Take and Make: Proof without Words Sum of Odd Numbers – Freese Transformation

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This Geometric Transformation  shows how the sum of the first 6 consecutive odd numbers is the square of 6, or 36.  It’s the classic “proof without words”.  Freese’s Transformation also shows this relationship, but his “squares” have sides sqrt 1, sqrt 3, sqrt 5, and so on. Freese Corel File, Adobe Illustrator File, Jpg printable  

Take and Make: Experimental Mathematics Cucumber Edition

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Here’s a fun one!  Inspired by a conversation with Chris Daniels of Public Math. He said roll paper around a cylinder and cut on an angle to get an ellipse and produce a sine wave.  So we did!  And you can too.  Then you can make a roller from ellipses, reflect your sine curve and roll the elliptical roller along

Take and Make: Freese Transformation 178

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This design is from a lost manuscript of Ernest Irving Freese found by Greg Frederickson and published in his 2018 book “Ernest Irving Freese’s Geometric Transformations: The Man, the Manuscript, the Magnificent Dissections” Frederickson mentions Freese’s manuscript in the bibliography of his 1997 book, “Dissections: Plane & Fancy, and included selections from it in a 5-part series of short chapters spread

Take and Make: Tower of Hanoi

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Ximena Garcia made a laser design for the Tower of Hanoi puzzle.  You make two of each disk and glue them together for nice chunky pieces.  We use dot stampers (for bingo sheets) to color the wood.  Works great!  The laser files are in this folder on our webpage. Tower of Hanoi is a model of exponential growth – number of

International Day of Mathematics

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The University of Texas and MathHappens Foundation participated in the first international day of Mathematics.  Check out the video contributions from Dr. Jennifer Austin (inside the main video at minute 3 and Ximena Garcia featured video.  

Awesome Math Making Ideas from Other People – Napiers Bones

Lauren SiegelHistory Connections, Making Math, Mathematical Artifacts, Museum, Sharing Ideas, Ways to like math2 Comments

Here’s an excerpt of a twitter conversation.  Day before yesterday Aida wrote to get access to some of our files and ideas.  Yesterday she made this amazing version of Napiers Bones that is in the National Archeological Museum in Madrid.  Today I’m inspired by her project and want to know more about this version and I want to see that

Take and Make: Folding Parabola

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See how this grid folds into a parabola. More Parabola information in “owners manual” format by Michelle Tat. We laser cut the holes in the cardstock and added some laser etched lines to make the folds crisp.  Find the laser files here. This thing is a great fidget and you would be surprised at the tenacity young children and even adults to

Women in Steam at the Thinkery

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Women in Mathematics!  Katherine Johnson calculated trajectories, parabolic and otherwise for NASA in the 1960s.  Almost 70 years earlier Mary Boole invented curve stitching to teach the mathematical properties of parabolas to children.  We made some really great foldable parabolas to connect to the work of both these women in math.  Here’s the laser file – we cut the holes