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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

Constructivist Instructional Technology in Modern Education

During the twentieth century, public education evolved from the proverbial one-room schoolhouse to a modern educational system based on twelve years of progressive structured levels of instructional lessons.

Essay Doctorate

Outsourcing Shipping Management: Key Selection Criteria

Outsourcing is a process by which an organization takes the services of an external party to perform some of its operations or functions. Outsourcing is also done by shipping firms all over the Globe (Outsource Freight, 2012). Ship owners generally outsource their operations and management functions to the external parties against for a particular period of time and against a specific sum of money (Lorange, 2009). Outsourcing of the shipping management enables the ship owners to focus on their core competencies and hand over the strategic decision making and policies to the outsourcing parties (AB Crewing, 2012).

Paper Undergraduate

California High School Exit Examination (CAHSEE) Overview

The assessment tool I have chosen is the California High School Exit Examination (CAHSEE). All California High School seniors, other than those with disabilities, must past this exit exam in order to receive a high…

Paper Undergraduate

Hope and Patience in Dumas' The Count of Monte Cristo

There is a distinction which may be useful to describe the protagonist of any important literary work that makes as its focus the human experience. If not a hero, the protagonist is an individual whose profound effect…

Paper Undergraduate

Teaching Students with Learning Disabilities: Theories and Approaches

In this paper, we explore the concept of teaching student with learning disabilities. The concept of learning disabilities is defined and then the constructivist and behaviorist approaches to tackling the problem are presented. This is followed with a conclusion on how to best improve the quality of education for children with learning disabilities.

Paper Undergraduate

Communicating 2nd Grade Math Standards in Plain Language

Grade-Appropriate Restatement of New York State 2nd Grade Math Standards

Essay Doctorate

Place Value and Base Ten: Teaching Number Sense to Children

The purpose of this paper is to give an insight into the place-value notation system and its benefits. The paper will shed light on the Base ten number system and on common misconceptions, which young children might develop when trying to learn about the use of numbers.The purpose of this paper is to give an insight into the place-value notation system and its benefits. The paper will shed light on the Base ten number system and on common misconceptions, which young children might develop when trying to learn about the use of numbers.

Research Paper Undergraduate

Derivatives Explained: Slope, Change, and Calculus Basics

Derivative" is a mathematical answer to the question, "how quickly does it change?" For instance, if one noted that the national debt was changing rather quickly, one could also say that the national debt had a high…

Paper Undergraduate

Architectural Principles of the Medieval Period Explained

There is a very close connection that can be seen between the architectural efforts and achievements of medieval cultures and the cultural visions and experiences that these architectural constructions were intended to…

Hume's Empiricism: Experience, Causation, and the Limits of Knowledge

In morals, politics, religion and science, Hume was a conservative empiricist who emphatically rejected all theories he thought of as metaphysical or not based on actual experience and sense perceptions. He did not regard religious and metaphysical theories as scientific, but more like idle speculation, superstition and prejudice. No ultimate original principles existed outside of the mind and perceptions, and this certainly included the concept of cause and effect, which he insisted was derived from the senses and later processed through the mind in the form of simple and complex ideas. Nothing could be known about human nature or any other subject outside of an exact, empirical science, while innate and a priori ideas did not exist. Even his theories of mathematics, logic and the color spectrum were all based on empiricism, and the ability of the mind to reflect, compile and make connections based on repeated sense experiences. In short, he had no use for all the complex system building of the Continental European philosophers, although his rigid empiricism risked carrying him over to the opposite extreme and reaching peculiar conclusions, such as doubts about whether physical or mathematical laws were actually operating independent of the observer.

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