Archive for the 'Math' Category

Plantagenetics

Tuesday, December 2nd, 2014

In which I defend the honor of the Queen…

The DNA reports are in, and the skeleton they found in that Leicester parking lot is now confirmed to be that of King Richard III. Analysis also shows he had blonde hair and blue eyes.

Somewhat overshadowing the exciting news is a discovery that came from the research team’s comparing the old king’s DNA to that of his present-day relatives. It turns out that there is a break somewhere in the male-line continuity of the Y-chromosome, the collection of genes that are only passed from father to son, suggesting a false paternity event somewhere in the timeline.

The news media, with its trademark restraint, has jumped all over this, trumpeting that the already much-maligned Richard has infidelity in his family tree, with some even suggesting that this means that the Queen may not even be the legitimate heir to the throne anymore.

Okay, let’s all take a breath now. Her Majesty’s reign is in no danger here.

I spent a lot of time this past summer with my nose buried in the Plantagenet family tree, and may be able to add a modicum of perspective.

You can read the science team’s original report here, but a brief summary should suffice. Richard III and his distant cousin Henry Somerset, Duke of Beaufort are both direct male-line descendants of King Edward III. The Duke has five male-line descendants alive today who agreed to participate in the study, and four of them share the same Y-chromosome, presumably inherited from Beaufort. The one who doesn’t suggests a false paternity event (or “cuckolding” in the parlance) at some point along the way, but that’s not the infidelity that made the headlines. Richard III’s Y-chromosome also doesn’t match the Duke’s, which means that at least one of them is not actually a male-line descendant of Edward III.

Okay, so that’s pretty saucy news in itself. But it’s an overreach to drag Queen Elizabeth II into this story for several reasons.

First of all, what is the probability that the break in paternity is even in Elizabeth’s line? Here is the family tree for the relevant players (scroll down to the “Geneology of the Y chromosome lineage” graphic). It shows fifteen paternal links between Edward III and Beaufort, and only four between Edward III and Richard III. Assuming only one false paternity (which is all that’s been established here) and that all paternity events are equally likely to be false, the odds are 15:4 in favor of Beaufort being the non-heir rather than Richard. Also, if Richard III’s own parentage is the false one, it doesn’t affect Elizabeth, as she is descended from Richard’s older brother King Edward IV. So the odds of the break even being in Elizabeth’s lineage is 16:3 against or just under 16%.

Still, a 16% chance the Queen is illegitimate would indeed be headline-worthy, but let’s examine this claim more closely. Here it may be helpful to refer to the family tree I put together for Shakespeare’s King Richard III. In the column all the way to the right, close to the center of the column, you can find Henry Tudor, Earl of Richmond. This is the future King Henry VII. Five slots down, you can find Elizabeth of York.

Henry and Elizabeth will wed, and their offspring will include King Henry VIII and his sister Margaret Tudor. If you look one column to the left, all the way at the bottom, you will see Richard Plantagenet, Duke of Gloucester. This is the future King Richard III. From here on, I will use “Richard Plantagenet” to refer to his father, the Duke of York, who is also on the chart.

Queen Elizabeth II is descended from Margaret Tudor, which means that she is a descendant of Richard III’s brother Edward IV. Edward became king as a result of the Wars of the Roses, which were fought between the houses of York and Lancaster. His claim comes from his father, Richard Plantagenet.

Richard Plantagenet does indeed inherit his surname from his paternal lineage through the York line, being the grandson of Edmund of Langley, the First Duke of York. However, Richard Plantagenet stakes his claim to the throne from his mother’s side, as Anne Mortimer is descended from Edmund of Langley’s older brother, Lionel, Duke of Clarence. What’s more, Richard Plantagenet’s wife, Cecily Neville, who is mother to Edward IV and Richard III, is the granddaughter of John of Gaunt, who is also an older brother to Edmund of Langley (though younger than Lionel, Duke of Clarence). Henry VII is also descended from John of Gaunt.

What all of this means is that even if the Y-chromosomal break is in the 16% that would make Richard Plantagenet illegitimate, it would not affect Edward IV’s claim to the throne. It would therefore not affect Margaret Tudor’s legitimacy, nor would it affect the current monarch.

