What number, when written as a word in English, has all of its letters in alphabetical order?
For example, “six” doesn’t work, because the letter S comes before the letter I in the word, but S comes after I in the alphabet.
The word “begin” has all five of its letters in alphabetical order, but, of course, it is not a number.
Can you find the only number that meets this requirement?
UPDATE: Number identified by Jeff. See comments for answer.
I thought it might be fun to try something new with the “Question of the Week” feature here on the blog. Instead of asking my readers a question, I will offer up a question from the statewide examinations that New York City students take each year.
The purpose of this will not be for you to try to provide the correct answer, but rather to join me in examining the question. What does it tell us about student understanding? What do each of the wrong answers mean? What is this question testing? What is it really testing? What would students need to know and be able to do to answer this question correctly?
Sound like fun?
To differentiate this feature from the Question of the Week, I’ll call this the Item of the Week, which is what we call questions in the parlance of standardized testing.
Today’s item comes from the 2010 New York State Grade 4 Mathematics Exam. The strand is Measurement and the performance indicator is “4.M04 Select tools and units appropriate to the mass of the object being measured (grams and kilograms).” You can click the image for a larger view.
I like the layering of this question. First of all, the student needs to know which units measure mass and which don’t. If they answer A or D, they don’t. But to choose between B and C, students need to have some idea of how much a gram really is.
Sometimes these questions will have distractor answers that use numbers from the problem to try to trick students into choosing them. But there are no numbers in this problem. And all of the answers use the same number.
The trick here is in the first sentence. The fact that Mr. Patel moved his chair across the room is not relevant. But if you don’t know what “mass” means, that first sentence might trick you into thinking you are looking for a distance, in which case you might choose D. This assumes, of course, that you have no idea how long a kilometer is.
All in all, it seems like a pretty fair question that tests what it purports to test. In practice, it turned out to be one of the harder items for New York City students taking this exam.
As always, I invite further discussion.
Last year, I wrote that I didn’t need an iPad, because I had an iPhone and a Macbook Air. I still have them both, and they are still working out great. But my nephews got iPads for the holidays, and this is how I bond with them, so I had to get an iPad too. How’s that for a rationalization?
But now that I’ve bought one, I’m glad I did, because it’s adding value in ways I hadn’t anticipated. True, it is basically an iPod Touch with a larger screen, but that larger screen makes a big difference. There are a lot of things I can technically do with my iPhone, but usually don’t because the screen size is too small. And I’m finding it easier to do those things on the iPad.
So here are the top ten things you can do on an iPhone or iPod Touch that you can do better on an iPad:
1. Watch: I’ve been carrying around movies and TV shows on my iPhone for years, but I’ve watched more on the iPad in the last couple of months than I ever watched on the little screen. The Videos app (Included) is the very first app on my iPad. But I’ve also signed up for accounts with Netflix (Free app + $7.99/mo.) and Hulu Plus (Free app + $7.99/mo.) that let me stream video content from their impressive libraries. The combined monthly cost is far, far less than the Cable TV I’m canceling. And apps for YouTube (Included) and ABC Player (Free) help establish the iPad as a truly flexible video viewer you can take anywhere.
2. Connect: The power of social media has risen incredibly in the past year, and the App Store (Included) has kept pace. There are a variety of apps to help keep you connected, but I use Reeder ($4.99) as my Google Reader client, Friendly (Free) as my Facebook client, and Twitter (Free) as my client to access the Twitter account I finally broke down and created so that I could follow the national conversation where it seems to have gone. You can also consolidate the three, and much more, in one app called Flipboard (Free), which formats the content into a friendly magazine layout for casual browsing. There is also a WordPress app (Free), which allows me to blog on the go, and Yahoo! Messenger (Free) – actually an iPhone app – which lets users exchange text messages and participate in voice chat. And the iPad Mail interface (Included), designed for the larger screen, is much easier to use than its iPhone counterpart.
