Punya Mishra’s Web

Niels Bohr, the 1922 Nobel Laureate in Physics once said:

The opposite of a correct statement is an incorrect statement. The opposite of a profound truth is another profound truth.

I was reminded of this when I saw this TED video. Check it out…

(h/t Andrew Sullivan)

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.

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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.

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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:

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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…

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A 5th grade science assignment, transformed. A rant about Mother Goose. A math poetry challenge!  How did that come to be? And what does that have to do with loving the Interwebs? Read on…

I had written earlier about how my 10 year-old daughter had been writing poems on science (Scientific Poems or Sci-Po’s for short). It all started with an extra-credit assignment she needed to do for her science class, and a need, I perceived, to keep her blog (Uniquely Mine) up-to-date. She has quite a few written now. For instance here is one about a news item about scientists finding dinosaur eggs (and other dino-stuff) in India (Cluster of dinosaur eggs found in southern India), and here’s the poem:

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I had written about the EduPunk movement earlier, in fact had even designed a logo for it.

A brief description of Edupunk can be found on Wikipedia (a google search will reveal many more). Wikipedia describes it as follows:

Edupunk is an approach to teaching and learning practices that result from a do it yourself (DIY) attitude. The New York Times defines it as “an approach to teaching that avoids mainstream tools like Powerpoint and Blackboard and instead aims to bring the rebellious attitude and D.I.Y. ethos of ’70s bands like The Clash to the classroom.”

Well, I am no expert on 70’s bands but the EduPunk title does appeal to me. It appeals to me because for the longest tie the main attraction of digital technology, to me, has been this DIY attitude, the fact that I can, over an evening or two, create a stop-motion movie with my kids (here or here), or mashup a commercial, or, in this case, create my own course website. The final product may not have the finish or sheen of a commercial product but it is in some key way “authentic.” It is mine. It embodies me, my sensibility, my approach, my vision in ways that other products can not.

For my entire tenure here at MSU I have constructed my own course-websites, cobbling them together with what I have often jokingly called “duct-tape and magic.” I have even written about this, long before the EduPunk moniker came along (see links at end of post). What I want to describe in this post are my current experiments (for my CEP817 Learning Technology by Design course) using using Wordpress as a learning management system, and boy am I impressed!! [My partner in crime in this is Kristen Kereluik, a graduate student in our program.]

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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.

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Patrick Diemer commented on my previous posting, All you can cheat, the web & learning by saying:

Do you have any words of wisdom or resources on how to create appropriate questions? This sounds great, but easier said than done in my humble opinion.

I started writing a response to his comment, but as I wrote on, I realized that it was better as a post in its own right. So here it is…
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Now here’s an important story coming out of Denmark: Students in Denmark Allowed Full Access to the Internet During Exams

I have always been a believer in allowing students to use any resources they can during examinations. If we care about authentic assessment, what can be more authentic than that. When I have a question that I need an answer to, or some topic I need to learn about, the first thing I do is go to Google. Why should students be denied that resource? Knowledge today is as much in our brains as it is distributed in artifacts (my laptop) and on the web. So it is heartening for me to read the following:

…the Danish government preach [sic] that the Internet is so much a part of daily life, it should be included in the classroom and in examinations.

With that belief, the government have taken the bold step of allowing full Internet access to several high schools during their final year exams. The implications of this are significant, particularly for the kinds of questions we ask in such exams. Clearly these have to change. No longer can we ask simple factual questions the answers to which can be easily found on the web. We have to ask questions that push students to compare and contrast opposing points of view, questions that push them to think critically about information, questions that push them to come to their own conclusions based on the information they can find.

I am not sure the Danish authorities have gone that far, yet. At least the story does not describe how assessment has changed. Their approach seems to be to constrain significantly the amount of time students have. As the story says:

Surprisingly, students themselves admit it’s not easy to cheat using the Internet during an exam. According to the JP news agency, students are given a very short period of time in an exam to sift through the mounds of data they can call up on the Internet to answer a single question.

One can argue that this is somewhat authentic, given that we often have limited time to come up with answers to questions.

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One who knows and knows he knows is a wise man, Follow Him
One who knows and knows not he knows is asleep, Awaken him
One who knows not and knows he knows not is a child, Teach him
One who knows not and knows not he knows not is a Fool, Avoid him.
– Attributed variously to Confucius, Socrates and others

I was reminded of this quote while reading an article by Ken Friedman titled, Design Science and Design Education and came across a section that described a view of learning. Friedman describes a framework on going from incompetence in a domain to mastery in the same domain. More specifically, Skoe talks of this process as having four key stages. These four stages are: unconscious incompetence, conscious incompetence, conscious competence, unconscious competence. Here is Friedman:
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There is a nice article in the State News about Jere Brophy including quotes from his daughter Cheri Spier, my department chair Dick Prawat, and my former advisee (now faculty member at Drexel) Aroutis Foster.

