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Mathematics
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What is Mathematics?

Mathematics as an academic subject spans far more than calculation — it encompasses logic, aesthetics, creativity, and the structure underlying fields from economics to literature. In educational contexts, mathematics is studied across curriculum development courses, teacher preparation programs, and interdisciplinary studies. Papers in this area examine how students and teachers engage with mathematical thinking, how knowledge is built across grade levels, and how figures like Srinivasa Ramanujan illustrate the human dimensions of mathematical discovery. Frameworks such as NCTM's Agenda for Action and established standards give writers a concrete policy foundation for analyzing how math education is shaped at an institutional level.

The papers collected here approach mathematics from notably varied angles. Some take a historical or economic perspective, tracing the impact of mathematics from medieval times to the present. Others focus on curriculum and instructional planning, including how literature can be integrated into elementary math classrooms or how problem-solving heuristics can be structured into lesson study presentations. A separate thread of papers explores mathematics as a creative and aesthetic pursuit, examining its appeal as an art form and its surprising presence in areas like casino gambling and even literary works such as Alice's Adventures in Wonderland.

A strong essay on mathematics in education should establish a focused thesis — either about teaching practice, curriculum design, or mathematics as a discipline — rather than attempting to cover all three at once. Evidence drawn from recognized standards, classroom research, or well-documented case studies carries the most weight. The most common pitfall is treating mathematics as purely procedural; examiners tend to reward essays that also engage with conceptual understanding and the broader role math plays in student learning and culture.

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Research Paper Doctorate
Ibn Sina and al-Ghazali's intellectual pursuits and epistemological approaches
Ibn Sina (or Abu Ali al-Husain ibn Abadllah and also known as Avicenna) of Hamadan, Persia (now Iran) believed himself to be a master of all the sciences, i.e., logic, the natural sciences and mathematics, and that all…
Paper Undergraduate
Hip hop culture and globalization in Saudi Arabia
This is a research paper on the hip hop culture in Jeddah and Mecca. It focuses on two rappers, Joker Jr and Ayzee in a case study form. The methodology consists of two methods, semiotics and discourse analysis. These two methods are used to find similarities and differences between the hip hop culture in the United States and that in Jeddah and Mecca.
Paper Doctorate
Personal statement for MIT Sloan Master's in Finance application
This paper is an admissions essay, this one to the finance program at the Sloan School of Management. The essay's tone therefore is straightforward, in the manner of an executive, speaking without fluff or flourish. The case is made succinctly that this person would make a great contribution to the school.
Research Paper Doctorate
The historical conflict between science and Christian religion
Science and religion have historically possessed a tumultuous relationship based upon the fact that the latter claims to hold the ultimate answers to the most fundamental questions of existence, while the former claims…
Research Paper Doctorate
Aristotle's contributions to the development of the scientific method
¶ … Greeks commonly thought to be the inventors of scientific theory?
Paper Undergraduate
Personal essay on identity and self-reflection
What is a meaningful life? When I first came to the United States many years ago, I thought that success and making a great deal of money were synonymous. From an early age it had been ingrained within me that providing…
Research Paper Doctorate
Imperialism and class ideology in Kipling's Kim and Zola's Germinal
Rudyard Kipling's Kim and Emile Zola's Germinal both depict features of the late nineteenth and early twentieth century world that few privileged members of society cared to consider.
Research Paper Doctorate
Mystical harmony in Kepler, Khan, and Huxley's religious philosophies
Music, Proportionality, and Religious Experience
Research Paper Doctorate
The psychological, economic, and political importance of historically black colleges
The psychological, economic, political importance of historically black colleges
Paper Doctorate
Video games' effects on children's behavior and cognitive development
Owing to the advent of digital media over the past few decades, technology has taken over many dimensions of the world and given the media a 360 degree turn by entirely switching the way it previously worked. The computer era not only changes the way transactions were done, documents were prepared, statistical tools were used and made the world global but it also changed the way sports and games were played. It converted the physical playground into a virtual one to quite a great extent and now, computer video games have become an increasingly important phenomenon of today for the entertainment of kids who now believe in virtual playgrounds (Anderson, Gentile, & Katherine E, 2007).