math
drorzel | January 6, 2012On last month's post about the public innumeracy of a Florida school board member, Tom Singer posts an update, which includes a link to a follow-up at the Washington Post blog that started the whole thing. In the course of rounding up reactions to the original, the author, Valerie Strauss, writes:
In fact, there were a lot of readers who responded to the posts saying exactly what Roach suggested: He's been out of school too long. Others questioned why a successful businessman couldn't pass 10th-grade math. (I looked at FCAT 10th-grade questions and couldn't do them myself, but math has always…
drorzel | January 5, 2012Anybody who has taught introductory physics has noticed the tendency, particuarly among weaker students, to plug numbers into equations at the first opportunity, and spend the rest of the problem manipulating nine-digit decimal numbers (because, of course, you want to copy down all the digits the calculator gives you. Many faculty, myself included, find this kind of maddening, as it's pretty much the opposite of what professional physicists do-- we tend to work primarily with equations in abstract, symbolic form, and plug numbers in only at the very end of the problem.
Thus, very few people…
esiegel | December 26, 2011"And you may find yourself in another part of the world.
And you may find yourself behind the wheel of a large automobile.
And you may find yourself in a beautiful house, with a beautiful wife.
And you may ask yourself, 'Well, how did I get here?'" -Talking Heads
What would you do if you woke up one day, and found yourself in completely unfamiliar surroundings? You don't know what day it is, what year it is, or even where you are.
Is there any way, without any other information, that you could figure out exactly where in the world you were?
Image credit: World Map from Theodora.com.
We…
drorzel | December 8, 2011Moving along through our countdown to Newton's birthday, we come to the next important physical quantity, angular momentum. For some obscure reason, this gets the symbol L, and the angular momentum for a single particle about some point A is given by:
This is probably the most deceptive equation we'll see this season. Yesterday's definition of work clearly showed its vector calculus roots, but to the untrained eye, this just looks like a simple multiplication: You take the momentum (p) and multiply by the distance (r) from point A, and you're all set.
To those with a little mathematical…
drorzel | December 7, 2011"In the first place God made idiots. This was for practice. Then He made School Boards."
-- Mark Twain
In last night's post about a school board member failing 10th grade standardized tests, I may have unfairly slighted our students. In response to a comment in which Rick Roach, the school board member who couldn't pass 10th grade math, implied that nothing on the test would be of any practical use, I wrote:
As someone who quite regularly has to teach introductory physics to students who struggle with it because they have a shaky grasp of tenth-grade math, I'm really not any happier with the…
esiegel | November 11, 2011"After all, facts are facts, and although we may quote one to another with a chuckle the words of the Wise Statesman, 'Lies - damned lies - and statistics,' still there are some easy figures the simplest must understand, and the astutest cannot wriggle out of." -Leonard Courtney, 1895
"The first and worst of all frauds is to cheat oneself." -Philip James Bailey
In the study of any scientific field, there are two great perils that you have to be careful to avoid: fraud and incompetence. Incompetence could be as innocuous as making a simple mistake in your analysis, a contamination of your data…
esiegel | September 21, 2011"When Columbus lived, people thought that the earth was flat. They believed the Atlantic Ocean to be filled with monsters large enough to devour their ships, and with fearful waterfalls over which their frail vessels would plunge to destruction. Columbus had to fight these foolish beliefs in order to get men to sail with him. He felt sure the earth was round."
-Emma Miler Bolenius, American Schoolbook Author, 1919
One of the most enduring myths that children grow up with is the idea that Columbus was the only one of his time who believed that the Earth was round; everyone else believed it was…
drorzel | August 19, 2011As a follow up to Wednesday's sad balloon post, the repair that lofted it back to the ceiling was a temporary reprieve, unsurprisingly. After 24 hours, more or less, it had sunk back down to the point where the ribbon was just barely touching the floor.
On the one hand, it looks kind of pathetic again. On the other hand, though, this is a chance to do some more physics. See, I know how much ribbon I clipped off the end to get it to lift off again, and if it's fallen back to where it's just touching the floor, that means that the buoyant force due to the displaced air has decreased by an…
drorzel | August 18, 2011I'm not much of a baseball fan, but we're edging our way toward football season, so I flipped to ESPN radio a couple of days ago, in time to hear Mike and Mike discussing Jim Thome's 600th home run. They were questioning how much meaning we should attach to home run records any more, given how many players were using steroids and other performance-enhancing drugs. In support of the record being a big deal, they played a clip of ESPN analyst Bobby Valentine pointing out that even with the steroid-inflated batting numbers, not that many guys are making a serious run at this particular milestone…
drorzel | August 12, 2011I am an inveterate driver of "back ways" to places. My preferred route to campus involves driving through a whole bunch of residential streets, rather than taking the "main" road leading from our neighborhood to campus. I do this because there are four traffic lights on the main-road route, and they're not well timed, so it's a rare day when I don't get stuck at one or more of them. My preferred route has a lot of stop signs, but very little traffic, so they're quick stops, and I spend more time in motion, which makes me feel like I'm getting there faster.
