Ross School -
Senior Project 2013 |
Mentor:
James Earle
Domains:
Mathematics, History
Faculty Grader: Gary Skellington Jr.
Documentation of Product |
Title: Teaching
How to Think: A Neuclidean Education
Modern mathematics
education is flawed. Teachers are forced to teach students under the crushing
restraints of state education systems, not to mention the stringent test
requirements to be accepted to top universities. These conditions have forced
educators to condense and simplify, offering only tricks to remember how to
do calculations without ever providing contextual background or explanation
of any kind. This results in a general distaste for mathematics being
instilled in the majority of students from a depressingly young age. These
students are never exposed to the beauty and elegance of mathematics. The
quest for mathematical understanding is the quest to understand everything.
Mathematics governs every aspect of nature, but never learn how to see this.
The goal of my project is to develop a mathematics curriculum that encourages
the type of analytical thinking that is so lacking in most high school
mathematics course. To make this knowledge accessible, I use the original
analytical thinkers who founded their respective branches of mathematics.
Through the study of EuclidÕs Elements and
Muhammad ibn Musa al-KhwarizmiÕs Compendious Book on Calculation by
Completion and Balancing I created a curriculum that inspires the
mathematical creativity of those who did not have the modern tricks that are
so abused, but does not sacrifice the success of students in institutions
outside the classroom. |
Exhibition
& Presentation Summary |
Presentation: Powerpoint |
Works
Consulted |
Cardano, Girolamo, and T. Richard Witmer. The Rules of Algebra: Ars Magna. Cambridge, Mass.: M.I.T. Press, 1968. Print.
Discourse on method, Optics, Geometry, and Meteorology. Rev. ed. Indianapolis, IN: Hackett Pub., 2001. Print.
Heath, Thomas Little. The thirteen books of Euclid's Elements,. 2 ed. New York: Dover Publications, 1956. Print.
Joyce, D. E.. "Euclid's Elements." Clark University Mathematics. Clark University, n.d. Web. 1 Dec. 2012. <aleph0.clarku.edu/~djoyce/java/elements/toc.html>.
Katz, Victor J.. A History of Mathematics: An Introduction. New York: HarperCollins, 1993. Print.
The algebra of Mohammed ben Musa. London: Oriental Translation Fund, 1831. Print.
Pickover, Clifford A.. The Math Book. New York, NY: Sterling Pub., 2009. Print.
Wolfram, Conrad. " Teaching kids real math with computers.Ó TED. Nov 2010. Lecture.