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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
Reading and math achievement trends in American schools, 1990-2000
¶ … academic progress for American students: The Brown Report, and a report by the national Assessment of Educational Progress (NAEP).
Paper Doctorate
Direct marketing strategy for GNN membership retention and growth
GNN has several objectives that need to be addressed in the immediate future if they wish to continue to have success. Some of their marketing is currently problematic, and they wish to:
Research Paper Doctorate
Pursuing architecture through a degree in art and advanced study
Intended Major: Art and Architecture hope to major in the discipline of art, gaining my B.A. In art, and then pursuing a M.A. In architecture, with the aim of becoming a licensed architect.
Research Paper Doctorate
Cubism's rejection of representational tradition in sculpture
Cubism as an artistic style and movement began as a revolt against the traditions and the artistic norms of previous centuries. Cubist painters and sculptors like Picasso rejected many of the formally accepted elements…
Research Paper Doctorate
Islamic scientific achievements and their influence on modern science
Many people are surprised when they learn of the tremendous debt modern science holds to Islam and the Arab world. Indeed, although most imagine the origins of science to be a Western phenomenon, arguably the greatest…
Research Paper Doctorate
Sam Wineburg's "Historical Thinking and Other Unnatural Acts"
When someone mentions a historical fact, we more or less accept it as just that -- a fact, without ever questioning the authenticity of the source, analysis and interpretation process applied to it and the accuracy of…
Research Paper Undergraduate
The multiverse hypothesis and its scientific theoretical frameworks
¶ … multiverse is a line of thought that that proposes the existence of multiple universes. The hypothesis advances the notion that the set of multiple universes are what together make everything that exists physically…
Research Paper Doctorate
Do college grades accurately reflect student academic capabilities
¶ … college grades accurately reflect the academic capabilities of students. I base my argument on my personal experience. In order to achieve a 3.74/4 grade point average, I spent not only countless number of hours in…
Essay Doctorate
Amy Tan's "Mother Tongue" and code-switching in family communication
¶ … strong interest with language. She holds the view that language is a powerful tool which can evoke emotion, a complex idea, a visual image or just a simple truth. She noticed keenly of the different English that she…
Research Paper Doctorate
Plato, Aristotle, Hume, and Berkeley on knowledge and reality
Epistemology (the study of knowledge) has occupied philosophers and laypeople alike for as long as human beings have had a conception of reality and knowledge. Many philosophers, beginning with Plato, have argued that…