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:
Research Paper Doctorate
Venus in Art: From Classical Myth to Renaissance Beauty
Throughout history, Venus has long been a source of inspiration for artists. Her representation of love and beauty has been captured in various mediums, from the visual arts of paintings and sculpture to music and…
Paper Doctorate
Digital Signature Schemes: Cryptography and Factorization
The objective of this study is to discuss an issue in cryptography or computer security. Digital signatures are described as "an analog of handwritten signatures" which are based on "the physically idiosyncratic way of signing one's name. But they can be easily forged." (Grabbe, 1998) The digital signature is "a mathematical method of attaching one's identity to a message" and is held to be more difficult to forge than a handwritten signature." (Grabbe, 1998) Public key cryptography is used for digital signatures and is such that uses two keys: (1) Take an ordinary plain-text message and apply one of the keys to it in an encryption process, and you end up with a scrambled or "encrypted" (or, in the current context, "signed") message; and (2) Apply the other key to the scrambled message in a decryption process, and you end up with the original plain-text message. (Grabbe, 1998)
Research Paper Doctorate
PSSA Remediation Plan: Learning Lab for Pennsylvania Schools
Educational Leadership & Student Assessment in Pennsylvania
Paper Undergraduate
Memory Accuracy: Imagery vs. Abstract Mental Representations
There are a number of fallacies associated with the human memory as demonstrated by empirical evidence in a number of evidence. This concept is explored within this paper, which constructs original research that corroborates this premise. Altogether, perception-based mental representations are more fallible than meaning-based ones, which has substantial legal repercussions
Research Paper Doctorate
Descartes on Why Psychology Cannot Be a Science Like Physics
Rene Descartes: Why Psychology Cannot be a Science Like Physics
Research Paper Undergraduate
Actuaries: Role, Mathematics, and Career Overview
The Jobs Rated Almanac has printed five editions from 1998 to 2001 (Society of Actuaries, n.d.). In two of these editions, "actuary" was rated as the best career in terms of environment, income, employment, outlook,…
Paper Doctorate
Integrated Unit-Themed Curriculum for Grade 5 Students
The development and delivery of curriculum can take many approaches. One of the most effective approaches used in the creation of lesson plans is integrated, unit-themed curriculum, in which a central theme chosen by…
Paper Undergraduate
Intrinsic and Extrinsic Motivation in the Classroom
This paper discusses the application of principles of intrinsic and extrinsic motivation and the appropriate use of technology and instructional interventions for elementary school age students with varying academic and social skills levels. The first two sections discuss the application of principles of intrinsic and extrinsic motivation in Sarah and George’s scenario and incorporating technology in the class. The other parts provide recommendations of instructional interventions to be used for Sarah and Walden.
Research Paper Doctorate
Hawaiian and Sandwich Islands: History, Culture & Religion
The history of the Hawaiian and Sandwich Islands during the 18th century is as colorful and unique as the flowers that are grown in the region. On December 23, 1826, a treaty between the United States of America and the…
Research Paper Doctorate
My Forbidden Face and The Woman Warrior: Resistance Under Oppression
In My Forbidden Face, Latifa narrates a poignant coming-of-age story of a young girl growing up under the brutal regime of the Taliban. Latifa skillfully pulls the reader into a world that seems that of a typical…