The video below has been getting a lot of attention on the blogs lately, and despite that it is pretty good. No kittens riding skateboards or mentos and Coke here. Just a beautifully constructed take down of TV News. A must see for all media literacy courses.

Check it out.

The math-po (and sci-po) stream keeps flowing. Math Mama Writes, who started the whole math-poetry movement has some more on her blog, and here is Erin Nash with some really beautiful biological poetry. And of course, here’s her husband Sean Nash having his students writing poetry too. Of course let’s not forget my daughter Shreya (who sort of started this whole thing) and her sci-po’s at her blog Uniquely Mine.

Below are some thoughts about math-poetry – but you can ignore all that and scroll right down to the poem: The infinity of primes!

Math art by durentu

Through all this I have been plugging away at my math poetry. I know the original challenge was to write something to motivate students to learn math (and I did write one along those lines). But more interesting to me has been this theme I have picked up, which is of writing proofs as poetry. I know many people have described mathematics in poetic terms but I am trying something slightly different here. I am trying to explain theorems (as in these couple of instances, see here, here, here and here) and speficially in the poem included below, I am actually trying to construct a mathematical proof in rhyming verse.

Read the rest of this entry »

The Rethink Scholarship is an scholarship for aspiring art directors and designers to Langara College’s Communication and Ideation Design program. This video is to publicize the program.

Image credit: eoliene_pe_campii

Mathematical Beauty: A limerick
Punya Mishra, Jan 27, 2010

Doesn’t it just gladden your heart to see

These games we can play with infinity?

How can one stay aloof

From the elegance of a proof

And remain immune to mathematics’ subtle beauty?

Image Credit Leeks

As readers of the blog know, Matt Koehler and I work together quite a lot. In fact we just rotate author-order in our papers since it is hard to keep track of individual contributions. (I would like to claim that the cool ideas are mine – but again he is bigger and stronger than me so I don’t often do that, at least not any more.) We are also huge fans of Douglas Adams and his Hitchhiker’s Guide to the Galaxy trilogy (which consists of 4 books, something that makes perfect sense if you have ever read Adams). Anyway, a bunch of years ago we decided that we needed to act on our love for this man, and his writings, by citing him in an academic paper. To our great pride, we did it! In fact we started the article with a citation to Adams.

Read the rest of this entry »

I stumbled across this little machine that shuts itself off once it has been switched on! How cool is that. I don’t have an clue whom to credit it to and would appreciate a heads up on that. I was reminded of the myth of Sisyphus which led to a great piece of hand-drawn animation on YouTube. So here they are… somewhat apt images for a dull, dreary day in mid-Michigan.

You can watch the Sisyphus youtube video here. And here is a link to another small animated gif about Sisyphus.

I recently received an email from a teacher in Poland, seeking advice for a curriculum outline for their Design Technology Section. They said, and I quote:

Unfortunately, I have minimal experience with the subject as a teacher or as a student in my younger years, consequently, I have little background as to what a DT class should look like.

As you might guess I’m struggling trying to put together some sort of DT curriculum for our Middle School.

Our small school does not not have any kind of fabrication equipment so our DT class is currently heavy on IT design aspects….(web design, research on a topic and devise a solution, book creation,etc… )

The specific request was for”some useful and practical information that I can implement fairly easily.”

Is this what design is? by StephenMitchell on Flickr

As I crafted the response I realized that (given my lazy self) that it would make a good blog post. So here is what I wrote back:

Read the rest of this entry »

Sean had this wonderful post on his blog (Is this a sluggish strategy?) about this whole scientific and mathematical poetry that is going around. He links to some excellent sci-po’s written by his students (see Pushing Scientific Thought Into Art) and also provides a nice protocol for those who want to apply it in their own classrooms.

It is amazing to me just how this idea has spread. It has en-livened my life, I can say that much. Anyway, I wanted to say thanks to Sean (and his students) – and what better way to say it than in verse. So here is: For Sean & his students

Read the rest of this entry »

The other day, for one reason or another, I did a Google search for the word “recursion.” According to Wikipedia, recursion

… in mathematics and computer science, is a method of defining functions in which the function being defined is applied within its own definition; specifically it is defining an infinite statement using finite components.

This is a screen shot of what Google gave me as a result of my search: (Click on the image for a larger version).

Look carefully at what Google suggests. It says.

Did you mean: recursion

The exact same word that I had searched for… For a moment or two I thought I had found a glitch in Google’s suggestion mechanism… but it suddenly hit me, that this was exactly what recursion meant! If I clicked on that link I would be taking the first step into an endless cycle, an infinite loop, which would end only when I “got it.”