More to the point, it’s been almost one thousand years since William the Conqueror defeated the Anglo-Saxons in the Battle of Hastings, beginning the dynasty of which Queen Elizabeth II is the current representative. What else don’t we know? It seems very unlikely that, were a complete set of the genetic data magically available to us, Elizabeth would emerge as the clear genealogical winner. Not only do we have a millennium of regal shenanigans to wrangle with, but there is also the human element to consider. A lot of the lineage disputes from the past have been settled by people’s decisions and actions: who had political power, who was a bastard, who won a war, who was the right or wrong religion, etc. The question of whether women could inherit the crown changed the equation at several crucial junctures, so applying a single standard throughout English history would certainly change the outcome.

The bottom line is that we basically don’t know anything about anything, and we certainly don’t know much more today than we did yesterday. Queen Elizabeth shouldn’t start packing her bags based on this new revelation.

UPDATE: In the post, I claim the odds of the false paternity event being in the Queen’s lineage is 16:3 against. However, she is also descended from two other candidates: John of Gaunt and his son John Beaufort, the Earl of Somerset. So the odds of the break being in her ancestry would actually be 14:5 against. But she doesn’t derive her claim to the throne through this line either, so the rest of the argument still stands. See the comments for a clearer explanation.

Shakespeare Follow-Up: Circumnavigation

Friday, November 29th, 2013

When, in A Midsummer Night’s Dream, Oberon sends Puck to fetch the magic flower, he gives him a deadline:

Fetch me this herb; and be thou here again
Ere the leviathan can swim a league.

I don’t know how fast the Leviathan could swim, so let’s talk about whales.

According to the New York State Department of Environmental Conservation, the fastest whales can reach speeds of up to 40 mph. If you Google “40 miles per hour in leagues per minute” it will convert the speed for you; it’s about 0.193 leagues per minute. So it would take about 5.18 minutes for the world’s fastest whale to swim a league, and I doubt it would take the Leviathan any longer.

Puck’s not ready to promise that. He responds:

I’ll put a girdle round about the earth
In forty minutes.

He’s going to need more time than Oberon asked, but to be fair, he’s going to take the long route.

Is it possible to do a complete circumnavigation of the Earth in 40 minutes? Puck’s got some powerful magic behind him, but that seems like a pretty fast journey. The Earth is almost 25,000 miles around. This claim needs a Shakespeare Follow-Up.

The 16th century voyages of Magellan and Drake would have been known to Shakespeare when he wrote the play. But these expeditions took years, and Puck didn’t have that kind of time. Over the next few centuries, many would make the trip, but it was always measured in years.

In 1873, Jules Verne wrote a fantasy novel called Around the World in Eighty Days, which documents a fictional attempt by Phileas Fogg to achieve the title journey in order to win a bet. Fogg travels by railroad and steamship, which gives him an advantage over his purely nautical predecessors. While they have to navigate around landmasses, he gets to travel a more direct route. Also, he’s a fictional character, but so is Puck. In the real world, the current record for sailing around the world belongs to French yachtsman Loïck Peyron. He ended his journey in January 2012 after 45 days, 13 hours, 42 minutes and 53 seconds. His prize? The Jules Verne Trophy.

Impressive as that is, Puck’s not going to make his deadline in a sailboat. What about hitching a ride on the Moon, a naturally orbiting satellite with close ties to the play? Well, as you might guess, the Moon takes about a month (29.5 days) to show its phase to the Earth. That’s faster than Peyron, but not fast enough for our time-pressed friend.

Shakespeare’s England wouldn’t have known any more of modern flight than Puck’s Athens, but we need to cut down our time. In 2010, Riccardo Mortara, Gabriel Mortara, and Flavien Guderzo set the record for a jet airplaine circumnavigation in 57 hours and 54 minutes, beating the Moon by a significant margin but still falling short of our goal. Being a fairy, Puck might have some connections to Santa Claus, who reportedly can make the worldwide journey in a single night. But to really pick up some speed, Puck should look into a spacecraft.

