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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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Paper Undergraduate
Prolegomena Kant Wrote the Prolegomena
This paper summarizes Kant's arguments in Prolegomena to Any Future Metaphysics. It first describes Kant's argument for the existence of synthetic a priori judgments such as Mathematics. It then explains how the possibility of such judgments also creates the possibility of Metaphysical judgments. Finally, it discusses Kant's view of the limits of pure reason and applies this critique to Plato's Theory of Ideas.
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Paper Undergraduate
Plato's Meno and Phaedo: philosophical dialogues
One of the most important components of Plato's dialogue known as Meno was the elucidation of the concept of the theory of recollection. This theory is so eminent within this work partly due to the fact that Socrates…
~1 min read
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Paper Doctorate
Learning: Cognitive Theory of Learning
This paper focuses on the cognitive theory of learning, and how that theory is used to help children learn. In the cognitive theory, memory and prior knowledge are seen as highly valued, and they are deemed more important than experience. Of course, there are other theories that argue against this, and state that cognitive theory is not the proper way to teach children. The paper contains an outline and annotated bibliography, as well as the actual document.
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Comparison and contrast methods: alternating versus holistic organization approaches
¶ … college majors is daunting to all but those who had a clear vision of their future career since childhood. For most students, exposure to a wide range of academic subjects kindles a desire to explore a multitude of…
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Social Science and Why Is it Important?
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Value of Money Is Perhaps the Most
¶ … value of money is perhaps the most critical concept in modern financial theory. According to Bianco & Poole (2010), "While executives and academics often disagree, they all agree that the time value of money (TVM)…
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Paper Undergraduate
Second language oral production in classroom contexts
1 Introduction This study is motivated by theoretical and pedagogical interests: to inform instructional design intended to integrate language and content and to explore how form and meaning intersect in SLA. Both interests draw on an extensive body of research that encompasses theory and practice underlying three different yet related frameworks and lines of inquiry: content-based language teaching, form-focused instruction and attention and awareness in SLA. All three of these areas are linked by a concern with the intersection of form and meaning in second language classrooms. Content-based language instruction was originally inspired as an alternative to traditional approaches to language teaching that favored form over meaning. Form-focused instruction brought language form to the foreground when meaning-focused, content-based approaches relegated the learning of language form to an incidental role. Research in attention and awareness has explored a focus on form and meaning as internal learner processes. The research questions guiding the present study were motivated by an interest in these areas.
~1 min read
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Research Paper High School
Imhotep Overview/Biography -- in Many Academic Circles,
In many academic circles, the man Imhotep (He who comes in peace) exemplifies the rich tradition of Ancient Egypt. He was an Egyptian royal, but not a ruler, who served under the Third Dynasty King Djoser as his Chancellor and then High Priest to the sun god Ra in the city of Heliopolis. His accomplishments were quite numerous; many consider him to be the first recorded expert planner in architecture, engineering, and physicians.
~1 min read
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Essay Masters
Technology and the humanities: interdisciplinary perspectives
There are a slew of Hollywood movies that directly or indirectly address the role of technology and its impact on human society and individual psychology. From 2001: A Space Odyssey to Wall-E, films about technology…
~1 min read
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