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Mathematics has its own internal logic and creates and obeys its own 'rules,' just as a beautiful picture obeys the rules of proportion (or deliberately violate but acknowledges the rules of form as seen in the artwork of Picasso). Great art or important science holds true to the logical rules of a discipline. What is good in art and science holds true to valid principles of a correspondence to reality, and instructs people in the true nature of the world.
The heart of both great art and science is philosophy, and the Greek philosopher Plato once said that the only thing someone needed to be a great philosopher was a "passion is to see the truth." Great artists, scientists, philosophers and great individuals who do goof things by inspiring others to good all have a passion for the truth. This kind of passion for truth inspired Keats to write his great poem, even though it challenged conventional Victorian mores about desire. This passion for the truth inspired Galileo to tell the truth about his calculations regarding the earth's place in the solar system. And this passion for truth motivated Socrates to ask probing questions about reality, even when it made people uncomfortable -- so uncomfortable, Socrates was eventually contemned to death for his way of teaching.
It is the job of a teacher who wishes to be a great teacher, and to serve the purposes of what is good, to teach his or her students the truth -- and how to seek 'their own truth' through critical inquiry. A teacher must make a student understand that what is real, true, good, beautiful and logical are all synonymous, and try to uphold these standards in his or her own teaching. Very often a teacher will hear a student complain that it is pointless to read Keats because it has nothing to do with 'real life.' It is the teacher's...
Likewise, a student attempting to understand calculus might complain that calculus has nothing to do with reality. The teacher must show the student how math in fact does arise from a need to explain and solve real-life problems.
A teacher must help students see the beauty in these efforts to render human life into ideal expressions that are truthful and realistic and logical. And in his or her classroom the teacher must set logical rules that are obeyed by everyone, including the teacher: not to lie and try to create an environment that is beautiful in that it facilitates learning and obeys the dictates of truth, realism, goodness, and beauty. True beauty is not about surface appearances. A good teacher is a guide to help a student find beauty, truth, what is real, and what is good and see the connection between all of these values. It is the teacher's job to make the student look beneath common cultural conceptions of beauty, morality, and reality and search for the true and unified nature of all of these things with hard intellectual efforts.
Works Cited
Keats, John. "Ode to a Grecian Urn." Quiller-Couch, Arthur Thomas, Sir. The Oxford Book of English Verse. Oxford: Clarendon, 1919, [c1901]; Bartleby.com, 1999. Retrieved January 15, 2008 at http://www.bartleby.com/101/625.html
Plato. (2007). Philosphy Pages. Retrieved January 15, 2008 at http://www.spaceandmotion.com/Philosophy-Plato-Philosopher.htm
Shakespeare, William. Romeo and Juliet. Shakespeare Homepage. Retrieved January 15, 2008 at http://shakespeare.mit.edu/romeo_juliet/index.html
Educational philosophy statement
Works Cited
Keats, John. "Ode to a Grecian Urn." Quiller-Couch, Arthur Thomas, Sir. The Oxford Book of English Verse. Oxford: Clarendon, 1919, [c1901]; Bartleby.com, 1999. Retrieved January 15, 2008 at http://www.bartleby.com/101/625.html
Plato. (2007). Philosphy Pages. Retrieved January 15, 2008 at http://www.spaceandmotion.com/Philosophy-Plato-Philosopher.htm
Shakespeare, William. Romeo and Juliet. Shakespeare Homepage. Retrieved January 15, 2008 at http://shakespeare.mit.edu/romeo_juliet/index.html
Educational philosophy statement
In many learning situations, however, there is no ultimate truth upon which the teacher can call to instruct her students. Instead, many topics are still controversial, even as they are a part of history. In this case, teachers must acknowledge this fact as true, leading to a valuable lesson for students who may assume that textbooks and authority figures are always right. In some cases, however, the teacher must
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