Why America is bad at math
Research shows that the way math is taught in schools and how its conceptualized as a subject is severely impairing American student's ability to learn and understand the material.
- Americans continually score either in the mid- or bottom-tier when it comes to math and science compared to their international peers.
- Students have a fundamental misunderstanding of what math is and what it can do. By viewing it as a language, students and teachers can begin to conceptualize it in easier and more practical ways.
- A lot of mistakes come from worrying too much about rote memorization and speedy problem-solving and from students missing large gaps in a subject that is reliant on learning concepts sequentially.
It comes as no surprise to most people that Americans perform worse in math and sciences than many of their international peers on the world stage. The numbers don't lie: A recent national survey from the Organization for Economic Cooperation and Development found that 82% of adults couldn't determine the cost of carpeting when given its dimensions and price per square yard.
Unlike the more difficult and comprehensive math tests given to test students' comprehension, this test was for basic numeracy skills. The United States fell behind in 22nd place.
For a country that has boasted, or at least hosted, some of the smartest minds and most competitive research labs, companies, and universities in the world, there is a strange disconnect between our overall mathematical ability and our professional output. There is no doubt that a lot of Americans are bad at math and even suffer crippling math anxiety from a very young age.
But why? It has to do with a few reasons: how math is presented as a subject, how it's taught, and what's expected from American students.
Why the U.S. needs to change its collective view of mathematics
Mathematics has been taught a certain way for decades in U.S. schools. Maybe it's time for that to change.
One of the first things that comes to many people's minds when they think about math is rote memorization, impracticability, and the old slacker adage, "When am I ever going to need to use this?" The quadratic formula, sines, and cosines have gotten a bad rap and taken a verbal beating by an innumerable amount of high schoolers for probably more than a century.
The vast majority of people who haven't had to use an equation since their senior year or cram session in college just don't see the value in math. That's because they fundamentally misunderstand what mathematics is.
Neil deGrasse Tyson put it succinctly when he said, "Math is the language of the universe. So the more equations you know, the more you can converse with the cosmos."
Now, that's part of the equation, but not all of it. Math, in a sense, is a way to speak and manipulate the world in a logic- and reason-based system using a specialized written language.
It is the language of numbers, quantity, and space, and it's used in applications for engineering, physics, and so on. It's doubtful that math is presented this way to children or students at an early age. But that's just one part of the problem with how we approach math.
Why it's easy to fall behind in math
Professor Po-Shen Loh at Carnegie Mellon believes that everyone is a math person; all they lack is proper instruction. In an interview with Big Think, he went on to say that math is a language that builds upon itself, and not understanding the foundations of math is like not understanding the roots and structure of a language.
Essentially if a student doesn't catch on in their first years of instruction, it's going to be very difficult for them to reverse course and excel later on down the line. He believes it is essential to catch this early on and address it before a student's issues with math reach a point where they feel "they're just not good at math."
Professor Loh goes on to say that "Mathematics is the principles of reasoning. There are ways to show you how these basic building blocks of reasoning can be used to deduce surprising and difficult things."
One major reason that mathematics is difficult to understand is because it is a network of prerequisites. Everything, all of the concepts, are chained in sequences of dependencies.
If you miss an important concept earlier on—say, not being able to understand how to chart a simple algebraic equation on a line graph, you'll have no idea how to go on to charting even more complicated equations.
Loh goes on to say that this is much more prevalent in mathematics than history, for example. If you didn't fully understand the War of 1812, it's not going to impact how you learn about the Civil War—aside from the occasional historical patterns you may or may not recognize, of course.
The way to address this is to provide a learning environment for everyone that moves at their own pace, to make sure to fill in the gaps, and to catch those lapses in understanding before they get out of control.
And if you're already in too deep, say, as a college grad or just an adult who wants to learn… well, it's time to start from square one.
