**Information and Resources for the Final Project **

Read these articles about giving a good (math) talk: Article 1, Article 2, Article 3, Article 4. Visit this web page, and this blog.

**Purpose and Skills:** The purpose of the final project
is to help disseminate accurate information on the subject to a general
audience. We will do this in two distinct ways: a public presentation to a
live audience, and a math lesson for teachers and students of mathematics.
In the process you will develop a number of valuable skills such as
working in a team, engaging with a community much different from the
campus community, public speaking, communication in multiple modes,
technical skills in creating digital storytelling materials, giving and
receiving feedback and revising your work based on feedback.

The final project has 2 components: (1) a public presentation, and (2) math lesson that can be used in a middle school or high school class. The presentation will be given live at the end of the semester (Friday, May 3 in the evening). You will be working in groups of size 2 or 3 on each component of the final project. The presentation should be accessible to a general audience. The topic for the math lesson can be any topic in arithmetic, algebra, geometry, or trigonometry that we did or did not cover in class. This component must involve a lesson plan and activities along with some animations. The primary purpose of this component is to produce materials that will be useful for teachers and students. In doing so, you will solidify your understanding of the subject while being useful to others. A sample of such animations can be found at this link.

For the presentation component, choose a topic in history of mathematics or science in the Islamic World. It can be a topic that we did not discuss in class, or it can be an extension of a topic that we did discuss. For the mode of presentation, you have 3 options: a talk (power point/google slides presentation), a digital storytelling video, or a poster. If you choose the story telling option, please check out some resources here. You can see previous digital storytelling projects by Kenyon students here, and the products of a summer project here. It is never too early to start thinking about the final project topic and your partners for it. It would be great if at least one group makes the presentation specifically appealing to younger audience (middle school and high school).

**Important Note**: Please
do not choose a topic without looking at resources first. Therefore, get
the books (order them from Ohio link if necessary) well in advance of
the first deadline.

Timeline and Deadlines for the Project

Proposal: Let me know, in writing,
what topic you choose by midnight, ** Sun, March 24 **
(beginning of week 9). You should submit, in writing, your choice of the
topic, the group members, what you plan to cover in the presentation, the
format of the public presentation (which of the 3 options), and an
annotated bibliography. If you choose a topic that we covered (or will
cover) in class, make sure you go above and beyond what we did in class
and explain how. You need to come up with a good title for your
presentation as well. It will be announced publicly, so it is important to
have a good title. 1-2 pages + bibliography would be sufficient for the
proposal (one proposal per group). It is very important that your
presentation is based on research, primary source evidence and
documentation. Strive for being as accurate as possible and avoid
exaggerations and unfounded claims. The source of your information and
your claims must be as rigorous as writing an academic research
paper.

First Draft: Next, you submit a
draft of your presentation by midnight **Sun, April 7 **(beginning
of week 11). The purpose of the draft is to help you specify and clarify
what you will cover and how you will cover it and to help you make
progress towards the final product. If your presentation is a digital
storytelling, then you submit your narrative at this time. If it is
a talk or a poster, it should include an outline of the sections to be
covered. Submit the draft of your presentation. If you are doing a poster,
submit your draft as a slide (ppt, google slides or similar software).
Everyone must submit an updated bibliography as well. The more you include
at this stage, the better. You may modify the original title of your
project as well. Remember, it is important to come up with a good
title for your project since it will be used in advertising the event. We
will make a flyer after everyone submits their outline. If you are
interested in making a flyer, let me know. If you design a good flyer you
will earn extra points. Submit
your outline to Moodle, one per group.

Complete Draft and Topic for the Math
Lesson: This should be a complete draft of your presentation that
includes all major parts and most details. The deadline is midnight **Wed,
Apr 24** (week 13). If your presentation is a digital
storytelling, then you must submit a complete draft of your video as well.
It is also required that you receive feedback from CIP prior to submission
of your complete draft. You need to document that you received feedback
from CIP. Also due at this time is the topic for your math lesson. Specify
the topic, the level of the course it is intended for, and sources
you will use.

Rehearsal Presentations: You will present your project to the class (talks should be about 15 minutes, digital stories 3-5 minutes, and posters will be hung around and presenters will interact with the class) to receive feedback from your peers and the professor before the main public event virtually hosted by NICC in the evening of Friday May 3. All groups must be prepared to present on Friday April 26 in class. By noon on May 3, you must submit the final version of your presentation. This will be the final submission of part 1 of your final project.

Part 2 of the Project: The complete
math lesson is due at the official final exam date for this course
which is **11:30 am, Tuesday May 7**. The complete
submission includes a lesson plan with activities along with an animation
which can be a video, slides or a similar media.

