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Andrew C. Porter Vanderbilt University Measuring the Content of Instruction: Uses in Research and Practice
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Tools Teacher surveys of instruction Daily logs End-of-semester or end-of-year surveys Content analyses of Standards Tests Curriculum materials Alignment indices—e.g, alignment between assessment and standards
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Content Matrix
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Instruction Vertical and Horizontal Alignment Achievement Assessment Standards District State
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Example Matrices to Measure Alignment.30.1 0 0 0.2.1 0.20.1 0.20.1.2.1 00 AssessmentStandards Topics Cognitive Demand Alignment Index =1 - X=Assessment Cell Proportions Y=Standards Cell Proportions ∑ |X-Y| 2
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Alignment of Assessments with Standards 7th-Grade Math:Goals Study Average Within-State Alignment =.40 Average Between-State Alignment =.39 Average State-Test-to-NCTM Alignment =.39
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Alignment of Instruction with Assessment 8th-Grade Math:SCASS Study Average Within-State Alignment =.22 Average Between-State Alignment =.23 Average State-to-NAPE Alignment =.39
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Average Alignment =.69 Alignment of Instruction with Instruction 8th-Grade Math: SCASS Study
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7th Grade Standards State E State FNCTM
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Quality of Data Response rates Interrater agreement for content analyses Validity of teacher self-report Explaining between-teacher variance in alignment to NAEP Predicting student achievement gains [Note: The need for a reform-neutral language]
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Uses of Tools Describing Instructional Practices Research Serve as dependent variable in teacher decision- making research Describe the implemented curriculum Measure implementation of new curricula Assess the validity of transcript studies Practice Inform teacher reflections on their own instructional practices [Note: Should not be used for teacher accountability.]
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Uses of Tools Describing Instructional Materials Research Research effects of textbooks on instruction Assess the breadth and depth of content in instructional materials Practice Build tests Write content standards Develop national, state, or district indicator systems
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Uses of Indices of Alignment Research Serve as a control variable Serve as a dependent variable Serve as a descriptive variable Practice Align state tests to state standards Align instructional materials to standards or course frameworks
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Increasing Validity and Value content language Getting the content language right Using time samples to describe instruction for an entire school year Replicating the finding that alignment predicts student achievement gains teacher self-report Identifying contexts in which teacher self-report on the content of instruction is more or less accurate interrater agreement Improving the level and consistency of interrater agreement in content analyses distributional properties Understanding the distributional properties of the alignment statistics powerful professional development Building powerful professional development programs for data-based decision making Developing a content language for reading
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Conclusions Much progress has been made in recognizing the importance of instructional content as a variable in education research. Some progress has been made in building tools for including content in education research. There have been several innovative uses of these new tools in both research and practice, and more are on the horizon. But there is much more work to be done.
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7th-Grade Standards--Close View State EState FNCTM Number Sense and Numeration
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7th-Grade Standards--Close View State EState FNCTM Data Analysis and Probability
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Response Rates for Survey Eisenhower Longitudinal Wave 1 75% Wave 2 74% Wave 3 75% Eisenhower Cross-Sectional 72% Reform Up Close 75%
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Interrater Agreement AssessmentMeanRange Goals Study.51.77 to.34 CCSSO Study.47.60 to.37 Standards Goals Study.48.59 to.33 [Note: In each study, there was one outlier rater.]
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Eisenhower Longitudinal Study 42% of variance explained by level (elementary, middle, high school) and subject 27% of variance explained by teachers in the same school 0% of variance explained by between school or between years Longitudinal data on instruction alignment to NAEP yielded:
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Alignment to Predict Achievement Gains
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Index Intercorrelations
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