1. Issues in High School Mathematics Oregon Summer Institute August, 2006 William H. Schmidt Michigan State University

2. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Elementary Students’ Performance on a Fractions Problem

3. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Elementary & Middle School Students’ Performance on a Fractions Problem

4. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Middle School Students’ Performance on an Algebra Problem

5. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Instructional Content Constructs  Curricular Coherence Curricular Structure  Curricular Focus Exposure Time (OTL)  Curricular Rigor Level of Complexity

6. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Top Achieving Countries’ Mathematics Curriculum

7. © 2006 Michigan State University, Center for Research in Mathematics and Science Education 21 States’ Mathematics Standards

8. © 2006 Michigan State University, Center for Research in Mathematics and Science Education High School Students’ Performance on a Functions Problem

9. © 2006 Michigan State University, Center for Research in Mathematics and Science Education High School Students’ Performance on a Mathematics Literacy Problem

10. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Level of First Mathematics Course in High School

11. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Percent of Students Taking Algebra I for the First Time

12. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Impact of When Algebra is Taken

13. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Number of Mathematics Courses Offered in 7 Districts

14. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Number of Course Patterns for Meeting High School Mathematics Requirement in 7 Districts

15. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Mathematics Course-Taking Sequences in District F

16. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Math Course Taking Patterns in District H

17. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Percent Teaching Time in Ten Broad Areas of Mathematics in District H

18. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Math Performance in District H

19. © 2006 Michigan State University, Center for Research in Mathematics and Science Education 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 Minimal Standards?

20. © 2006 Michigan State University, Center for Research in Mathematics and Science Education 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 Minimal Standards?

21. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Less than 20 % of ALL Students Less than 2 % of Voc/Tech Students About 10 % of General Academic Students About 30 % of College Preparatory Students College Preparatory Standards? One course in each: Mathematics, Biology, Chemistry, Physics Pre-Calculus/Biology/Chemistry/Physics

22. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Percent of First Year College Students in 2-year and 4-year Institutions Requiring Remediation

23. © 2006 Michigan State University, Center for Research in Mathematics and Science Education Those who require remediation in college often fail to earn a degree

24. Many High School Graduates Report Gaps in Their Preparation