feature
Denominator
the Least Common
The effort to push underprepared students into academic courses
has driven the rigor out of many textbooks and classrooms
ILLUSTRATION BY JAMES STEINBERG
A
Nation at Risk argued that much of America’s decline in academic
achievement could be traced to the “cafeteria-style curriculum” or
“curricular smorgasbord” offered to high-school students. The
report said that the presence of so many nonacademic courses in the curriculum—such as preparation for adulthood, off-campus work experiences, and physical and health education—was compromising America’s
commitment to high-quality academics. This, the National Commission
on Excellence in Education, was the result of society’s placing a “multitude
of often conflicting demands” on the schools, which were asked to solve “personal, social, and political problems” that the home and other social institutions were failing to fix.
Risk charged the larger society with the sin of burdening schools with
so many nonacademic responsibilities. Yet it appears at least as likely that
the schools eagerly took on these burdens.
Bureaucracies like to grow, to widen their mission, to take on more duties
and thereby expand their budgets and influence. That’s as true of public
schools as of any other agency. The “comprehensive” high school, for example, could grow ever more comprehensive by offering more courses, many
of them nonacademic.
This was not just a bureaucratic imperative; it also followed the
thinking of progressive educators, who viewed the 19th-century high
www.educationnext.org
by
WILLIAMSON
M. EVERS
AND
PAUL
CLOPTON
?
STILL AT RISK
S P R I N G 2 0 0 3 / E D U C AT I O N N E X T
73
school as elitist, dominated by the wishes
of college officials. Progressive educators
believed that in order to make high schools
more “democratic” they needed to provide
most students a different curriculum, one
that included a multitude of practical,
problem-solving courses that were supposedly “relevant.”
Once progressive educators gave up academic content as the basis for the curriculum, they were prey to all sorts of crackpot
fads. They made pseudoscientific predictions about children’s futures. They decided
schools had to help students adjust to adulthood. They tried to reshape the curriculum
to advance utopian political ideas. Under
the influence of progressive educators, the
curriculum was filled with watered-down
and nonacademic courses.
The New Basics
The commission’s antidote to the curricular smorgasbord was to recommend that
all high-school students be required to take
a set of courses called the “New Basics.”
The New Basics required every prospective graduate to take a minimum of four
years of English, three years of mathematics, three years of science, three years of
social studies, and half a year of computer science. Collegebound students were also advised to study a foreign language
for at least two years.
High schools responded favorably to this admonition, at
least superficially. The share of students completing the New
Basics rose from 2 percent in 1982 to 29 percent in 1998 (see
“
Once progressive educators
gave up academic content as the
basis for the curriculum, they
were prey to all sorts of crackpot
fads.
”
Figure 1). If you put aside the computer-science requirement,
the increase was from 10 percent to 44 percent.
Completion rates for specific mathematics and science
courses increased dramatically as well. The percentage of high-
74
E D U C AT I O N N E X T / S P R I N G 2 0 0 3
school graduates who took Geometry increased from 47 percent to 70 percent; the rate for Algebra II rose from 40 percent
to 62 percent; and for Precalculus, it went from 6 percent to 23
percent. Less substantial increases were seen in Chemistry,
Physics, and Biology (see Figures 2 & 3 in Caroline Hoxby,
“Reforms for Whom?” p. 47).
Such notable gains in academic course taking should have
resulted in impressive gains in achievement. However, as Paul
Peterson shows (see “Ticket to Nowhere,” p. 39), long-term
trend data from the National Assessment of Educational
Progress (NAEP) reveal only small increases in mathematics
and science scores after 1982, when scores for 17-year-olds
reached their nadir.
Even more worrisome is the fact that these achievement levels on NAEP are considerably lower than would be expected
from students who are taking rigorous academic classes. Consider the performance description for students scoring 350 on
the NAEP mathematics scale—a score well above the average
achievement level:
Students at this level can apply a range of reasoning skills to
solve multi-step problems. They can solve routine problems
www.educationnext.org
feature
RIGOR EVERS
involving fractions and percents, recognize properties of basic
geometric figures, and work with exponents and square roots.
