EdWatch
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Severe damage will occur to
K-12 math education from the new testing guidelines now being promulgated
by the Minnesota Department of Education. If left unchecked, these new
guidelines will seriously retard the ability of Minnesota high school graduates
to succeed at college. Some background: In 2003 the Minnesota Legislature repealed the Profile of
Learning. One of the reasons it did so was because constructivist math was
proving to be a disaster. Dr. Lawrence Gray, Director of Undergraduate
Mathematics Education at the University of Minnesota, has stated that reform
math (also known as integrated or constructivist math] was depriving Minnesota
students of a good math education. Specifically Dr Gray said that: In 2003, the Minnesota Legislature also adopted new math
standards. These new standards removed constructivist math from the state
requirements and substituted traditional math in its place. EdWatch played an
important role in this change. Dr. Gray and many others were pleased. Does this
mean the battle is over? Unfortunately, it does not. Guidelines for new assessments: This is happening even though federal law (NCLB) requires
that state tests be aligned with the state standards. (Bureaucrats can be quite
clever in circumventing state and federal laws.) Since the tests largely drive
the curriculum, Dr Gray and others believe these new tests will have a damaging
effect on math education in Minnesota. Dr. Bert Fristedt, Professor Emeritus of Mathematics at the
U of M, in an e-mail dated 12-1-04, said that the Department’s new test
guidelines should be opposed because the old Profile math (constructivist math)
does the following: 1. Contains a “doctrinaire view in favor of group-learning” over individual
learning.
December 2, 2004
When Minnesota adopted the Profile of Learning in the mid
90’s, it also adopted a new approach to teaching mathematics. This new approach
is called “integrated math,” “new math,” “constructivist math,” and other
things. Critics sometimes call it “postmodern math.” This constructivist math is
in contrast to “traditional math,” also referred to as “computational
math.”
1. University students who had taken reform math in K-12
were at a huge disadvantage in being able to succeed in university-level
mathematics.
2. Students taking reform math were not learning enough
algebra to prepare them for college math.
3. Many university students who took reform math were
dropping out of math classes when they discovered they would have to take
remedial math to succeed at the university.
4. High school students taking reform math were one to two
years below grade-level in their math skills.
The Minnesota Department of Education is currently
formulating guidelines for the new state tests (MCAs) in mathematics. To the
horror of Dr. Gray and others, the guidelines for the new tests are based on
constructivist math (the old Profile math), not traditional math. In some cases,
the benchmarks that were adopted by the legislature and included into
Administrative Rule have actually been rewritten in the new guidelines to change
the intent of the benchmarks. In some cases the guidelines restrict the scope of
questions so that they lower the assessment level of the benchmarks by a grade
or two. The new assessments guidelines also over-use calculators.
2. “Algebraic skills and arithmetic skills” become “casualties” of math
education.
3. Tries to be “skill-oriented without [teaching] the mathematical
reasoning.”
4. Has the effect of a “bias against students not in the main-stream
culture.”
Professor Fristedt also agrees with the criticism of constructivist math described by Dr. Gray as outlined above. Fristedt and Dr. Gray were both influential in the writing of the revised math standards in 2003. Fristedt and Gray, along with all other opponents of constructivist math, however, were excluded from the process when the Department of Education wrote its guidelines for the new tests. The Department obviously has an agenda, an agenda being carried out contrary to federal law, contrary to the standards adopted by the Legislature and contrary to the wishes of the Minnesota public.
Professor Fristedt stated in an e-mail dated November 27th:
It is my opinion that the draft test specifications put out by the Minnesota Department of Education on September 20, 2004 are a disaster for mathematics education in K-12 in Minnesota…it is quite clear that the agenda was far different from alignment with the Spring 2003 math standards adopted into Rule by the Minnesota legislature and governor.
About one-third of Minnesota K-12 schools teach constructivist math. Two-thirds teach traditional math. A few schools offer both. The 2003 state education standards adopted by the legislature were having the effect of moving schools back to traditional math. The new test guidelines, if left in place, can be expected to reverse that direction.