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Mathematics
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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

Who Invented Pascal\'s Triangle?

¶ … Pascal's Triangle [...] who really invented Pascal's Triangle. While the mathematical formula known as "Pascal's Triangle" has long been attributed to its' namesake, Blaise Pascal, this is not really the case.

Research Paper Doctorate

Primary education: structure, outcomes, and policy approaches

Managing the Transition of Starting Primary School in England - Policies and Practices

Research Paper Doctorate

Servant and Situational Leadership

Leadership theory is a complex and engaging field. Indeed, people have been studying the concept of leadership and organization for many years now. The purpose is to understand two factors.

Radiologic technology: principles and applications

To be part of something that I can give my absolute one hundred percent to, along with having the perpetual opportunity to challenge myself to learn and grow, is a dream that any driven person intricately decorates…

Paper Undergraduate

Differentiated instruction in student learning environments

¶ … differentiated instruction necessary in the math class?

Children\'s Museum: Critical Analysis of the Exhibit.

For many young children, family visits to local science museums or zoos are commonplace events in their lives. The increasing popularity of science museums as sites of choice for family recreation and learning is…

Pay for Performance Programs for Teachers: Pros and Cons

Pay for performance is becoming commonplace in the business world. Pay raises and bonuses are often based on how well one performs on the job or on achieving specific results. However, this is not the case in education.

Essay Doctorate

Can Bayesians Give an Adequate Explanation of Confirmation of Scientific Theories

This research paper is meant to take a concentrated look at Bayes theorem and determine if it can accurately be used to determine the efficacy of another theory. The basic findings are that yes it can and no it cannot. The differnce between the tow is what type of scientific evidence is being measured. Since Bayes theory needs solid data, it is better used with the physical sciences and not the behavioral sciences.

Paper Undergraduate

Organizational Health Educational Institutions Generally Approach Organizational

Conventional wisdom and crowd-sourcing have led to a uniform approach to educational preparation that strongly emphasizes the STEM-based skillsets. The pressure to yield ever higher performance scores in engineering, mathematics, science, and technology regardless of students' intentions for college majors and courses of study has led to a growing body of discouraged students. The talents of these students may lie in areas outside of STEM majors. In much the same way that Marcus Buckingham-in his research on managerial effectiveness for the Gallup organization—argues that managers must develop workers' strengths rather than focusing on the weaknesses, the American educational system must establish performance standards that mesh with the diversity of talents and interests of students who are attending or hope to attend institutions of higher education. The first step in this direction is to ensure that robust workplace-based instruction is available to students through collaborative arrangements with employers and apprenticeship programs. The efficiency of this process—which borrows from inventory control just-in-time principles—will help to ensure that training is current and reflects true employment skill demands.

Paper Undergraduate

Asperger Syndrome: Symptoms, Causes and Effects Symptoms

Hang Asperger, a pediatrician, researched on Asperger syndrome but Lorna Wing, a psychiatrist and physician, was the one who familiarized the world with Asperger syndrome (Lyons, Fitzgerald, & Fitzgerald, 2005). In 1994, Asperger researched on four children who were unable to interact socially due to their lack of nonverbal communication skills. He called this condition "Autistic psychopathy". But in 1981, Dr. Wing published some case studies of children with similar symptoms. She was the one who called it "Asperger's syndrome". The term was added to world Health Organization's diagnostic manual in 1992, although it was equated with highly functioning autism (National Institute of Neurological Disorder and Stroke, 2012).

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