By Professor Doom
Angry student: “Why do I have to learn
algebra? I’m only going to be teaching eight year olds!”
Me: “Because the parents of eight year olds
want their teachers to know more than an eight year old.”
--I used to
get Education majors quite often in my math courses, before they became
cloistered into special “Math for Education Majors” courses. I heard complaints
similar to the above many, many times.
As I sit
recovering from yet another crushing surgery (13 new surgical scars since last September, if anyone's counting), a reader sent me an article
from 2005. So, it’s dated, but highlights how looking at everything
through a racist perspective makes it impossible to see the truth. The author
of the articles certainly notes the problems I've identified time and again…but
perpetually misses the issue:
Racial
Equity Requires Teaching Elementary School Teachers More Mathematics ----Patricia Clark Kenschaft
I can’t believe
I’m actually saying an article with “Racial Equity” in the title actually has
many good observations in it…but it does. Offsetting my shame is how the author
doesn’t realize the value of what she sees. Let’s get started.
So the author
asks black people with degrees in mathematics what can be done to fix the
“under-representation” (citation needed by the article, none given) of blacks
in mathematics, and one answer comes back strongly:
“Teach
mathematics better to all American children. The way it is now, if children
don’t learn mathematics at home, they don’t learn it at all, so any ethnic
group that is underrepresented in mathematics will remain so until children are
taught mathematics better in elementary school.”
The author is a
math teacher herself, and understands the above to mean that children aren’t
being taught mathematics well in elementary school. Being in math, and not in
Education, she addresses the problem in the obvious way: going to the
elementary schools and seeing with her own eyes. She spoke to actual elementary
school teachers:
I have
found them eager and quick to learn—and appallingly ignorant of the most basic
mathematics.
Appallingly
ignorant. Gosh, that’s a clear observation. Why couldn’t the author ask how it
was so that the teachers were appallingly
ignorant of what they were supposedly teaching children? The teachers had
real college degrees, after all, in Education.
One study of nine hundred Texas school districts
revealed that the large disparities in achievement between black and white
students were almost entirely accounted for by socioeconomic status and
differences in the measurable qualifications of their teachers.
Yes, the
qualifications of those teachers. Namely, teachers with Education degrees are
suspect (there can be some good ones, though), while teachers with degrees in
actual subject matter are far less so (there are some bad ones, of course).
It’s a shame the author didn’t narrow down the qualifications along obvious
lines, and instead chose to be blinded by racial concerns.
Now, teachers
aren’t hired racially (bear with me), so where is the racial inequality coming
from? The author smashes her toe into it, and limps on without being curious
why she was limping:
It has been
my observation that the reason that scores are higher in white districts is
that some parents teach their children mathematics at home, and these children
teach many of the others. It has appeared to me that the teachers are no better
prepared in the high-scoring districts.
So, the “white
districts” have the same fake Educationist teachers as elsewhere, but the
parents who knew what was going on, at least before Common Core, could go
around the teachers and just teach the material to their own kids, and the kids
who weren’t lucky enough to have such parents could learn from friends who did. Common Core, by utterly warping how mathematics is taught, will destroy this option for parents (by design?).
But the issue
here isn’t the racial inequality, it’s that there was a way around the terrible
Education teachers. She demonstrates just how little these teachers know by
quizzing them:
…I asked
the question again. “What is the area of a rectangle that is x by y?”
The
teachers were very friendly people, and they know how frustrating it can be
when no student answers a question. “x plus y?” said two in the front
simultaneously. “What?!!!” I said, horrified. Then all fifty of them shouted
together, “x plus y.”
--I have a similar anecdote. Even if I didn’t, the above rings very true for me,
as I had some friends, one a valedictorian high school graduate, call me to ask
their “math expert” friend about the area of a rectangular piece of real estate
they were looking at…they weren’t sure how to do it, but knew the length and
width, figuring (rightly) it would be helpful information.
Time and again she sees with her
own eyes why the students aren’t learning math: the teachers don’t know any
math. And time and again she ties it to racism.
Educationist:
“We’re offering a new math course, taking out the math they don’t need, like
squares and rectangles.”
--I’m
serious, the course was proposed and offered.
It’s the
ignorance, honest. So ask the dang question already: how are these people who
are ignorant becoming qualified to become teachers?
The author does
the right thing again, however, and verifies herself that the kids can learn,
by doing the teaching herself.
Its
principal invited me to consider that school “my school”. He and the teachers
really wanted to help the students. Its students had a median achievement in
mathematics of about the 25th percentile on the “Iowas”, one of the lowest
levels in Newark. I am now convinced that its rank was due to the fact that the
principal did not pressure the teachers to cheat in any way on standardized
tests. When I told him this years later, his eyes widened. He was president of
the principals’ union. “What? You are saying…” I nodded. Since then I have read
numerous reports of systemic cheating on standardized tests and other forms of
deception by school administrators,….
--while not
the focus of this article, I remind the gentle reader that the fraud going on
in standardized testing in public schools is massive, and not restricted to
Newark. There’s a reason why the bureaucrats want those standardized tests:
they’re very easy to cheat on.
Since she knows what she’s doing,
she’s successful as a teacher. She teaches the kids subtraction…it only takes a
few minutes, but they’d never been exposed to the concept at such a young age
before, because the usual teacher was a bit shaky on the subject.
