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The importance of learning mathematics
Importance of teaching maths
The importance of learning mathematics
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Admissions Essays - My Most Inspirational Nonprofessional Activity
A little over two years ago I began tutoring students in several types of mathematics, including preparation for the S.A.T. Test. While I did this initially to earn money, I have continued to tutor (often pro bono) because I enjoy the material and the contact with the students.
I have always enjoyed math tremendously. I can remember riding in a car for long distances as a child and continuously calculating average speeds and percentages of distances covered as we traveled. In college I took upper division math classes such as Real Analysis and Game Theory (and placed near the top of the curve) though they were not required for my major. All this time spent playing with math has left me with a deep understanding of the way numbers work and the many ways in which problems can be solved.
When I first began tutoring I was stunned to find that most of the kids I worked with, although very bright, not only lacked the ability to solve complex problems, they were very uncomfortable with some of the basic principles of math. This discomfort led to fear and avoidance, and the avoidance led to more discomfort. A vicious cycle began. Instead of seeing math as a beautiful system in which arithmetic, algebra and geometry all worked together to allow one to solve problems, they saw it as a bunch of jumbled rules which made little sense that they were forced to memorize.
As a tutor, I found that it was important when starting with a new student to find out where his/her discomfort with math began. Often, this meant going back several years in their education to explain important basic concepts. For some students, fractions and decimals were the point at which math stopped making sense. For many others, it was the introduction of letters to represent numbers in algebra. Some students found that identifying their weaknesses was an embarrassing process. I explained to them that it was not their fault. Everyone comes to understand new concepts in math in a slightly different way, and the problem was that no teacher had taken the time to explain their "problem area" in a way which would make sense to them. Since math was a system, once they missed out on that one building block, it was not surprising that the rest of it did not make sense.
I was never one to be inclined towards math or science. I always felt that English and writing were more my speed, and in turn I enjoyed them more. From Susan Jacoby’s point of view as shown in her essay “When Bright Girls Decide That Math is a Waste of Time,” this would not have been a good enough reason for me to stop taking those subjects in my later years of high school. However, I disagree. I think learning, especially as you get older and closer to college-age, should be about the subjects that allow you to thrive and discover yourself, not about those that you struggle with and cause you stress.
As flawed people, achieving perfection is an impossible task. Yet, despite this inevitability, individuals strive for perfection only to reveal and witness imperfections. The Puritan lifestyle attempted to achieve this unattainable mission by setting strict morals upon the people of Salem, Massachusetts, however they struggled to do so. Salem faced a major change as a result of the Puritan ambition. Because of their thought on the ideal community as a straitlaced society, those who portrayed an imperfect model were to be isolated. Suspicion flooded the holy Puritan town, and led to accusations of innocent people. After a close analysis, it may be relevant to look at the Puritan belief system as a possible catalyst for the events that occurred during the Salem witch trials.
Elbow, Peter. "How Chaucer Transcends Oppositions in the Knight's Tale." Chaucer Review. Vol. 7. No. 2. Ed. Robert Frank. Pennsylvania: Pennsylvania State University, 1972.
Reys, R., Lindquist, M. Lambdin, D., Smith, N., and Suydam, M. (2001). Helping Children Learn Mathematics. New York: John Wiley & Sons, Inc.
middle of paper ... ... Barr, C., Doyle, M., Clifford, J., De Leo, T., Dubeau, C. (2003). "There is More to Math: A Framework for Learning and Math Instruction” Waterloo Catholic District School Board Burris, A.C. "How Children Learn Mathematics." Education.com.
