3D Printing and
Mathematics
“In Calculus 3, when you go from a two-dimensional world to a three-dimensional world, it is perfect to help students see, Definitely in my calculus classes we would use 3D printers.” Sharon Sledge, San Jacinto College (Texas) Professor of Mathematics
3D Printing can help students envision graphs and mathematical models. Due to the way our brains function it is difficult grasping numbers and figures that we see on paper. 3D printing helps us to easily see them through tangible representations.
“A 3D printer is a perfect example of an input/output” system, that a final printed product can demonstrate that it’s made up of a network of ‘x,y,z’ coordinates used to create the structure of an object, and that the technology can be used to show students concepts like how to intersect a plane with a cube.” Megan Mead - Project Manager and Math Contributor at Getting Smart
Software packages such as Mathematica can translate algebraic expressions into 3D forms that are then created as tangible, low-cost, plastic objects that students can hold in their hands, take home, and/or pass around the class. Workshop participants are given a series of progressively more complex design challenges and are also asked to come up with their own individual objects of interest to create. Each class ends with something that has never existed before printing on the 3D printer. These techniques empower teachers and students to create physical versions of anything that can be described mathematically with algebraic, trigonometric, and Boolean functions. They introduce students to the creative side of mathematics and provide a powerful motivation for learning the details.
“A lot of the math we
teach is procedure and skill based. It
doesn’t have a lot of application, and when
it does the applications are usually
contrived. Students know that. They see
that. They get that, and anything that we
can do to make it more real, and tie it to
things that actually have meaning to them
would be beneficial,” White said. “I am
trying to figure out how 3D printing might
give learning more meaning. I think students
would find 3D printing interesting, but not
necessarily meaningful. So I am exploring in
order to see, in the context of a
developmental math course or a general
education math course, could you integrate
3D printing in a way that would reinforce
mathematical concepts, while simultaneously
increasing the motivation and interest level
of students?”
Keith White, Associate
Professor of Developmental Mathematics, Utah
Valley University
In Conclusion
Its time the curriculum in schools be
viewed from the different perspective, a
different dimension if you will. The amount
of visualization and practicality 3D
printing brings to the subject of
mathematics is incomprehensible.