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:
Paper Doctorate
Cognitive Load Theory, Vygotsky, and Piaget's approaches to learning
¶ … teaching i.e. Development, environmental and Cognitive Load Theory in light of scholarly references. With this analysis a theorist with greatest coherence with my preferred approach is chosen selected.
Research Paper Doctorate
J.P. Morgan and the evolution of American financial institutions
John Pierpont Morgan (1837 -- 1931) is one of the more controversial figures in the history of America and the world of finance. Described as a sui generis, a colossus (McCallum, p.
Research Paper Doctorate
Nasar's "A Beautiful Mind": Schizophrenia and the real John Nash
For anyone who has seen the film A Beautiful Mind John Nash comes across as a man troubled by schizophrenia, yet able to achieve success in his life. While his illness does cause him significant problems, he is still…
Research Paper Doctorate
Teacher self-efficacy and technology integration in the classroom
Data Analysis and Related Literature review.
Essay Doctorate
The Berlin Society for Empirical Philosophy and logical positivism
I added some to extend certain parts. I looked to be more specific with quotes but didn't find anything that fit well. Please note that much of the substance comes from the websites of Stanford.
Essay Doctorate
Aerodynamic coefficients and downforce effects on racing car performance
This paper conducts a study on the influence of aerodynamic coefficients on the performance of an LMRI car. In addition, the report uses auto cad design as well as Bosch software to analyze the influence of aerodynamics on LMRI car performance. The paper gives conclusion on the influence of aerodynamic coefficients on the performance of an LMRI car.
Research Paper Doctorate
Individual genius and cultural context in mathematical discovery
How Mathematics Grows: The Role of the Individual and the Culture
Research Paper Doctorate
The Civilian Conservation Corps as a model for youth employment programs
Sixty Percent of the youth between eighteen and thirty in Detroit are unemployed, have not completed high school, are at various levels of functional illiteracy, without job skills, and are living on welfare or through…
Paper Undergraduate
The Renaissance: intellectual, artistic, and architectural transformation in European history
This paper comprises a series of introductions and conclusion to a number of sections of a thesis on architecture and building in history. These sections include the following: History of the Renaissance; History of the Scientific Revolution; History of the Industrial Revolution; and the History of the Machine Age. These introductions and conclusions summarize the main historical as well as other influential aspects that led to the different styles and architectural methods and principles in each age.
Paper Undergraduate
Determining appropriate sample selection in research studies
A number of factors must be accounted for in order to successfully determine a sample for a research study. Determinants include whether or not the study is quantitative or qualitative, the research design, as well as whether nonprobability or probability sampling measures are preferred. The systematic method of ascertaining this information is denoted within this document.