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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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Research Paper Undergraduate
Alexander von Humboldt's tropical expedition and geographic theory
¶ … GERMAN GEOGRAPHER ALEXANDER HUMBOLDT: A BIOGRAPHY of HUMBOLDT'S CONTRIBUTION & INFLUENCE on MODERN GEOGRAPHIC THEORY
Paper Undergraduate
The historical opposition between metaphysics and psychology as sciences
Metaphysics and Psychology have historically been at odds with one another in what is an unnatural although real separation from a somewhat new science and its mother science. Although many believe that psychology and…
Paper Masters
Robert Hartman's mathematical system for measuring human values
Axiology has to do with the philosophical science of value. Usually, when we mention values we are referring to ethics. The two main types of value studied in axiology are ethics and aesthetics.
Paper Undergraduate
Differentiating ideology, philosophy, and theory in education
The concepts of ideology, philosophy, and theory are interrelated in ways that account for difficulty in understanding their distinctions (Rosenstand, 2008). The fact, for example, that all ideologies incorporate (or…
Essay Doctorate
Adapting math and literacy instruction for lower-ability primary students
Teaching assistant in primary schools. Math and literacy: how to adapt lesson for lower ability group of children.
Paper Undergraduate
The life and work of Eudoxus of Cnidus
Boyer, in his "A History of Mathematics" gives a quote from Eudoxus that is quite self-descriptive of this genius, "Willingly would I burn to death like Phaeton, were this the price for reaching the sun and learning its…
Research Paper Undergraduate
University tutors and elementary math achievement in rural schools
Baker, John D., Sue a. Rieg, & Tom Clendaniel. 2006. "An investigation of an afterschool math tutoring program: University tutors + elementary students=successful partnership. Education.
Research Paper Undergraduate
Forensic science's role in criminal investigation and evidence analysis
In very general terms, forensics can be defined as the application of science to law. (a Career in Forensic Science: What is Forensic Science?) Forensics is usually referred to in the context of criminal cases and…
Paper Undergraduate
Educator perceptions of mathematics reform practices since high-stakes testing implementation
One aspect of math instruction and instruction in general that has been particularly important with high stakes testing reform is staff development and system support of staff and students to improve outcomes and/or…
Paper Undergraduate
Renaissance and Baroque interpretations of Judith and Holofernes
Often, in the history of art, certain themes are portrayed again and again. Throughout much of Western History, religion provided a source of artistic inspiration. The Biblical story of Judith and Holofernes was…