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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
History of communication
(with special reference to the development of the motorcycle)
Paper Doctorate
Tajikistan's history from ancient Persia through the Samanid era
This paper is about the History and Overview of Tajikistan, from its early days as part of the Achaemenid Persian Empire to being ruled by the Greeks, Arabs, Samanids, Mongols and finally the Russians/Soviets until they won their independence 1991. This paper is about the History and Overview of Tajikistan, from its early days as part of the Achaemenid Persian Empire to being ruled by the Greeks, Arabs, Samanids, Mongols and finally the Russians/Soviets until they won their independence 1991.
Paper Undergraduate
Vose, D. (2008). Risk Analysis: A Quantitative
This paper is an annotated bibliography including some of the following articles: 1. Beynon-Davies, P. (2009a). The language of informatics: The nature of information systems. International Journal of Information Management. 29 (2), 92-103. Retrieved from http://www.sciencedirect.com 2. Capelli, D., Moore, A. & Trzeciak, R. (2012). The CERT Guide to Insider Threats. Upper Saddle River, New Jersey: Pearson Education, Inc. 3. Durkee, D. (2010). Why cloud computing will never be free. Communications of the ACM 53(5): 62-9. 4. Glesne, C. (2006). Becoming qualitative researchers: An introduction (3rd ed.). Boston, MA: Pearson Education, Inc. 5. Gold, J. (2012). Protection in the cloud. Internet Law 15(12): 23-8. 6. Hubbard, D. (2009). The failure of risk management: Why it's broken and how to fix it. United States, New Jersey: John Wiley & Sons. 7. Klenke, K. (2008). Qualitative Research in the Study of Leadership. Bingley, UK: Emerald Group Publishing Limited. 8. McDavid, J.C., & Hawthorn, L.R.L. (2006). Program evaluation & performance measurement: An introduction to practice. Thousand Oaks, CA: Sage Publication, Inc. 9. Onyegbula, F., Dawson, M., & Stevens, J. (2011). Understanding the need and importance of the cloud computing environment within the National Institute of Food and Agriculture, an agency of the United States Department of Agriculture. Journal of Information Systems Technology & Planning, 4(8), 17-42. 10. Perera, I. (2010). Are free cloud services productive? A performance study on end user computing. Journal of Applied Computer Science & Mathematics, 8(1), p34-40. 11. Proctor, P. (2004). Sarbanes-Oxley security and risk controls: when is enough? Infusion: Security & Risk Strategies, META Group. 12. Qaisar, S. & Khawaja, K. (2012). Cloud Computing: Network/security threats and countermeasures. Interdisciplinary Journal of Contemporary Research in Business 3(9): 1323-9. 13. Reddy, V. & Reddy, L. (2011). Security architecture of cloud computing. International Journal of Engineering Science and Technology 3(9): 7149-55. 14. Sambandaraska, D. (2012). Thai CIOs deal with floods, cloud and big data. Enterprise Innovation (Dec. 2011/Jan. 2012): 40-1.
Research Paper Doctorate
Job opportunities and changing roles for secondary school teachers
What is the future like for those who want to become secondary teachers in the coming decades? Quite positive. The baby-boomers are moving into their senior years and the country is becoming more and more gray, yet the…
Research Paper Doctorate
Isaac Newton's discoveries in optics, mathematics, and mechanics
Isaac Newton was the greatest and the most influential scientist of all times. Born in Woolsthrope, England on a Christmas day in 1642 Newton was a bright child with an incredible mechanical aptitude.
Research Paper Doctorate
Ancient philosophers' views on reason, virtue, and governance
¶ … reason, God and religion with reference to ancient philosophers. These philosophers gave us some interesting views on the subject of God, which may prove helpful in understanding the nature of good in a world where…
Paper Undergraduate
Psychological healing and human connection in Good Will Hunting
This paper identifies, analyzes and discusses the ethical issue(s) in the film Good Will Hunting and using the ACA code of ethics, addresses which ethical code(s) are being violated and how. Also this paper labels and cites each ethical violation with the ethical code and where in the ACA Code of Ethics it can be found.
Paper High School
Career paths for mathematics majors beyond traditional mathematics
¶ … decision to become a math major should not be taken lightly. Recent graduates are generally required to have a master's degree and the job market for mathematicians is competitive ("Mathematician: Summary" 2012).
Paper Doctorate
Why elementary students should learn geometry alongside math facts
This letter is in response to your question: Why are students in elementary school learning geometry when they do not yet know the basic facts and should be spending their time working on them instead?
Essay Doctorate
Solving inverse functions using substitution and algebraic manipulation
Problem "a" is an example of substitution equations. In this case, it is asking the two equations to be subtracted and the number four substituted for "x." In order for this operation to be properly accomplished, order…