The National Center for Education Statistics recently released a study examining the relationship between the rigor in Algebra I and Geometry courses high school students take and student test performance in those areas on the 12th grade National Assessment of Educational Progress (NAEP). This study was spurred by positive findings from the 2005 NAEP High School Transcript study, which found that in 2005 high school students earned more math credits, took higher level math courses, and obtained higher math course grades than in 1990.
While it is certainly good news that more students are taking more math courses at higher levels and earning higher grades, it’s not clear whether students are taking courses that are truly rigorous or whether or not this uptick in math course enrollment is resulting in more student math achievement. This study aims to answer that question. The study was unable to actually observe classroom instruction in order to measure rigor; however, the researchers gained access to math textbooks used in 550 public schools, analyzing the rigor of the problems in the textbooks to determine how demanding classes are. Previous studies have shown that math textbooks are closely related to math classroom instruction and serve as a good proxy for actual course rigor. After coding the textbooks to determine whether or not they represented basic, intermediate, or advanced levels of rigor, the study matched those rigor levels to math NAEP scores to see if there’s a relationship.
The overwhelming finding is there is a clear relationship between classroom rigor and NAEP scores. Students in rigorous Algebra I courses and Geometry courses scored higher on NAEP than students in basic or intermediate courses. On the other hand, the study also finds that the labeling of a course (i.e.-whether a course is regular or honors) often has little relationship to the true rigor offered in a course.
Here’s a detailed breakdown of the findings:
- Graduates in rigorous Algebra I courses and Geometry courses score higher on NAEP.
- Algebra I rigor level with corresponding NAEP scores (10 points is roughly equivalent to a year’s worth of learning):
- Beginner: 137 points
- Intermediate: 143
- Rigorous: 146
- Geometry rigor level with corresponding NAEP scores:
- Beginner: 148
- Intermediate: 152
- Rigorous: 159
- School course titles often do not truly represent the level of rigor a course offers.
- 73% of students who took an honors Algebra I course actually received an intermediate Algebra I course.
- In fact, a higher percentage of students in a regular class received a rigorous course than those in courses labeled “honors”
- Regular title, but curriculum was rigorous: 34%
- Honors title, but curriculum was rigorous: 18%
- In Geometry classes, only 33% of courses title honors were actually rigorous, while 62% were intermediate, and the rest were basic.
- Generally, about two-thirds of an Algebra I or Geometry course covers core content; the rest is a review of lower level material or a preview of higher level material.
- Most students, regardless of race or course title, took an intermediate level Algebra I course.
- 54% of high school students took an intermediate Algebra I course, while 14% had a beginner course, and 32% had a rigorous course.
- Most students, regardless of course title, took an intermediate level Geometry course.
- Classes titled “Informal”: 54% had an intermediate course (30% basic, 14% rigorous)
- Classes titled “Regular: 68% had an intermediate course (11% basic, 19% rigorous)
- Classes titled “Honors”: 62% had an intermediate course (4% basic, 33% rigorous)
- While racial differences weren’t present in differences in rigor level for all other courses, racial differences were present for Honors Geometry rigor levels.
- 37% of white students had a rigorous Honors Geometry course, while 21% of Black graduates and 17% of Hispanic graduates had a rigorous Honors Geometry course.
- While a higher level of rigor in a Algebra I or Geometry course resulted in higher NAEP scores, white graduates still scored higher than Black or Hispanic graduates on the Algebra I and Geometry portion of NAEP, regardless of the rigor level of their math test:
- White students rigor level of Algebra I and Geometry course and corresponding NAEP scores:
- Algebra I
- Basic: 142
- Intermediate: 148
- Rigorous: 151
- Geometry
- Basic: 155
- Intermediate: 159
- Rigorous: 165
- Algebra I
- Black students rigor level of Geometry course and corresponding NAEP scores:
- Algebra I
- Basic: 128
- Intermediate: 129
- Rigorous: 134
- Geometry
- Basic: 120
- Intermediate: 129
- Rigorous: 133
- Algebra I
- Hispanic students rigor level of Geometry course and corresponding NAEP scores:
- Algebra I
- Basic: 127
- Intermediate: 132
- Rigorous: 132
- Geometry
- Basic: 140
- Intermediate: 138
- Rigorous: 138
- Algebra I
- White students rigor level of Algebra I and Geometry course and corresponding NAEP scores:



