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March 20, 2005
1. Background on integrated (constructivist) math
2. Is integrated math right for your child?
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1. Background on integrated (constructivist) math
Integrated math has been foisted on our schools by federal
money and policies through a system of national standards (a Federal
Curriculum). Integrated, or constructivist, math is finding its way into
many unwatchful private school and home school curricula, as well. A few
examples below illustrate how the integrated math system has been
implemented:
- In 1989 the National Council of Teachers of
Mathematics (NCTM) published its Curriculum and Evaluation Standards
for School Mathematicsan extensive set of mathematics standards for
grades K-12 which de-emphasized memorization of number facts, the
learning of proofs, and algebraic skills, but encouraged the use of
calculators and discovery learning.
- Since 1990, the National Science Foundation [funded with federal
money] has awarded more than $83 million to programs that developed
textbooks promoting approaches that are favored by the National Council
of Teachers of Mathematics (NCTM).
["An
A-Maze-ing Approach To Math," by Barry Barelick]
- The National Science Foundation (NSF)
awarded millions of dollars in grant money to state boards of education
whose math standards aligned with NCTM math. These state standards are
enforced through the required tests of No Child Left Behind.
- The federally developed, funded, and mandated National Assessment of
Educational Progress (NAEP) -- the so-called Nation's Report Card --
bases its assessments on NCTM math standards (integrated math).
Consequently, the NAEP produces pressure on states to adopt integrated
math standards.
The NSF awards millions of dollars of federal money to individual
states for " teacher enhancement"
grants and systemic change initiatives of integrated math programs
and standards adoptions. For example, the University of Minnesota alone
has received $2.25 million since 1997 to create an
"infrastructure for the development of a systemic
implementation in all schools by all teachers in the Greater
Minneapolis/St. Paul area and beyond" of curriculum based on the
NCTM (integrated math) standards. NCTM math is also called
"Standards Based Curricula."
- "Those who will, from the beginning, fully implement such a
curriculum, will attend a two-week intensive summer workshop on both
content and pedagogy related to the new curricula followed by academic
year staff development and mentoring...A parallel set of workshops will
prepare other teachers to select and implement portions of a Standards
Based Curricula and prepare to move to the full implementation stage
in succeeding years ... These mentor/leaders will be the core of
the ongoing implementation of curricula in partner school districts. A
major goal of this project is to develop and implement a replicable model
for large scale selection and implementation of major curriculum reform.
The model is based on long-term, purposeful and planned professional
development for each 7-12 participating mathematics teacher, and on the
development of long-range, skilled leadership teams in every
school. "
[
NSF
Award Abstract - #9618741, emphasis added.]
See
testimony
to members of the Minnesota House Education Committee on January 24th, as
EdWatch worked with others to counter the Minnesota Department of
Education's behind the scenes efforts to implement integrated math
assessments in place of the what should have been more traditional math
assessments. (See EdWatch alert of December,
2004.)
For more detailed information about integrated math and why it is being
implemented, see the book AMERICA
'S SCHOOLS: The Battleground for Freedom.
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2. Is integrated math right for your child?
By Matt Abe
Published in the
Plymouth Sun Sailor, 3/17/2005
This school year, the Wayzata School District began a comprehensive review
of its mathematics curriculum for grades K-12. This is part of a continual
effort to review and improve teaching and learning in the district, and to
meet the high expectations of parents, state and
federal governments, post-secondary education and employers.
How well is Wayzata preparing its students for college-level math and
beyond?
Do standardized test scores tell the whole story?
What changes if any should the district make to the way it teaches math?
K-12 math education in Minnesota is at a crossroads. New academic standards
in math have been adopted by the state of Minnesota. By
state and federal law, schools and school districts are held accountable to
these standards through a series of assessments that
are aligned to the standards. In all grades, Wayzata uses the
"integrated math" approach advocated by the National Science
Foundation (NSF) and the National Council of Teachers of Mathematics (NCTM).
One of Wayzata's curriculum review tasks is to find out how closely the
district's curricula align with the new standards and make any
needed adjustments.
What is integrated ("reform") math? It is a way of teaching math
in which traditionally separate subject areas, such as algebra and
geometry, are integrated into one course of study; and it integrates math
with non-math subjects and real-world experiences.
Current Wayzata parents may recognize that integrated math also expects
students to discover mathematical formulas and principles on
their own, has students work in groups and direct their own work, and
requires an August trip to the local office supply store for a
standard-issue calculator. Textbooks are de-emphasized or not used at all.
In contrast, traditional math is offered in public school districts, private
schools, home schools, and college-preparatory charter
schools such as Veritas Academy, which opens this fall. Integrated and
traditional math options are offered in the Robbinsdale school
district, and the Minnetonka district is replacing its integrated math with
a traditional math curriculum. It offers the familiar
discrete algebra, geometry, trigonometry, pre-calculus, and calculus
courses, which build knowledge sequentially. It is the math
instruction that most parents remember from their high school days.
Does integrated math align with the new Minnesota academic standards for
math?
When the Profile of Learning graduation standards were repealed, most of the
integrated math went out with it. The new academic standards contain a
balance of computing and context.
Is integrated math right for Wayzata? The district reports that 86 percent
of the Class of 2004 went on to a two- or four-year college.
How well have Wayzata grads fared at college-level math? The district has
yet to formally study this question, but some anecdotal evidence is coming
to light.
In 2005 testimony before the Minnesota House of Representatives Education
Policy and Reform Committee, Wayzata mom Lynn Handberg compared the
experiences of her "traditional math" daughter (Class of 2001)
with her "integrated math" daughter (Class of 2003). Both were
good students at WHS.
"[My older daughter] went through algebra, geometry, algebra II,
trigonometry, pre-calculus and calculus with As and Bs. She had a
great math experience in a traditional math setting...," she said.
"During [my younger daughter's] sophomore year in college (fall of
2004), she took two weeks of algebra, did not understand it, and
talked to the head of the math department to see if she could switch out of
the class. He told her...she wasn't taught enough algebraic
concepts during high school math to understand college algebra ..."
Wayzata 2003 grad Kevin Nelson dropped out of integrated math in middle
school to take traditional math classes at the University of
Minnesota. "I remember talking to some of my friends who were stuck in
integrated math ... In their entire unit on quadratics, they did
not learn the quadratic equation. I don't know what they could have possibly
learned since quadratics was built on that one single
equation."
Dr. Lawrence Gray, head of the University of Minnesota School of
Mathematics, said in 2003 that university students who had taken
integrated math were not learning enough algebra to prepare them for college
math and were one to two years below grade-level in their
math skills.
Wayzata Public Schools should survey Wayzata graduates about their college
math experiences, and seriously consider adding back a
traditional math option. Public input and questions may be directed to Jane
Sigford, executive director of Curriculum and Instruction,
Wayzata Public Schools and to the Wayzata Public Schools Board of Education.
Matt Abe of Plymouth is a parent of two students in Wayzata Schools. He
edits a Web site called Minnesota Education Reform News at
www.edreformnews.info.
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