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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
Descartes' method of systematic doubt and the cogito
Skepticism is the definition where each and every aspect of one's knowledge -- including belief of one's reality is questioned. Determined to investigate the source and truth of his knowledge, Descartes determined to…
Paper Doctorate
Graphics capabilities and applications of the SAS statistical software system
SAS contains an excellent graphics package for producing graphics and visuals to enhance the display and reporting of statistical information. The focus of this study is to examine the graphics uses of the SAS system and to provide a description for each use of graphics with the SAS system and then to compare the SAS system with other graphics packages available in today's market. Toward this end, this work will conduct a review of literature in this area of study.
Research Paper Doctorate
Spinoza's deterministic philosophy and the influence of biography on thought
According to the Internet Encyclopedia of Philosophy, Benedict de Spinoza was among one of the most important of the post-Cartesian philosophers "who flourished in the second half of the 17th century" and dealt with the…
Paper Doctorate
Richard Feynman's integrity and pursuit of unconventional interests
When I was in high school, I watched a documentary on the Challenger disaster in 1986 when the first of two of the Space Shuttle craft fleet exploded shortly after liftoff. One of the most intriguing aspects of the…
Paper Doctorate
Teaching algebraic concepts to struggling students through mnemonics and vocabulary
Jeffery has problem understanding algebraic concepts such as polynomials and factoring. Jeffery doesn't require any special aids and his learning capabilities are normal for his age.
Paper Undergraduate
Hypothesis testing in quantitative research methodology
A critical element of research is determining whether a set of observations are the product of chance or the result of the action on the independent variable on the dependent variable.
Paper Doctorate
Knowledge, skills, and attributes managers need for the twenty-first century
The 21st century demands a different skill set of workers than existed in previous eras. This paper reviews some of these critical skills, such as technical knowledge, managing diversity, and strong communication abilities. Workers must seek to improve these KSAs to avoid being left behind in a technologically connected global community that demands flexibility and adaptability in the face of constant change.
Essay Doctorate
Using student interests to motivate music practice and learning
¶ … Joe,' a young student whom I observed while he was engaged in a music lesson. An exciting aspect of music education is that students often have an innate interest in the subject.
Paper Undergraduate
Victor Frankenstein's dangerous pursuit of forbidden scientific knowledge
Mary Shelley conceived of Victor Frankenstein as playing God, in much the same way as some individuals today see scientists who are seeking to discover things which they consider best left undiscovered and mysterious.
Paper Masters
The Fibonacci sequence in Dan Brown's Da Vinci Code
In the novel the Da Vinci Code, Dan Brown uses the Fibonacci sequence (in a scrambled version) as one of the clues left for the cryptographer (Rogak, 2005). It is something in the book that many people would probably…