Group items tagged

Not surprisingly, Kahan's study found that the more numerate you are, the more likely you are to get the answer to this "skin cream" problem right. Moreover, it found no substantial difference between highly numerate Democrats and highly numerate Republicans in this regard. The better members of both political groups were at math, the better they were at solving the skin cream problem.

So how did people fare on the handgun version of the problem? They performed quite differently than on the skin cream version, and strong political patterns emerged in the results—especially among people who are good at mathematical reasoning. Most strikingly, highly numerate liberal Democrats did almost perfectly when the right answer was that the concealed weapons ban does indeed work to decrease crime (version C of the experiment)—an outcome that favors their pro-gun-control predilections. But they did much worse when the correct answer was that crime increases in cities that enact the ban (version D of the experiment).

The opposite was true for highly numerate conservative Republicans

these results are a fairly strong refutation of what is called the "deficit model" in the field of science and technology studies—the idea that if people just had more knowledge, or more reasoning ability, then they would be better able to come to consensus with scientists and experts on issues like climate change, evolution, the safety of vaccines, and pretty much anything else involving science or data

Kahan's data suggest the opposite—that political biases skew our reasoning abilities, and this problem seems to be worse for people with advanced capacities like scientific literacy and numeracy.

What's happening when highly numerate liberals and conservatives actually get it wrong? Either they're intuiting an incorrect answer that is politically convenient and feels right to them, leading them to inquire no further—or else they're stopping to calculate the correct answer, but then refusing to accept it and coming up with some elaborate reason why 1 + 1 doesn't equal 2 in this particular instance. (Kahan suspects it's mostly the former, rather than the latter.)

This new study is just one out of many in this respect, but it provides perhaps the most striking demonstration yet of just how motivated, just how biased, reasoning can be—especially about politics.

The project is called the Program for the International Assessment of Adult Competencies (known as Piaac, sometimes called “pee-ack”). In 2011 and 2012, 166,000 adults ages 16 to 65 were tested in the O.E.C.D. countries

Like PISA, Piaac tests people’s literacy and math skills. Because the test takers were adults, they were asked to use those skills in real-world contexts.

As with the measures of K-12 education, the United States battles it out for last place, this time with Italy and Spain.

Only 18 percent of American adults with bachelor’s degrees score at the top two levels of numeracy, compared with the international average of 24 percent. Over one-third of American bachelor’s degree holders failed to reach Level 3 on the five-level Piaac scale, which means that they cannot perform math-related tasks that “require several steps and may involve the choice of problem-solving strategies.”

American results on the literacy and technology tests were somewhat better, in the sense that they were only mediocre. American adults were eighth from the bottom in literacy, for instance. And recent college graduates look no better than older ones. Among people ages 16 to 29 with a bachelor’s degree or better, America ranks 16th out of 24 in numeracy.

There is no reason to believe that American colleges are, on average, the best in the world.

Instead, Piaac suggests that the wide disparities of knowledge and skill present among American schoolchildren are not ameliorated by higher education. If anything, they are magnified. In 2000, American 15-year-olds scored slightly above the international average. Twelve years later, Americans who were about 12 years older scored below the international average.

We believe what we want to believe, and neither facts nor evidence ever changes that much.

Although there has been a decline in the study of foreign languages in other parts of the UK, England and Scotland have both introduced policies to increase the provision.

"We're having to work much harder to make it more fun, desirable - they don't see languages as being as important as the core subjects and I don't think that schools do generally either with literacy, numeracy and science seen as more important over subjects like language

Transport flying is now so safe that the long time standard of 10 to the minus 

9th may not satisfy the public

No test is perfectly accurate; all generate false positives and false negatives. How many varies by the test — the new Abbott Labs test, for example, has a false negative rate of about 3 percent and a false positive rate of about 1.5 percent.

We’d also require public understanding that test results are a risk-assessment tool rather than a definitive answer. And shifting the public’s thinking might be harder than shifting Trump.

Doing that would also require fundamentally changing our thinking.

For mass testing to work, people will need to understand that even an event where all attendees just tested negative isn’t necessarily covid-free, because some false negatives might have slipped through

Giving hundreds of millions of citizens this crash course in elementary statistics would be very difficult. Teaching people how to think about a positive result would be even harder — especially if mass testing does its job of reducing caseloads. Because as case numbers fall, false positives will become a bigger and bigger problem.

Say we’re testing 200 people, 10 of whom have covid-19. Given its rate of false negatives, the Abbott test would probably catch all 10. But with false positives, it could also tell one or two people who don’t have covid-19 that they’re infected. That’s not ideal — as good citizens, they’d have to go home and quarantine. But a more sensitive follow-up test could substantially mitigate this problem, shortening such quarantines to a day or so. It would be worth it to get those 10 true positives out of circulation.

Doing this, we might eventually reduce the share of the population that’s infected to, say, 0.5 percent from 5 percent. Unfortunately, the false positive rate won’t budge, so now for every one true positive uncovered, roughly three false positives would still be generated.

That’s inherently costly: Every false positive means skipping your flight, rehearsal or birthday party. But it would be catastrophic if people didn’t understand that a positive covid-19 test is a guideline, not a guarantee

People who think that they’ve had covid-19, when they haven’t, are apt to go out and engage in risky behavior, maybe a lot of it. And if mass testing ever becomes common, there could be a lot of those people.

So mass testing isn’t just a matter of getting a test that is cheap enough and plentiful enough; the administration and the public must be educated to use this bounty wisely. That’s a hard messaging problem. Given the alternative, though, it’s the kind of problem we’d really like to have.