In 1961, Yuri Gagarin completed the first orbit of the Earth in 108 minutes. Now, we’re talking! There have been numerous orbits since that historic trip. I haven’t been able to find the fastest orbit, which is strange since you’d think that would be a big deal. I did find someone on a space message board who claims that Apollo 17 holds the current record at 87.82 minutes. I haven’t been able to find a source confirming that, but I haven’t been able to find a source contradicting it either. So given our current state of technology, the fastest estimate of a non-magical human circumnavigation given by even Internet hearsay is more than twice as long as Puck’s 40-minute promise.

So what happens in the play? After Puck leaves, Demetrius and Helena enter, have a scene together, and exit. Then, Puck returns with the flower. The length of the scene can certainly vary between productions, so to get a reasonable estimate, I consulted the relevant scene in two audio recordings from my collection. In the Arkangel version, Puck departs at 11:40 and returns at 15:40. He is away exactly 4 minutes. In the Naxos version, Puck is even faster. He’s gone from 9:11 to 12:54, for a total of 3 minutes and 43 seconds. We don’t know if he fulfills his ambition to put a girdle round about the earth, but it seems that he does indeed return ere the leviathan can swim a league.

Even a freewheeling sprite like Puck understands the importance of working on the boss’s timetable.

Shakespeare Follow-Up: Age of the Earth

Friday, October 11th, 2013

When, in As You Like It, Orlando threatens to die of unrequited love, the disguised Rosalind has some words of wisdom for him:

The poor world is almost six thousand years old, and in all this time there was not any man died in his own person, videlicet, in a love-cause.

Whether or not one could actually die from love will be beyond the scope of this Shakespeare Follow-Up. But we do want to examine how close is Rosalind’s estimate of the age of the planet to what we believe today.

Almost 6,000 years was a good guess for Shakespeare’s day. But today, scientists believe the Earth is over 4,500,000,000 years old, give or take. How can we account for such a breathtaking discrepancy?

Early estimates for the age of the planet were based on Biblical scripture. God created Earth “in the beginning” which puts its origin on the first day of creation. Adam was born on the 5th day, and then the begetting began. Genesis actually goes into quite a bit of detail about how old each begetter was when he begat, so a literal interpretation and little bit of arithmetic was all that was necessary to trace how much time passed since the first day of creation and pinpoint the age of the earth.

Dating creation at 4000 BC was a popular estimate during Shakespeare’s lifetime. Shortly after Shakespeare’s death, Bishop James Ussher published a chronology that placed the creation of the universe on Sunday, October 23, 4004 BC. Hey, someone has a birthday coming up!


But how many candles?

Still, nature was rife with clues that were ready for us when we were ready for them. As early as the 17th century, Nicolas Steno noticed the questions raised by fossil evidence and rock stratification, and other naturalist scientists would find reason to revise the Earth’s age gradually upwards.

In 1862, Lord Kelvin (before he was Lord Kelvin) used the cooling rate of the Earth to place its age at around 98 million years. That’s not quite there yet, but Lord Kelvin was getting warmer!

In the 20th century, scientists began measuring the decay of radioactive isotopes for dating objects that are very old. This is called “radiometric dating” or “radioactive dating,” but I’m only going to call it radiometric dating because I already have something that I call radioactive dating. Radiometric dating puts a rock native to Quebec, the Acasta Gneiss, at over 4 billion years old, and certain zircons found in Western Australia turn out to be over 4.4 billion years old. Based on non-terrestrial evidence, scientists put the age of the solar system at around 4.567 billion years, meaning the Earth can’t be any older than that. This gives us a window between 4.4 and 4.567 billion years to place our best guess.

Although science is long past the time of an Earth whose age could be measured in the thousands, the general public is not as unified. According to a 2012 Gallup poll, 46% of Americans believe that “God created human beings pretty much in their present form at one time within the last 10,000 years or so.” Now, there is a difference between the age of the Earth and the age of the human being, but there is a lot of scientific evidence that humans have been around a lot longer than 10,000 years. Suffice it to say that the first homo sapiens are believed to have evolved in Africa about 200,000 years ago.

