Instructed by a competent teacher, students
master mathematics with alacrity. There
is not that
much math to learn. The essential pre-K12
sequence moves through concepts pertinent to addition, subtraction,
multiplication, division, fractions, decimals, percentages, ratios,
proportions, tables, charts, and graphs, proceeding then to algebra I,
geometry, algebra II, trigonometry, statistics, and calculus. Students of a competent teacher easily master
the fundamental sequence (addition through graphs) and also have little
difficulty with algebra I and geometry. Concepts
in the remaining algebra II through calculus sequence are more abstract and
require heightened critical pondering but if proceeding on a strong foundation
are eminently manageable.
The problem that our preK 12 students
have in succeeding in mathematics is that they are taught by too many incompetent
teachers produced in our departments, colleges, and schools of education. Understand these observations first as a wide-ranging
problem, then as the more specific dilemma of note:
Education professors are objectionable generally and
mathematics education professors are objectionable specifically.
The education professor first
appeared on our college and university campuses as teachers colleges (including
the enormously influential Teachers College, Columbia University) replaced
normal schools in the opening decades of the 20th century. Finding themselves surrounded by masters of specific
disciplines (e.g., mathematics, English literature, physics, history,
economics, music), education professors had to make a professional place for
themselves. Over the course of
succeeding decades, education professors appropriated the name “progressive,” applying
the term to an array of approaches variously asserted to be “child-centered”
and to be productive of some social good;
the unifying element in the various doctrines purported to be “progressive”
was a creed vowing that systematically acquired knowledge and skill sets are
not important, because those can always be looked up. Instead, curriculum should be driven by
student and teacher interest.
Many decades ensued in which local
communities, African Americans migrating northward, and immigrants seeking a
substantive education resisted the anti-knowledge doctrine of education
professors. But such a creed was in sync
with the Zeitgeist of the 1960s and from the 1970s forward has been dominant
in the approaches of teachers trained in departments, colleges, and schools of
education.
Education professors are the least
regarded by colleagues on any college or university campus. Mathematics education professors are
particularly offensive. Not astute at
higher mathematics themselves, they pretend to be grand philosophers urging PreK-5
students toward “metacognition” and such hyperbolic sophistry, asserting that
calculation is a low-level skill that should be superseded by transcendent
conceptualization, group projects, and use of manipulatives. All of this is to make mathematics education
professors feel themselves to be profound intellectuals; meanwhile, preK-12 students fail to master addition,
subtraction, multiplication, division, fractions, decimals, percentages,
ratios, proportions, graphs, tables, and charts--- and thus to lack the foundation necessary to
proceed to the algebra through calculus sequence.
Now go back to or proceed for the
first time to Golden’s article. You’ll
find the same usage of jargon and touting of approaches, now appearing with
more high-tech references, that have emanated from the education professorial
contingent since the 1920s and took hold from the 1970s forward. The problem with preK-12 education generally
and mathematics education specifically is that the teachers entering our
classrooms from college and university training programs never believed in the
Minnesota State Academic Standards or the Minnesota Comprehensive Assessments
(MCAs) meant to assess reading, science, and mathematics skills in the manner
of the best education systems of the world (those of East Asia and
Finland). Our teachers of mathematics
persisted with inefficient and misguided approaches conveyed to them by
mathematics education professors, with predictably deleterious results.
Minnesota Education Commissioner Mary
Cathryn Ricker has deep ties to teacher training programs and to Education
Minnesota and local affiliates, with a particularly firm professional connection
to the national American Federation of Teachers (AFT). She can always be counted on to create a
confusion of verbiage drawing attention away from knowledge and skill mastery toward
more illusory and less measurable results than those effectively tested by
objective state and national assessments.
Understanding the
insidious ideology of education professors and their acolytes, including Ricker
and most of those quoted by Golden, is essential to understanding why we get
such wretched academic results year after year and why these results will
continue to inflict grave harm on our precious young people until we get around
to logical impartation of those knowledge and skill sets that students will
need for college and university matriculation, for a multitude of careers, for
life.
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