In the tale, The Knight’s Tale, Chaucer made sure not to deviate away from what he saw during his time because some qualities emerged as prominent figures. The Knight’s Tale made sure to exemplify the idea of courtly love and what it truly means to be a knight who follows the code of chivalry. Some of the qualities of being chivalrous is being generous, honest, courageous, and supporting the notion of justice, which the readers can see that Chaucer understood the significance of the noble behavior and how that affected people at that time. Furthermore, the article, “The Canterbury Tales for Poetry of Students” highlighted how the noble life of the chivalry was a momentous part of the tale since the tale was “a comment on the possibilities
After his visit to a Shell Research Laboratory, my high school teacher in math told us in class that he was so happy with his education, because mathematics had helped him to understand the explanations and demonstrations that had been given by the Shell researchers. He said, "If you master mathematics then you can understand everything." That was certainly an exaggeration, but it nevertheless sounded like a golden message. Since I definitely wanted to have a better understanding of what was going on around me, mathematics seemed the obvious way to go. Also, if it was not much beyond high school math, then it was pretty easy in addition. What could one wish more? So I enrolled in every advanced math class offered in our high school. Pretty soon I discovered that mathematics was much more than a set of principles that helped one to solve intellectual riddles. It was not a finished system that one could aim to master after some limited time, but it was really a way of thinking, a means of expressing creativity: endless, an old established science, but still fresh and with undiscovered green meadows, nearby and far away.
Reys, R., Lindquist, M., Lambdin, D., Smith, N., & Suydam, M. (2001). Helping children learn mathematics. New York, NY: John Wiley & Sons, Inc.
... Therefore, the traditional feudal system fell apart, and the middle class began to grow. The middle class tend to question the beliefs of moral standards and religion in their lives. Chaucer has members of the middle class as being a third of the total amount of pilgrims. The rise of the middle class and the decline of the nobility were illustrated by the numbers in the pilgrimage. Although in Chaucer’s society, the middle class was not a third of the population, he felt it was important to make them a large part of his story, due to their rising importance. The Knight is symbolic of those who belong in the highest social class, or the nobility. His peacemaking, gentle behavior is meant to contrast the lower social class, or the Miller and Reeve characters. The Knight is one of the only characters who has a noble position, and he keeps to the old ideals of chivalry.
Chaucer’s Knight has been shaped, not only by the battles he has fought in, but also the places his crusades have taken him. The Knight is characterized as a very “worthy” man in his portrait. Chaucer initially informs the audience explicitly that the Knight is worthy, by repeating the word four times throughout the Knight’s portrait. The over-repetition of the word, to some scholars1, has suggested irony, but it is the travels that Chaucer alludes to in the portrait that show the audience that the Knight was indeed worthy of his title as a Knight, and wort...
At the time of Chaucer’s writing, English knights had fallen out of favor as new forms of warfare began to take over. Still, chivalry remained an important aspect of authority, a model for behavior at the time. Chaucer brings in elements of chivalry to tell “The Knight’s Tale.” Palamon and Arcite fight an idealized, courtly battle for the love of a woman. Critique of authority in “The Knight’s Tale” is rather subtle, and appears through the use of fortune, which plays a large role. Though the knights are in a high station in their world, neither are immune to misfortune. By portraying fortune as the ultimate power in the world, Chaucer undermines constructed power of the knights and the court. Chaucer leaves these contradictions open for interpretation, allowing power to be questioned without outright dismissing
To begin, the Knight is my favorite character because the description of him really gave me a feel of what I believed the medieval times to be all about. The description of the Knight is my favorite of all how he is such a valiant fighter and hero in his time. This differs very much from the times we live in now. On page 98 of From the Canterbury Tales, The Prologue by Geoffrey Chaucer, Chaucer says the following...
An interesting aspect of the famous literary work, "The Canterbury Tales," is the contrast of realistic and exaggerated qualities that Chaucer entitles to each of his characters. When viewed more closely, one can determine whether each of the characters is convincing or questionable based on their personalities. This essay will analyze the characteristics and personalities of the Knight, Squire, Monk, Plowman, Miller, and Parson of Chaucer's tale.
Teachers must be aware of who they are teaching during instruction. Getting to know a student’s background and culture will aid significantly when trying to identify why the students are disengaged. Some may not understand the instructions that are given and may require additional instructions. The teacher must also consider what curriculum is being taught, and what they want their students to gain from it. Math at this grade level becomes more complicated as students continue to progress to a higher grade
Towers, J., Martin, L., & Pirie, S. (2000). Growing mathematical understanding: Layered observations. In M.L. Fernandez (Ed.), Proceedings of the Annual Meetings of North American Chapter of the International Group for the Psychology of Mathematics Education, Tucson, AZ, 225-230.