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The effects of music on kindergardeners performance in mathematics
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What topic in science or math do you currently find most interesting and why? When and how did you become aware of it? How have you explored it?
When a person asks about my interests, the reaction is always interesting. Most of the time they are both confused and surprised by the answer. The answer that evokes such a reaction? Math. Which is why, when I was told I could choose any topic for an essay, I knew I would write a math paper. A friend of mine suggested fractals, and, after a bit of digging around, I realized fractals were extremely compelling. I focused on the practical aspect of fractals because of my lack of knowledge-- how they could be incorporated into sustainable design at different levels. And, even after a semester of research,
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They draw and create lifelike and abstract objects and people that never cease to amaze me. When I pick up a pencil to draw, I start hopeful, trying to create smooth lines. Then it goes downhill and I have to take a break to get rid of my frustration. My experiences with drawing are why I have always been hesitant about art and usually turn to more familiar ground with my math homework, something my friends tease me at times for finding relaxing and interesting. I often do my math homework last, knowing it is a satisfying way to end my hours of homework. However, last summer I borrowed a ukulele from my friend and soon became engrossed in learning it to the point I bought my own. So, since that summer, I turn to my ukulele during my free time. I bring it to school, to friends’ houses, and play while they draw or sing. I still try to draw at times, but it does not frustrate me, it reminds me that while I am not necessarily talented in this area, I have other ways of enjoying my time, whether it be math or playing the ukulele, the latter of these has allowed me to explore the creative aspect for myself I often believed was not there, or was …show more content…
I was thrust into a new world with very little English. I soon learned the language to an extent where I now consider it my primary tongue. But, even with my rapid learning, I still had a learning gap which was prevalent in math. Many I know think I was always adept at math, that it was just something I was naturally good at, but at this time they would not say so. I struggled with the most basic concepts of math, the four basic operations, for years while my brother was accepted into an advanced math course, and I admired him for that, aspired to do the same. And so I did with motivation and help from both of my parents. I was able to graduate from the below-grade level and on-grade level classes and moved on to the advanced courses available at my school. When I moved to Canada, where they did not have advanced math or science courses, my learning was challenged again. But I refused to slow down my learning, so I learned on my own and then with a
The math/science program at PWC Governor’s School presents challenging learning opportunities and well as motivated classmates and professors that can further my curiosity and devotion for the mathematical and scientific world around me. It also withholds a window of opportunity for me to move closer in attaining my career aspiration. In return, I can provide collaboration, leadership, and most importantly, an intelligent mind capable of creating pioneering, innovative, and inspiring ideas. Together, the students/faculty of PWCS Governor’s School and I can collaborate to form the most ground-breaking solutions.
My infatuation in fractals began freshmen year at Greeley after taking a Seminar with one of the seniors. I’m not sure exactly when simple interest turned to a kind of obsession, but during that lesson something seemed to click. It seemed as if this was the universe’s answer to everything; the mystery was solved, however complex the answer was to understand. I’m still not sure if I was misunderstanding the lesson, or if I had somehow seen it for what it really was; a pattern to describe the way the universe works.
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.
Originally, I was born in Afghanistan in 1994. Shortly after the Taliban took over the country which forced my family to flee the country into Pakistan. After my father passed away in Pakistan, my family sought refuge in the United States in 2001. As an Afghan, coming to America, I had to learn everything from English to the cultural norms. In the beginning, it had been difficult because I did not understand the language. Every day, I would go to school and return back crying because I just sit in classes and not comprehend a single thing. But luckily mathematics is a universal language. I quickly grasped it and enjoyed going to school to learn. I started to help other students with mathematics. This allowed me to befriend people and
My artifacts are two samples of students’ work. They are both formative math assessments on coins and were used during my student teaching experience. One sample assesses students’ ability to identify coins by its image, value and name by sorting. The other sample assesses students’ ability to solve money word problems by adding or subtracting coins.
My A-level studies are Mathematics, Further Mathematics, Physics and Design Technology. I have always been fascinated by numbers and this interest is continuing, hence my choices in A-level subjects. I enjoy the application of Mathematics to Physics. In Design Technology I can be creative and at the same time use my knowledge of Mathematics and Physics to help solve problems.
Growing up, I was always fascinated by the maths and sciences. It became apparent early on, to myself and my instructors, that one of my significant traits was my strength in these and related subjects. Over the years, the diligence I've committed to my coursework has shown through, leading to results that I am immensely proud of and that have exceeded my own personal expectations. I always loved learning and have really developed a deep understanding for its importance and how it sculpts the future of our world. Given that I value experience and education greatly, I am an advocate for challenging one's self and taking part in opportunities to witness personal growth.