Read MSU professor dies, honored by colleagues as field pioneer

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.
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I had written earlier about the idea of “postdictable” which was defined as something that is “surprising initially, but then understandable with a bit of thought.” It lies at the spot between predictability and total chaos. The movie Sixth Sense is postdictable in the best sense of the world. Good teaching I believe needs to be postdictable. That is what keeps us engaged, keeps us waiting for more, the payoff as it were. And best of all, once all the pieces are in, we can’t wait to go back and review everything again, to see just how beautifully the whole thing holds together. There is a strong aesthetic component to this – a sense of wholeness, closure, elegance, and inevitability. Good poems have this quality, as do mathematical theorems. A well crafted lecture or a lesson plan has this quality as well. In my mind these ideas are closely tied to the Dewey’s idea of experience and to the idea of design. Hopefully I will have a chance to explore these connections in a later post but for now, here are a couple of commercials that I think were postdictable in a really cool kind of way.
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I had written a couple of days ago about William Kamkwamba, a Malawian high school student who built a windmill by looking at pictures in a book. From Bob Reuter’s website (Keep IT Simple!) I discovered a TED talk that William had given in England, back in July. Incidentally my son pointed out to me that we were actually in England at that time and could have (assuming we would have received tickets) actually heard him speak! How cool would that have been.

Anyway, here’s William Kamkwamba speaking at the TED conference.

The Daily Show featured William Kamkwamba, a Malawian high school student who built a windmill by looking at pictures in a book! I have always been a fan of jugaad, the idea of indigenous creativity using the detritus that seems to be a function of our modern world. And this is just an amazing story.

What is both incongruous and amazing is that we live in a world where there can be a terrible famine that a 14 year old has to drop out of school. And this boy finds a book at a library funded by some Western agencies, and looking at the pictures (he couldn’t read English very well) builds a windmill. The story ends up in the newspaper, and then hits the blogosphere. The kid ends up presenting at the TED conference in Africa!… and here is is on the Daily Show! Incidentally, Jon Stewart has a delicate balancing act as he tries to get this story across even while cracking jokes that his guest may not even understand.

Just how far Kamkwamba has come is best revealed by watching the video till the end… Watch for the discussion about Google.

As he says, “Where was this Google, all this time?”

Leigh Wolf, my partner in crime as far as the MAET program goes, recently presented at Ignite Lansing. She talked about her two passions, teaching and food (not sure which order to place these). Specifically she talked about food photography and the connections she sees between what she does there and her other life as an educator. It is a lovely presentation, and the video is now available on YouTube. Take a look.

The NYTimes has a op-ed piece today by Max Blumenthal about an obscure letter Eisenhower wrote to “Robert Biggs, a terminally ill World War II veteran.” Biggs was worried by ambiguity and uncertainty he seemed to observe in president Eisenhower. He wrote that he:

“felt from your recent speeches the feeling of hedging and a little uncertainty… We wait for someone to speak for us and back him completely if the statement is made in truth.”

What is amazing is that Ike took time out to write back to this person and something he wrote, struck a chord with me:

I doubt that citizens like yourself could ever, under our democratic system, be provided with the universal degree of certainty, the confidence in their understanding of our problems, and the clear guidance from higher authority that you believe needed.”

At this time, where people compare anybody that disagrees with them to Hitler, where town-hall meetings are disrupted for political and partisan purposes, where the air waves are jammed with birth-certificate controversies, Ike’s sane and pragmatic voice was wonderful to read. You can read the entire letter here.

Just discovered a podcast on TPACK (titled Understanding TPCK) at the msad75mltinews website. It appears to be based on the article (Too cool for school) that was recently published in Learning & Leading with Technology.

A while ago I had written about how we use language to capture intangible ideas – and the risks associated with not paying attention to these intangibles. I had said (though you can read the complete post A different language):

For instance wine connoisseurs have developed a specialized language (which sadly is quite opaque to me) to explain to each other characteristics of wine. So the words “fruity” and “dry” have specific gustatory connections… What we need to do is develop a language that allow us to somewhat consistently express and represent the intangibles of teaching, somewhat like what Bird does in explaining his music (or wine connoisseurs do when describing wine). The lack of such a language essentially prevents us from recognizing that classrooms are far more than 4 walls, a teacher and a bunch of students… and that aesthetics play a great role in the act of teaching and learning.

