Personal Statement of Teaching and Learning Mathematics

About my background, I graduated from XXXX in 2011, majored in Mathematics and Economics. Last year when I was finding teaching jobs, I was frequently asked the same question – Why do you choose this program rather than a traditional Mathematics degree program? My answer is rather simple – I choose this program because I want to know how Mathematics can be applied in other disciplines, such as social science like Economics. During my three years of university study, I was amazed by the importance of Mathematics in social science. Economics models, social statistical research, national accounting, developmental analysis are all related to different streams of Mathematics. They are so beautiful and elegant, and often a mathematical equation can explain our world better than thousands of words.

Back to my secondary school life, I was a typical science student, taking Physics, Chemistry and Pure Mathematics. My school has not provided the subject ‘Applied Mathematics’ in A-Level, but I was really interested in learning how Mathematics can be ‘applied’ in our world. So I bought an Applied Mathematics textbook from a book store and it was about Probability and Statistics. I was hooked by the interesting probability problems and statistical distributions. Therefore I decided to take AL Applied Mathematics as an extra subject. I enjoyed the subject so much that I even considered doing the Applied Mathematics problems as leisure, and I would revise the subject whenever I feel bored with preparing other subjects.

On the other hand, I have considerably less interest in Pure Mathematics. While I still admire the use of differentiation and integration in different situations, I was annoyed by some of the abstract topics like ‘Complex Numbers’. Those abstract concepts like complex roots are very difficult to grasp and have seemingly no use in human world. I wondered why mathematicians invented imaginary numbers,...

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ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

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The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...A better understanding of other people contributes to the development of moral values. We shall be both kinder and fairer in our treatment of others, if we understand them better. Understanding ourselves and understanding others are connected, since as human beings, we all have things in common.
Adapted from Anne Sheppard, “Aesthetics: An Introduction to the Philosophy of Art”
Do we need other people in order to understand ourselves? Plan and write an essay in which you develop your point of view on this issue. Support your position with reasoning and examples taken from your reading, studies, experience, or observations.
To understand ourselves is not an easy thing to do. From ancient times, the question of knowing ourselves has been the focus of many philosophers, such as Socrates and Buda. They argue that, even though you cannot arrive at perfect answers, you should keep asking yourself, “Who am I?” The lessons of the ancient philosophers have truly helped me to develop my moral values and know myself, through meditation and inner awareness. However, there are other ways to gain self-knowledge: one way is to ourselves by striving to understand others. Khaled Hosseini’s characters, Amir and Baba, in “the Kite Runner” provide mirrors for me. Also Walter Isaacson’s “Steve Jobs” – the authorized biography of Apple’s genius – allows me to see inside the façade of the public Steve Jobs, and gain some understanding of myself.
The relationship between Amir and his...

...De La Salle University Medical Center
Case Protocol:
COMPARISON OF THE POSTOPERATIVE ANALGESIC EFFECTS OF INTRATHECAL MORPHINE AND TRAMADOL IN PATIENTS AGED 18-50 YEARS OLD AFTER LOWER ABDOMINAL SURGERY AT DE LA SALLE UNIVERSITY MEDICAL CENTER, A RETROSPECTIVE COHORT STUDY
Submitted to the Department of Anesthesiology De La Salle University Medical Center
In Partial Fulfillment of the Requirements for
Residency Training in Anesthesiology
By:
MARK LIJAY I. GUINTO, M.D.
I. INTRODUCTION
RESEARCH QUESTION:
What is the postoperative analgesic effects between intrathecal morphine and intrathecal tramadol in patients aged 18-50 years old after lower abdominal surgery at De La Salle University Medical Center?
SIGNIFICANCE OF THE STUDY:
Spinal anesthesia is commonly used for lower abdominal surgeries. It has become a popular practice to add opioids in the local anesthetics being used for spinal anesthesia. This is being done to enhance and prolong the intra-operative and post-operative analgesia. Morphine and tramadol are opioids that can be used for this purpose, but there are no specific guidelines on the dosage of these specific opioids to be added in the local anesthetic. Furthermore, the incidence of side effects of these different opioids is still controversial.
This will be a retrospective study to review, improve and innovate the...