…half the
children passed the subtraction part of the November standardized test—without
any reinforcement from her. [The usual teacher] had never had a child pass it
before. The crucial role of mathematical knowledge on the part of the teacher
was becoming obvious to me…
Obvious, yes, but
then the author gets distracted yet again:
The
children were all African American. The school is in one of the worst
neighborhoods of our country’s poorest city. There were no greens growing
within a block of the school…
Yes, certainly,
poverty and quality of life are issues but…it’s about the teachers, like the author just observed before looking through the racial lens, who must
get college degrees to teach, and get those degrees not in an academic subject
but instead in Education.
Admin:
“Congratulations to the Education Department, for once again having the highest
retention rates and highest GPAs on campus, as well as the greatest growth over
all our departments.”
--I saw
similar kudos and awards from admin many times when I was at a state
university. Admin never thinks twice how their awards system really isn’t
helping education. The growth, incidentally, was because every student flunking
out in every other major was being herded into the “easy A” Education programs.
I don’t want our students to fail but…should our teachers really be the weakest
academics we can get?
It isn’t simply
that the teachers we’re putting in the schools are too weak to teach
subtraction, even addition is a confusing topic for them:
“In 1999
U.S. cars achieved an average of 28.11 mpg, but light trucks were rated a mere
20.3 mpg. Their mileage was 23.8 mpg altogether. What proportion of American
vehicles were light trucks in 1999?”
Answer by
the teacher of your children: “‘Altogether’ means add, so the mileage
altogether must be 48.41 miles per gallon.”
I tried to explain but to no avail…
Seriously, by
tying the problem to racism, a huge issue is being overlooked: the children
can’t possibly learn from these people. Skin color is irrelevant.
Rather than focus
on how Education departments, in the name of growth, have lowered standards and
reduced requirements so that someone completely ignorant of math can teach
children math, the author keeps going back to racism with a bit of virtue-signalling:
My own
interest in elementary school mathematics education grew out of my equity
concerns. Ever since my great-great-grandfather came north from a slave-holding
family to fight on the Northern side of the Civil War, my family has been
active in race relations…
I grant that slavery indirectly forced black
parents to rely on our flawed education system to learn what the white parents
learned but…how about we stop talking about the Civil War and start identifying
real problems with our critically flawed Education departments and, vastly more
importantly, fixing them?
I propose
stopping with the failed Education degree idea. Start hiring teachers with
actual subject knowledge, instead of, at best, the focus
on ideology which an Education degree offers. Instead of this simple
approach, the author, blinded by the lens of racism, proposes other actions
instead:
1.
Structural
Change: The mathematical communities need to collaborate with anyone else who
will join the effort to lobby strenuously for the need for radically improved
teacher knowledge. The major argument is that while once only a few people
(white men?)…
I’ll just stop at the suggestion of white men being the issue. Yes, we
need radically improved teacher knowledge. We can do so easily in my one step
solution.
2.
Individual Actions:
Those who teach in institutions that certify elementary school teachers can
work to make sure adequate specific courses are provided for them…
Um…those “adequate specific
courses” are already provided in the math departments. Education departments
got rid of them, replacing with ideology and “math for education majors”
courses. Again, my one stop solution would not require individual action, just
common sense.
3.
Remedial
Work: Until the current cohort of elementary school teachers retire, the mathematical
competence of today’s children will require that their teachers receive
continual remedial programs.
Oh, no, not more remediation.
That’s a disaster, too. I do concede that many of our current teachers are
simply untrained (but absolutely degreed!), but having seen the immense failure
of remediation in college, I just do not think we need to double down on
failure.
Do the suggestions even stop here?
No, the list…
is far from
an exhaustive list of either people or activities; it merely indicates examples
of good beginnings.
Yes, we could do
all that, and after a decade a more we’ll get nowhere. Alternatively, start
hiring subject degree’d people to teach subjects, and watch as, which will be a
surprise to Educationists, the kids actually learn the subject, instead of our
current system where the teachers are only trained in Education, and thus so
incompetent that generally the best a school can hope for is to commit fraud on
the standardized tests.
Anyone looking at
today’s system can see how easy the solution is, just as this article, from
over a decade ago, could have easily seen the problem and solution.
Or could if it
didn’t keep trying to tie racism into everything.
This comment has been removed by the author.
ReplyDeleteYou should check out my posts on Common Core and fractions; in school, I remembered my teachers always stressing when a fraction hit the board.
ReplyDeleteI'm now 75, but I recall that my best high school math teacher was a former engineer who worked in the Army's rocket program. My second best math teacher had a degree in agricultural science (whatever that is).
ReplyDeleteEven those with a subject degree are not necessarily prepared to teach outside their subject area. My daughter has a degree in English, a MA in something or other, and a PhD in Language and Literacy. The only math she took after high school was a year of statistics while working on her PhD. She's bright enough to get her PhD for free but don't ask her to teach math.
ReplyDeleteHey, he probably knew my dad!! Dr. Aden Meinel. Was your school in Texas or Arizona?
ReplyDeleteMy father was in the Naval Rocket Program, he went to Germany to extract the German rocket scientists in that cave outside Jena.
DeleteEvery high school in the country requires passing a class in Algebra to graduate. Every 5th grade class requires a basic understanding of fractions to pass.
ReplyDeleteDon't expect a college class to make up for 12 years of mis-, mal-, non-, or un-learning. They have been taught not to learn.
Any person who completes a high school education should be able to teach elementary age students anything. After all - they already learned it themselves, and little kids want to learn.
Diplomas are handed out like candy now.
ReplyDelete