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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
Staff Development and Its Impact on Student Achievement
¶ … Staff Development and Student Performance
Paper Undergraduate
Fascination and Repulsion: Otherness in Calcutta Fiction
In this chapter, I examine similarities and differences between The City of Joy by Dominique Lapierre (1985) and Song of Kali by Dan Simmons (1985) with regard to the themes of the Western journalistic observer of the Oriental Other, and the fascination-repulsion that inspires the Occidental spatial imaginary of Calcutta. By comparing and contrasting these two popular novels, both describing white men's journey into the space of the Other, the chapter seeks to achieve a two-fold objective: (a) to provide insight into the authors with respect to alterity (otherness), and (b) to examine the discursive practices of these novels in terms of contrasting spatial metaphors of Calcutta as "The City of Dreadful Night" or "The City of Joy." The chapter further argues that these spatial metaphors are redolent of what Peter Stallybrass and Allon White (1986) refer to as the "phobic enchantment" (p. 124) of the Occidental social imaginary for the poverty, squalor and the horror of the Third World.
Paper Undergraduate
Rise and Fall of the Arab-Islamic Empire: A Brief History
Muhammad appointed no successors and had no sons, only his son-in-law Ali. In fact, under Islam there could never be another prophet after Muhammad since his revelation was considered to be the true and final word of God.
Research Paper Doctorate
School Testing Methods and Career Development Programs
¶ … interview with a high school guidance counselor concerning student testing and performance. The school has three different testing methods: Plan for sophomores, PAST Preliminary for SAT exams, and End of…
Essay Doctorate
Is the World Ordered by Superhuman Intelligence? A Bostrom Analysis
There is very little evidence that indicates tha the world is currently under the sway and orderings of some sort of super-human intelligence. In fact, some of the most recent evidence to date on this topic suggests that such plans are likely to manifest in the future, not the present. There are several sources which corroborate these facts.
Research Paper Doctorate
The Missing Reel: Louis Le Prince and the Invention of Film
The Untold Story of the Lost Inventor of Moving Pictures by Christopher Rawlence
Paper Masters
Isotopes, Allotropes, Electrolysis, and Quantum Entanglement
The 19th century discovery of the periodic table of the elements by Dmitri Mendeleev gave an organizing principle to understanding the structure of the atom, and deriving atomic weight.
Paper Undergraduate
Personal Financial Advisor vs. Economist: Career Comparison
This paper is about career planning. Specifically, it asks to do research on two positions and then write a reflective paragraph about them. The two professions in this paper are personal financial advisor and economist. These are outlined according to information from the Occupational Outlook Handbook, and then there are reflections.
Essay Undergraduate
Dewey vs. Hirsch: Progressive vs. Traditional Education
In the U.S. the conflict between progressive and traditional education has been going on for over 100 years, and E.D. Hirsch and John Dewey are polar opposites in this pedagogical and philosophical conflict. Dewey was indeed a support of the Left in politics who wanted the U.S. to become a social democracy and move away from more traditional conservative ideas. He thought that democratic socialism would be the wave of the future in urban, industrial society, and that the traditional education system was not preparing students to participate as active citizens in this new society.
Research Paper Doctorate
Oxford University in the High Middle Ages: Origins and Society
It is said that the University of Oxford was not created, that rather it emerged. Universities in general, and the University of Oxford in particular, are among one of the many contributions of Medieval civilization to…