Now here is “scientific” proof of what I was saying. In goofing around on the web I came across this article on PubMedCentral titled Six senses in the literature. The bleak sensory landscape of biomedical texts. The authors Raul Rodriguez-Esteban and Andrey Rzhetsky argue that

When we read prose—whether technical or literary—our mind parses sentences to recover their meaning. Yet, the flow of the words themselves can invoke surprising or unexpected sensory responses, even for the writer. Even a very rational and technical text can typically affect the reader on multiple cognitive levels, in addition to its basic task of transmitting the author-intended meaning.

This led them to wonder about the kinds of words used in scientific texts, specifically biomedical texts. Being good scientists, the decided to test this out:

In this study, we therefore analysed the frequencies of use of sensory words and time-related terms in a large collection of biomedical texts, and compared the results with similar analyses of a collection of news articles, a large encyclopaedia, and a body of literary prose and poetry.

And what did they find? No real surprises here:

We found that, unlike literary compositions and newswire articles, biomedical texts are extremely sensory poor, yet rich in overall vocabulary. It is likely that the sensory-deprived writing style that dominates the biomedical literature impedes text comprehension and numbs the reader’s senses and mind.

In conclusion they say:

In short, we believe that scientific prose should be enriched with sensory words, provided that they clarify the meaning rather than obscure it, in much the same way as a good statistical data visualization involves the mapping of abstract data into colours and three-dimensional shapes, to help the reader or viewer discover meaningful patterns.

I think the analogy to visual representation is right on… and I could not agree more with their conclusion.

My daughter, whose creative exploits have been featured here before (for instance see her design for a math-music game), now has a blog, titled Uniquely Mine. It features original writing (poems, stories) by her. Do check it out. You can find regular updates on this blog via the beauty of RSS feeds on the right column (just scroll down).

The one piece by Shreya I would like to draw attention to is a story titled Obtuse can be right. She wrote this as a part of a fourth grade assignment, and it is pretty cool, with interesting geometry-related wordplay. Enjoy.

My friend Gaurav Bhatnagar (whose doggerel on ambigrams is featured on my blog as well) gave it high praise in his Facebook update, saying, “This is a masterpiece. Highly recommender (sic!). As good as Asimov’s short shorts.” I haven’t had a chance to see Asimov’s short shorts but I guess they are cool!

I spent some time last week with each of the MAET cohorts at Plymouth England. I have blogged about my time with Year 1 here and Year 2 here (as well as some other posts here and here). This is about what I did with the Year 3 cohort. As usual, I did my TPACK and creativity routine. Some of the poems and photos taken by the students are archived below.

Here’s a haiku by John Arcay
Many Ideas
Involves tweaking the right Knobs
Creativity

Here’s a song about the new NEW, Novel Effective Whole
(To be sung to the tune of The Beatles’ “I’m Looking Through You”)

I’m looking through you
with new ideas
The Novel remix
is relaxing
Making effective
Integration
Can be the whole
For all we know!

Bindu’s NEW Recipe
(Using the 5 steps of creativity and the criteria for creativity)

Preparation: A trip to the market
Incubation: Marinate!
Insight: Season to taste
Evaluation: Proof of the pudding is in the eating
Elaboration: Invite your friends and have a party
NEW?Novel, Efective, and Whole

And finally the photos from the letter search assignment. Since there were 19 students in the class (one more than the Year 2) I modified the assignment I had given Year 2, and just added an exclamation mark! So in essence, I did the same song and dance routine about the solution to Shulman’s three pathologies of learning being Relax, Repose, Reteach! (note the additional exclamation mark). And of course at the end, all was revealed. As it turns out, what they had been searching for were the letters to the words Explore Create Share! (once again with the “!” mark). Here are the two images.

Relax Repose Reteach!

Explore Create Share

One minute design ideas…

I had posted something similar here (from Bic to vase).

There is something deeper here than just cool design ideas though. What this video highlights is improvisation, creativity and a sense of play to repurpose artifacts for purposes other than what they had been designed for. In fact some of these designs find a use for what most of us would regard as trash.

It is this creative repurposing that is critical in this new world of teaching and technology (Technology Integration 2.0 and the TPACK framework). Teachers often look for the perfect technological solution to pedagogical problems they face. The fact is that there is no such perfect solution. In fact I argue that there is nothing like an educational technologies. Most technologies we regard as being educational in nature were not designed for this purpose. And yet, everything from a Excel spreadsheet to a Wiki; a GPS device to Audacity can serve as an educational technology, if appropriately repurposed! The sooner teachers realize that we live in a world where nothing is an educational technology…. and yet, everything has the potential to be. the better if will for all.

Scott McCloud over at Dangerously Irrelevant in his most recent post asks “Are our training efforts helping educators or enabling codependence?” This is a great question and one that all teacher educators with an interest in technology need to confront. I have always struggled with this – and varying levels of success in my own teaching (and in the MAET program I now direct). As he suggests what is needed is to develop a “willingness to probe, investigate, and experiment … [to] learn and master the tools.

