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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
The origins and development of sine, cosine, and tangent
When using trigonometric functions, the three sides of a right triangle (opposite, adjacent and hypotenuse) are identified in relation to a chosen angle. The trigonometric functions (sine, cosine, and tangent) are then…
Thesis Undergraduate
Plato and Xenophon's contrasting portrayals of Socrates' defense
This paper examines both the life of Plato and his dialogues and how they portray Socrates the man and his philosophy. It looks at Plato's birth, tutelage, political/military career, and his foray into teaching after starting the Academy. It also lists the early, middle, and later dialogues and discusses their differences.
Essay Doctorate
Evaluating "Cross-Cultural Consumer Behavior" as a scholarly article
This paper discussed a specific article dealing with international marketing. The paper evaluates the quality of the paper. The paper is examined in terms of its overall utility, presentation and ability to communicate an idea within the subject of international marketing. The paper supports the chosen article as useful for incorporation.
Paper Undergraduate
North Carolina's rejection of the Affordable Care Act's Medicaid expansion
The concept of providing basic healthcare services individuals in need has undergone an agonizing transition, from a luxury once only afforded by the affluent to a basic human right granted to citizens of every economic station, and the recently enacted Affordable Care Act (ACA) was designed to finalize this ethical evolution. Reflecting perhaps the bitter political enmity currently consuming the nation's once cherished democratic process, Republican legislatures in states throughout the union have bristled at the ACA's primary provisions, threatening all manner of procedural protestation as they attempt to delay and derail the bill's eventual implementation. One of the most intriguing aspects of the sprawling, thousand page law, however, has been the stipulation that individual states will be given a choice to either accept federal funding to expand their statewide Medicaid roster, or to forfeit all federal funding for that program in perpetuity. This Faustian bargain of sorts was crafted by federal lawmakers to provide resistant states with an offer that could not be refused, but in the wake of President Obama's reelection to a second term in the land's highest office, the willingness of Republican-ran states to fall on their proverbial sword appears to have been vastly underestimated.
Paper Doctorate
Reinhart's Socratic method and question-based teaching strategies
¶ … kid can say!" is to identify strategies that assist pedagogues in conveying information more clearly to their students so that they can comprehend more. This is a concept that the most prudent teachers consider and…
Research Paper Doctorate
Gender differences in Internet usage patterns and purposes
Gender Inequality concerns are also plaguing the world of new technologies the same way they have been haunting us in other areas. It is widely believed that women are less frequent users of the Internet and new related…
Research Paper Doctorate
George Washington's leadership and opposition to British taxation
There have been many people in American history who have dedicated their lives to the people and progress of the nation, and perhaps none are more notable than our very own one dollar bill - George Washington, who not…
Research Paper Doctorate
Benoit Mandelbrot and the development of fractal geometry
Fractal Geometry is a somewhat new branch of mathematics that was developed in 1980 by Benoit B. Mandelbrot, a research mathematician in I.B.M.'s Thomas Day Watson laboratory in New York.
Research Paper Doctorate
How children's intuitive fraction strategies are lost through traditional instruction
This article deals with the idea that the way that children learn about fractions and other mathematical concepts might actually be hurting them. The concern is that traditional teaching methods are not really the best…
Research Paper Doctorate
Clint Brookhart's "Math to Answer Everyday Imponderables" evaluated
¶ … Math to Answer Everyday Imponderables by Clint Brookhart is a math book, which can be described as interesting, engaging and yet too simplistic. While it covers some truly amazing imponderables, there are some…