That's the psychological reason, but…
drorzel | August 1, 2011When I came up for my reappointment review three years into my professorial career, I was given a list of required materials to submit, which included a "statement of teaching philosophy." The same thing had been required for my job application, and at that time, I wrote about techniques and methods that had seemed particularly useful to me as a student (I had basically no teaching experience when I was hired), so for my reappointment, I wrote a statement looking back at what I wrote when I applied and talking about how I tried to incorporate those things into my teaching.
I passed the review…
sciencepunk | July 18, 2011YouTube artist and multi-instrumentalist Michael John Blake has been exploring the musical patterns within mathematics, by assigning each note on the major scale a numeral. In this wonderful composition he plays Tau, a number used in a similar way to Pi, for calculating values of circles and whatnot.
peconomy | June 24, 2011I am just now recovering from last week's Art of Science Learning conference in San Diego. For something that lasted just one-and-a-half days, there was an almost overwhelming amount of great presentations, great information sharing and exchange, and -- above all -- great people dedicated to moving the idea of the Art of Science Learning forward.
When I first made plans to attend, I did so as an observer. However, soon after the presentations began on the first morning of the conference, I became an active and engaged participant. Each presentation provided me with a deeper understanding of…
drorzel | May 31, 2011A bunch of people I follow on social media were buzzing about this blog post yesterday, taking Jonah Lerher to task for "getting spun" in researching and writing this column in the Wall Street Journal about this paper on the "wisdom of crowds" effect. The effect in question is a staple of pop psychology these days, and claims that an aggregate of many guesses by people with little or no information will often turn out to be a very reasonable estimate of the true value. The new paper aims to show the influence of social effects, and in particular, that providing people with information about…
tsmith | May 31, 2011I wasn't going to raise this comment en blogge, but with Dr. Isis' new post, it becomes more relevant. From Rick Fletcher on the "you're too pretty" post:
It's a major issue if your department won't hire your or promote you because you are a woman. It's no surprise that a retail clerk at a small shop in a downtown area is not the smoothest operator.
25 years ago it was a common response when I was introduced as a PhD chemist: "You don't seem like a scientist." Now it's a common response when introduced, "Why are you single?" People say some dumb things. Not exactly the news.
But again, it's…
mstorksdieck | April 1, 2011Within certain education and policy circles the acronym STEM (i.e., science, technology, engineering, math) has become a common term, used frequently to be inclusive when referring to a broad area of scholarship and enterprise we deem particularly connected, i.e., those listed four subjects. How, or even whether the acronym is understood and fashionable outside these education "insider" groups is not well know. What is known, though, is that the acronym and associated term is not well defined even within groups that make heavy use of it.
When we say STEM, do we simply mean any of the four…
peconomy | March 24, 2011I can still remember how excited I got in junior and senior high school when it was science fair season. My friends and I would kick around ideas and make elaborate plans for what we were certain would be that year's shoo-in winner of the school fair. And once we captured the school's top prize, we would surely breeze through the city, county, and state prizes -- all the way to the nationals. But while we never made it to the nationals (nor to the state, county, or city competitions), we still couldn't wait to work on our science fair creations each year.
One year I used some little-known-at-…
drorzel | March 18, 2011This year's NCAA tournament is being spread over four tv networks, so that every game is shown in its entirety. Previously, you got whatever game was deemed to hold the most interest for your region of the country, plus occasional looks in at games elsewhere, that usually managed to miss the most exciting bits. For a hoops junkie like me, this was fantastic, with the only problem being how to manage to overload. I eventually settled on switching channels every time whatever game I was watching went to a commercial, so I got to see a bit of everything.
I was struck, though, but just how often…
peconomy | March 14, 2011I am Peter Economy, and I have for as long as I can remember been a fan and practitioner of both the arts (specifically, the musical arts) and science. Some years ago, I had the very good fortune to be invited by Harvey Seifter to help him write a book on New York's Orpheus Chamber Orchestra and its unique leadership model. As you may know, one of the things that sets Orpheus apart from most other orchestras is that it has no conductor. Instead, different musicians within the orchestra take on leadership roles depending on their own talents and interests. The book -- Leadership Ensemble:…
drorzel | February 24, 2011My talk at the AAAS meeting was part of a symposium on the results from the 2008 Trends in International Math and Science Survey (TIMSS) Advanced. This is an international test on math and physics given to high-school students in nine different countries (Armenia, Iran, Italy, Lebanon, Netherlands, Norway, Russia, Slovenia, Sweden), and this is part of an ongoing survey, with a previous round given in 1995 or 1998. As part of the preparation for the talk, I got all the released items from TIMSS 2008, including score breakdowns and demographic information. My own analysis of this was fairly…