But whether, in all this time, there was any man who died in a love-cause, I leave as a question for the reader.

Shakespeare Follow-Up: Cosmology

Friday, October 4th, 2013

The inaugural Shakespeare Follow-Up is dedicated to Rebecca.

As she can tell you, when Puck is first introduced in A Midsummer Night’s Dream, he meets a fairy who tells him:

I do wander every where,
Swifter than the moone’s sphere;

But what is the moon’s “sphere” and why should we believe it is particularly swift? To fully appreciate this line, and many like it across the canon, it’s important to know a little bit about how Shakespeare and his contemporaries viewed the cosmos.

In the Metaphysics, Aristotle described a system of concentric spheres, based on the works of pre-Socratic philosphers. Each observable planetary body, including the Moon, was embedded in one of these spheres. The spheres were made of transparent matter, in contact with one another, and able to rotate independently. (Positing a thin layer of WD-40 between spheres would have been beyond the technological capabilities of the ancient Greeks.) The Moon’s sphere was the closest to the Earth, and therefore, could move the fastest. This was followed by Mercury, Venus, the Sun, Mars, Jupiter, Saturn, and the sphere of the stars. Outside the spheres was the Prime Mover, which is the original source of all motion. God, if you like.

Claudius Ptolemy was an astronomer living in Alexandria in the 2nd century AD, while Egypt was part of the Roman Empire. Ptolemy noticed that some of the data, particularly retrograde motions of the planets, could not be explained by the existing model. He added the idea of epicycles, spheres rotating within spheres, which allowed for irregular movement of the planets, and the concept remained the dominant cosmological model for centuries.

Around the 12th century, Aristotelian concepts (including Ptolemaic cosmology) became intertwined with Christian theology. By the time Copernicus developed his heliocentric model in the early 16th century, it was not only a challenge to Aristotle and Ptolemy, but also to Church teachings that God put man in the center of the universe.

This is the world that Shakespeare and Galileo were born into in 1564. The theories of Copernicus were known, but not commonly accepted as true. It should be noted, however, that even Copernicus accepted the idea of celestial spheres; he just put the Sun in the center instead of the Earth. Shakespeare makes reference to the spheres all throughout his plays, often metonymously for the cosmos as it affects our fates, or simply as a shared cultural reference.

So the Bastard in King John can ask “Now, now, you stars, that move in your right spheres,/ Where be your powers?” as Demetrius in A Midsummer Night’s Dream observes “Yet you, the murderer, look as bright, as clear,/ As yonder Venus in her glimmering sphere.”

Fixed and unchangeable, the spheres also serve as a convenient metaphor for the rightfulness of hierarchies here on Earth. Shakespeare draws this comparison often, most notably in this speech from Ulysses in Troilus and Cressida:

The heavens themselves, the planets, and this centre
Observe degree, priority, and place,
Insisture, course, proportion, season, form,
Office, and custom, in all line of order:
And therefore is the glorious planet Sol
In noble eminence enthron’d and spher’d
Amidst the other; whose med’cinable eye
Corrects the ill aspects of planets evil,
And posts, like the commandment of a king,
Sans check, to good and bad: but when the planets
In evil mixture to disorder wander,
What plagues, and what portents, what mutiny,
What raging of the sea, shaking of earth.
Commotion in the winds, frights, changes, horrors,
Divert and crack, rend and deracinate
The unity and married calm of states
Quite from their fixure!

When we see the Sun referred to as “the glorious planet Sol,” it has the power to remind us just how much distance is between the scientific understanding of Shakespeare’s time and our own. And reading this in 21st century America, we also feel the gap in worldview as we see hierarchic culture defended so fiercely. Both celestial spheres and geocentrism will likewise fade in the century following Shakespeare’s death, but the ideas remain forever embedded in Shakespeare like the planets in their spheres. Thus, we understand that when, in 1 Henry IV, Hal tells Hotspur that “Two stars keep not their motion in one sphere,” it’s Elizabethan for “This town ain’t big enough for the both of us.”

