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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
Analysis of racial and ethnic achievement gap trends in education
¶ … Racial and Ethnic Achievement Gap Trends: Reversing the Progress toward Equity? By Jaekyung Lee. This article discusses setbacks in the achievement of racial and ethnic minorities, and identifies some of the key…
Research Paper Doctorate
Perception theory: top-down and ecological approaches to vision
The issue of perception in various fields, including philosophy and psychology has been debated with vigor over the last fifty years. In fact, a large amount of experimental work has been completed regarding questions…
Paper Masters
Exposed to Many Useful Sources of Inspiration
¶ … exposed to many useful sources of inspiration and opportunity. I truly embraced all of the diversity that existed in the highly urban melting pot in which I was raised. As a result, I was able to learn a great deal…
Paper Doctorate
Oil's impact on Western policy toward non-oil-producing Middle Eastern states
For the U.S. and other Western powers, oil supplies are the only real interest in the Middle East, and most people in the region are well aware of this fact, and of numerous Western attempts to establish and support ‘friendly' authoritarian regimes like that of Hosni Mubarak in Egypt and the monarchy in Jordan. Public opinion polls in Turkey, Egypt, Morocco, Jordan and Pakistan actually show majority support for Western political and economic ideas, including democracy, but opposed U.S. foreign policy in general because they believed it to be motivated by control over oil supplies. None of this is new, and the West has been pursuing such policies since the collapse of the Ottoman Empire after World War I, when Britain and France divided up the region between them. After World War II, the U.S. stepped in the void as these older empires declined, although it faced considerable resistance from nationalist movements in both oil and non-oil Arab countries.
Paper Undergraduate
Ucsd Application as a Resident of Taiwan,
As a resident of Taiwan, I know all too well how devastating an earthquake can be. Japan and Taiwan both experienced earthquakes in March, 2011. The lives lost and physical damage sustained remind us of nature's power.
Research Paper Doctorate
Hernando County schools and No Child Left Behind compliance
Hernando County and NCLB: Mandate for Drastic Change
Research Paper Doctorate
Ibn Sina's contributions to philosophy and medicine in medieval Islam
The great Avicenna or Abu Ali al-Husayn Ibn Abdullah Ibn Sina, born in 980 was often known in the West by this Latin name. Among all the Islamic philosopher-scientists this Persian physician became not only the most…
Research Paper Doctorate
Karl Friedrich Gauss and his mathematical contributions
¶ … theory on plate tectonics, the theory of Motion of heavenly bodies and several other theories that were developed during his lifetime.
Paper High School
Motivations for becoming a secondary mathematics teacher
Why did you decide to become a secondary school mathematics/science teacher?
Research Paper Doctorate
Educational alternatives to standardized testing in American public schools
Would vo-tech be a better public school goal?