Comparison Districts Used
I have specifically chosen to focus on the 11 districts chosen by the School Committee this year as our comparison districts. I have also noted whether these districts are part of the MSAN network and whether have been identified as leading high schools by Newsweek and/or US News and World Report). The US News and World Report list specifically only includes schools in which low income, Black, and Hispanic students are performing better than the state average for such students, and thus schools on this list seem to be doing a pretty job of challenging ALL students (not just white and/or wealthy kids).
These districts are: Brookline, MA (MSAN, US News); Chapel Hill, NC (MSAN, Newsweek, US News), Evanston, IL (MSAN, Newsweek, US News); Framingham, MA (MSAN, Newsweek), Montclair, NJ (MSAN, Newsweek), Newton, MA (Newsweek, US News), Northampton, MA;
Oak Park, IL (MSAN, Newsweek); Princeton, NJ (MSAN, Newsweek, US News); Shaker Heights, OH (MSAN, Newsweek); White Plains, NY (Newsweek).
The "how are we doing subcommittee" gathered selected these districts to be somewhat similar to Amherst in terms of our population and aspirations. Four of the districts are largely wealthy (Brookline, Newton, Oak Park, Princeton), three have substantially more low income students than Amherst (Evanston, Shaker Heights, White Plains), and four of these districts are quite similar to Amherst in terms of the percentage of low income students (Chapel Hill, Framingham, Montclair, Northampton).
Questions Asked
I contacted each of the districts (the superintendent, director of curriculum, or math heads, depending on the district) and asked the following questions:
1. At what grade does math grouping occur, and what factors are used to determine grouping?
2. What percent take 8th grade algebra (and of these, what percent take 8th grade algebra and are then ready to move on to geometry in 9th)?
3. Do you offer AP statistics?
4. What percent of students take calculus?
I received responses from most districts (at least on some, if not all of these questions), and these answers are summarized in this report. I have included information about Amherst first in each response to help with making comparisons.
1. At what grade does math grouping occur, and what factors are used to determine grouping?
Amherst begins homogenous grouping at Grade 8 based on whether students choose to do extensions (additional homework as well as in class instruction and assessments), scores on these assignments, test data, and teacher recommendations.
Most schools begin homogenous grouping at Grade 6, which is when middle school begins in most districts (Chapel Hill, Evanston, Montclair, Oak Park, Princeton, White Plains). There were four exceptions to this pattern: Shaker Heights groups students as of 5th grade (they have a separate 5th/6th school), Newton and Northampton group students as of 7th grade, Framingham keeps all students in heterogeneous math classes through 7th grade (with the exception of about 2% of the students who take algebra in 7th grade), and Brookline maintains heterogeneous grouping until 9th grade (however, this district uses a rigorous curriculum in which all students take 8th grade algebra and then move to 9th grade geometry).
In addition, some schools provide opportunities for homogenous math grouping earlier than middle school. For example, Chapel Hill provides both heterogeneous and homogeneous grouping in math in elementary school, depending on the material, as does Shaker Heights.
2. What percent of students take 8th grade algebra (and of these, what percent take 8th grade algebra and are then ready to move on to geometry in 9th)?
In Amherst, roughly 35% of 8th graders take algebra, and most of these take 9th grade geometry. Two to three % of 7th graders take algebra, and then geometry in 8th grade.
These districts vary considerably in terms of the percent of students who take 8th grade algebra and are ready to move on to 9th grade geometry.
In some districts, most or all 8th graders take algebra and move on to geometry in 9th grade (80% in Chapel Hill; 80 to 85% in Princeton; 100% in Brookline).
In other districts, approximately half of 8th graders take algebra and then move on to geometry (50% in Framingham; 55% in Newton).
In still other districts, fewer than half of students take 8th grade algebra and move on to 9th grade geometry (34% in Evanston, 25% in Oak Park, 30% in Shaker Heights, 33% in White Plains).
In several districts, a relatively sizeable proportion of 7th graders take algebra and then as 8th graders take geometry or algebra II (10 to 15% of kids in Evanston; 15 to 20% in Princeton; 13 to 15% in Chapel Hill).
Information on the percentage of students in 8th grade algebra was not available from Montclair and Northampton.
3. Do you offer AP statistics?
Amherst Regional High School does not offer AP Statistics.
All of these comparison districts offer AP statistics. Some students at these schools take both AP Calculus and AP Statistics, and others choose one of these two courses.
4. What percent of students take calculus?
In Amherst, about 90 students (of 300) take a calculus course (30%).
Most schools report that between 30 and 50% of students take calculus (Brookline: 35%-38%; Chapel Hill: 40 to 50%; Evanston: 28%; Framingham: 30 to 40%; Newton: 53 to 55%; White Plains: 20%). However, in all of these other districts, students could take calculus in 12th grade but instead opt for AP Statistics (as repeatedly noted in the responses).
Information on the % of students who take calculus was not available from Princeton, Montclair, Shaker Heights, Northampton, and Oak Park.
Summary
This comparison yielded several important findings.
Most school districts (6 of the 11) start math grouping at 6th grade (the start of middle school in most districts). Two districts group at 7th grade, and 1 district groups at 5th grade. Amherst and Framingham are the only school districts that provide no substantial math grouping until 8th grade (with the exception of Brookline, in which all 8th graders take algebra and move on to 9th grade geometry). Amherst does, however, group a very small percentage of students in 7th grade: 2 to 3% of students skip 7th grade math altogether and move into honors algebra.
Grouping is determined, in virtually all schools other than Amherst, by some combination of math grades, teacher recommendations and state/local testing scores (with teachers monitoring the student progress to help in placement especially in moving students up to a more challenging course). Amherst is the only district that also makes placement decisions based on whether students choose to participate in instruction on advanced material and perform additional homework as well as their scores on that homework.
The percentage of 8th graders taking algebra in Amherst compares favorably or at least equally to some of these districts (Evanston, Oak Park, Shaker Heights, White Plains). However, our percentage is lower than that in the over half of these districts (Brookline, Chapel Hill, Framingham, Newton, Princeton).
Amherst is the only district that does not offer AP Statistics.
The percentage of our students who graduate having had calculus compares favorably or at least equally to many of these comparison districts (Evanston, White Plains), although is lower than that in other districts (Brookline, Chapel Hill, Framingham, Newton).
Although one explanation for the overall lower math performance in Amherst (including the percent who take 8th grade algebra, the percent who take calculus in high school, the absence of an AP statistics course) compared to many of these districts is that our district is demographically different (e.g., poorer), the data does not tend to support this explanation.
Chapel Hill and Framingham are very similar to Amherst in terms of the percent of low income students, but both have a higher portion of kids taking 8th grade algebra and both of these districts offer AP Statistics.
Of the districts which are most similar to Amherst in terms of the percentage of students finishing 8th grade algebra (Evanston, Shaker Heights, White Plains), three of these districts have a higher % of low income students than Amherst.
In sum, these findings suggest that a smaller proportion of students in Amherst take 8th grade algebra than students from other districts who serve similar populations. To me, this raises the issue of whether the "extensions" model is a better approach to preparing students to take 8th grade algebra than the grouping approach used by most other districts prior to 8th grade.