One cannot buy dice for every situation and one cannot fold paper for every

One cannot buy dice for every situation and one

This preview shows page 21 - 24 out of 158 pages.

However, this kind of modeling can be awkward or limited. One cannot buy dice for every situation, and one cannot fold paper for every situation. Specific models can be expensive and inflexible (Lipson, 2007). Knowledge retention improves from 20% retention to 90% retention when a student has a concrete rather than abstract experience with the material (Lipson, 2007). It is unlikely that Archimedes would have achieved such mathematical success without his work in the physical world, or that mathematics would have progressed without the ruler and compass of Euclid’s time. In addition, students with visual impairment can stand to gain spatial understanding using concrete models, and females who have had less hands-on building experience than males due to gender roles have been shown to make gains when working with 3D models (Lipson, 2007).
Image of page 21
8 The 3D printer, by its very nature, creates shapes in three dimensions. Initially developed in the 1980s by Charles Hull under the name stereolithography, this technology remained firmly in the realm of engineering for decades, useful to engineering firms for rapid prototyping (Hull, 1986). Machines for 3D printing could cost tens of thousands of dollars. However, now that there is more demand and better functionality, 3D printing has expanded to be accessible to more than just engineering firms (Bartlett, 2012). The 3D printer technology is now in use in education, often starting as early as elementary school. Schools use printers with students or for on-demand models to help teaching (Lipson, 2007). While much of the curriculum focuses on engineering design, not many have explored teaching pure mathematics with the 3D printer. This thesis examines 3D printer technology, its cost and its practical use in the mathematics classroom. The author purchased a 3D printer for hands-on experience, and also used 3D printing services. The thesis includes designs for potential lessons and demonstrations using the 3D printer. History of 3D Printing The printing press and moveable type changed the way information was transmitted, by bringing reading to the common person. 3D printing could bring manufacturing to anyone’s living room, and they could either design their own objects or buy designs online. But the printing press was not for everyone, and it took more innovation to print anything desired. Lithography was invented by Bavarian author Aloys Senefelder to print
Image of page 22
9 theatrical works at a low cost. It used a chemical process to create an image, using a positive and negative chemical process so that the ink would adhere to the positive chemical material (“The History of Lithography,” n.d.). It is important to know the term lithography, as 3D printing technology is first known as stereolithography, developed hundreds of years later. The 3D printing process came after decades of improving technology. One of the technologies that needed to be improved was sintering. Sintering is a technique that takes powders to create material, through heating, pressing, electric current, and other methods.
Image of page 23
Image of page 24

You've reached the end of your free preview.

Want to read all 158 pages?

  • Winter '18
  • apex
  • Geometry, Fused deposition modeling, Archimedes, Selective laser sintering, Stereolithography

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes