I am now, officially, a published poet! My poem on imaginary numbers (The Mathematical "i") was published in the March 2013 issue of At Right Angles, a school mathematics journal. You can read my poem on my website here: The Mathematical "i" You can...
Posts related to: Mathematics
Celebrating Euler’s birthday
Google has a new doodle out today (the 15th of April) to celebrate the 306th birth anniversary of Leonhard Euler, the Swiss mathematician and physicist. This prompted some reflection on his work (and some mathematical poetry)... At the bottom right of the doodle above...
Creativity Symposium at SITE2013
We just completed our symposium at SITE titled: Breaking Disciplinary Boundaries in 21st Century Learning: Creative Teaching with Digital Technologies. The symposium consisted of 7 presentations followed a summary by Teresa Foulger (of Arizona State University). In...
Of Art and algorithms: New article
The latest in our series Rethinking Technology and Creativity in the 21st Century is now available. The article was co-authored with Aman Yadav of Purdue University (and the Deep-Play Research Group) and focuses on the art and science of computational thinking. We...
TPACK Newsletter, Issue #15, March (Special Conference Issue) 2013
TPACK Newsletter, Issue #15: March 2013 Special Spring 2013 Conference Issue Below please find a listing of TPACK-related papers/sessions that will be presented at the SITE conference in March in New Orleans, Louisiana; at the AERA annual meeting in April in...
Square Peg, Round Hole, Good Engineering (new article on creativity & learning)
Our latest article on the series Technology, Creativity & 21st Century Learning is now available (link and the complete reference given below). Co-authored with Colin Terry, Dr. Danah Henriksen, and the Deep-Play Research group, this focuses on creativity in the...
Crayons are the future: New article on technology & creativity
Over the past year or so I have moved my line of research into teacher creativity particularly focusing on ideas related to trans-disciplinary creativity and what that means for teaching and learning in the 21st century. In this effort I am joined by an awesome group...
How do we measure TPACK? Let me count the ways
The interest in the TPACK framework has led to a upsurge in ways of measuring TPACK development. Matt, Tae Shin and I recently published a survey paper on different ways of measuring TPACK, abstract and title given below. I was particularly pleased with the title we...
The gift that keeps on giving, or Why I love the web
I recently received this email: Dear Mr. Mishra, I am currently working on a poetry research project for school, and one of the requirements is researching five different poets. While looking for people who wrote palindromic poetry, I found your website and decided to...
When tech comes first: The Khan Academy as leading pedagogical change
As I go around the country talking about the TPACK framework, one of the questions that is always put to me is, about which comes first when planning a lesson, content, pedagogy or technology. The standard answer is that content comes first since it is only after we...
Learning Games & TPACK @ Drexel: Video now online
Back in January I was invited to speak at the Drexel Learning Games Network (DGLN) seminar series. As I had written in my original post (TPACK & Games @ Drexel), DLGN is the brainchild of Aroutis Foster, former graduate student, now rising star academic and...
TPACK Newsletter #9, March 2011
TPACK Newsletter, Issue #9: March 2011 Special Spring 2011 Conference Issue Below please find a listing of TPACK-related papers/sessions that will be presented at the SITE conference in March in Nashville, Tennessee; at the AERA annual meeting in April in New Orleans,...
Dabbling to see: A rant
My friend and colleague Leigh Wolf forwarded me this article on Edward Tufte: The Many Faces (And Sculptures) Of Edward Tufte. I have been a fan of information design guru Edward Tufte's work for years (decades?). I love his emphasis on clarity and simplicity in...
Martin Gardner, RIP
Martin Gardner, 1914 - 2010 Martin Gardner died five days ago. Gardner was an influential writer about mathematics and was one of the greatest influences on me (and my friends) as I was growing up. His recreational mathematics column was the main reason I subscribed...
SITE 2010, symposium on TPACK
I just got back from an extended trip to California (San Jose and San Diego). I will be posting a lot more about this trip but for now here are the slides from a symposium on "Strategies for teacher professional development of TPACK" organized by Joke Voogt of Twente...
The infinity of primes (proof as poem)
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...
Limerick on Math & Beauty
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...
Teaching design, some ideas
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,...
Stuck with Google (recursively)
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...
A tangent, a line & a circle, another Math-Poem
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...
The mathematical “i”
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...
Math-Po (Mathematical Poetry): Goldbach’s Conjecture
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."...
Poetry, Science & Math, OR why I love the web
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...
Postdictable, the commercials
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...
Obtuse can be right!
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...
Information is beautiful
Anybody who knows me (and/or reads this blog) will know of my love of issues related to representation (see all postings under that category). So I am always looking out for new and interesting representations. An lovely example sent to me by Patrick Dickson is...
Visual proofs
I just came across these lovely visual mathematical proofs. For instance consider the following sequence: 1/2 + 1/4 + 1/8 + 1/16 + ... = 1 and then see the following image on the blog!! How cool is that!!!! I had posted about something similar earlier (see visualizing...
Making (non)sense of dots & lines
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...
Too cool for school: Using the TPACK framework
Matt Koehler and I just published an article in Learning & Leading with Technology, the membership magazine of the International Society for Technology in Education (ISTE). The complete citation is as follows: Mishra, P., & Koehler, M. J. (2009, May). Too Cool for...
Special CITE issue on TPACK
The CITE Journal had a recent special issue devoted to TPACK. You can access the special issue (edited by Judi Harris and Matt Koehler) here or individual articles below. Bull, G., & Bell, L. (2009). TPACK: A framework for the CITE Journal. Contemporary Issues in...