My Site
Skip to Content

Why Johnny Can't Do Algebra

September 24, 2009

Leland E. Teschler

Printer-friendly version

The algebra teacher I had in high school left a lot to be desired. He struggled to explain basic concepts in class, and those of us stuck with him as an instructor always had the impression he was just one chapter ahead of us in the algebra book. He was a nice guy, but he had no business teaching math.

I suspect most MACHINE DESIGN readers can recall similar experiences with less-than-competent teachers. This is good to keep in mind as you review the results of the Trends in International Math and Science Study. TIMSS is a measure of how U.S. students stack up in math and science proficiency against their counterparts in other countries.

Generally speaking, U.S. students just don’t look good on these evaluations. Eighth graders, for example, score well behind kids in Singapore, Taiwan, Russia, Hong Kong, and 11 other countries. And the poor scoring is nothing new. As far back as the 1960s, the U.S. has done poorly compared with other developed nations. Although U.S. test scores have improved a bit over the years, those of other advanced nations have improved more.

The hand-wringing over U.S. academic performance has gone on for decades. In 1983, a “widespread public perception that something is seriously remiss in our educational system” gave rise to a widely noted report called A Nation at Risk, The Imperative for Educational Reform. Produced by a presidential commission, it called for a wide range of educational reforms.

One of those reforms was to pay teachers for performance and to devise a mechanism that would weed out incompetents. But the Wikipedia page on Nation at Risk notes that “stunningly few” of its recommendations were ever implemented. For an idea why, consider the comments of Terry Moe, a professor of political science at Stanford University, and John Chubb, founder of EdisonLearning Inc. They blame the lack of reform on teachers’ unions that are “extraordinarily powerful.” They quote a study of state-level politics that found teachers’ unions to be the single-most-powerful interest group in the entire country throughout the 1990s. This lets unions block reforms, like pay for performance and the firing of incompetents, which are not in the interest of their members.

Moe and Chubb also point out that a simple way to boost teacher quality would be to test veteran teachers for competence in the subjects they teach. This almost certainly would have exposed the shortcomings of my algebra teacher. But unions have opposed these sorts of tests. They claim that all teachers with formal certification are competent to teach.

Well, my algebra teacher was certified, as were all the teachers in my school system even back then. At least to me, the suggestion that certification is a proxy for competence is nonsensical.

It is ironic that the United Auto Workers union has taken so much heat for contributing to the economic woes of U.S. manufacturing. One might argue teachers’ unions should get a bigger part of the blame simply because they’ve put their members’ interests ahead of enhancing the nation’s cognitive skills. And there is a direct connection between cognitive skills and economic growth. Moe and Chubb put it this way: Had the U.S. spent the last decade boosting its educational performance to that of international educational leaders, its gross domestic product by 2015 would be 4.5% higher than otherwise. That’s something to remember as you read the latest unemployment figures.

—Leland Teschler, Editor

Comments

Why Jonny can't do algebra

My 9th grade algebra teacher actually was the new head football coach. He was very good at algebra, as it turned out, better than at football. The next year, we lost the last game of the season to a team that had not beaten us in more than 60 years and he fled town immediately. Something about a possible lynch mob. I don't know if he even came in over the weekend to clean out his desk. There the problem was the actual population of the town who "knew" that no one really needed to know algebra. After all, you are going to work in a steel mill or coal mine like everyone else, aren't you?

Why Johnny can't do algebra

I am a teacher who has been teaching in the private sector, being very UNDER-paid, for the very reason you state as being the reason our U.S. public school system is failing our children, teachers unions. I would rather be paid less and be able to actually teach my students, than be a part of a union. I see them as you do, self-preservationists at any cost, especially the students. Don't get me wrong, there are many well qualified, dedicated and over-worked, under-paid public school teachers out there. They are ones that don't spend all their time trying to pass school levies, but are actually in the classroom trying to inspire and motivate students. I agree that teachers need to be held accountable for knowing their subject, but it is a fine line between knowing the subject and actually being able to teach it to another; and I have found math and science teachers/professors are the worst for that. They know their stuff, they just can't explain it clearly enough for others to learn it. Teaching is a gift, not just a profession of knowing a subject. Einstein knew his subject and could converse within his scientific circles with ease, however, from all I've read about him, he probably would have made horrible math or physics teacher in high school because he couldn't break down the concepts into digestable pieces. I will help you continue to fight for better teachers and less self-centered unions if you will help to find ways to bring the private sector into a more of our classrooms to inspire our students and assure teachers they can teach and be paid fairly without the unions.

