Essay Topic Hub

Mathematics
Essays

1,469+ paper examples, study guides & outlines

1,469 papers
UG & Grad levels
Free to browse
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.

1,469 papers
Sort by:
Thesis Doctorate
Personal Financial Advisor: Career Overview and Requirements
Personal financial advisors review the financial needs of people and help them with investments, tax laws, and insurance decisions. Advisors help their clients recognize and plan for both long range and short range objectives. Advisors help clients plan for retirement, education expenses, and general investment decisions. Many also supply tax advice or sell insurance. Even though most planners offer advice on a wide assortment of topics, some specialize in areas such as retirement and estate planning or risk management
Research Paper Undergraduate
Intelligent Design vs. Evolution: Theories, Cases & Opinion
One of the major issues concerning evolution and speciation -- or, rather, how the flora and fauna that we see around us came to be, starting from species that are largely now extinct -- is the process or mechanism by…
Research Paper Undergraduate
Plato's Cave and Descartes: Reality, Senses, and Knowledge
Allegory of a Cave in Book 7 of Plato's Republic
Paper Doctorate
Accounting Career Plan: Goals, Strategy, and Portfolio
Career analysis of Public Accountancy as part of MBA Global Business. Steps to reach goals. Resume, application letter etc.
Research Paper Undergraduate
Abraham Lincoln: From Log Cabin to President
Born February 12th, 1809, in Hardin County, Kentucky, Abraham Lincoln rose from humble beginnings to become one of the most loved presidents of the United States, in American history.
Paper Doctorate
Technology for Students With Learning Disabilities in Class
This paper focuses on the use of technology in teaching students with learning disabilities. The paper looks at different types of disabilities and assistive technologies for each type of disability. The paper also looks at the role of technology in assisting disabled students. Lastly, this paper looks as the benefits as well as pitfalls of using technology in teaching students with learning disabilities.
Research Paper Doctorate
Home-Schooled Students and Public School Sports Access
Home school athletes in public school sports programs.
Research Paper Undergraduate
Socrates and Plato's Dialogues: Piety, Wisdom, and Truth
This paper examines Plato's Dialogues and answers specific questions regarding the character of Socrates and his dialogues. It looks at the Apology, Euthyphro, the Symposium, Crito, Gorgias, and Phaedo. It answers such question as "How should one live his life?" and "What is the true nature of piety?"
Research Paper Undergraduate
Machiavelli and Hobbes: Founders of Modern Political Science
¶ … Machiavelli and Thomas Hobbes influenced the entire direction of political thought within their respective generations. Their influence resulted from political documents that changed the way we view the nature of…
Essay Doctorate
Plato and Aristotle: Theories of Knowledge Applied Today
Philosophy Matrix II: Ancient Quest for Truth Historical review of human knowledge shows, at least in part, an unsteady progression from myth to half-scientific, half-philosophical thoughts to philosophy, culminating in the teachings of Plato and Aristotle and beyond them in the teachings of Plotinus. Pre-Socratic Philosophers such as Pythagorus, Heraclitus, Parmenides, Melissus, Zeno and Anaxagoras rejected mythological explanations of life and beyond, choosing to explore the rational explanations about the "essence" of things. As a result, Pre-Socratic philosophers, posed questions, posited theories, borrowed from each other, expanded on each other's theories and often disagreed. This early Greek Philosophy continued to develop until it "flowered in the two great philosophies of Plato and Aristotle." Plato and Aristotle considered theories of Pre-Socratic philosophers and rejected, explained, synthesized and incorporated elements of those theories as they saw fit. Plato built on Pre-Socratic Philosophy's stress of the rational and moral by his expanded theories of knowledge in 4 steps along a divided line, his Doctrine of Forms, which were deemed an "enormous advance" on prior pre-Socratic theories, and his theory of morality that expanded prior thought to point to "an absolute moral code." Aristotle built on Pre-Socratic Philosophy by further synthesizing the Doctrine of Forms, developing his First Principle and Theory of Ethics, for several examples. In sum, the philosophies of Plato and Aristotle are deemed an early and highly significant culmination of human thought's progression from myth to philosophy.