This has been an inside joke amongst programmers for a while. Wikipeda provides one example from a hypothetical dictionary that goes as follows:

Recursion

If you still don’t get it, see: “Recursion”.

So in some sense Google provides a “working definition” of the word – that explains it better than just reading a definition in a dictionary. How cool is that. I think it is little games like this one that make Google so much fun to use.

(I must add that this is not a new discovery. The Wikipedia page about recursion does mention this Google trick – but it was new to me!)

Those who follow this blog know that I love visual wordplay. This is most commonly seen in my ambigram work but another area where I have spent some time is in writing palindromic poetry. I wrote a whole series of poems when I was in graduate school at Illinois and they have been online, moving from server to server, for over 15 years now. I had written about my interest in palindromic poetry a couple of time before (see this and this). Now these were pieces created for fun and I had no real intention or interest in doing anything with them. I wasn’t even sure if anybody ever read them. That is, till a couple of days ago…

Read the rest of this entry »

A tangent, a line and a circle
A math poem

Image credit: chrstphre (on Flickr)

A point outside a circle,
shoots out two lines
one heading for the center
the other more feline
smoothly kisses the curve
That delicate swerve
of the ball and then, abruptly
turns to the center,
making an angle
and meets the first
which went on straight
To thus form a triangle.

The angle formed by the tangent
And the other line, the radius
the mathematical mind sees
is exactly 90 degrees!

And funnily enough, it doesn’t matter
where the initial point is, the starter
Where ever it may be
(as long as it is outside the circumference)
The angle will always be 90!
Did that make sense?

A poem on the fact that a tangent to a circle is perpendicular to the radius drawn to the point of tangency. See image below

Image from ETC, an online service of Florida’s Educational Technology Clearinghouse

I guess ’tis the season of Math-Po’s! Sue VanHattum, whose challenge started all this, commented on my recent Math-Po (Math-Po (Mathematical Poetry): Goldbach’s Conjecture) by providing an example of her own writing, a poem titled Imaginary Numbers Do the Trick. That piece so inspired me that I spent the next hour (and a good part of a faculty meeting), writing one on the same idea. A close read of both these poems (hers and mine) will reveal that I was more than inspired… some phrases and words from Sue’s work insinuated themselves into my pre-frontal cortex and ended up in my poems. As they say, plagiarism is the sincerest form of flattery. Read, The Mathematical i, after the cartoon…

Read the rest of this entry »

My previous post (Poetry, Science & Math, OR why I love the web) mentioned a challenge by Sue VanHattum of “Math Mama Writes” to “write a little kids’ poem … and that tells of the beauty of math, or, that mentions math and challenge, both in a positive way.” Well, I got inspired and took a part of my lunch break today to write something up. I am not sure it technically fits Sue’s challenge but here it is none the less. [If you are interested in learning more about the history and mathematics behind Goldbach's Conjecture, one of the oldest unsolved problems in mathematics, check Goldbach's Conjecture on Wikipedia.]

Goldbach’s Conjecture
Goldbach, a mathematician, serious and stern
Many years ago noticed a pattern
He wrote, to Euler, the math genius
Here is something, he said, to excite us!

I have seen, he scribbled, with my imagination
That every even digit
(except two, which doesn’t fit)
Can be broken into a partition
Of two primes which add
To the original even digit
(Now, Euler, don’t fidget!)
But isn’t that totally rad!

Now since that day this simple thesis
Remains just that, a hypothesis
Forcing number lovers to lose their slumber
As they try to prove, primes in pairs can add up to any even number.

(Two is the exception, as we said before
Which is, come to think of it, a bit of a bore).

You can see an original of the letter that Goldbach wrote to Euler at mathisgoodforyou.com.

I had written previously about a blog started by students in our Educational Psychology and Educational Technology Ph.D. program (ideaplay.org) and had designed a couple of ambigrammatic logos for them. You can see the original post here. Here is one of the original designs I had provided:

Read the rest of this entry »

I recently received the following email:

Sir, I was reading the article in Wikipedia on ‘Samarangana Sutradhara’ (King Bhoja’s treatise on Architecture). I was of the impression that there is no translation of the work in English. Though the article says that there is a translation by you of the work, the list of your works and publications on your webpage does not include any such work. Kindly let me know if you have indeed translated the treatise. If so kindly let me know how I can access a copy.

The fact that I had translated this ancient Sanskrit treatise came as a surprise to me.

Read the rest of this entry »

I have had a lot of fun this year playing with video. Most of these experiments were done with my kids (nothing like combining work with pleasure). One of the things we had done last year was a stop motion new year’s card. So we just HAD to create one this year as well. Enjoy!
[FYI: Links to last year's creations can be found below]

Best Wishes for 2010!
from Shreya, Soham, Smita & Punya!

