Who is Your Favorite Mathematician? A Web-based project for AP Calculus AB Designed by Mrs. Kamkutis Solon High School Math History Project • • • • • • Schedule Task Good Questions to Ask/Answer List of Mathematicians Examples for Works Cited List Conclusion Schedule • • • • • April 21st– Introduce Project and Begin Research April 30– Deadline for choosing mathematician May 3-5 – Research/preparation in Library or on Computer April 6 – Presentations May 7 – Presentations Back to table of contents Task • Choose a Mathematician who has had an historical impact (from the list provided or an approved alternate). • Prepare a 10-15 minute presentation that includes the following: – A biography of the mathematicians life (5 points) – A synopsis of the mathematician’s contribution to the field of mathematics (5points) – A mathematical presentation (which may be a computation, diagram, proof, etc.) which illustrates one of the mathematician’s efforts. (5points) – I WILL TAKE OFF IF YOU GO OVER YOUR TIME LIMIT! • Turn in a typewritten outline of your presentation (on the day you give it), including: – Title of presentation and your name (2 points) – The three presentation topics above with details (8 points) – Bibliographic references, including publications and websites (5 points). You must have at least 4 sources of which at least one is not web-based. Back to table of contents Good Questions to Ask/Answer • • • What factors motivated your mathematician? How did your mathematician’s life experience, beliefs and interests influence his/her work? How do the mathematical advances of your mathematician’s day differ from today’s mathematical research? (What was it like to be a mathematician then as compared to now?) Back to table of contents List of Mathematicians • • • The Greek Period o Pythagoras of Samos o Archimedes of Syracuse o Euclid of Alexandria o Aristotle o Plato o Eratosthenes of Cyrene o Thales of Miletus o Hippocrates of Chios o Zeno of Elea Dark ages to Renaissance o Fibonacci, Leonardo o Bhaskara o Copernicus, Nicolaus o Al-Khwarizmi 16th and 17th Centuries o Kepler, Johannes o Pascal, Blaise o Fermat, Pierre de o Napier, John o Descartes, Rene • • 18th Century o Newton, Isaac o Leibniz, Gottfried Wilhelm von o Chatalet, Gabrielle o Euler, Leonard o Bernoulli (Jacob or Johann or both) Early o o o o o o o o o 19th Century Agnesi, Maria Gauss, Johann Galois, Evariste Fourier, Jean Baptiste Herschel, Caroline Lagrange, Joseph-Louis Laplace, Pierre-Simon Cauchy, Augustin Poisson, Simeon • • Early 19th Century o Boole, George o Riemann, Georg o Kovalevskaya, Sofia o Lovelace, Augusta o Cantor, Georg o Somerville, Mary 20th Century o Hilbert, David o Mandelbrot, Benoit o Uhlenbeck, Karen o Heinrich, Bruce o Cartwright, Mary o Noether, Emmy o Nash, John Forbes o Shannon, Claude o Turing, Alan o Von Neumann, John Back to table of contents Back to Task page Examples for Works Cited List Basic Format for Online Source: Author, “Title” (Last Revision Date); n. pag. Online: Internet. Today’s Date as DD Month YYYY (web address) Brown, Kevin. "Constructing the Heptadecagon" (January 12, 1999); 8 pars. Online: Internet. 15 February 1999 (http://www.seanet.com/~ksbrown/kmath487.htm) Gonzalez, Humberto M. Humberto's Home Page. (1996); n. pag. Online: Internet. 23 November 1998 (http://www.geocities.com/WallStreet/1642/) Weisstein, Eric W. "Euclid's Fifth Postulate." (9 August 1998); 5 pars. Online: Internet. 11 August 1998 (http://www.astro.virginia.edu/~eww6n/math/ParallelPostulate.html) Other Types of Sources: Clapham, Christopher. The Concise Oxford Dictionary of Mathematics. New York: Oxford University Press, 1990. Dunnington, G. Waldo, Ph.D. Carl Friedrich Gauss: Titan of Science. New York: Hafner Publishing Co., 1955. Moritz, Robert Edouard, Ph. D., Ph. N. D. Memorabilia Mathematica or The Philomath's Quotation-book. New York: The MacMillan Company, 1914. Borrowed from: Cung, Nelly. "Carl Friedrich Gauss." (3 October 2001); n. pag. Online: Internet. 21 May 2003 (http://www.geocities.com/RainForest/Vines/2977/gauss/gauss.html) Back to table of contents Conclusion Through this project, you will gain a better appreciation for the mathematicians of the past and the mathematics that they have developed for your use. You will gain insight into what it means to be a mathematician by attempting to understand work that has already been done. (Imagine how difficult it would be to come up with these concepts as original work!) Through your presentation of a mathematical concept to the class, you will strengthen your understanding of that concept. Adapted from:What is Your Favorite Proof of the Pythagorean Theorem? By Crystal L. Furman Back to table of contents