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The Case Against Algebra
HughPickens.com writes: Dana Goldstein writes at Slate that political scientist Andrew Hacker proposes replacing algebra II and calculus in the high school and college with a practical course in statistics for citizenship. According to Hacker, only mathematicians and some engineers actually use advanced math in their day-to-day work and even the doctors, accountants, and coders of the future shouldn't have to master abstract math that they'll never need. For many math is often an impenetrable barrier to academic success. Algebra II, which includes polynomials and logarithms, and is required by the new Common Core curriculum standards used by 47 states and territories, drives dropouts at both the high school and college levels. Hacker's central argument is that advanced mathematics requirements, like algebra, trigonometry and calculus, are "a harsh and senseless hurdle" keeping far too many Americans from completing their educations and leading productive lives. "We are really destroying a tremendous amount of talent—people who could be talented in sports writing or being an emergency medical technician, but can't even get a community college degree," says Hacker. "I regard this math requirement as highly irrational." According to Hacker many of those who struggled through a traditional math regimen feel that doing so annealed their character while critics says that mathematics is used as a hoop, a badge, a totem to impress outsiders and elevate a profession's status. "It's not hard to understand why Caltech and M.I.T. want everyone to be proficient in mathematics. But it's not easy to see why potential poets and philosophers face a lofty mathematics bar. Demanding algebra across the board actually skews a student body, not necessarily for the better."
How about a course in logic, particularly Boolean logic? I agree, very few people really need to understand logarithms or even polynomials. But learning how to think, and solve problems is important.
The only reason why maths is hard is adults keep telling children that it's hard.
Those who do not learn from commit history are doomed to regress it.
It sounds like they only want to replace the higher level algebra stuff, so the base would still be there as a necessary foundation for studying statistics.
This sounds like a great idea. Statistics are regularly, routinely abused to mislead people. As a life skill for the general population, statistics is going to be much more useful than advanced algebra or calculus.
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SJW, n: "Someone I don't like, and by the way I'm a fuckwit" - AC
Very well said. There is a tremendous bias against jobs that involve working with your hands and far too many people are encouraged to "go to college" in order to obtain some apocryphal "white collar" career. I would say that a lot of the IT problems many companies have originate with this blue collar bias, with the belief that IT employees are somehow not quite white collar.
I had a conversation with the maintenance supervisor at a client who told me about his son. In the top 10% of his class in high school, he told the school counselor he didn't want to go to college. The counselor requested a meeting with his dad and basically beat him up for not making him go to college (the kid ended up getting some kind of 2 year drafting education, and works for a kitchen equipment maker travelling to job sites to review kitchen construction plans to make sure the planned designs and installations will work -- the guy said he makes close to 100k).
As far as I can tell, all the "go to college" rhetoric has done is build college administration empires, make oodles of money for the student loan industry and probably dumb down traditional academic courses that vocationally-minded students have no interest in.
And what's the end game, exactly? $100k in a debt so you can make coffee? We've flooded the market with half-educated college graduates aspiring to a mythical middle class lifestyle that's becoming increasingly unobtainable even by well educated graduates.
One thing that kind of counts against a lot of skilled trades is the abysmal, old-school hostile management-labor relationship. I worked closely with journeyman electricians as my last job and while the benefits they had seemed great, the work environment seemed really unpleasant. Draconian, authoritarian management schemes, forced overtime and work rules that make a $20k a year cubical job seem pleasant.
He suggests dropping Algebra II as a requirement. The first two statistics courses I took in college had only Algebra I as a prerequisite.
As someone who actually taught Algebra II in high school (years ago), and who taught it one year in a lower-class mostly minority school district, I'll offer a few observations:
(1) I think a stats course would be a great alternative for many students compared to a second year of algebra.
(2) Algebra II was in fact a barrier for many students. There was a high rate of students failing and dropping the course. (At that time, in the state I was teaching, it wasn't strictly required for graduation -- but it was strongly recommended.)
(3) However, the problems with algebra II often start with teaching in algebra I. The algebra I and "pre-algebra" classes tend to be the "dumping ground" in many school districts for less qualified teachers. Teachers with real math degrees often were required to take stuff a lot more complicated than high school, and they often find it barely interesting to teach calculus or pre-calculus. So, in most places the qualified teachers who understand math often teach those upper-level courses, and the random coaches and people who barely passed the math certification test end up teaching algebra I. (There are serious teacher shortages in many places in the US, particularly for secondary math and science.)
(4) As an algebra II teacher, I was confronted with many students who had had a substitute teacher in algebra I for a large portion of the year. The district simply couldn't find qualified teachers to fill those classrooms. The students knew nothing. The previous algebra II teacher (a really smart woman) quit in the middle of the year, because she recognized this and wanted to either (a) send the students back to algebra I since they shouldn't have passed in the first place or (b) require many of the students to come in for mandatory tutoring outside of school hours. She wanted to help the students and was willing to take her own personal time to fix this problem. But the administration said neither was possible under state law, since the students already "had credit" for algebra I. After fighting the battle for a while, she quit.
(5) In many states, algebra teachers are forced to make stupid curriculum choices due to state-mandated curricula. I haven't looked at the new Common Core approaches and what they require, but I can tell you from my experience that we often were required to spend a ridiculous time on stuff that might have been useful for scientists and engineers headed for college in the 1950s, but these skills were much less relevant with modern calculators and computers.
(6) In general, most state curricula have tended to emphasize symbolic manipulation over real-world application (which often comes with true understanding). I was forced to spend many weeks going over how to put conic section equations into standard form, but there was nothing in state guidelines asking teachers to spend time on much more relevant real-life stuff, like applications of basic exponential equations to calculating loan terms or mortgages, investments, etc. When at some point I realized that only 2 of the 140 students I was teaching that year knew what the term "compound interest" meant, I actually abandoned the state standards for a couple weeks because I thought it was my moral responsibility to teach these kids some actual skills that could be useful in personal finance -- this would likely be the last class that many of them would ever take in their lives.
(7) Given the poor teaching and introduction to basic abstractions like variables that students receive in pre-algebra and algebra I in many schools, the only way to "teach algebra II" is learning stupid abstract algorithms for symbolic manipulation, which are generally forgotten a few weeks later. The understanding of basic algebra is often so poor that you really can't teach algebra II on a deep level