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Enhancing Mathematics Education: Global Perspectives and Curriculum Standards

This article examines the performance of elementary and high school students in fractions, algebra, and functions. It delves into curricular coherence, rigor, and cognitive complexity in mathematics education across different countries and U.S. states. The study analyzes the level of first mathematics courses in high school, course patterns, and the number of mathematics courses offered. Assessing the impact of minimal standards and teacher coverage of mathematics topics, it highlights disparities in student preparation and the need for effective remediation programs in colleges.

rhonda-winters
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Enhancing Mathematics Education: Global Perspectives and Curriculum Standards

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  1. Education in a Global ContextFebruary 28, 2008William H. SchmidtUniversity Distinguished ProfessorMichigan State University

  2. Elementary Students’ Performance on a Fractions Problem

  3. Elementary & Middle School Students’ Performance on a Fractions Problem

  4. Middle School Students’ Performance on an Algebra Problem

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

  6. Top Achieving Countries’ Mathematics Curriculum

  7. 21 U.S. States’ Mathematics Curriculum

  8. High School Students’ Performance on a Functions Problem

  9. High School Students’ Performance on a Mathematics Literacy Problem

  10. Level of First Mathematics Course in High School

  11. Percent of Students Taking Algebra I for the First Time

  12. Amount of Mathematics Across Grades 7-12

  13. Number of Mathematics Courses Offered in 19 Districts

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

  15. Diagram of Mathematics Course-Taking Sequences in District F

  16. Minimal Standards? • One course in each: Mathematics, Biology, Chemistry, Physics • AlgebraII/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

  17. Minimal Standards? • One course in each: Mathematics, Biology, Chemistry, Physics • AlgebraII/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

  18. Teachers Coverage of Mathematics Topics in Two Types of Schools

  19. Mean Level Performance on the Mathematics Knowledge Scale Scores Across the Six Countries

  20. Mean Percent of the Topics Covered in the Preparation Program in Each Country

  21. Percent of First Year College Students in 2-year and 4-year Institutions Requiring Remediation

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

  23. Many High School Graduates Report Gaps in Their Preparation

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