Math Now in a Politically Correct Mode

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"…In a comparison of a 1973 algebra textbook and a 1998 “contemporary mathematics” textbook, Williamson Evers and Paul Clopton found a dramatic change in topics. In the 1973 book, for example, the index for the letter “F” included factors, factoring, fallacies, finite decimal, finite set, formulas, fractions and functions. In the 1998 book, the index listed families (in poverty data), fast food nutrition data, fat in fast food, feasibility study, feeding tours, ferris wheel, fish, fishing, flags, flight, floor plan, flower beds, food, football, Ford Mustang, franchises and fund-raising carnival.

Those were the days of innocent dumbing-down. Now mathematics is being nudged into a specifically political direction by educators who call themselves “critical theorists.” They advocate using mathematics as a tool to advance social justice. Social justice math relies on political and cultural relevance to guide math instruction. One of its precepts is “ethnomathematics,” that is, the belief that different cultures have evolved different ways of using mathematics, and that students will learn best if taught in the ways that relate to their ancestral culture. From this perspective, traditional mathematics–the mathematics taught in universities around the world–is the property of Western civilization and is inexorably linked with the values of the oppressors and conquerors. The culturally attuned teacher will learn about the counting system of the ancient Mayans, ancient Africans, Papua New Guineans and other “nonmainstream” cultures.

Partisans of social-justice mathematics advocate an explicitly political agenda in the classroom. A new textbook, “Rethinking Mathematics: Teaching Social Justice by the Numbers,” shows how problem solving, ethnomathematics and political action can be merged. Among its topics are: “Sweatshop Accounting,” with units on poverty, globalization and the unequal distribution of wealth. Another topic, drawn directly from ethnomathematics, is “Chicanos Have Math in Their Blood.” Others include “The Transnational Capital Auction,” “Multicultural Math,” and “Home Buying While Brown or Black.” Units of study include racial profiling, the war in Iraq, corporate control of the media and environmental racism.** The theory behind the book is that “teaching math in a neutral manner is not possible.”** Teachers are supposed to vary the teaching of mathematics in relation to their students’ race, sex, ethnicity and community.

This fusion of political correctness and relevance may be the next big thing to rock mathematics education, appealing as it does to political activists and to ethnic chauvinists.

opinionjournal.com/extra/?id=110006873

From Diane Ravitch’s column: Ms. Ravitch is a historian of education at New York University, a senior fellow at the Brookings Institution, and a member of the Koret Task Force at the Hoover Institution.
 
Sounds more like they’re making it interesting by using real life examples.
 
The History of Teaching Mathematics

1950 - A logger sells a truckload of lumber for $100. His cost of production is 4/5 of the price. What is his profit?

1960 - A logger sells a truckload of lumber for $100. His cost of production is 4/5 of the price, or $80. What is his profit?

1970 - A logger exchanges a set “L” of lumber for set “M” of money. The Cardinality of Set “M” is 100. Each element is worth $1. Make 100 dots represent the elements of the set “M,” The set “C,” the cost of production, contains 20 fewer points than set “M.” Represent the set “C” as a subset of Set “M” and answer the following question: What is the Cardinality of the set “P” of profit?

1980 - A logger sells a truckload of lumber for $100. His cost of production is $80 and his profit is $20. Your assignment: underline the number 20.

1990 - By cutting down beautiful forest trees, the logger makes $20. What do you think of this wy of earning a living? Topic for class discussion: how do the birds and squirrels feel as the loggers cut down their homes in the trees? There are no wrong answers.

2002 - A logger sells a truckload of lumber for $100. His cost of production is $120. How does Arthur Andersen determine that his profit is $60?

2010 - Un leñador vende una carretada de madera por $100. El costo de producciòn es…
 
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wabrams:
Sounds more like they’re making it interesting by using real life examples.
I do like the examples too, because I like to know those kind of “trivia” facts, but there is always the risk they promote a liberal agenda.

One problem with our education system is that it was designed largely in the industrial age, to produce obedient little workers who had enough literacy. That assumes the knowledge body is fairly static, and that the use for that knowledge will be long lasting. Those assumptions don’t apply anymore. People spend years in training to be certified in something, only to find out that field is waning so they have to start cross-training already. People used to become craftsmen, but automation is changing all the economics and therefore the management decisions and as various specialties compete for importance, the skills to adapt to new situations and discover your own version of new insights, are not being taught well.

In summary, we teach kids what to think, not how to think.

Alan
 
I have always thought numbers were too homophobic, sexist, oppressive and Eurocentric. Now I have proof.
 
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fix:
I have always thought numbers were too homophobic, sexist, oppressive and Eurocentric. Now I have proof.
Not only that, but some people actually stray from Real Numbers and investigate (gasp) Imaginary Numbers!

You should stay away from those people. They make everything complex.

Alan
 
One of the classes I teach is Algebra I. I also know many math teachers and textbook authors. This seems like just another attack on education by setting up some goofy idea that isn’t even used.

