I hate to get started on this
topic simply because I have absolutely no sense of humor about it all. I consider it idiotic that mathematics proficiency
is not mandatory through Grade Twelve.
In fact I think both mathematics and English literature needs to be mandatory. Of course the details do matter, but that we
can save for another day.
However, I know that I have no
difficulty convincing parents that this needs to be true. I am sorry, some folks are going to not get
an A level pass and will have to accept a deficient pass by stuffing the course
load with material clearly less demanding.
The real problem is with the teachers
and more specifically the dominance of women teachers in our high schools who
are tasked with the teaching of mathematics.
Far too many of these teachers simply do not meet the necessary standard
in the knowledge of mathematics. This
may sound old fashioned and I may be wrong as hell and I hope I am, but the
fact remains that what I have discerned as natural math talent is gender biased toward men and it requires enthusiastic
male teachers with the talent to properly bring it out in boys particularly.
Please do not throw statistics
regarding numbers of folks who can pass tests.
Weak teachers have actually alienated some of the best math talent
available and it is a subject that can not afford a hit or miss approach. It is demandingly accumulative, unlike
anything else. It is not good enough to
learn how to pass tests brilliantly, it necessary to develop the underlying
talent and it is there we have a huge hole.
The solution I suspect that will succeed
and the one that will be impossible to sidestep is to demand that all high
school teachers will have completed successfully two first year courses in Calculus
and Algebra at the current standard.
This means that even a grade nine teacher will be conversant in the full
language of mathematics and have some decent skill in it. Teachers have been allowed to game the system
to dodge their own weaknesses in mathematics and this has to end.
While we are at it, make chess
mandatory for all grade nine students with the bottom third expected to repeat
the chess class the next year with the new crop of grade nines. That way a quarter of the class is already
familiar with the game and can help teach the rest. Mathematics and chess are
pattern training for the mind and important.
Everything else either builds somewhat on those skills or is memory
training.
Why Math Matters
If one manages to graduate from high school without the rudiments of
algebra, geometry and trigonometry, there are certain relatively high-paying
careers probably off-limits for life — such as careers in architecture,
chemistry, computer programming, engineering, medicine and certain
technical fields. For example, one might meet all of the physical requirements
to be a fighter pilot, but he’s grounded if he doesn’t have enough math to
understand physics, aerodynamics and navigation. Mathematical ability helps
provide the disciplined structure that helps people to think, speak and write
more clearly. In general, mathematics is an excellent foundation and prerequisite
for study in all areas of science and engineering. So where do U.S. youngsters
stand in math?
Drs. Eric Hanushek and Paul Peterson, senior fellows at the Hoover Institution,
looked at the performance of our youngsters compared with their counterparts in
other nations, in their Newsweek article, “Why Can’t American Students
Compete?” (Aug. 28, 2011), reprinted under the title “Math Matters” in the Hoover Digest (2012). In
the latest international tests administered by the Organisation for Economic
Co-operation and Development, only 32 percent of U.S. students ranked
proficient in math — coming in between Portugal and Italy but far behind South
Korea, Finland, Canada and the Netherlands. U.S.
students couldn’t hold a finger to the 75 percent of Shanghai students who tested proficient.
What about our brightest? It turns out that only 7 percent of U.S. students
perform at the advanced level in math. Forty-five percent of the students in Shanghai are advanced in math, compared with 20 percent in
South Korea and Switzerland and 15 percent of students in Japan , Belgium ,
Finland , the Netherlands , New
Zealand and Canada .
Hanushek and Peterson find one bright spot among our young people.
That’s Asian-American students, 52 percent of whom perform at the proficient
level or higher. Among white students, only 42 percent perform math at a
proficient level. The math performance of black and Hispanic students is a
disaster, with only 11 and 15 percent, respectively, performing math at the
proficient level or higher.
The National
Center for Education
Statistics revealed some of the results of American innumeracy.
Among advanced degrees in engineering awarded at U.S. universities during the
2007-08 academic year, 28 percent went to whites; 2 percent went to blacks; 2
percent went to Hispanics; and 61 percent went to foreigners. Of the advanced
degrees in mathematics, 40 percent went to whites; 2 percent went to blacks; 5
percent went to Hispanics; and 50 percent went to foreigners. For advanced
degrees in education, 65 percent went to whites; 17 percent went to blacks; 5
percent went to Hispanics; and 8 percent went to foreigners. The pattern is
apparent. The more rigorous a subject area the higher the percentage of
foreigners — and the lower the percentage of Americans — earning advanced
degrees. In subject areas such as education, which have little or no rigor,
Americans are likelier — and foreigners are less likely — to earn advanced
degrees.
In a New York Times article — “Do We Need
Foreign Technology Workers?” (April 8, 2009) — Dr. Vivek Wadhwa of
the Pratt School
of Engineering at Duke University said “that 47 percent of all U.S. science and engineering workers with
doctorates are immigrants as were 67 percent of the additions to the U.S. science
and engineering work force between 1995 to 2006. And roughly 60 percent of
engineering Ph.D. students and 40 percent of master’s students are foreign
nationals.”
American mathematic proficiency levels leave a lot to be desired if
we’re to maintain competitiveness. For blacks and Hispanics, it’s a tragedy
with little prospect for change, but the solution is not rocket science. During
my tenure as a member of Temple
University ’s faculty in
the 1970s, I tutored black students in math. When they complained that math was
too difficult, I told them that if they spent as much time practicing math as
they did practicing jump shots, they’d be just as good at math as they were at
basketball. The same message of hard work and discipline applies to all
students, but someone must demand it.