Developing and Using Measures

Developing and Using Measures - DevelopingMeasuresof...

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http://www.sii.soe.umic h.edu/ 1 Developing Measures of  Mathematical Knowledge for Teaching Developing Measures of  Mathematical Knowledge for Teaching Geoffrey Phelps, Heather Hill, Deborah Loewenberg Ball, Hyman Bass Learning Mathematics for Teaching Study of Instructional Improvement Consortium for Policy Research in Education University of Michigan MSP Regional Conference Boston, MA March 30-31, 2006
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http://www.sii.soe.umic h.edu/ 2 Overview of today’s session Overview of today’s session 1. LMT/SII Measures Development 2. Some Sample Results 3. LMT/SII Measures and Dissemination
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http://www.sii.soe.umic h.edu/ 3 Subtract: What  is  “Content Knowledge for Teaching”?  An  Example From Subtraction What  is  “Content Knowledge for Teaching”?  An  Example From Subtraction 3002 783 -
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http://www.sii.soe.umic h.edu/ 4 Analyzing Student Errors Analyzing Student Errors 3002 783 - 2781 3002 - 783 = 4832
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http://www.sii.soe.umic h.edu/ 5 Analyzing Unusual Student Solutions Analyzing Unusual Student Solutions 3002 783 - 299 2219 12 3 0 0 2 7 8 3 -  3-7-8-1 2 2 1 9
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LMT/SII Measures Development
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http://www.sii.soe.umic h.edu/ 7 Why  Would We Want to “Measure”  Teachers’ Content Knowledge for Teaching? Why  Would We Want to “Measure”  Teachers’ Content Knowledge for Teaching? To understand “what ” constitutes mathematical knowledge for teaching To understand the role of teachers’ content knowledge in students’ performance To study and compare outcomes of professional development and teacher education To inform design of teachers’ opportunities to learn content knowledge
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http://www.sii.soe.umic h.edu/ 8 Measuring Teachers’ Mathematics Knowledge:   Background and History Measuring Teachers’ Mathematics Knowledge:   Background and History Research on teacher behavior Early research on student achievement Proxy measures for teacher knowledge Tests of basic skills 1985 on: “the missing paradigm” pedagogical content knowledge or PCK 1990s: interview studies of teachers’ mathematics knowledge (MSU -- NCRTE)
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http://www.sii.soe.umic h.edu/ 9 Study of Instructional Improvement Study of Instructional Improvement Study of three Comprehensive School Reforms; teacher knowledge a key variable Instrument development goals: Develop measures of content knowledge teachers use in teaching K-6 content for elementary school teachers Not just what they teach - specialized knowledge Develop measures that discriminate among teachers (not criterion referenced) Non-ideological But we faced significant problems….
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http://www.sii.soe.umic h.edu/ 10 Problems As We Began This Work Problems As We Began This Work No way to measure teachers’ content knowledge for teaching on a large scale
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