3. Read: The biggest surprise for me on the iPad is how much I love my Kindle app (Free), which lets me download books from Amazon and read them on the iPad. And these are real books that I actually want to read, not the limited eBook selection available through Apple. However, there are a lot of places online to get free books in ePub format, which can then be imported into your iTunes library and read on iBooks (Free), so you should definitely get it. I’m a fan of Offline Pages ($4.99), which allows you to save websites (from the iPad or from your home computer) and read them on the iPad, even after you’re no longer connected to the Internet. I also highly recommend the Shakespeare Pro app ($9.99) if Shakespeare’s your thing, and the Newspapers app ($2.99), which lets you access local newspapers from across the country on a daily basis.
4. Play: Any game you can play on the iPhone, you can play on the iPad, either in the original size, or expanded to fit the screen (sometimes with the expected loss of quality). But the expanded real estate has given developers something to code about, so there is a whole spate of new games and revamped versions of old games at the ready. Plants vs. Zombies is the absolute best game to ever grace the iPhone, and Plants vs. Zombies HD ($6.99) is even better on the iPad. Games like Cover Orange HD ($0.99) and Cut the Rope HD ($1.99), which combine tricky puzzles with engaging animations, demonstrate a new level of what is possible in portable gaming. Even the simple games, like Saving Seeds HD ($0.99) or Aces Traffic Pack HD ($2.99), really make you feel like you’re using a next generation device. I was able to play GT Racing: Motor Academy ($0.99) with my two nephews, each of us on our own iPads, racing each other on the same track. This was cool on a level they could not possibly appreciate.
5. View: I’d be remiss if I didn’t discuss how viewing photos is better on the larger screen, obvious as it may be. The iPad has a built-in Picture Frame feature, which lets the device function as a digital picture frame when it’s not otherwise in use. There are also apps that take advantage of the view, like Beautiful Planet HD ($0.99) that shows high-quality images from across the globe, and The Guardian Eyewitness (Free), which shows a different news photo every day. And The Elements ($13.99), the flagship app of the iPad, is everything it’s hyped to be: an interactive periodic table in which you can rotate high-quality 3D images of each of the elements. But it does take up almost 2GB of storage space, so don’t even bother with it if you’re only working with 16GB.
6. Work: The iPad is expensive to begin with, so it seems worth it to me to invest just a bit more in the iWork suite – Pages ($9.99), Numbers ($9.99), and Keynote ($9.99) – to add value to your device. I’ve also become fond of GoodReader ($2.99), which reads PDF files, and Teleprompt+ ($9.99), which allows you to load up text documents from your desktop and use the iPad as your own portable teleprompter. Try that with an iPhone.
7. Organize: I’ve actually not had a problem with the Calendar app on the iPhone, but the iPad’s Calendar interface (Included) makes it possible to see my whole month at a glance, which is a useful feature. As a MobileMe user, I like to use iDisk (Free app + $99/yr. for MobileMe) to coordinate between my desktop, laptop, iPhone, and iPad, but if you’re not a member, I’ve heard good things about Dropbox (Free app + Dropbox account). And I have to mention the Delivery Status app ($4.99), which lets you follow multiple packages from FedEx, UPS, etc. as they are tracked through the system.
8. Browse: The fact that the iPhone had a fully functioning web browser was a major breakthrough, but the iPad takes it a step further. It’s not only that the screen is larger, but also the fact that it allows you to view the full versions of your favorite websites, as opposed to the version optimized for mobile devices. Safari (Included) also syncs your bookmarks bar from its desktop counterpart (via MobileMe, I think), which I have found very convenient. It’s worth checking to see if the websites you frequent have their own apps as well. I recommend Google (Free), WolframAlpha ($1.99), and Articles ($4.99), which is a sharp-looking Wikipedia client.
9. Explore: Here’s how you know you are living in the future. Download GoSkyWatch Planetarium (Free) to your iPad. Then point it at the sky at night. It will display for you the same stars at which you are gazing, along with their names and even the constellations drawn in. Move the iPad around and the display will adjust. It’s also worth getting Solar Walk ($2.99), which gives you more freedom to move around the solar system and see what’s going on, including watching our own artificial satellites as they orbit around the Earth. The more expansive interface also breathes new life into old favorites such as Maps (Included) and Google Earth (Free).