A faulty learning and teaching methodology
A few years back, the Programme for International Student Assessment (PISA) dug a little deeper into how math is taught. A 2012 assessment questioned how students approach the subject. Their responses were categorized in three learning styles: some students relied mostly on memorization, others tried to relate new concepts to ones they've already learned, and finally, some used a self-monitoring approach in which they evaluated their understanding and focused on concepts they had yet to learn.
Without much of a surprise, it turned out that the memorizers were the least likely to achieve high scores and understanding. The United States ranked in the top three for this learning method. A more in-depth look showed that memorizers were about a half year behind students who used either relational or self-monitoring strategies.
Research has shown and most likely loads of anecdotal evidence shows that most math classrooms in the United States equate comprehension and skill with speed. Students who are the fastest on their time tables race against the clock to see how fast they can write down their memorized lines. This is not learning, this is not comprehension.
Studies show that stress interferes with the part of our brain we use to manipulate mathematical facts.
Studies have shown that children manipulate math facts with their working memory, an area of the brain that will go offline when they experience stress.
Now put together 45-minute timed tests in a condensed school year or semester combined with math anxiety, faulty instruction and expectations, poor learning methods, potential lapses in the fundamentals, and the problems start to pile up. As a result, the part of the brain responsible for mathematical thinking literally shuts off, and you start to see why Americans are so bad at math.
Leading mathematician Laurent Schwartz wrote in his autobiography that he was a slow thinker in math and even believed that he was stupid. That is until he realized that "What is important is to deeply understand things and their relations to each other. This is where intelligence lies. The fact of being quick or slow isn't really relevant."
The problem has been diagnosed, and a few pieces of the solution have been put together, but something is still missing.
Why new methods of teaching math aren’t working
We've tried different methods of teaching math over the years, but have any of them worked?
Many potentially great minds have probably been turned off by the fast-paced timed tests and wonky teaching methods presented through the years. The language of math needs to be presented in a way that shows how it connects to the world and demonstrates its great capacity for understanding and manipulating reality.
If more people could tap into this infinite matrix of power, they'd be able to engage in the wondrous world of math and unlock unknown potentials. It's not for a lack of trying that we've failed; it comes down to instruction yet again.
Despite being today's newest fad and the subject of ire from many on both sides of the political spectrum, Common Core is our latest panacea for our math woes. Yet we still suffer from what math professor and author John Allen Paulos calls innumeracy—a mathematical illiteracy akin to not being able to read or write.
What is needed is a fundamental shift in how we view mathematics as a subject so we can learn to imagine how it can benefit and help us in different fields. In addition, we need to make sure that it's taught in a way that no student skips past the fundamentals. Instructors and teachers at all levels must make a systemic change if we're to see any progress. Could this change be Common Core or a different teaching philosophy? We'll find out in the years to come.
What would happen if you tripled the US population? Join Matthew Yglesias and Charles Duhigg at 1pm ET on Monday, September 28.
Whether or not women think beards are sexy has to do with "moral disgust"
- A new study found that women perceive men with facial hair to be more attractive as well as physically and socially dominant.
- Women tend to associate more masculine faces with physical strength, social assertiveness, and formidability.
- Women who display higher levels of "moral disgust," or feelings of repugnance toward taboo behaviors, are more likely to prefer hairy faces.