Here is a list of other explorations in video made in the past year or so with family. As you may notice some of these movies (particularly the series Explore, Create, Share) are ones that I use in my teaching – nothing like getting your kids to do your work for you

• Finding Nemo, the sea-quel
• Shreya’s friends animate their names
• Explore | Create | Share (3 short videos with typographical twists at the end)
• A commercial mashup
• Happy 2009 (last year’s stop motion card)
• or, view the complete collection (including the great Hari Puttar trailer)

Have a wonderful new year!

Our family’s stop-motion animation festival continues with our latest offering: Finding Nemo, the sea-quel!!  This movie was conceptualized by Shreya and filmed by all of us over a couple of days. What was interesting about this movie was just how many technologies got utilized in creating it (a complete list comes at the end of the movie) – and just how seamlessly these different tools could be integrated together. As we have been making these movies I have seen a greater level of sophistication and thinking from both my kids about the possibilities of stop-motion animation in particular and the visual aspects of telling a story through film. I can pretty much step back and let them do it. That has been fun to watch.

Anyway, before the movie, I need to give a shout out to our family friend, Amol Pavangadkar, who made all this possible by helping us create a really cool animation stand. We were inspired by this design and here it is, in use, by Shreya’s friends, as they made their animation movie.

So using this set up we have already created three movies. You can see the first one here, the new year’s card here and the third one below. Enjoy, Finding Nemo, the sea-quel!

My daughter, Shreya, had some friends over yesterday and they created a short stop-motion animation film with the new setup in our basement. Enjoy

More videos made with my kids can be seen by clicking here.

Numbers are a gas! (Image credit: Phillie Casablanca)

Numbers are seen as being critical to developing our understanding of a subject. As Lord Kelvin, (1824-1907) said:

… when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind.

More succintly he said, “To measure is to know.” Numbers provide us (particularly academics) with credibility.

Of course this dependence on mathematics and numbers can often be misplaced. I am always impressed how we use numbers mindlessly – sometimes to levels of accuracy that don’t really convey much. I was reminded of this while reading a recent NYTimes article A Deluge of Data Shapes a New Era in Computing.

Read the rest of this entry »

Students in my CEP 818 (Creativity in Teaching and Learning) have been using digital photography to explore a variety of topics related to trans-disciplinary creativity. I hope to showcase some of their work on this blog once the semester gets over. In the meanwhile, I received an email from Michael Hughes, a former alumnus of this course, and a teacher in Jakarta, Indonesia. In his email he provided some links to some really cool work his students have been doing.

Read the rest of this entry »

What a wonderful quote…

Already every bank of any importance probably uses calculating machines. It is not likely that the fatiguing and uncertain process of having arithmetical calculations of any sort performed in the brains of clerks will survive the improvements of which these machines are capable. Account books, invoices, and all similar documents will doubtless be written by a convenient and compendious form of combined calculating machine and typewriter, which we may suppose to be called the numeroscriptor. … It will make any kind of calculation required. Even such operations as the weighing and measurement of goods will all be done by automatic machinery, capable of recording without any possibility of error the quantity and values of goods submitted to its operation.– T. Baron Russell, A Hundred Years Hence, 1906

(H/T Futility Closet)

Ambigram.com is a website about ambigrams and the people who make them. Lots of cool stuff for enthusiasts and novices alike. They often conduct competitions and other fun challenges for readers. One recent one was related to palindromes. In brief, they challenged people to create palindromic ambigrams. This is something I had tried a few time a long time ago – but their challenge pushed me to go back and come up with some solutions.

Well, I ended up with more than I had anticipated. I now have a technique, using which, anybody can create a palindromic ambigram of any length! How cool is that.

What is a palindromic ambigram you ask? A palindrogram? An Ambidrome? Read the rest of this entry »

How does technology change what we do? Often when a new technology appears we tend to see it in terms of existing practices and structures. So an e-book is the same as a book, except in digital format. E-books still have “pages” which we “turn” (with a flick or our finger or if you are stuck with the Kindle, by pressing a button), though digitality does not require pages or turning them. Similarly the design of most early online courses attempted to replicate face-to-face modes of teaching (capturing lectures through video, for instance), instead of pushing for exploring the possibilities of this new medium. This is often most obvious in the kinds of iconography that new technologies generate. So the icon for Microsoft Word document looks like a piece of printed paper, an email-box looks like a regular mailbox (think AOL and its “You’ve got mail” message) and so on.

However, new technologies do not just replicate what we could do before – they insidiously and fundamentally change the nature of the tasks we perform. Think of the idea of hyperlinks! Regular texts go hypertextual through developments like the table of contents, indices etc. however, these are weak attempts at best. True hypertext emerges only through digitality.