10. Distract: So you’ve bought your iPad and now the kids want to play with it. What can you download to keep them out of your online banking app? The boys have their favorites, but Elena, who is now almost two, can work the icons along with the best of them, even knowing to hit the menu button when she’s bored with one app and wants to switch to another. Voting with her fingers, she recommends Sound Touch ($2.99), Art in Motion ($2.99), Tesla Toy ($1.99), and Drawing Pad ($0.99). Ian (age six) is really into roller coasters, so he enjoys games like New York 3D Rollercoaster Rush HD ($4.99) and Underground 3D Rollercoaster Rush HD ($4.99). But he really loves an app called Coaster Physics ($0.99), which lets him design his own roller coaster and then ride on it as he learns about kinetic and potential energy. He also likes to practice his Dolch sight words with All Sight Words ($0.99) and play Math Bingo ($0.99), while his older brother Jason (age eight) prefers MathBoard ($3.99) to hone his arithmetic skills. I highly recommend the BrainPOP Featured Movie (Free) and PBS’s SUPER WHY! ($3.99), two excellent educational apps by sources from whom we’d expect no less. And there are a whole host of apps that simulate baking different sugary confections, but Cupcakes! XL ($0.99) makes the best use of the iPad’s capabilities.
I certainly mean no disrespect to the iPhone. It’s still, hands down, the coolest thing I’ve ever owned, including the iPad. It has a phone and a camera and it fits in my pocket, so the new kid is really no threat. The iPhone is also better for listening to audio, recording voice memos, MusicID, and playing Doodle Jump or Catan. Most of the things I do with the iPad are things I wasn’t really doing with the iPhone anyway. So the iPad did add value after all.
And now all of my portable digital requirements really are met, and I therefore have no need for any new thing that should happen to be introduced by Apple or anyone else.
Do I?
The Antony and Cleopatra project is going well. Yesterday, I used the play to help the sixth-grade students make connections to present-day world events.
Antony and Cleopatra takes place in the first century B.C., a time when there was one global superpower in the world. By the time of the play’s opening scene, the Romans had scooped up most of the Hellenistic nations; only Egypt remained independent. However, both Romans and Egyptians were well aware that Egypt was living in Rome’s shadow. Philo has the opening speech of the play, and his racism and entitlement are readily on display:
Nay, but this dotage of our general’s
O’erflows the measure; those his goodly eyes,
That o’er the files and musters of the war
Have glow’d like plated Mars, now bend, now turn
The office and devotion of their view
Upon a tawny front; his captain’s heart,
Which in the scuffles of great fights hath burst
The buckles on his breast, reneges all temper,
And is become the bellows and the fan
To cool a gipsy’s lust. Look! where they come.
Take but good note, and you shall see in him
The triple pillar of the world transform’d
Into a strumpet’s fool; behold and see.
For a rank and file Roman soldier to speak of the Egyptian queen as “tawny” and a “strumpet” sets the tone for a world where there is an unequal balance of power.
Today, there is once again a single global superpower in the world, but that has only been true for the past twenty years. In fact, there have only been a handful of unchallenged superpowers in world history. (The Macedonians and the Mongols are the other two that come to mind. Others?) Therefore, this play offers a unique opportunity to explore power dynamics in our present world community.
How does it affect the world when there is one dominant superpower? What opportunities does that country have? What are its responsibilities in the world? How did Rome handle its power? How does the United States handle its power?
We had a fantastic conversation, and I think the students have a new lens for viewing both the play and world affairs.
There is only one posting to the message board, but I’m patient. And it looks like I am going to be working with an eighth-grade class on As You Like It asynchronously. I’ll be meeting with them the week after next, but most of our interactions will be online. Watch this space for updates!
UPDATE (That was fast): I’ve just added an Antony and Cleopatra category, so you can follow along with the project.