Now if you want to talk “reform” mathematics, that’s a serious problem, in my opinion.
 
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Thekla:
One of the classes I teach is Algebra I. I also know many math teachers and textbook authors. This seems like just another attack on education by setting up some goofy idea that isn’t even used.

Now if you want to talk “reform” mathematics, that’s a serious problem, in my opinion.
You think it is an idea that is not used?

Ever hear of Califonia, the land of flower power, where the grass is great and you can still make a retreat at Esalen? You think they wouldn’t jump all over that politicaly correct form of counting beyone 10? Hey, some of theose folks have real Aztec blood in their veins; just ask their shaman…
 
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otm:
You think it is an idea that is not used?

Ever hear of Califonia, the land of flower power, where the grass is great and you can still make a retreat at Esalen? You think they wouldn’t jump all over that politicaly correct form of counting beyone 10? Hey, some of theose folks have real Aztec blood in their veins; just ask their shaman…
That’s exactly what I think. I read that poorly written column and saw a vague reference to a 1998 textbook. Which one? I’m quite familiar with Algebra texts and found it puzzling that the author never named the text.

So someone else wrote a book about math and social justice. So what? The column is just another effort to present a goofy idea as representative of teachers.

And I’ll stick up for the hard-working people of California who you insult for no reason. They are not my enemy. We have states in this country with appalling literacy and graduation rates, states who have admitted to “fudging” the reported percentage of students graduating from high school, and large school districts, like Houston, who have shuffled and hid students to make their test scores look better than they really are. Political correctness is one of the least of our problems.
 
Fritzie Frank:
One plus one is two. Period.

FzFk
Not if you’re talking X + X = 2X,

where X = 1

and the units are 10^5 miles/s

In this case,

Then if you, like me, are relativistic in your thinking of the universe, it’s really: 1 + 1 < 2 although for routine cases 1 + 1 = 2 because it works for most everyday arithmetic. For space cadets like me I have to account for the speed of light. 🤓

Alan

P.S. why? Well, clearly…

 
Alan,

I am not smart. I just know that gays should not be teaching gay math. If the kids they teach gay math to become soldiers, we could lose to Saddam Hussein, who would then be President of the United States. And I think he would cancel General Hospital, and maybe even the whole Soap Network (and I don’t have all of Port Charles on tape yet.)

So let’s hold up on gay math until all the facts are in!

FzFk
 
If anyone who has Algebra phobia, and needs to lose it or at least try to get a grip on it to get through a tough class, here’s a book to look into. It is supposedly written by math phobes and for math phobes (I’m paraphrasing) and reveals little known secrets about how Real Math Teachers really think and what they’re not telling you. The first chapter is worth twice the price of the book.

Algebra Unplugged.

One such secret: It has nothing to do with the Real World, as they try to brainwash you into thinking when they first convince you that 2 apples + 3 oranges = 5 fruits, but you dare not compare fruits lest you be politically incorrect.

Here’s the secret. Because it’s fun. That’s why the Real Algebra Teacher is good at it, and they feel sorry for but can’t imagine the point of view of someone who is not interested in finding the characteristics of the discriminant of a quadratic equation. To you Math Teacher, it is like a kid who doesn’t want an ice cream cone. They just don’t get it. Math is painful for some people.

Alan
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I hate all math except basic math (adding, subtraction, multiplying, division). I was failing geometry in high school, and my teacher knew her stuff but just could not teach it. She would show us a problem on the board, give us the answer, but never explained how she got the answer. I told her I would never use geometry in real life and she insisted that I would. I never did use it, and I feel like writing her a letter that said “Told you so.”

1 geometry class + 1 teacher who knows math but can’t teach properly + 14 confused students = 14 bad test scores.
 
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Richardols:
The History of Teaching Mathematics

1950 - A logger sells a truckload of lumber for $100. His cost of production is 4/5 of the price. What is his profit?

1960 - A logger sells a truckload of lumber for $100. His cost of production is 4/5 of the price, or $80. What is his profit?

1970 - A logger exchanges a set “L” of lumber for set “M” of money. The Cardinality of Set “M” is 100. Each element is worth $1. Make 100 dots represent the elements of the set “M,” The set “C,” the cost of production, contains 20 fewer points than set “M.” Represent the set “C” as a subset of Set “M” and answer the following question: What is the Cardinality of the set “P” of profit?

1980 - A logger sells a truckload of lumber for $100. His cost of production is $80 and his profit is $20. Your assignment: underline the number 20.

1990 - By cutting down beautiful forest trees, the logger makes $20. What do you think of this wy of earning a living? Topic for class discussion: how do the birds and squirrels feel as the loggers cut down their homes in the trees? There are no wrong answers.

2002 - A logger sells a truckload of lumber for $100. His cost of production is $120. How does Arthur Andersen determine that his profit is $60?

2010 - Un leñador vende una carretada de madera por $100. El costo de producciòn es…
Brilliant!! Especially the last one about the year 2010.
 
