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 transcript:

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

Achievement

NAEP 2000 Proficiency

TIMSS Math 1995

Declared Major 4-year colleges %

Tracking and Grouping

Assessment for Instruction

Structured Peer Feedback

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

Conceptual Understanding

Decimal Fractions 509 > <.7

Decimal Fractions ____________________ 0 1 ?

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

Curriculum

Constructivist Math – 3 States

Implementation

Alignment

4th Grade Math Gains: 1992 to 2000 NAEP

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

Putting It Together

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

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