I was reminded of this when reading a recent NYTimes article on video bingo and the controversies it is causing in Alabama. The article begins by describing traditional bingo:

Everybody knows what this is: dozens of people, mostly retirees, hunched over paper grids in a smoke-filled American Legion hall on a Sunday evening listening eagerly to a woman recite numbers.

Now we have a new player on the block, video bingo! which is described as follows:

But what about this: a dim warehouse of flashing, jingling video terminals with names like Boomtown Bonanza where, early on a weekday morning, people sit on stools pushing buttons and watching cherries and 7s reel by.

Read the rest of this entry »

For Halloween, my daughter, Shreya’s fifth grade class entertained a bunch of first-graders with a spooky music and dance show. A news reporter was there and her photo (Shreya’s not the news reporter’s) ended up on the cover of The Towne Courier, the local community newspaper. Here is a link to the story and since it may not remain online forever, I have kept a screenshot here. Here she is, dressed up as a Spider Queen(?), spinning “a musical web on her xylophone.”

I came across this sign when I was in India recently and I just HAD to take a picture of it.

Click on the picture for a larger version

Of course, much of the effect comes from the inadvertent yet appropriate peeling of the paint from the letter “R.” But fun nonetheless.

What do you think this is?

Take a guess…

Well, it is the top half of a lake-reflection ambigram. What this means is that if you reflect what you see along a horizontal line at the bottom of the image, the picture you will then get will spell a word. Can you figure out what it says?

While you think about that, let me tell you about this new group-blog set up by graduate students in our Educational Psychology and Educational Technology Program. The blog is called IdeaPlay and is available at ideaplay.org. So sitting here in India I had a few moments to sketch out some ambigrams for their blog. Here are two…

The first is a rotational ambigram that reads the word “Idea” if you go clockwise and the word “Play” if you go anti-clockwise.

And as for the lake reflection ambigram (half of which you saw up there)… well (no great surprise) it reads IdeaPlay as well, like so..

I hope you liked these new ambigrams, and I hope you will check out the the ideaplay.org blog.

Robin Revette Fowler sent me a message on Facebook regarding my recent posting(s) about moving from incompetence to mastery (see the two previous posts here and here). She took issue with my idea that mastery requires some kind of meta-level, self-awareness. She said

It seems like the issue is with either the meaning of “mastery” or perhaps with the types of skills you’re talking about.

Conscious/unconscious knowledge is especially interesting to me re: linguistics. Most native speakers have only unconscious competence of their language– I used to hear Writing Center tutors telling ESL students, “you need an ‘a’ here; I don’t know why” all the time. Many NNSs, on the other hand, have much stronger conscious competence– they often know “rules” about how to use determiners much better than Native English speakers, for example. At the same time, I’m not sure they would be said to have “mastery.”

And I don’t know that the conscious competence is the important thing here. Would you argue that only linguists who can describe their determiner choices have “mastery” of English grammar?

At first blush Robin seems to be making a good point. Do writers need to know how and why they do what they do they do as long as they get it right? There is a surface plausibility to the argument but I am not sure that it stands muster if we dig deeper.
Read the rest of this entry »

In a couple of previous posts I had talked about the idea of postdiction (see the posts here and here). The argument being that good teaching (among a long list of other good things) is postdictable, i.e. it walks the line between predictability and chaos, and most importantly makes sense post hoc. To make my point I had posted a couple of videos that were good examples of being postdictable.

Closely connected to the idea of postdictable is the idea of creating anticipation and suspense. Once again other artists (particularly those working in temporal media such as film, and advertising) seem to have grasped the importance of this earlier than educators. Good film-makers can create suspense out of pretty much the flimsiest of materials. Think of the first scenes from Tarantino’s Reservoir Dogs. The way the scene builds tension out of a disagreement over whether or not to tip is pitch perfect. There is more tension in that scene than in dozens of other “suspense” thrillers.

However making suspense work is difficult. Navigating this line between predictability and tension over the unknown is a fine art. (This is where, of course, the connection with postdictability becomes most clear.)

Check out the two videos below, which highlight just how fine the line is between succeeding at creating suspense and anticipation and failing to do so. Both of these videos are interesting and well made – both have pace and rhythm but one of them builds anticipation while the other just happens. One tells a story, the other doesn’t.
Read the rest of this entry »

The Lansing temple recently organized a special Diwali program. My daughter Shreya participated in a dance and I, as always, took photographs of the event. Click here or the image below to see all 161 of the photographs I took.

Enjoy.

You can also read a poem written by Shreya on Diwali on her blog Uniquely Mine.