Astronomers during Shakespeare’s lifetime, most notably Tycho Brahe and Johannes Kepler, already began using observational data to cast doubts about both geocentrism and the celestial spheres. The observation of comets was making the sphere model difficult to maintain. Galileo also took up the idea of heliocentrism and, after a long battle with the Church, was pressured into recanting. But the theories of Isaac Newton and the Scientific Revolution later in the 17th century gave heliocentrism a much stronger grounding in modern science which led to a wider acceptance as the culture became more open to the reexamination of our scientific understandings.

It wasn’t until the 20th century, however, that science learned that none of these models was the center of the universe, but rather one solar system among billons across a vast sprawling cosmos.

One can only wonder what Shakespeare might have done with such a revelation.

Don’t Be Rotten to the Core

Wednesday, October 2nd, 2013

I thought I’d take this opportunity, while the federal government is shut down over the question of its own power to legislate, to talk about another somewhat controversial initiative, namely the Common Core State Standards.

It should be noted that this is not a simple left-right issue. At a recent conference, I heard Kim Marshall joke that he never thought he’d see national standards because “the right doesn’t like national, and the left doesn’t like standards.” So, as you might expect, the Common Core seems to be embraced by moderates in both parties, while being attacked by extremists on both sides. Teachers and parents, who are the most directly affected by the changes, express the same range of opinions as policymakers and pundits. So, the discussion continues.

To get a sense of the issues involved, as well as the general tone, check out this New York Times editorial by Bill Keller, and this response by Susan Ohanian.

For the record, I agree with the Bill Keller editorial (you can just change that “K” into an “H” and we’re good). I’m a fan of the Common Core, though I have a number of concerns about the way it’s being implemented. But I respect the opinions of many who oppose it, and understand the quite valid reasons why they do. Unfortunately, most of the rhetoric that I encounter against the initiative is either focused on areas that have very little to do with the standards themselves, or are based in a fog of misinformation.

Now, if you’ve read the standards, and you honestly believe that we should not want our students to be able to cite evidence from informational texts to support an argument, I’m very willing to have that conversation. If you think the Common Core shifts aren’t the right direction for our students, I’m very willing to have that conversation. If you have a problem with emphasizing literacy in the content areas, I’m very willing to have that conversation. That’s just not the conversation I’ve been hearing about the Common Core, and if we’re going to discuss these very large-scale changes in the way they deserve to be discussed, we need to clear the air of distractions and distortions.

With that in mind, I present the Top Ten Most Common Objections to the Common Core, and my responses to them. This is meant to be the beginning of a conversation and not the last word, so please feel free to continue the discussion in the comments section below.

1. The Common Core is too rigorous. The standards are not developmentally appropriate.

I think we’re feeling that now because we’re transitioning into these standards from a less rigorous system. If students come in on grade level, what they’re being asked to learn in each year is very reasonable. The problem is that we’re so far from that “if,” that the standards can often seem very unreasonable. Add to that a rushed implementation, complete with career-destroying and school-closing accountability, and the Common Core expectations can leave a very bad taste in our mouths.

What’s more, the Common Core includes qualitative shifts as well as quantitative shifts, so students will be as unfamiliar with the new ways of learning as their teachers are. The good news is that each year we implement the Common Core, students will become more used to Common Core ideas such as text-based answers and standards of mathematical practice, and will be better prepared for the work of their grade each year. It will likely get worse before it gets better, but I do think there is a light at the end of the tunnel, and it will at least become visible in the next year or two.

2. The Common Core is not rigorous enough. My state had better standards before.

Well, the standards are meant to represent only the minimum of where students need to be in their grade level in order to be on track for college and career readiness by the end of Grade 12. So if you can meet these standards and then exceed them, more power to you. States that adopt the Common Core are also free to change up to 15%, and to add additional standards as well.

So here in New York State, we added Pre-K standards that aren’t in the national version, we put in additional standards throughout the documents (including Responding to Literature standards in ELA and teaching money in early-grade math classrooms), and we still retain the state-wide content standards in social studies and science that students need to pass their Regents. And even where states are slacking, a high-performing school won’t suddenly lower their standards just because they can. That’s not how they became high-performing schools in the first place.