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Asella:
I hate all math except basic math (adding, subtraction, multiplying, division). I was failing geometry in high school, and my teacher knew her stuff but just could not teach it. She would show us a problem on the board, give us the answer, but never explained how she got the answer. I told her I would never use geometry in real life and she insisted that I would. I never did use it, and I feel like writing her a letter that said “Told you so.”

1 geometry class + 1 teacher who knows math but can’t teach properly + 14 confused students = 14 bad test scores.
The captain goes down with his ship. The teacher blames poor learning on the pupils.

Sterotype, I know nobody on this forum would fit that description. At least not on purpose.

P.S. What does homework have to do with a grade? Isn’t it like scratch paper where they learn their craft and then come in to show it off by performing on tests? Is this catering to those who do a lot of work but Couldn’t Care Less to do more than suffer through The Last Exam? For that matter, if I go to a class for 15 weeks, why should either my performance or that of the class itself be judged inferior in part by any vestige of a quiz I took in week 2 of the course. Why do we care how well somebody did the first week or two – don’t we intend to take those who are not good at something and train them to be good at something by the end of the 15 week course?

Why don’t we take a clue from areas where the U.S. citizens understand competitive training. Sports. Who is more talked about, the person who performs consistently well throughout the season or the one who does poorly the first half and then takes off?

Not that I’ve ever had any preference, of course, over grading systems. I just follow the policy of the school who gives me a paycheck, and go from there within those boundaries.

Alan
 
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HagiaSophia:
This fusion of political correctness and relevance may be the next big thing to rock mathematics education, appealing as it does to political activists and to ethnic chauvinists.
A couple of things. First of all, the article was written by Diane Ravitch, who is not a mathematician, but a historian of education. Secondly, from the article itself, we read: “Attempts to solve problems without basic skills caused some critics, especially professional mathematicians, to deride the “new, new math” as “rainforest algebra.””

Thirdly, you have to remember that mathematics is a universal language and it is taught around the globe.

And furthermore, we need to look at the level of the student and the course where it is offered. For example, in some high school level algebra courses or in a college applied statistics course, there might be a place for a lot of simple applications. But, I doubt that you are going to find applications such as what you have mentioned in mathematics courses such as: Galois theory or Algebraic topology or topological vector spaces, differentiable manifolds, spectra of graphs, Banach algebra techniques, functional analysis, or algebraic geometry, etc. And most of the applications found in a typical course in partial differential equations are related to physics or engineering applications, such as the heat equation, fluid flow, maxwell’s equations, navier-stokes problems, etc.
 
When I taught college algebra to a bunch of reluctant, spoiled far-suburban high school seniors, there was one who would never take another math course. This was for college credit, although because of some stupid lawsuit the high school could only offer it on campus if it were taken pass/fail.

Anyway, this one student who would never take math again and was going to school on a soccer scholarship, literally could not work out 7 x 8 in her head.

She would probably figure it out by adding 7 8’s or something, maybe, but she never learned this when she was young. She was very nice and all, and was completely honest about her predicament. Plus, she was an expert at cheating but not enough for me because she fell right into a cheating trap.

Last year I started an ambitious project but didn’t finish it. Typical for me. Anyway there are some cute little DOS programs that give you a no nonsense, no gaming approach to simple and annoying math drills.

I tried this at All Saints on grades 2-5 and ran a total of about1000 trials. The biggest issue for kids is to realize these aren’t Windows programs and the mouse does not run it. It’s simply type and press enter, Ctrl-C when done. Remember those days?

This is based on flashcards being the best thing in the world for kids, all except my math programs. I offer them public domain;they are all under100k bytes and you don’t install them. Just store them and they archive your results in a text file (I think scores.txt) as they run.

I claim to know what I’m talking about in grade school math performance. In my own class at St. Joseph Elementary in Homewood IL, I won regionals in a math contest in 7th grade. Got to go to Holy Name Cathedral and won third place in the Archdiocese of Chicago, over 400 schools competing.

What did I want to know? What did I do wrong? Well, the other two tied for first, and I got third with one problem wrong. I simply didn’t know a symbol; I didn’t know vertical lines were symbols for absolute value. I knew what abs val was, but not that the lines meant it. Oh well. At least I didn’t make any actual errors that I could have avoided.

Click here to download the math drill programs. Just run from right there; no installation, no Windows involvement at all except a window to run it: 🙂

math.wordsfree.org/

Alan
 
To a mathmatician 2+2 = 4

To a statistician 2+2 = somewhere between 3 and 5

To an accountant 2+2 = 4 but knock 2 off for my fee

To a lawyer 2+2 = whatever you want it to equal

To a politician 2+2 = a trillion dollars but don’t worry we can make it back in taxes to smokers and then spend it on whatever we want due to the inclemental economic climate of world commerce and trade linking into the world arms industry adjacent to the …yawn…yawn…ZZzzzzzz

To a surrealist 2+2 = a fish.

😉
 
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