Algebra is not fun

Yes, it is cultural. We demand too much recreation and entertainment out of our educational systems. So much so that we do not allow the duress and mental anguish that comes from the acknowledgement of failure to be felt. Johnny can't cipher? Shhh, don't embaress his Mom. Don't make Johnny sad by telling him to try that grade over again. Why should anyone have to know what X is? The government will tell us anything we need to know, what to do, who or what to worship. Doesn't the Constitution guarantee happiness? Isn't that the government's job? Isn't that the job of any good shepherd? We are to be cared for like property. What country is this?

Poor Teachers

I came across this discussion while browsing around the web for methods to help my students learn basic pre-algebra skills. I'm a high school science teacher, though...so why in the world would I be interested in doing a math teacher's job?
Physics requires a good understanding of math skills, and my students have absolutely none. I know each school is different, but I place most of the blame on the math teachers at my school. Out of the 7 math teachers, 4 of them are coaches who could not care less about teaching (these people sit in class on their cell phones or aren't in the classroom at all). That leaves three competent math teachers.
I have twelfth graders in class who do not understand what a variable is, cannot rearrange a simple 3-variable formula, and cannot understand word problems. Its endlessly frustrating.
Again, each school is different, but at my school the teachers are the problem. Will anything be done? Not likely.

Homework

My son is considered one of the "brains" in his 9th grade Algebra II class. I have worked with him constantly and when he complains I gently remind him, "Amateurs practice until they get it right, professionals practice until they can't get it wrong."

blame?

While I am not one to blame teachers entirely for this state of affairs, I will blame any teacher who goes along with the edu-canard that you cannot teach children by rote. The same children who cannot do basic arithmetic cannot spell or compose a sentence, and later in life cannot perform more complicated math or language operations. My girlfriend's cousin in 2002 did math I had in 4th grade, only he was in seventh.
Their brains are taught smooth.

Math Teachers

Off & on over the last few years I have had to teach a class called "Math Topics", for those who have failed the California Exit Exam repeatedly. In every case that we have seen (my wife and I are both teachers and tutors for the CAHSEE), the problem was not in Algebra but in the lack of competency in basic math facts. If you can't add, subtract, multiply, divide, do fractions, or do fraction/decimal conversion, you will never conquer algebra or any more advanced math. When a student is fully competent in the basics, learning the algebra is easy.

multiplication tables

I personally know someone who writes grade school math books... she does not believe in children learning "multiplication tables", "they have calculators" she says. When my son decided he wanted to become a sheet metal worker, he had to pass a basic math test to prove that he could understand fractions... he flunked it, and it was holding him out of that career path, till we decided to tutor him on "multiplication tables". Well at the age of 20, he learned them, passed the test and is now a journeyman. You can not understand fractions if you don't know that 2 x 2 = 4 and 2 x 4 = 8.

The educational revolution is coming

Some great thoughts from you guys. I can recall only a handfull of the 100+ teachers from my past that seemed liked they enjoyed conveying their subject matter. I think the rest were either clueless or just putting in 30 years and then a nice paid early retirement. When people say that we do not pay pre-college teachers enough, they do not consider that they work just 180 days/year (only 80% of the average job), AND as stated the unions virtually ensure they remain employed no matter their competence, AND most of them can retire (perhaps 10 years) earlier than the average, AND still pull an incredible retirement salary plus have medical coverage! When you churn the numbers, they are no way underpaid!!!

Why Jonny can't do Algebra

I was very lucky to have several good math teachers in my elementary and HS years. Starting with a great teacher in 6'th grade who had the class draw a circle with the points of an equalateral triangle touching the circle only using a compass, straight edge and pencil. Not a lot of us did it, but we sure had fun with geometry, and he sparked an interest that continued all through college for me. A couple of my HS Math teachers gave us tricks that I still use to this day, and I have passed these tricks on to my kids. They all have stuggled much less with math than a lot of their classmates, is this genetic or just a result of a parent that cares and is involved with their childrens education, I beleive if more parents were involved with their kids education, that test scores would be higher. I'm also very glad that I had some great teachers!

Leave a comment

The content of this field is kept private and will not be shown publicly.

Acceptable Use Policy