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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.

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Presentation on theme: "Research on Mathematics Education Grover J. (Russ) Whitehurst, Ph.D. Director Institute of Education Sciences United States Department of Education Archived."— Presentation transcript:

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

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 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

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

15 Curriculum

16 Constructivist Math – 3 States

17 Implementation

18

19 Alignment

20 4th Grade Math Gains: 1992 to 2000 NAEP

21 Elements of State Math Reforms State-wide standards Linked state-wide assessments Accountability for results

22 Putting It Together

23 Classroom-based assessment+ Structured peer feedback+ Tracking- Understanding+ Direct instruction+ - ? Discovery+ - ? Authentic problems+ - ? Work and practice+ Curriculum? Implementation+ System alignment+


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