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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
Standards-based assessment systems and grading criteria in education
Across the nation, states are setting tough new education standards, defining what students should know and be able to do. To help students meet these standards -- and to measure their progress in doing so -- states are…
Research Paper Doctorate
Alsup's constructivist classroom rules for preservice elementary mathematics teaching
¶ … New Classroom Rules to Promote Preservice Elementary Teachers' Mathematics Learning," John k. Alsup proposes new means of teaching math to preservice school teachers. According to the author, who bases his findings…
Paper Doctorate
Analysis of James Stein's "How Math Explains the World"
The title of James Stein's book, How Math Explains the World, is, perhaps, a bit deceptive. The reader who is expecting simplified explanations of complex mathematical principles will be disappointed.
Research Paper Undergraduate
The benefits and drawbacks of looping in school systems
School systems are regularly looking for new ways to enhance learning and the student's transition from one class level to the next. Looping, or when students stay with the same teacher for more than one grade level, is…
Essay Doctorate
Wassily Kandinsky's life, artistic philosophy, and abstract painting legacy
The paper is about the life of Wassily Kandinsky. The paper considers his philosophy and the diversification of his interests as a strong foundation for his prolific professional career. The paper additionally references influential personal experiences that inspired him to move from a successful career in Economics, to an unbelievable career in abstract art.
Paper Undergraduate
Assistive technologies enhancing mathematics education for learning disabled students
For the learning disabled, mathematics may be an especially difficult subject to grasp. However, more recent developments in electronic and software technology are leading to greater opportunities for assisted learning. The discussion here considers some of the instructional strategies for teaching the Learning Disabled through Assistive Technologies.
Research Paper Doctorate
New River Middle School's marine science magnet program and school improvement plan
The vision or mission of "New River Middle School of Marine Science is to use science as a vehicle through which the entire school program will be enhanced while encouraging the total development of every student's…
Paper Masters
Social transformation during the early Arab conquests of Byzantine territories, 632-750
This paper is a discussion of the empires of Byzantine and the Early Arabs and their interaction in the period from 632 to 750. It discusses the social effects of the interactions in both societies. It explores the results of the conquests on the social civilization of the Byzantine and Arab society.
Research Paper Doctorate
The branches, principles, and real-world applications of calculus
¶ … Calculus? Calculus is a vast topic and it also forms the basic foundation of any calculations that are based on math. Calculus is divided into two branches, one being differential, and the other being integral.
Research Paper Doctorate
Direct and relational bullying among primary school children
Woodsa, S. & Wolkeb, D. "Direct and relational bullying among primary schoolchildren and academic achievement"