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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 Doctorate
Euclid's Fifth Postulate: Logic, Philosophy, and Proof
Philosophical and Logical Problems Contained in Euclid's Fifth Postulate
Research Paper Doctorate
Statistical Education: Research, Methods, and Improving Outcomes
Statistical education trains students in the science of collecting, displaying, analyzing and interpreting numerical data. It is often referred to as "the science of doing science."
Research Paper Doctorate
Self-Perception, Culture, and Impressions in Leadership
Interrelationship of Self-Perceptions, Culturally-Based Perceptions, Impressions, and their effects on Leadership Abilities
Research Paper Doctorate
Ibn Rushd (Averroes): Islamic Philosophy and Rationalism
Abul-Waleed Muhammad Ibn Rushd: His Work and Philosophy
Paper Masters
Pascal, Schleiermacher, and Theological Apologetics Compared
Pascal's projected apologia for Christian belief, for which the text of the Pensees offers some glimpse, would ultimately have reflected his sincere conversion (of sorts) to the gloomy Jansenist theology which hovers…
Research Paper Doctorate
Mesopotamian vs. Egyptian Civilizations: A Comparative Study
This paper will compare and contrast the Mesopotamian and the Egyptian civilizations, in particular the political, social, economical and religious differences. The paper also discusses the role Nature played in each…
Research Paper Doctorate
Newton's Three Laws of Motion Explained
The Three Laws of Motion: Isaac Newton's Greatest Contribution
Paper Undergraduate
Baghdad as the Abbasid Muslim Cultural Center
Baghdad (Importance in Abbasid Period as a Muslim Cultural Center)
Paper Undergraduate
Constructivism and Classroom Curriculum Design in K-12
Introduction Over 1,100 curriculum books have been written since the turn of the [20th] century; each with a different version of what ‘curriculum' means (Ackerman, 1988). I define classroom curriculum design as the sequencing and pacing of content along with the experiences students have with that content. My use of the qualifier classroom is important. By definition, I am considering those decisions regarding sequencing, pacing, and experiences that are the purview of the classroom teacher. Some aspects of curricular design are addressed at the school level if, in fact, a school has a guaranteed and viable curriculum. Regardless of the direction provided by the school (or district), individual teachers still need to make decisions regarding curricular design at the classroom level given the unique characteristics of their students. Indeed, in a meta-analysis involving 22 studies, Anderson, (2003) found a strong relationship between a student's knowledge and experience with content and the type of sequencing and pacing necessary to learn that content (Jonassen, 2009).
Research Paper Doctorate
Oracle Bones in Traditional China: Divination and Beyond
During the Shang dynasty in China, oracle bones were used as not only a divination tool, but also in conjunction with medicine, mathematics and recording of events and history. These oracle bones, or 'dragon bones' were…