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Among 75,567,650 beneficiary-period observations in the claims analysis, 14.3% occurred on NRA convention dates. The unadjusted rate of firearm injuries was lower during convention dates than during control dates (129 beneficiaries with a firearm injury among 10,883,304 persons [1.19 per 100,000] vs. 963 beneficiaries…
Learning to communicate in and with a culture of science is a much broader undertaking than mastering a body of discrete conceptual or procedural knowledge. One observer, for example, describes the process of science education as one in which learners must engage in "border crossings" from their own everyday world…
Propositions are supposed to be idealizations, rather like numbers or vectors or some other abstract formulation. It looks at first very powerful, and for some purposes it’s very useful. But it takes you away from enlightenment because it gives you this false sense that you haven’t understood something really until…
Having turned my back on propositions, I thought, what am I going to do about this? The area where it really comes up is when you start looking at the contents of consciousness, which is my number one topic. I like to quote Maynard Keynes on this. He was once asked, “Do you think in words or pictures?” to which he…
...basic Roman arithmetic is largely rather simple, even for those of us spoiled by Arabic notation. Addition is no sweat, because complex Roman numbers already use what math pros call additive notation, with numerals set beside one another to create a larger number. VI is just V plus I, after all. To add large…
A game, toy or article of manufacture includes a set of rules and at least one model. The model has multiple movable parts, where under the rules of play, the model begins in an assembled configuration. As the model loses points under the rules of play, at least some of the parts are removed from the model, or…
Most real-world numbers aren’t always so nice and neat, with wholenumber multiples. If, say, Plant A grew from 2 to 3 feet, and Plant B grew from 6 to 8 feet, then we would say that Plant A grew 1/2 of its original height, whereas Plant B only grew 1/3 of its original height. Such reasoning exemplifies multiplicative…
My initial reaction to discovering the Tapper patent was that it seemed like a hilarious parody. There are many silly patents, but this patent isn't silly in only the usual way, that it proposes an invention where I'm skeptical patent protection is really in order. It reads parodically because it seems to be…
Ms. Spooner, a long-time game player, realizes that the Racing/Grid Movement mechanic is the right choice for her students because it is particularly good at helping to assess highly granular pieces of content or skills. She envisions a game in which her students are divided into two- or threeperson teams. She wants…
The evidence base for the health effects of spice consumption is insufficient, with only one large population-based study and no reports from Europe or North America. Our objective was to analyze the association between consumption of hot red chili peppers and mortality, using a population-based prospective cohort…
But she thought of Kuno as a baby, his birth, his removal to the public nurseries, her own visit to him there, his visits to her-visits which stopped when the Machine had assigned him a room on the other side of the earth. "Parents, duties of," said the book of the Machine," cease at the moment of birth. P.422327483."…
Presidents are royalty and we measure our lives by their reigns, but their effect on the country in general is greatly exaggerated. Take me, for example. Mr. Lyndon Johnson’s Selective Service System more or less governed my 20s, and now that I’m old and shaky, his Medicare is very helpful, but for most of us…
What I fight against most in some sense, [when talking to the public,] is the kind of message, for example as put out by the film Good Will Hunting, that there is something you're born with and either you have it or you don't. That's really not the experience of mathematicians. We all find it difficult, it's not that…
The analogy is mathematically precise, and fascinating. In rough terms, it says that the process of natural selection resembles the process of Bayesian inference. A population of organisms can be thought of as having various 'hypotheses' about how to survive—each hypothesis corresponding to a different allele…
Healthy aging can lead to impairments in learning that affect many laboratory and real-life tasks. These tasks often involve the acquisition of dynamic contingencies, which requires adjusting the rate of learning to environmental statistics. For example, learning rate should increase when expectations are uncertain…
These findings would suggest that the difference in achievement gains between having a 25th percentile teacher (a not so effective teacher) and a 75th percentile teacher (an effective teacher) is over one-third of a standard deviation (0.35) in reading and almost half a standard deviation (0.48) in mathematics…
For example, if the problem was to fi nd the answer to 8 × 6, students may suggest three options: memorizing the multiplication table for 6, knowing that 8 × 5 = 40 and adding another 8 to equal 48, or adding a column of six 8s. Allowing students to personally choose among approaches all confi rmed as correct and to…
Buzz. An example of a low-stress, win-win game is Prime Number Buzz. Students stand in a circle or at their desks and go around the room in order, saying either the next sequential number if it is a composite or “buzz” if it is a prime. If they are incorrect, they sit down, but they keep listening and when they catch…
Periodically remind students that their mental effort is relevant to pleasure in the near future. The younger the children, the less tolerant their brains are to activities that are not pleasurable now or expected to be so in the very near future. Fortunately, the dopamine-reward network releases motivating dopamine…
Addition: add, plus, sum, total, altogether, increased by, grew, gained, total of, combined, more than (as in, “3 more than 7 is 10”), put together, in all Subtraction: minus, take away, diff erence, less than, from, remove, subtract, gives away, sells, loses, fewer than, decreased by, diff erence between…