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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
Capital punishment, deterrence, and prison reform in Texas
¶ … Capital Punishment in Texas. Look at the benefits, drawbacks, costs, and moral and ethical questions raised by imposing the death penalty as punishment in the state of Texas. Do you believe state government should…
Paper Undergraduate
Inductive and deductive reasoning in geometry proof
Geometry as a subject learned in school has a primary purpose, and that is to improve the ability of students to reason logically. Logical reasoning is one of the most vital things that a student can learn, not only for…
Paper Undergraduate
Technology's role in primary school mathematics teaching and learning
Technology and Mathematics education (technology as a whole or individual aspects of technology e.g. use of calculators, smart board, web quests, laptops, data projectors, calculators, Web 2 activities) or The…
Research Paper Undergraduate
Student perceptions of for-profit versus non-profit educational institutions
RESEARCH on for-PROFIT SCHOOLS and UNIVERSITIES
Paper Undergraduate
The Rubik's Cube and mathematical problem-solving passion
¶ … Rubik's Cube first came to market in the 1980s, it was sold as a toy. The bright colors and seeming simplicity of the cube made it accessible to kids and adults alike. When my friends or my parents picked up my…
Paper High School
Improved Your Knowledge, Skills, Abilities,
¶ … Improved Your Knowledge, Skills, Abilities, and Yourself in This Session Through This Course
Paper Doctorate
Lawrence Kohlberg's theory of moral development stages
Lawrence Kohlberg's psychological theory of moral development is broken into three levels and a total of six stages (two stages for each level). Level One is the pre-conventional level of moral reasoning.
Paper Undergraduate
Mathematical properties and natural examples of fractals
Fractal, in its completed and perhaps complex form, resembles a fracture or a series of complicated and uncoordinated breaks. Indeed, the word can trace its origins to the Latin fractus, which means fractured or broken.
Paper Undergraduate
The American Mathematical Society, Mathematical Association of America, and related organizations
The American Mathematical Society which was founded in 1888 in order to further mathematical research and scholarship today fulfills its mission through programs and services that promote mathematical research and those…
Paper Undergraduate
Mathematical innovation in ancient Greece versus practical application in Rome
¶ … legacies of ancient Greece and ancient Rome in the area of development and use of mathematics. Discuss possible reasons why there were a lot of mathematical developments in ancient Greece but mostly applications in…