**Here are some possible topics to give you an idea
and get you started but this is not an exhaustive list. You may choose
another topic with the approval of the instructor. **

- Check out the links given on the main course web page including the documentaries.
- Lives and works of Islamic mathematicians that are available in
*Complete Dictionary of Scientific Biography*(available as an electronic source through Kenyon). Take a look at this page and this too. - These articles have many pointers and sources: Forgotten Brilliance, Math in Muslim Heritage, Contributions of Muslims to Math
- Female Scholars in Islam. Article
1, Article2
Book

- Many possible ideas and sources at this page, and more generally here.
- Many suitable topics in the book "The development of Arabic mathematics: between arithmetic and algebra", Roshdi Rashed (translated by A. F. W. Armstrong), Kluwer, 1994. (available at course reserve)
- Combinatorics in Islamic Mathematics. Look at the relevant chapters in
- Chapter 7 of Berggren
- The Mathematics of Egypt, Mesopotamia, China, India and Islam, A Sourcebook, Victor J. Katz editor, Princeton U Press, 2007
- A History of Mathematics: An Introduction, 2nd ed, Victor J. Katz, Addison-Wesley 1998
- The development of Arabic mathematics: between arithmetic and algebra, Roshdi Rashed (translated by A. F. W. Armstrong), Kluwer, 1994

- Algebra and Linguistics: Combinatorial Analysis in Arabic Science, in "The development of Arabic mathematics: between arithmetic and algebra"
- Number Theory in Islamic Mathematics. Chapter 7 of Berggren and "The development of Arabic mathematics: between arithmetic and algebra"
- Mathematics in Islamic Art and Architecture. You can start by reading these 3 articles: Article1 Article 2 Article 3. Also look at this page and see the books below.
- Islamic Geometric Patterns (notice that there are several books listed at the bottom of the page)
- Geometry Needed by Craftsmen
- Geometry of Artisans,The Mathematics of Egypt, Mesopotamia, China, India and Islam, A Sourcebook, Victor J. Katz editor, Princeton U Press, 2007
- Algebra in the Islamic World: Beginning and Developments (see the books below)
- Ideas of Calculus in Islam and India. Look at these two articles: Paper1, Paper2
- Cryptanalysis of al-Kindi. A starting point is here.
- Alhazen's Problem. Can start by looking at these two articles: Article1, Article 2. Berggren's 2nd ed contains a section on Alhazen's problem (section 3.7)
- Ibn al-Haytham and Wilson's Theorem, in "the development of Arabic mathematics: between arithmetic and algebra", Roshdi Rashed (translated by A. F. W. Armstrong), Kluwer, 1994
- Ibn al-Haytham and Perfect Numbers, in "the development of Arabic mathematics: between arithmetic and algebra", Roshdi Rashed (translated by A. F. W. Armstrong), Kluwer, 1994
- Ibn al-Haytam's treatise on the volume of a sphere.
- Ibn al-Haytham and Ideas of Calculus in his measurement of a paraboloid. Check out this paper, and the two books: The Mathematics of Egypt, Mesopotamia, China, India and Islam, A Sourcebook, Victor J. Katz editor, Princeton U Press, 2007; Calculus and Its Origins, by D. Perkins, MAA, 2012.
- Construction of a Perfect Compass and other geometrical instruments, The Mathematics of Egypt, Mesopotamia, China, India and Islam, A Sourcebook, Victor J. Katz editor, Princeton U Press, 2007
- Numerical Equations, in "the development of Arabic mathematics: between arithmetic and algebra"
- Numerical Analysis and extraction of nth roots, our tetxbook and "the development of Arabic mathematics: between arithmetic and algebra"
- Thabit b. Qurra (his life and contributions to mathematics), A History of algebra : from al-Khwarizmi to Emmy Noether, B.L. van der Waerden
- Spherical Geometry and Trigonometry in Islam (Chapter 6 in our textbook)
- V. Robert's paper on connections between Copernicus and Ibn al-Shatir.
- Astronomy and Astrology in the Medieval Islamic World.
- Observatory in Islam.
- Muslim daily prayers and mathematics required to determine them, In synchrony with the heavens : studies in astronomical timekeeping and instrumentation in medieval Islamic civilization, by David A. King, 2004.
- The role of religion in the development of mathematical sciences in the Islamic Civilization.
- Islamic Engineering, Mechanics and Technology. See the book "Islamic Science and Engineering" and the encylopedia under the folder "Resources" in the P drive.
- Other possible topics from the Encyclopedia of Science and Technology in Islam, available in the P drive.
- Look at the Exercises and Bibliography at the end of each chapter of the textbook to get more ideas for possible project topics.

