Research Paper

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  • Research Topics

We will have two papers and a presentation in the course. For these you will research an interesting involving puzzles and games that interests you. You will discuss the key ideas, history, contributions of key people, strategies, variations, etc.

 

Possible topics for the first paper are

  • Chess Problems

  • Flexagons

  • Polyominoes

  • Pentominos

  • Conway's Game of Life

  • Co-operative Game Theory

  • Rubik's Cube - Taken

  • Soma Cube

  • Tesselations/Tilings

  • Card games

  • Card Shuffling

  • Strategies in Monopoly, Backgammon, Go, etc.

  • Nim-like Games

  • Variations on the 15 Puzzle

  • Magic Squares

  • Latin Squares

  • Sudoku - Taken

  • The Game of Hex

  • Hamilton’s Icosian Game

  • Biography of Famous Person - Dudeney, Loyd, Dodgson, Gardner.

  • Other Mathematical Puzzles - Fibonacci numbers, logic puzzles, Binary Gray Code and Ring Puzzle, number puzzles, etc.

  • Other Sites

     

    Some of these topics can be used for the group projects.

Paper 1 - Due October 25

Instructions:

  1. This is an individual effort.

  2. All work is to be typed in 10 or 12 pt format and double spaced.

  3. Your work should be titled in an appropriate way.

  4. All pages should be stapled and NOT folded and on standard sized paper.

  5. You are expected to write using good grammar and spelling. Your thoughts should be presented in full sentences and you are to group your thoughts into paragraphs.

  6. Your facts should be correct and you should reference all work that is not your own. You should use more than one source and at least one text and journal source from the library. Do not simply cut and paste from the Internet!

  7. Figures should not be too big, should be labeled (Fig. 1, etc) and have captions, and should flow with the text.

  8. You should reference work that is not your own, use standard bibliographic style and citation.

  9. This is a short paper but at least 5 pages long.

Paper 2 - Group Work Leading to Presentation.

  • Deadlines

    • Report Group - October 20

    • Choose topic - October 27

    • Draft paper - Nov 15

    • Final Paper - Dec 1
       

  • Topic Proposal - October 27

Please give to me a typed proposal for the topic your group plans to cover. Not only a topic name, but a discussion of what you plan to do with the topic, resources you plan to use, etc. It is not sufficient to use Wikipedia or some  blogs. Go to the library, check out other sources, especially reviewed papers.

  • Content

You will be expected to submit a sufficient amount of content and connection to the course material to warrant a decent grade for this portion of the course. You need to demonstrate that you spent some time researching the topic, its history, and digesting your topic. It should not be a regurgitation of Wikipedia or other Internet sites. References should also include books and articles from journals.

  • Draft paper - This should be more than half (10-12 pgs) of the proposed paper with an abstract, introduction to topic, some historical background, a main body, and references. It should include properly formatted figures and equations (if included).

  • Final paper - The final paper should be on the order of 20 pages, with proper  formatting and references. All figures should be numbered, have descriptive captions, and be referenced in the paper and not just inserted to produce volume. Attention should be give to any suggestions made in the corrections of the draft paper.

  • Presentations - Dec 13th

More to be posted on this later.

  • Report Format - Nov 15 and Dec 1

All work should be typed with double-spacing and 12 pt font. You will be expected to use correct English grammar and punctuation. This is a report and thus you will use proper sentence and paragraph formatting. Your work should also be supported with properly labeled and embedded plots and equations. References should include articles and books with little use of Wikipedia. Any references used should be cited in the body of the paper as well. This paper will count towards the project component of your grade.

Note, you will be graded on the how well you have followed directions as well as evidence of work, topic detail and understanding, proper exposition and neatness, and effort as noted by appropriate length and depth presented.

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E-Mail: Dr. Russell Herman Last Updated: November 22, 2022