Beards and perceptions of masculinity<img type="lazy-image" data-runner-src="https://assets.rebelmouse.io/eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpbWFnZSI6Imh0dHBzOi8vYXNzZXRzLnJibC5tcy8yMjU5OTg0MC9vcmlnaW4uanBnIiwiZXhwaXJlc19hdCI6MTY0NzkxMjM3N30.cH-GqNwP5GVqvstgJWAhBPn1B_lYpVEAI0I7iax7EQw/img.jpg?width=1245&coordinates=0%2C1900%2C0%2C849&height=700" id="caae6" class="rm-shortcode" data-rm-shortcode-id="cb0a355a4e8e1899789bc45f3f7aef56" data-rm-shortcode-name="rebelmouse-image" />
Photo Credit: Wikimedia<p>The study used 919 American (mostly white) women ages 18-70 who rated 30 pictures of men they were shown with various stages of facial hair growth. The photographs depicted men with faces that had been digitally altered to look more feminine or more masculine, with a beard and without a beard. The women rated the men according to perceived attractiveness for long-term and short-term relationships. The study found that the more facial hair the men had, the higher the men were rated on their attractiveness, particularly for their suitability for a long-term relationship.</p><p>Part of this might be attributed to facial masculinity — i.e. protruding brow ridge, wide cheekbones, thick jawline, and deeply set narrow eyes — which conveys information to a woman about a man's underlying health and formidability. Women tend to associate more masculine faces with physical strength and social assertiveness. It can also indicate a man with a superior immune response. The researchers suggested that their findings favoring bearded men could be due to the fact that facial hair enhances the masculine facial features on a man's face, like creating the illusion of a thicker jaw line. This could communicate direct benefits to women like resources and protection that would enhance survival among mothers and their infants. In other words, while a beard doesn't mean superior genetics in and of itself, it might be a primitive, ornamental way of saying, "Hey girl, I'm a testosterone-fueled lean, mean, pathogen fighting machine." <br></p><p>It could also be that a beard becomes its own destiny. The researchers in this study cite prior research that found that by growing a beard, men felt more masculine and had higher levels of serum testosterone, which was linked to a higher level of social dominance. They also tended to subscribe to more old-school beliefs about gender roles in their relationships with women as compared to men with clean-shaven faces.<span></span><br></p>
What does disgust have to do with beard preference?<p>Obviously, not all women dig beards. The researchers were particularly interested in what traits make a women prefer bearded men over clean-shaven faces. They looked into several factors including a woman's disgust levels on various concepts, her desire to become pregnant, and her exposure to facial hair in her personal life. </p><p>According to the study, women who were not into facial hair were turned-off by potential parasites or other critters they imagined could be in the hair or skin. Women ranking high on this "ectoparasite disgust" scale might have viewed beards as a sign of poor grooming habits. However, women who ranked higher in levels of "pathogen" did find the bearded men to be desirable, possibly because they perceived beards as a signal of good health and immune function. An intriguing discovery in the study was links to morality. Women who displayed higher levels of "moral disgust," or feelings of repugnance toward taboo behaviors, were more likely to prefer hairy faces. The authors opined that this could reflect a link between beardedness, politically conservative outlooks, and traditional views regarding performances of masculinity in heterosexual relationships.</p>
Additional findings<img type="lazy-image" data-runner-src="https://assets.rebelmouse.io/eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpbWFnZSI6Imh0dHBzOi8vYXNzZXRzLnJibC5tcy8yMjU5OTg1My9vcmlnaW4uZ2lmIiwiZXhwaXJlc19hdCI6MTYyNDI1NjUyOX0.P9B8WbmJR0q4nfzYZKbuNSA-2SAigVWJgrQE-_Gxlds/img.gif?width=980" id="49143" class="rm-shortcode" data-rm-shortcode-id="2ed3b1d6f20fc170bf2974646e565e8d" data-rm-shortcode-name="rebelmouse-image" />Giphy<p>The correlations that existed between married and single women's rating on the attractiveness of beards were not particularly clear, although the researchers noted that single and married women who wanted children tended to find beards more attractive than the women who didn't want children. They also found that women with bearded husbands found beards to be more attractive, which might indicate that social exposure to beards influences how desirable they are perceived of as being. Or it could be that men with wives who like beards grow beards.</p><p>It's important to note that culture plays a huge role in how attractive women perceive certain male characteristics as being. This study looked at a small, culturally specific group of American women, so no big, universal claims should be made about masculinity, facial hair, and male desirability to women. However, research like this is important in highlighting how human grooming decisions are driven by much more than fashion trends. Sociobiological, economic, and ecological factors all play a part in the way we choose to present ourselves.</p>
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