**Some Useful Books and Other Sources for the Project** (can
get ideas for possible projects from these sources too)

- Complete Dictionary of Scientific Biography (available as an electronic source through Kenyon),: Charles Scribner's Sons, 2008. 27 vols (searching for names can be tricky!)
- An online Bibliography of the Mathematical Sciences in Medieval Islamic World by Jeffrey Oaks.
- The Mathematics of Egypt, Mesopotamia, China, India and Islam, A Sourcebook, Victor J. Katz editor, Princeton U Press, 2007 (in course reserve)
- The development of arabic mathematics: between arithmetic and algebra, R. Rashed, Kluwer 1994
- A History of Mathematics: An Introduction, 2nd ed, Victor J. Katz, Addison-Wesley 1998
- A History of algebra : from al-Khwarizmi to Emmy Noether, B.L. van der Waerden
- Introduction to the history of science, George Sarton, 1975
- Arabic Mathematical Sciences, R. Lorch, Variorum 1995
- An Episodic History of Mathematics, Steven G. Krants, MAA publication 2010
- Calculus and Its Origins, by D. Perkins, MAA publication, 2012.
- 1001 Inventions: Muslim Heritage in Our World, Salim T S Al-Hassani, 2nd ed, 2007, Foundation for Science Technology and Civilisation (UK)
- Studies in the Islamic Exact Sciences, E.S. Kennedy, colleagues, and former students, American University of Beirut, 1983
- In synchrony with the heavens : studies in astronomical timekeeping and instrumentation in medieval Islamic civilization, by David A. King,Leiden ; Boston : Brill, 2004.
- Astronomy and Astrology in the Medieval Islamic World, by E. S. Kennedy, Variorum, 1998 (available at Kenyon library)
- The Observatory in Islam and its Place in the General History of Observatory, by A. Sayili, Turkish Historical Society, 1960.
- A critical edition of Ibn al-Haytham's On the shape of the eclipse : the first experimental study of the camera obscura, by D. Raynaud, Springer, 2016.
- Ibn al-haytham and analytical mathematics, by R. Rashed,
**(**trans. by S. Glynn and R. Wareham), Routledge, Taylor & Francis Group, 2013. - Islamic Science and Engineering, by Donald R. Hill, Edinburgh U. Press, 1993.
- Encyclopedia of Science and Technology in Islam, pdf available in the P drive.
- Al-Khwarizmi : the beginnings of algebra, edited, with translation and commentary, by Roshdi Rashed, SAQI, 2009.
- The Algebra of Mohammed ben Musa (transl. by F. Rosen), London: 1831. Another edition Honolulu, HI : University Press of the Pacific, 2003
- The Algebra of Abu Kamil: Kitab fi al-Jabr wa'l-muqabala, University of Wisconsin Press, 1966. Also check out this article.
- The Algebra of Omar Khayyam, by Daoud S. Kasir, Teachers College Columbia University, 1931
- Algebra wa Al-Muqabala of Omar Khayyam, translated by Roshdi Khalil, Garnet Publishing, 2008.
- Pathfinders: The Golden Age of Arabic Science, J. Al-Khalili, Allen Lane, 2010
- Arabic mathematical sciences : instruments, texts, transmission, R. Lorch, Variorum, 1996
- Science in medieval Islam : an illustrated introduction, Howard R. Turner, U of Texas Press, 1999.
- Islamic Geometric Patterns, E. Broug, Thames& Hudson, 2008.
- Islamic Geometric Design, E. Broug, Thames& Hudson, 2013.
- Islamic art and geometric design [kit]; activities for learning, the Metropolitan Museum of Art,New York, N.Y. : Metropolitan Museum of Art, c2004
- Islamic design : a genius for geometry, D. Sutton, Walker & Co, 2007
- Islamic art and architecture : the
system of geometric design, Issam El-Said
**,**Reading, UK, 1993. - al-Biruni-Instruction in the Elements of the Art of Astrology
- A collection of resources related to Al-Kashi.
- The Muslim Heritage web site
- A History of Islamic Science
- Bibliography of Mathematics in Medieval Islamic Civilization
- Bibliography by Topic of the Mathematical Sciences in Medieval Islamic World
- Mathematics in Medieval Islam
- Islamic Metalwork, History of Science Museum, UK
- A Digital Library
- Using Snap to draw patterns of Islamic architecture.
- History of Mathematics Project
- MAA Mathematical Treasures

More resources on Islamic art here.