Write a research paper outlining the main ideas in geography as they relate to social science.You are asked to research and report on connections between Mathematics and a particular field or area that interests you. The key component of this paper is teaching your reader ONE specific mathematics topic. For this reason you must have ONE MATHEMATICS TEXTBOOK among your resources. Your 10-12 page paper (12 point font, double spaced, normal margins) should establish a clear thesis concerning your topic and goal for the paper. Pages must be numbered, and the paper should have a Works Cited list (single spaced) that includes the full bibliographic information for approved resources, that are substantively reported on. These resources must be a combination of journal articles and books, one of which is a mathematics textbook (NOT the text for this course). APPROVED WEBSITES MAY BE USED ONLY FOR MATHEMATICAL DEFINITIONS AND FIGURES, but do not count toward the required number of resources. All sources must be cited properly in the paper, following either MLA or APA style guidelines. The final paper must demonstrate: 1. Evidence of appropriate methods of scholarly research. You should incorporate this research with appropriate citations (include page numbers) into the body of your essay. Your works cited list should have complete bibliographic information. 2. Clear and effective exposition of your thesis, organized in well-developed paragraphs and transitions between them. 3. Evidence of your understanding the specific mathematical topic that you choose to relate to your field. I would like an outline as well, please let me know if it is possible: Section I. REQUIREMENTS FOR THE OUTLINE Read the professor’s comments on your proposed resources. Obtain approved resources for the final paper. You must have ONE mathematics textbook (NOT the course text) among the resources. But take only one, so that other students have options. Also there are books on reserve for this course. They are listed in the Course Information at the beginning of the course site. You must construct your detailed outline using approved resources (books and articles) that you have obtained on-line or in the library. DO NOT INCLUDE ANY RESOURCE YOU HAVE NOT OBTAINED. Review the resources to construct the outline. In other words, be sure that the topics you plan to discuss are fully explained in the resources you list where the discussion occurs. Section II. REQUIRED FORMAT FOR THE OUTLINE (Sample to follow) Follow this format for constructing the outline for your final paper: 1. Mathematical topic: For example – Calculating Odds in Probability 2. Connection: For example – Games and Hobbies – Auto Racing 3. Outline for the Paper: I. Description of the Introduction: A. Motivate the discussion: For example, you might say: In every sport there is a battle for the championship. Everyone wonders what are the odds for picking a winner? ETC. B. Lay out the plan for the paper: In this paper I will first teach (name mathematical topic here)….and then… Resources List HERE the resources (books and articles) with full bibliographic details that you plan to use for this section. See Works Cite List below for proper citation format. For example for this section you would list the following from the Works Cited list: Fletcher, M. How Bookmakers Create Their Odds. Teaching Mathematics and Its Applications, v18 n1 p12-14 Mar 1999. (EJ588633) Haigh, John. Taking Chances: Winning with Probability. Oxford University Press, New York 2003. (QA273.15 .H35 2003) II. Description of the Body of the Paper: A. A definition of probability, some comments on its history, and relevant definitions of terms used for the paper (odds, etc.) B. The basic “rules” of probability and how to calculate odds using these rules. C. Calculating an individual team’s probability of winning a championship and how multiple car teams affect the odds. D. Lesson from the literature on using car racing to teach a specific topic in probability (such as binomial probabilities). Resources List HERE resources (books and articles) with full bibliographic details that you plan to use for this section. See Works Cite List below for proper citation format. For example, you would list the following here from the Works Cited list (putting them in relevant categories A, B, C, D) for the above: Halmos, P. R. The Foundations of Probability The American Mathematical Monthly > Vol. 51, No. 9 (Nov., 1944), pp. 493-510. Section A. Lightner, James E. A Brief Look at the History of Probability and Statistics. Mathematics Teacher, v84 n8 p623-30 Nov 1991. Section A. Tannenbaum, Peter. Excursions in modern mathematics. New Jersey: Prentice Hall. 2004. MATHEMATICS TEXTBOOK. Sections A, B, C. Haws, LaDawn. Plinko, Probability, and Pascal. Mathematics Teacher, v88 n4 p282-85 Apr 1995. Section D. Killian, C. Rodney; Kepner, Henry S. Pascal’s Triangle and the Binomial Probability Distribution Mathematics Teacher, 69, 7, 561-563, Nov 76. Section D. III. Conclusion You won’t be able to predict your conclusion until after you do the research. So just list this category here. IV. Works Cited List. List all articles and books in alphabetical order according to authors’ last names. SINGLE SPACE. You MUST have ONE mathematics textbook among your references. Halmos, P. R. The Foundations of Probability The American Mathematical Monthly > Vol. 51, No. 9 (Nov., 1944), pp. 493-510 Ericksen, Donna Bird; And Others WITPO (What Is the Probability Of). Mathematics Teacher, v84 n4 p258-64 Apr 1991. (EJ429192) Fletcher, M. How Bookmakers Create Their Odds. Teaching Mathematics and Its Applications, v18 n1 p12-14 Mar 1999. (EJ588633) Horadam, A. F. The Gambling Genius. Australian Mathematics Teacher 32, 5/6, 191-202, Oct/Dec 76 Haigh, John. Taking Chances: Winning with Probability. Oxford University Press, New York 2003. (QA273.15 .H35 2003) Haws, LaDawn. Plinko, Probability, and Pascal. Mathematics Teacher, v88 n4 p282-85 Apr 1995. (EJ507366) Killian, C. Rodney; Kepner, Henry S. Pascal’s Triangle and the Binomial Probability Distribution Mathematics Teacher, 69, 7, 561-563, Nov 76. (EJ150609) Lightner, James E. A Brief Look at the History of Probability and Statistics. Mathematics Teacher, v84 n8 p623-30 Nov 1991. (EJ436641) Tannenbaum, Peter. Excursions in modern mathematics. New Jersey: Prentice Hall. 2004.
