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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
Philosophical definitions of existence: horses, numbers, and impossibilities
This order is a four page paper evaluating the philosophical existence of four items. It includes a clear one-sentence definition and then further explanation of that definition within the introduction. The body of the paper evaluates four objects: A horse, the number 4, a unicorn, and a square circle as to whether each object exists. There are four sources used for the paper which are cited in MLA format.
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Paper High School
Russian scientists' major contributions to space exploration and physics
This paper is about Russia's contribution to science. Russia has contributed a lot to the current advanced state of Science. Although, the current state of scientific research in Russia is not satisfactory but if proper policies and strategies are designed to solve the problems prevalent in the field of science then Russia can once again emerge as a major contributor to the field of science.
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Research Paper Doctorate
Technology enhances but cannot replace effective teaching
Technology does not replace pedagogy. Technology enhances pedagogy."
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Paper Undergraduate
Alan Turing's contributions to computer science and mathematics
Alan Turning was born in England in 1912, and his natural aptitude for mathematics and the sciences was noticed early on (Wikipedia). He attended the Sherborne School from 1926 to 1931, where instructors were frustrated…
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Paper Undergraduate
Byzantine influence on Grand Mosque of Damascus construction
¶ … Islamic Golden Age was open to the humanistic notions of individualism, liberalism, religious freedom, and cross-cultural exchange (Hassan). These notions influenced the management philosophies used by master…
~1 min read
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Paper Doctorate
The Florida Comprehensive Assessment Test and educational accountability
Florida spends less than one half of one percent of the total investment in public education on the testing program (FDE, 2012). That is $59 million out of $16.5 billion. Yet the norm-referenced requirement was pulled from the testing program due to the costs of implementing the Florida Comprehensive Assessment Test (FCAT) (FDE, 2012). The implementation of an academic testing program can have substantive benefits for both students and educators. One of the most important benefits is the establishment of high expectations for student academic performance (FDE, 2012). In addition, because of the deliberate integration of tests across the curriculum, linkages are more likely to be established and the curriculum can be solidly integrated, which fosters deeper understanding (FDE, 2012). An ideal goal for Florida's public school assessment configuration would be one that capitalizes on the synergistic capabilities of high academic standards and to resist public pressure to modify standards when the progress slope is less than desirable (Roschewski, 2001).
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Paper Doctorate
Foreign language retention and enrollment decline in postsecondary education
As the culture in which we live becomes increasingly diverse and highly focused on globalization, concepts of foreign language teaching and learning at all levels of education becomes increasingly important.
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Research Paper Doctorate
The golden ratio in mathematics, geometry, and classical architecture
The golden ratio is acknowledged as the divine proportion golden mean, or golden section is represented as a number mostly confronted while considering the ratios of distances in simple geometric diagrams like…
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Paper Doctorate
A differentiated unit plan on the Great Depression
The Great Depression: The Great Depression was a major economic slump in North America, Europe and other industrialized areas of the world. It lasted from 1929 until about 1939. It was the worst economic depression that…
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Research Paper Doctorate
Education reform's impact on science teaching methods
The education reform movement has been gaining serious attention from politicians, educators, parents and students. These reforms have placed a heavy stress on providing curricula that will result in the appropriate…
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