Algebra failure rates rose post-policy for above-norm students (~3 percentage points) but fell for below-norm students (~4 points); classroom environment and peer ability explained most of the above-norm rise but not the below-norm fall¶

Claim · All claims
Evidence · 1 study (2 entries) · causal r2 · q3
Currency · newest study 2010 · checked against its sources 2026-10-19 (automated, 2 of 2 entries) · not reviewed by a person

Subclaims¶

q3 i? Above-norm students' failure rates increased post-policy by about 3 percentage points despite test score improvements; students just below the cutoff had failure rates lower by 4 percentage points. Classroom variables explained most of the above-norm rise (reduced to one point, not significant), while the below-norm decline grew larger once they were controlled. → Takako Nomi 2010 q3 i? Students were more likely to fail in classes with greater academic demand and more disciplinary problems, and less likely to fail with more interactive pedagogy once demand was controlled. → Takako Nomi 2010 (2)

Evidence¶

Takako Nomi 2010¶

Takako Nomi, Elaine M. Allensworth. (2010). The Effects of Tracking with Supports on Instructional Climate and Student Outcomes in High School Algebra. Consortium on Chicago School Research, University of Chicago. https://consortium.uchicago.edu/publications/effects-tracking-supports-instructional-climate-and-student-outcomes-high-school

q3 · i? · causal · r2

Log-odds failure models with percentage-point interpretations, two-cohort discontinuity sample. Including classroom variables reduced the above-norm increase to one percentage point, no longer significant (0.08 logits, p>0.1). For below-norm students the decline in failure grew once the worse behavioural climate and higher academic demand of their classes were controlled: their failure rates fell five to six percentage points more than those conditions would predict, so classroom environment does not explain their decline.

"For above-norm students, failure rates increased post-policy by about 3 percentage points despite improvements in test scores (Model 1). In comparison, students just below the policy cut off score had lower failure rates post-policy, by 4 percentage points, compared to their pre-policy counterparts"

Takako Nomi 2010 (2)¶

Takako Nomi, Elaine M. Allensworth. (2010). The Effects of Tracking with Supports on Instructional Climate and Student Outcomes in High School Algebra. Consortium on Chicago School Research, University of Chicago. https://consortium.uchicago.edu/publications/effects-tracking-supports-instructional-climate-and-student-outcomes-high-school

q3 · i? · causal · r2

Model 2 of the failure regressions. Interactive pedagogy related to lower failure only after controlling for academic demand; failure was unrelated to the percent of classmates taking support courses (Model 5).

"below-norm and above-norm students were more likely to fail in classes with greater academic demand and especially when in classrooms with more students with disciplinary problems."

Discussion¶

Learner Variables¶

• General Cognitive Ability — moderator: an instructional effect differs with it
• Algebraic Thinking — moderator: an instructional effect differs with it

Related Claims¶

• Between- or within-class homogeneous ability grouping has a small negative effect on low-ability primary students but no effect on other students — the general claim this finding bears on, with the studies behind it
• Chicago's algebra-for-all policy led schools to create more mixed-ability math classrooms when eliminating remedial classes — related
• Below-norm students' pass rates improved post-policy because their skills relative to classroom peers improved under sorting — related
• Below-norm students' algebra test scores improved despite having lower-skill peers post-policy, consistent with additional supports offsetting compositional decline — related
• Chicago's double-dose algebra policy raised algebra test scores for both low-skill and high-skill students — related
• Double-dose algebra improved test scores but did not reduce algebra failure rates — related
• Policy effects on grades and failure rates differed by incoming ability: most below-norm students' grades improved slightly, but the very lowest-ability students' algebra grades declined — related
• Double-dose algebra policy increased academic demand for both high- and low-skill students, with below-norm students' gains not attributable to peer ability changes — related
• The double-dose algebra policy adversely affected non-targeted above-norm students: their algebra grades declined and failure rates increased post-policy — related
• In one Chicago study, above-norm students' post-policy algebra test gains were partly explained by higher peer ability and by having classmates who took support algebra — related
• Below-norm students' test scores improved post-policy (0.88 points total), and the relationship between classroom average ability and their scores was no longer statistically significant post-policy — related
• Evidence on the policy's effects on 10th-grade geometry outcomes was inconsistent across groups and years — related
• The double-dose policy led schools to track algebra classes by entering math skills, making classrooms more homogeneous in ability — related
• For targeted students overall, the policy produced only negligible changes in algebra grades and failure rates despite test-score gains — related
• Fish pond effects: above-norm students became more likely to fail algebra when their skills were low relative to classroom peers after sorting — related
• Pre-policy, classroom average ability related positively to test scores but positively to failure, with effects strongest for high-ability students — related
• The double-dose policy affected non-targeted high-ability students: their algebra test scores improved while their grades declined — related
• Sorting by ability affects grades and pass rates differently from test scores: high-skilled students' grades and pass rates decline while low-skilled students' grades improve — related
• When classes are sorted by skill level, low-skilled students are at higher risk of being in disruptive classrooms, weakening their instructional environment — related
• Average test scores are higher when classes are sorted by skill, driven by large learning gains for high-skilled students and slightly lower scores for low-skilled students — related
• Only 64% of Black Michigan students passed Algebra I by 10th grade in 2021-22, below the 74% statewide average, while white students were the sole group above it at 78% — related
• In a 700-student open-ended systems programming project graded by specification document rather than code, in-person test failure rates rose and inspected code failed to meet specifications — related
• Double-dose algebra was discontinued before its benefits were documented, though subsequent research found long-term benefits — related
• Double-dose algebra improved algebra test scores for targeted students just below the cutoff, with a larger post-policy gain than for students just above the cutoff — related
• Failure rates increased and grades declined for higher-skill students in single-period algebra after the policy — related
• Double-dose algebra substantially increased interactive pedagogy for low-skill students (.55 SD, p<.001), unexplained by classroom compositional changes — related
• Interactive pedagogy increased nearly half a standard deviation for below-norm students in homogeneous double-dose algebra classes — related
• Alternate Average Adult tests are misplaced: 50% of AI 1 failures and 46% of AI 2 failures came from students with IQ above 110 — related