Mathematical paradoxes & ambigrams: New article

by | Tuesday, April 07, 2015

paradox-meme

I have always loved paradoxes so it is with great pleasure that the fourth article in our series on Art and Math (co-authored with my friend Gaurav Bhatnagar and published by At Right Angles) focuses on paradoxes and visual wordplay. It was great fun coming up with a range of designs on this topic — in fact we had so much material that we had to break it down into two articles.

You can download all of the articles in the series Of Art & Math by following the links below

  1. Introducing Ambigrams: Blog postDirect link to PDF
  2. Symmetry: Blog post | direct link to PDF
  3. Self-SimilarityDirect link to PDF
  4. Paradoxes (Part 1): Direct to link to PDF

A few randomly selected blog posts…

Mishra & Koehler, 2006

The Mishra & Koehler (2006) article is the first and somewhat definitive presentation of the TPCK framework. The complete reference and abstract are given below, as is a link to the original article [pdf format]. Mishra, P., & Koehler, M. J. (2006)....

Wicked problems, Design & Horst Rittel

Matt Koehler and I have often talked about the wicked problems of design and teaching with technology (most specifically in our handbook chapter on TPACK). We take the idea of wicked problems from a classic paper written by Rittel and Weber back in 1973. As Wikipedia...

Handbook of TPCK

Handbook of Technological Pedagogical Content Knowledge (TPCK) for Educators, Edited by The AACTE Committee on Innovation and Technology
A Co-Publication of Routledge/Taylor & Francis Group and the American Association for Colleges of Teacher Education

Buy it at Amazon.com (Now available!)

This handbook addresses the concept and implementation of technological pedagogical content knowledge — the knowledge and skills that teachers need in order to meaningfully integrate technology into instruction in specific content areas.

Meta Poetry: I and II

Meta Poetry: I and II

This sentence refers to itself. This sentence declares that this blog post is about 2 poems I wrote recently. Both these poems are self-referential to some degree, namely both poems are about poetry. I have been interested in self-reference for along time—and this...

A-EYE: When AI can see

A-EYE: When AI can see

AI can now see! And talk to you about what it sees! ChatGPT released its latest upgrade - the ability to not just create images but also to interpret them. I had been waiting for a while now to get access to these new vision features - and just this morning it popped...

Triplet from China

The triplet ambigrams keep flying in. This new one came in an email from Chunlei Zhang, a faculty member at East China Normal University, having received his Ph.D. in Curriculum & Teaching from Beijing Normal University. He was inspired after reading my previous...

Profesor 2.0, blurring the boundaries

I am in Chicago to give the Keynote address at the 2009 DePaul University Faculty Teaching and Learning Conference. The conference theme this year is Engaging Minds: Pedagogy and Personalism. I was invited by Sharon Guan (she was part of the AACTE Innovation &...

Play & Creativity Across the Lifespan

Play & Creativity Across the Lifespan

As a part of our series of conversations with creativity scholars we recently spoke with Dr. Sandra Russ, Louis D. Beaumont University Professor, and interim dean at the College of Arts and Sciences and Professor of Psychology in the Department of Psychological...

Darwin Day & A new Gallup Poll

Charles Darwin 12 February 1809 – 19 April 1882 On this day, it is sobering to read the results of the latest Gallup Poll: On Darwin’s Birthday, Only 4 in 10 Believe in EvolutionOn the eve of the 200th anniversary of Charles Darwin's birth, a new Gallup Poll shows...

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