They can solve a variety of two-step problems using variables,
identify equivalent algebraic expressions, and solve linear
equations and inequalities. They are developing an understanding of functions and coordinate systems.
This definition does not describe work at the Precalculus
level or even the Algebra II level; it more closely resembles the
less difficult content from Algebra I and Geometry.Yet even the
average among top-quartile students in the United States has
never reached this level.
The relative weakness of even our most advanced students
is confirmed by scores on the advanced physics and mathematics components of the 1995 Third International Mathematics and Science Study (TIMSS), which is administered only
to students who have taken these courses. In physics the
United States scored significantly lower than 14 of the 15
participating countries; in advanced math U.S. scores were significantly lower than those of 11 of 15 participating countries.
On neither exam was the U.S. score significantly higher than
that of any other nation. Nor did we register any improvement
from the Second International Mathematics Study, conducted
in the early 1980s.
Diluting the Solution
These divergent trends—simultaneous increased enrollment
in academic courses and stagnant achievement—suggest an
hypothesis: in order to accommodate a wider range of student
abilities and previous attainments in academic courses, the
content of those courses has been diluted. This may be the
inevitable consequence of policies that stress uniform academic treatments for all students.
First consider evidence from studies of curriculum and
textbooks. The serious deterioration of textbook content
appears to have begun in the 1960s. The late Jeanne Chall
and Sue S. Conard studied widely used textbooks covering
the period from 1945 to 1975 and noted,“On the whole, the
later the copyright dates of the textbooks for the same
grade, the easier they were, as measured by indices of readability level, maturity level, difficulty of questions, and
extent of illustration.”
There is reason to believe that curriculum materials have
continued to weaken since the publication of Risk.The so-called
“math wars” were prompted by the release of newer texts seen
as grossly inadequate because of their deemphasis of rich content. The unchallenging curriculum stimulated the growth of
parent-led protest organizations such as HOLD and Mathematically Correct. Many of the offending new mathematics programs were sponsored by, of all institutions, the National Science Foundation.
www.educationnext.org
For instance, one of these programs, the Core-Plus
Mathematics Project, was found by a reviewer to have “generated massive resentment among the students who were
the experimental subjects during early implementation.
Many students found themselves ill prepared for college,
even though they came from highly educated homes and had
a high likelihood of success.” Just one example of the sheer
“
Many of the offending new
mathematics programs were sponsored by, of all institutions, the
National Science Foundation.
”
vacuity of Core-Plus is that it had no section at all on factoring polynomials.
Another measure of the degree to which high-school academic courses have been watered down is provided by achievement scores in districts and schools where more children are
taking academic courses. Consider data on algebra enrollments
and achievement from California.There is a negative partial correlation of .67 between enrollment and achievement among individual schools in 8th-grade algebra, meaning that high enrollment percentages in algebra were correlated with lower scores.
This was after controlling for students’ mean achievement in
7th-grade math the previous year, which establishes that the
correlation is not simply the result of diluting the test-taking
pool with more students.
This suggests that the more students a school enrolls in algebra, the more school officials feel the need to use curriculum
materials with less challenging content. Flooding academic
courses with underprepared students may have had the net
effect of driving the rigor out of these courses.
The best course of action is for high schools to reinstate
truly rigorous academic courses, but to differentiate among students with respect to the extent and rate of progress through
the sequence of courses. For example, multiple levels of diplomas could be offered based on courses completed, although this
progress should still be verified by external exams, as in the
International Baccalaureate program. This would be a major
improvement over the other form of differentiated curriculum
(rigorous content for the college-bound, nonacademic content
for the rest) that A Nation at Risk warned against, while also
respecting the fact that not all students can handle the same
lockstep schedule of rigorous courses.
–Williamson M. Evers is a research fellow at the Hoover Institution. Paul
Clopton is a biomedical research statistician with the U.S. Department of
Veterans Affairs.
S P R I N G 2 0 0 3 / E D U C AT I O N N E X T
75