I’m a copy of files, because some might delete;
I’m the extras a cop calls for help on the street;
When a loud beeping truck makes a careful retreat;
And support for performers with voices or feet.
Who am I?
UPDATE: Riddle solved by Asher. See comments for answer.
Don’t do anything Sir Toby wouldn’t do.
Here’s a cool math video by a “mathemusician” named Vi Hart, with a hat tip to Jeff Branzburg for the link.
Last month, I was giving a workshop for principals on Instructional Rounds, a method of structuring conversations about best practices based on classroom observations conducted in teams, when an interesting question arose. I asked them if teaching was an art or a science.
In this context, it was more than just a philosophical question. If teaching is an art, like music or painting, then each teacher should be allowed as much freedom and creativity as possible in developing a personal teaching style. If, on the other hand, teaching is a science, like medicine or physics, then we must determine best practices through research and establish standards and methodologies for the profession that all are expected to follow.
Carol Ann Tomlinson calls teaching a science-informed art, an answer the group liked, but I’d like to take a closer look at the question. The way we view the profession affects everything from how we train teachers to how we evaluate their performance. So is it an art, or is it a science?
Perhaps the distinction between the two isn’t as clear-cut as we think. Teaching may be a “science-informed art,” but what art hasn’t been influenced by the sciences? Each artistic discipline codifies what works and what doesn’t, and even the most promising young talents must study for many years to perfect their craft. There are certainly examples of highly successful art forms and artists that are defined largely by breaking the rules, like jazz or Picasso, but even they are influenced by science. Would Picasso’s “Blue Period” have been possible if Heinrich Diesbach hadn’t developed an affordable blue paint? And you can’t just play anything you like in improvisational jazz; you really have to know what you’re doing. In other words, it doesn’t mean a thing if it hasn’t got that swing.
Science, on the other hand, has a lot more intuition and creativity than it generally gets credit for. It comforts us to think of medicine as a hard science, but a lot of times doctors just have to go with their best instincts. I may have seen too many episodes of House, but let me ask you this: If you had to go in for surgery, would you prefer a young surgeon who recently graduated from a top medical school with a high GPA, or would you prefer a doctor with 25 years of experience doing this kind of surgery with a high success rate? And the most creative, mind-blowing stuff we’ve seen lately is coming out of the field of theoretical physics. Einstein famously said that imagination was more important than knowledge, and we have more knowledge because of his imagination.
So in deciding if teaching is an art or a science, we have to look at art and science for what they really are: two ends of a continuum, rather than binary opposites. But where on the continuum does teaching belong? The term “Instructional Rounds” borrows its name from the medical profession. But others refer to a similar activity as a “Gallery Walk” which takes its title from the arts.
There is, of course, a third option that falls outside of this continuum. In this option, teaching is neither an art nor a science, as each word implies a skilled and knowledgeable practitioner. It is simply a trade, one that can be standardized and learned. In this view, teaching is not a profession at all. I reject this idea, but it becomes part of the conversation nevertheless. And so, I bring back the Question of the Week by asking you this:
Is teaching an art or a science?
I’ve just added a new category called “Blended Learning” which is something I’ll likely be writing about in the next few months. Blended learning, for us, will refer to a learning model that consists of any combination of traditional face-to-face instruction with technology-enabled learning that takes place outside of the regularly structured school day.
The reason that I’ll be writing about this is that I’m currently working with a school that is part of the NYC Connected Learning program. All of the 6th grade students in the school have been given desktop computers to take home, as well as free broadband access to the Internet. The school is already using the Moodle online learning management system, so we have a real opportunity to leverage this powerful tool to extend learning beyond the school day.
I am currently setting up an online classroom for a 6th grade class on Shakespeare’s Antony and Cleopatra. The space is private for the students and other invited members of the school community. I can post documents, links, and message boards for the students. I will have limited opportunities to work with them in person, so this will truly be a blended learning model. I may also be setting up an online classroom for 8th grade students studying As You Like It who I may not even be working with in person at all. (This would still count as blended learning, as they would be studying the play in class.)
Do you have any suggestions about what I should include in the online classrooms?