  • 17. •  Lessons and samples of student work from NSF curriculum projects focusing on inquiry- based learning (LeTUS, IQWST) •  Content targets critical misconceptions for students and teachers, and is framed by the PCK focus •  Emphasis on reflection and incorporation of classroom artifacts of learning from their own instruction •  PD focuses on one or two content topics, but products extend to others
  • 18. Student learning Method 2 Method 1 Curriculum Teachers Enactment Understanding
  • 19.
  • 20. •  Significant (.05) gains in content knowledge across science topics and on inquiry skills •  8% increase in content knowledge assessment (46 to 52 out of 62) •  Very significant increases in perception of knowledge/skills about science instruction, and ability to guide other science teachers in content and inquiry process skill topics •  Item specific increases in content with high misconception rates and focus on explanation and use of models
  • 21. •  More information about the project is available on our informational site: •  http://mmstlc.net •  The instructional practices and assessments discussed or shown in these presentations are not intended as an endorsement by the U. S. Department of Education.