...Maths" and "Math" redirect here. For other uses see Mathematics (disambiguation) and Math (disambiguation).
Euclid, Greek mathematician, 3rd century BC, as imagined by Raphael in this detail from The School of Athens.[1]Mathematics is the abstract study of quantity (numbers),[2] structure,[3] space,[2] change,[4][5] and any topic which has quantities and therefore can be studied quantitatively.[6] It has no generally accepted definition.[7][8]
Mathematicians seek out patterns[9][10] and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous...

...Prompt 2
I was the joke that should never have signed up.
My junior year of high school, according to several of my trust worthy teachers, should be rigorous and competitive if I ever wanted a chance to get into college. Naturally, being a gullible fool, I signed up for two AP classes, an honor class, and a sport. As a sport I chose wrestling, it was very time consuming but I knew I could manage. I felt pretty confident about AP biology and Algebra 2 honors since they were subjects I was fairly skilled in. but as for my other AP course, AP language and Composition, I was a bit uneasy.
Throughout the first semester I excelled in biology and algebra but, as predicted I lagged in AP Lang. My fellow classmates would receive 91%’s and 85%’s and I’d hide my 75%s. The AP Lang teacher, Dr. Mike Mikulics, was never afraid of being frank with any of his students and would call people stupid. I also fell into this category but I just brushed off his hostility. One day though, Dr. Mikulics went off topic and said to the class, “You knew I think the most stupid, idiotic, and brain dead people on campus are wrestlers, wait are any of you wrestlers?” I raised my hand. “You see ‘he’ proves my point.” A few weeks later I hear from several people “Damn! Mikulics really bagged on you. He said, ‘Let’s all start a charity to get enough money to buy Delan a new brain.’” These insults I couldn’t brush off.
I had become the class joke for all the AP Lang...

...Archimedes was among the greatest mathematicians of antiquity.
Mathematicians usually cover a breadth of topics within mathematics in their undergraduate education, and then proceed to specialize in topics of their own choice at the graduate-level. In some universities, a qualifying exam serves to test both the breadth and depth of a student's understanding of mathematics; the students who pass are permitted to work on a doctoral dissertation.
A mathematician is a person with an extensive knowledge of mathematics who uses this knowledge in their work, typically to solve mathematical problems. Mathematics is concerned with numbers, data, collection, quantity, structure, space, models and change.
Mathematicians involved with solving problems outside of pure mathematics are called applied mathematicians. Applied mathematicians are mathematical scientists who, with their specialized knowledge and professional methodology, approach many of the imposing problems presented in related scientific fields. With professional focus on a wide variety of problems, theoretical systems, and localized constructs, applied mathematicians work regularly in the study and formulation of mathematical models. Mathematicians and applied mathematicians are considered to be two of the STEM (science, technology, engineering, and mathematics) careers.[1]
The discipline of applied mathematics concerns itself with mathematical methods that are typically used in science, engineering, business, and...

...Tell us about a personal quality, talent, accomplishment, contribution or experience that is important to you. What about this quality or accomplishment makes you proud and how does it relate to the person you are?
I have been playing keyboard for about five years, which I really enjoy, I got my keyboard lessons from Melody International School of Music. My music school has recitals each year for it’s students show what they have learned over the year. After attending the music school for about two years, my instructor told me that I was ready for my first recital, which I was really exited for, since I started attending the music school I have always wanted to perform on a stage and have an audience to impress. But I didn’t know the preparation for the recital and the recital itself would teach me a great life long lesson that I would need in life.
It was December when my instructor told me we were going to have our recital in about three months. He also told me that it was going to be a “bit” hard for me because I had to perform with all the students, at first I thought to myself he was just joking until he handed me a pile of paper, which were the notes of the songs the students choose to perform at the recital. At last he added I had three months to practice all one hundred and thirteen songs and to master them better than the performer, at that moment I felt so much pressure on myself, and so stressed out like the recital was tomorrow...