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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
Test-taking strategies for the Praxis II Science examination
As a part of teacher certification and licensure, most states require that the teacher candidate take a series of state mandated tests known as the Praxis. The Praxis consists of three different tests.
Paper Doctorate
Frege's logicist foundation of arithmetic and philosophy of mathematics
¶ … Frege's much-discussed book, The Foundations of Arithmetic, is an influential and valuable insight into the philosophy of mathematics. A German mathematician and philosopher, Gottlob Frege was unwaveringly devoted…
Paper Doctorate
Operations research: methods and applications
During my third year of my undergraduate studies in mathematics I was struggling to stay attentive to my required courses. Although I deeply enjoy mathematics and mathematics theory, I was finding that much of my…
Paper Doctorate
Civility in the workplace: defining respect and addressing incivility
Civility is an act of being polite and having respect for others. It also entails having regard for others and being courteous. Civility entails being ready to listen to what others have to say or suggest, being ready…
Research Paper Doctorate
Barriers to educational technology integration in U.S. schools
¶ … federal funding for educational technology, U.S. The elementary through high schools have become much more IT sophisticated in the past five years.
Research Paper Doctorate
The Scientific Revolution and its transformative impact, 1500–1700
The three hundred years between 1500 to 1700 a.D. was a period of a profound change in the thinking of the people (of Europe in particular). During this time, the centuries old beliefs of the people based on dogma and…
Research Paper Doctorate
The Council of Trent and the Catholic Reformation's response to Protestantism
The Protestant Reformation forced the Catholic Church to redefine itself, its "inner life," and the role it would play in the greater social, political, and theological rubric of Christianity.
Paper Undergraduate
Case formulation for Salomon: a clinical assessment and care plan
Psychotherapeutic Case Formulation Salomon has clearly evidenced educational and emotional problems at least since the 6th grade; however, this 9th grader has apparently neither been thoroughly physically and psychiatrically evaluated, nor received an Individual Education Plan, evincing a stunning level of neglect by his educators, the school psychologist and his Nurse-mother, all of whom theoretically know better. Salomon is struggling with anxiety, depression, adjustment disorders and learning disabilities within an environment that has neglected him for far too long. At the age of 15, Salomon will ideally receive the solo counseling, family counseling, school counseling, remedial education and transitional planning to effectively assist him in dealing with his difficult circumstances. In fact, Salomon may prove to be a cautionary tale and model for his educators' administrators' and school psychologist's more enlightened treatment of students who exhibit problems at an earlier stage of their education.
Research Paper Doctorate
W.E.B. Du Bois's "Of the Wings of Atalanta" and liberal arts education
W.E.B. DuBois was an American Negro intellectual, writer, educator and social activist. He was born in 1868 and lived until 1963. Chapter Five in his collection of essays titled, The Souls of Black Folk, is an essay…
Paper Doctorate
Teaching guess and check strategy to middle school mathematics students
Guess and check is a strategy that can be used with middle school math students to help them develop skills in mathematical thinking and problem-solving. As Guerrero (2010) points out, the guess and check lets students…