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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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Paper Undergraduate
The sense of beauty: aesthetic theory and human experience
¶ … beauty: being the outline of aesthetic theory" is meant to be an account regarding the theory of aesthetics, which is the main topic of discussion throughout the document. While the theory of aesthetics is essential…
Paper Undergraduate
Cultural borrowing and innovation across Western civilizations from Mesopotamia onward
¶ … society as if it were essentially autonomous: There were the Egyptians, and the Greeks, and then the Romans, and so forth. But while, of course, there are core practices, habits, and beliefs -- and historical…
Essay Doctorate
How people develop different forms of knowledge and epistemology
This paper addresses the nature of knowledge. It focuses on how people acquire knowledge and what knowledge actually is as it relates to facts versus beliefs. Also included is a discussion of how personal views on epistemology fit into organizational views of knowledge.
Paper Undergraduate
Architectural principles in ancient Mesopotamia, Egypt, Greece and Rome
¶ … human history, the concept of expression through architecture, stone, granite, metal, wood and concrete has extended through the course of human history. Since the dawn of time man has attempted to express himself…
Paper Undergraduate
Ancient Egypt's contributions to education, writing, and architecture
¶ … ancient art and civilization. Specifically it will discuss the primary contributions of Ancient Egypt to Western Civilization. In most ways, ancient Egypt was an advanced culture that led the world in building, art,…
Paper Undergraduate
Teaching children with autism to play Guitar Hero II
This paper provides a summary and analysis of four peer-reviewed journal articles concerning autism published within the last 4 years in the English language. In addition, the paper provides the topic, rationale, results, and conclusion of for each of the studies reviewed and provides a copy of the resources used as well.
Research Paper Undergraduate
Why I'm passionate about mathematics, science, and engineering
Do not worry about your difficulties in Mathematics. I can assure you mine are still greater." -- Albert Einstein
Paper Undergraduate
Delimitations Today, Modern Business Systems
Today, modern business systems help an increasingly globalized world function in seamless ways. In fact, English is rapidly becoming the lingua franca of the business world and transnational borders and cross-cultural…
Paper Undergraduate
How break dancing and science shaped my adaptability and social growth
College communities are generally formed of people with diverse backgrounds, who are brought together by common interests and goals for their future. Being in college means that you have already shaped a great part of…
Research Paper Undergraduate
Public and Private Schools Co-Exist
The fundamental purposes of the public schools in the United States have not changed in substantive ways in recent years, but their effectiveness has become the focus of an increasing number of studies that seek to…