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Research on Mathematics Education: Impacts, Achievements, and Strategies

Explore Grover J. Whitehurst, Ph.D.'s research on mathematics education, including NAEP achievements, TIMSS proficiency, tracking strategies, structured peer feedback, and curriculum implementation for enhanced conceptual understanding of decimal fractions. Delve into the diverse teaching characteristics, alignment with NAEP, and state math reforms for improved 4th and 5th-grade math education.

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Research on Mathematics Education: Impacts, Achievements, and Strategies

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  1. Research on Mathematics Education Grover J. (Russ) Whitehurst, Ph.D. Director Institute of Education Sciences United States Department of Education

  2. Achievement

  3. NAEP 2000 Proficiency

  4. TIMSS Math 1995

  5. Declared Major 4-year colleges %

  6. Tracking and Grouping

  7. Assessment for Instruction

  8. Structured Peer Feedback

  9. The Math Wars

  10. Conceptual Understanding

  11. Decimal Fractions 509 > 7 .509 < .7

  12. Decimal Fractions 0.509 ____________________ ? 0 1

  13. Checks on Constructivism • Many routes to understanding • Limits on working memory • Inefficiency of discovery • Role of work in learning

  14. Curriculum

  15. Constructivist Math – 3 States

  16. Implementation

  17. Teachers

  18. 5th Grade Math: Tennessee Teacher Effectiveness for 3 Years

  19. 5th Grade Math: Dallas Teacher Effectiveness for 3 Years

  20. Characteristics of teachers • General knowledge and ability • Experience

  21. Characteristics of teachers • Pre-service • Certification, degrees, and coursework • Professional development • Duration/intensity • Content knowledge focus • Coherence • Form • Coaching • Learning communities • Didactic

  22. Characteristics of teachers • The learned professional • The skilled professional • Workforce realities • Out of field teaching • Twice as high in poverty schools • Lower general cognitive skills • Turnover (15.2% per year in high poverty schools – higher for math and science)

  23. Infield teaching

  24. Alignment

  25. NAEP 4th Grade Math Gains: 1992 to 2000

  26. Elements of State Math Reforms • State-wide standards • Linked state-wide assessments • Accountability for results

  27. Putting It Together

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