Education in a Global Context April 24, 2008 William H

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Education in a Global Context April 24, 2008 William H Education in a Global Context April 24, 2008 William H. Schmidt University Distinguished Professor Michigan State University

Elementary Students’ Performance on a Fractions Problem

Elementary & Middle School Students’ Performance on a Fractions Problem

Middle School Students’ Performance on an Algebra Problem

Instructional Content Constructs Curricular Coherence Curricular Structure Curricular Focus Exposure Time (OTL) Curricular Rigor Level of Cognitive Complexity

Top Achieving Countries’ Mathematics Curriculum

21 U.S. States’ Mathematics Curriculum

High School Students’ Performance on a Mathematics Literacy Problem

Level of First Mathematics Course in High School

Percent of Students Taking Algebra I for the First Time

Amount of Mathematics Across Grades 7-12

Number of Mathematics Courses Offered in 19 Districts

Number of Course Patterns for Meeting High School Mathematics Requirement in 19 Districts

Diagram of Mathematics Course-Taking Sequences in District F

One course in each: Mathematics, Biology, Chemistry, Physics Minimal Standards? One course in each: Mathematics, Biology, Chemistry, Physics Algebra II/Biology/Chemistry/Physics Less than 30 % of ALL Students Less than 5 % of Voc/Tech Students About 15 % of General Academic Students About 40 % of College Preparatory Students

One course in each: Mathematics, Biology, Chemistry, Physics Minimal Standards? One course in each: Mathematics, Biology, Chemistry, Physics Algebra II/Biology/Chemistry/Physics Less than 20 % of ALL Black Students Less than 5 % of Black Voc/Tech Students About 11 % of Black General Academic Students About 32 % of Black College Preparatory Students

Teachers Coverage of Mathematics Topics in Two Types of Schools

Those who require remediation in college often fail to earn a degree

Many High School Graduates Report Gaps in Their Preparation