Fractal Geometry The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an explanation to things. The importance of fractal geometry is that it provides an answer, a comprehension, to nature, the world, and the universe.
Ever since I was a child, I have had a great interest for the automotive industry. From car trivia to novel innovations, my innate passion for the automotive industry has always made me research the minutest detail of every vehicle that interested me. Since elementary school I would draw sketches of cars which incorporated technology which were unheard of at that time; novel devices such as electrochromic windshields, HUD displays, and wind turbines which would constantly re-generate electricity for the car. While growing up, my hobbies largely consisted of constructing countless Lego and Meccano sets, and repairing my mom’s 19 year-old car. In middle school, math and science were my favorite subjects: applying science and mathematics to solve real-world problems has fascinated me and I have also taken further steps to reach my goals. By the age of thirteen I devised a scaled model of a heliostat power plant, which successfully powered a light bulb. The mathematics beyond the focus points of parabolic dishes and thermodynamics was very advanced for my age, but I took up the challenge...
Math is a subject has always and will continue to pulled my interests. This was because it was a subject that would lead me to a single unique answer. Once I started to attend high school, physics then opened up another interest, not only with math, but an interest in Math with actual application into the real world. With physics, it allowed me to see how math could be used to predict events. The classes that I have taken that has shaped my interests for my major of science in mathematics are Physics, and Computer Science.
I am a person who has always had a profound passion and fascination for areas requiring an analytical approach. Right from early days at school, Mathematics has intrigued me. The most challenging of all problems were my favorites and obtaining solutions to them would leave me with a sheer feeling of ecstasy. I always did and always would thrive on solving the most challenging problems. With a compelling desire to excel, hard work became my second nature. My aspiration for a technical career prompted me to take up one of the most coveted undergraduate program in Computer Engineering at SR Engineering College, the best of such institutions. My own systematic & methodical towards finding a solution to any problem best suits this field.
My enthusiasm and the strongly committed teachers I have encountered in my life have attributed to my success in math and science. Prior to going onto ninth grade, my Math classes dating back from middle school were never mentally straining. Math appealed to me because in eighth grade, my math teacher, Dr. Christopher, would encourage her class by recognizing our achievements with small rewards such as candies and ice cream passes during lunch. Her actions sparked my interest in math. I have a natural regard for math and science. By breaking down math problems step by step, I can better understand them. ...
Fractions were the first challenge from math that I had to fight through, in which eventually I was placed in a Special Education class and I was diagnosed with a learning disability. From 4th grade to 7th grade, I had extra help in Math in the Special Education class. I kept struggling with fractions and decimals, such as dividing and multiplying them. After some time, I was told that I have advanced in my skills in Math and I was put out of the class, but they gave me the option to go to the class whenever I thought I needed help in Math and in anything I needed extra time or help in. As I entered my freshman year of high school at Carver Military Academy, I took Algebra l class and Math Navigator class. I had my ups and downs in those classes. Even though I had those two mathematical classes in my first year of high school, I really didn’t struggle through them because it was just learning about the distance formula, absolute volume, factoring numbers, finding the greatest common factor, converting fractions and decimals since it was pretty neutral to
Coming into the teaching profession not knowing a lot, I was able to use previous experience from previous teachers to understand how important it is to understand whether or not students really understand the subject being taught. Having a passion to teacher also improves how much work teachers have to put into to make sure students understand. Growing up, I had the opportunity to experience what it was like to have a teacher was passionate about mathematics. This particular opportunity showed me how much effect he was able to put on his students performance, but most importantly how much effort he had to put into things to see a change in his students work.
I used to struggle with multiplication tables to the point where I would fail all of the in class quizzes. With plenty of practice and help from my grandmother, I have improved greatly in that area. This helps me complete more difficult math problems much faster. I have learned the concepts behind math as well as the math itself. In my calculus class, my teacher would always explain how a formula was created and why it works before he explained how it was used. This has helped me see the deeper purpose of math instead of just the surface, where we are told to do a problem without really knowing why. Another specific math topic that I have struggled with in the past is factoring. When the concept was first introduced to me, I was so confused that I got every single problem wrong. I asked for help every time but I just did not understand how someone could figure out the numbers off the top of their head. Since then, I have done hundreds of factoring problems in order to practice. Now, I get almost every problem right. I purposefully did these problems so that I could improve my skills, since I knew I would need them in the future. Overall, I think I have also improved my patient with math. I am able to think critically about a problem and figure out why I’m getting it wrong instead of instantly getting angry and giving up. That’s also a good skill to