It seems to me that videos such as this one highlight exactly the kind of free-form creativity we need to encourage in teachers: the ability to see a side-table in an old magazine, and a vase in a bic pen. It is only through similar creative repurposing that technologies can become educational technologies.

P.S. A key aspect of creative repurposing has to do with looking at the world with new eyes! Check out this movie titled SURFACE or Veja Du assignment on this very site.

Awesome retelling of the old tale… (h/t Steve Dembo @ teach42).

Slagsmålsklubben – Sponsored by destiny from Tomas Nilsson on Vimeo.

As Steve says (you can read his full post here) such remixing can provide interesting opportunities for teachers, particularly given the extremely powerful tools we have access to today. Think for a moment about this video. Constructing it requires, clearly, a knowledge of the technology. This requires some level of effort to acquire but frankly that is not particularly daunting. However this technical knowledge is not enough. To create a piece such as this one, utilizing a variety of narrative devices as well as visual styles and tropes, requires having a sophisticated understanding of visual and cinematic styles, their history and meaning. However, this is not enough either. Most importantly, and possibly hardest to develop, a the soft touch the video show. This is exhibited in the subtle irony and humor and in the fact that the video does not try too hard. This soft touch is the mark of a true artist, a person comfortable in their knowledge, comfortable enough to be willing to play with it, to push it to its limits, and yet, sensitive to not going too far.

Teaching, in my opinion, with our without technology, is similar. One can know the techniques, but that is not enough. One can know their history and how they help make things meaningful. This is valuable but not enough either. It is only when we develop this soft touch, this “feeling for the organism” of teaching that true transformational teaching can occur. This is not easy to achieve – but a goal worthy of aspiring to.

I love how these interconnected pipes called the Intertubes lead to serendipitous discoveries. Here are two videos, the first I went looking for, and the second, fell into my lap, so to speak, due to YouTubes related videos section.

The video I went looking for was based on a delightful book I had picked up at a garage sale a few years ago. “The Dot and the Line: A Romance in Lower Mathematics” is a little book (20 pages or so) with an intriguing story-line and its geometrical illustrations. The main character is a straight line who is in love with a dot – but sadly she is more attracted to a wild, unruly squiggle. How the simple line develops his talents and wins the love of the dot is told through whimsical (and mathematically sound) illustrations.

I learned later that the famous animator Chuck Jones had made this into a short film. Here it is (thanks to YouTube).

This is just a wonderful example of how mathematics and art, perception and recognition, creativity and design can come together. This book (and the movie) speak to me at so many different levels. What is most amazing is the ability we humans have to see purpose and meaning in the simplest of lines and curves. So much of art and science depend on this ability to perceive / construct patterns.

Nowhere is this more beautifully (and humorously) illustrated than in this other video I discovered. Written and narrated by Mel Brooks (yes THE Mel Brooks) this animated short film, The Critic, takes a different interpretive stance (crankier and edgier) than the previous narration. That this short animation captures, powerfully how we as humans both seek, and question, the meanings of the patterns we see around us.

I just finished reading parts of Sheri Turkle’s latest book, Simulation and its discontents, and the parallels to what she is writing about and Mel Brook’s Critic are quite strong. The cranky one man in the short recognizes or “sees” meaning is some of the abstract images he sees on the screen and yet he questions their value. The scientists and designers quoted in Turkle’s book echo some of the same concerns.

What is amazing is that the Mel Brooks short was made in 1963, the Chuck Jones movie was made in 1965 and Turkle’s book was published just this year, in 2009!

We have been talking about misconceptions in my summer MAET classes and one of my students sent me this hilarious link. There is really nothing much to say… just see it for yourself.

Another video that I saw for the first time today was Father Guido Sarducci teaches what an average college graduate knows after five years from graduation in five minutes.

Two videos, one on misconceptions and the other on retention! Perfect indictment of our educational system! Funny but also sad.

The recent (and ongoing) evens in Iran sadden me deeply… but also give me hope. The scenes and news emerging from there speak of courage and a need and demand for freedom. What is also amazing has been the use of technology particularly twitter to get news out of the country.

A few decades ago it was audio-cassette technology that led to the fall of the Shah of Iran. Ayotollah Khomeni had been exiled to France and his speeches would be secretly smuggled into Iran – where an informal underground network of people would dub and re-dub these tapes and pass them around. New technologies lead to new ways of sharing information, new ways to mobilize.

My heart goes out to these protesters as I obsessively track news coming out of Iran. The two best sources of news on this are Andrew Sullivan’s  Daily Dish and The Lede of the NYTimes. Or better still follow the incoming Twitter-feeds collected here.