Before reading (or rereading) the nebulous banter in "State's math decline spurs new solutions" (Oct. 13), consider this:
Instructed by a competent teacher, students master mathematics with alacrity. There is not that much math to learn. The essential pre-K-12 sequence moves through 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 they are eminently manageable.
The problem 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. Education professors are objectionable generally, and mathematics education professors are objectionable specifically.
The "education professor" first appeared on our college and university campuses in the opening decades of the 20th century, as teachers colleges (including the enormously influential Teachers College at Columbia University) replaced normal schools. Finding themselves surrounded by masters of specific disciplines such as mathematics, literature, physics, history, economics, music, etc., 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 productive of some social good; the unifying element was a creed vowing that systematically acquired knowledge and skills were not important, because those can always be looked up. Instead, curriculum should be driven by student and teacher interest.
Many decades followed in which local communities, African-Americans migrating northward, and immigrants seeking a substantive education resisted this anti-knowledge doctrine of education professors. But such a creed was in sync with the zeitgeist of the 1960s. From the 1970s forward it has been dominant among teachers trained in departments, colleges and schools of education.
Education professors are the least regarded by colleagues on any campus — mathematics education professors particularly. Not astute at higher mathematics themselves, they pretend to be grand philosophers urging pre-K-5 students toward "metacognition" and other such hyperbolic sophistry, asserting that calculation is a low-level skill that should be superseded by transcendent conceptualization, group projects, and use of manipulatives.