3. The Common Core is a mandated top-down program that infringes on state control of schools.

The Common Core is not mandated by the federal government. States can choose to adopt the Common Core or opt out. I hesitate to present the most blindingly obvious of proofs, but here we go: not all of the states adopted the standards. Some states chose to opt out. That should suffice as proof enough that states can choose to opt out if they want to.

Did the federal government sweeten the deal by adding Race to the Top incentives for states that adopted the Common Core? Yes. But that’s bribery, not coersion. You can say no to a bribe, even if you need the money. And this wasn’t even that much of a bribe, as everyone knew there were only going to be a limited number of states that won Race to the Top funding and Common Core adoption was far from a guarantee.

Whether you love or hate the Common Core, it was your state legislature that adopted the standards, and the credit or blame should be placed there. States are just as capable of having cynical self-serving politicians as the federal government is, and don’t let anyone tell you otherwise. But some states may have genuinely adopted the Common Core to improve education for their students, even if you don’t think it will.

Frankly, I’m no more a fan of Race to the Top than I was of No Child Left Behind. I don’t think states should have to compete for education funding. And there were other incentives in the Race to the Top formula I had issues with, like the charter school expansions. But these are criticisms of federal education policy, and not the Common Core standards themselves.

4. The Common Core is a result of the corporate reform movement that’s undermining public education.

Maybe.

I don’t think the standards do undermine public education, though, and I believe the people who actually put them together are earnest in their attempts to improve it. I’m not blind to some of the strange bedfellows involved with the process, but if an idea leads to good things, I don’t care where it comes from. This is an argument that just doesn’t work on its own. Just because Bill Gates funded it, it isn’t necessarily Windows 7. Zing!

5. The Common Core is only about testing and accountability.

I hate to break it to you, but the testing and accountability movement has been around a lot longer than the Common Core. We’re already teaching to the test, so it makes sense to design a better test, one worth teaching to. You can read about early attempts to align New York’s state-wide exams to the Common Core in this article, and I’m quoted towards the end, but the bottom line is that they didn’t go very well.

Two multi-state consortiums are now hard at work to build a better test, though this turns out to be a tougher job than they originally thought. They are talking about having students take the state-wide (actually, consortium-wide) tests on computers, which means that every school needs to have computers. That could be a logistical nightmare in itself, but it could also mean more funding for computers in schools.

In New York City, teachers are being evaluated through a system that uses test scores, in one form or another, as 40% of a teacher’s score, while the other 60% will be based on the Danielson Framework. In my opinion, that’s a vast improvement over using test scores alone, which even the Gates-funded MET study doesn’t endorse.

6. The Common Core is a conspiracy to keep the poor uneducated.

No, that’s what we have now. There is a strong correlation between socioeconomic status and academic achievement. Having a set of common standards is one step in the process of attempting to close that gap.

7. The Common Core replaces literature with government manuals.

That simply isn’t true. There is an entire section of the standards that covers Reading Literature. There may be a government manual listed somewhere in the examples of informational texts, but it’s disingenuous to hold that up as the centerpiece of Common Core expectations for student reading. Anyone who makes this argument is either unfamiliar with the standards, or uninterested in engaging in a serious discussion about them.

8. People are making money from the Common Core!

This is true, in as much as we need people to write tests, publish classroom materials, and train teachers. But we would have needed this anyway, Common Core or no.

Liberals tend to think that everyone should do their jobs with the purest of motives, and if someone’s profiting from something, it must be an evil conspiracy. Conservatives tend to believe the opposite: that if you made money from an idea, then that proves the idea had market value, and those who improve the system deserve to profit from their innovations. I take a more neutral view of profit’s correlation with good in the world. I work in teacher training, and the Common Core affects what I teach, but not how often I teach or how much money I make. I have no financial interest in defending the Common Core.

Keller’s editorial estimates the costs of the new tests at about $29 per student, in a system that spends over $9,000 per student in a year. You might not like the Common Core for other reasons, but cost alone can’t be the only reason to oppose it.

