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Published byArron Parrish Modified over 9 years ago
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Research on Mathematics Education Grover J. (Russ) Whitehurst, Ph.D. Director Institute of Education Sciences United States Department of Education Archived Information
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Achievement
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NAEP 2000 Proficiency
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TIMSS Math 1995
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Declared Major 4-year colleges %
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Tracking and Grouping
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Assessment for Instruction
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Structured Peer Feedback
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The Math Wars Constructivist ApproachesSkills-based Approaches Knowledge is constructedKnowledge is imparted Children should develop their own understanding Children should master standard facts & concepts Authentic problemsSkill-relevant problems Intrinsically motivatedExtrinsically motivated
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Conceptual Understanding
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Decimal Fractions 509 > 7.509 <.7
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Decimal Fractions 0.509 ____________________ 0 1 ?
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Checks on Constructivism Many routes to understanding Limits on working memory Inefficiency of discovery Role of work in learning
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Curriculum
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Constructivist Math – 3 States
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Implementation
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Alignment
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4th Grade Math Gains: 1992 to 2000 NAEP
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Elements of State Math Reforms State-wide standards Linked state-wide assessments Accountability for results
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Putting It Together
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Classroom-based assessment+ Structured peer feedback+ Tracking- Understanding+ Direct instruction+ - ? Discovery+ - ? Authentic problems+ - ? Work and practice+ Curriculum? Implementation+ System alignment+
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