9. These Common Core-aligned materials I have are bad.

I don’t doubt it. But just because a product claims to be “Common Core-aligned,” it doesn’t mean that it is Common Core-endorsed. I have no end of problems with the range of “Common Core-aligned” curricula being rolled out by New York City alone. This is not a function of poor standards, but rather poor implementation.

By the way, a lot of the Common Core-aligned materials were delayed getting into schools this year, even as teachers were required to start using them. You don’t have to convince me that we’re having implementation problems.

And I spent last summer modifying my own organization’s social studies curricula to be Common Core-aligned, and I feel strongly that our products improved immensely because of it.

10. The Common Core is untested, and shouldn’t be implemented on such a large scale without a pilot program.

This is from Reign of Error author Diane Ravitch, and she makes a fair point. But nothing’s written in stone. The standards will work in some ways and need mending in others. And where they need mending, we’ll mend them. Ten years from now, we may come to see the current version of the Common Core as a really good first draft. Or we may remember it as New Coke. There’s no way to know until we try it out. That can be used as an argument for it as well as against it.

I do think that we should do everything we can do to make it work. That’s the only way we’ll really know if it doesn’t.

Honorable Mention: President Obama is for it, and therefore I must be against it.

Hey, look! Someone over there is getting health care.

I really do see a lot of parallel between the Affordable Care Act debacle and the Common Core controversy. Tea party Republicans want to talk about how Obamacare will destroy the economy and force the government between you and your doctor and lead to the apocalypse, but they really oppose it on ideological principles. If they would talk about their principles, we could have an honest debate, but they know these principles sound cold and selfish, so they obfuscate. Common Core opponents dance around the actual changes being made in education because most of them make sense. The real concern, as I see it, is the danger of the larger corporate-funded movement to use testing and data to prove the ineffectiveness of public education in order to move to a privatized free-market system.

That’s a concern worth discussing directly, and I’m very willing to have that conversation.

Thursday Morning Riddle

Thursday, March 14th, 2013

In the ancient Greek alphabet, I can be found.
I’m how many acrosses go all the way ’round.
I’m irrational, infinite, yet strictly bound,
And a tasty dessert shares the way that I sound.

Who am I?

UPDATE: Riddle solved by Asher. See comments for answer.

Shakespeare Anagram: Hamlet

Saturday, November 10th, 2012

From Hamlet:

I cannot live to hear the news from England;
But I do prophesy the election lights
On Fortinbras.

Shift around the letters, and it becomes:

Math prognosticator Nate Silver predicted the whole state finishing roll, one-none.

Fun hobby!

Shakespeare Anagram: Twelfth Night

Saturday, October 6th, 2012

From Twelfth Night:

One face, one voice, one habit, and two persons,
A natural perspective, that is and is not!

Shift around the letters, and it becomes:

In an occasion vociferous as debate, the president was real, not that naive opponent.

UPDATE: I’m having problems loading the embedded video, so here’s a direct link.

Shakespeare Anagram: Romeo and Juliet

Saturday, September 15th, 2012

From Romeo and Juliet:

But, let them measure us by what they will,
We’ll measure them a measure, and be gone.

Shift around the letters, and it becomes:

The melee damage-buy seems mutual where Rahm blew a test-result law by the union.

Conundrum: Prospero’s Books

Tuesday, August 21st, 2012

Jack Prospero buys individual hard-bound volumes of 31 different Shakespeare plays and an empty six-shelf bookcase to put them in.

He puts 3 plays each on the first and second shelves. He puts 5 plays each on the third and fourth shelves. He puts 7 plays on the fifth shelf, and 8 plays on the sixth shelf.

Within each shelf, the plays are in alphabetical order. The titles are exactly as they appear on this list. Ignoring any leading “The” or “A” articles, they are alphabetized by these exact titles.

And, as it turns out, the plays within each shelf are also in exactly the same order as they appear throughout that very same list!

One of the six shelves has only plays with the letter “F” somewhere in the title. A different shelf has no plays with any punctuation marks in the title. One shelf has more than half of its plays containing the word “King” in the title. Pairs of shelves with the same number of books in each are ordered alphabetically by first title.

Can you list the plays as they appear on each shelf?

UPDATE: Puzzle solved by ArtVark. See comments for answer.