1 / 21

Myth emati CS

Myth emati CS. Christos H. Papadimitriou UC Berkeley : christos. mythematics noun, plural but plural&singular in use, nlgsm/slpn

vivi
Download Presentation

Myth emati CS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Myth ematiCS Christos H. Papadimitriou UC Berkeley : christos

  2. mythematics noun, plural but plural&singular in use, nlgsm/slpn from Gr myth (= story that serves to unfold a world view or explain a practice, belief, or natural phenomenon) more correct form: mytheumatics 1 a : the use of story-telling in the teaching of computer science and mathematics ITICSE, July 2,2003

  3. plan “there is no idea worth explaining that cannot be explained by a good story” Anonymous • narrative as epistemic modality • why MythematiCS? • three modes (historical/biographical context, illustration, embedding) • programming vs. story-telling • a story ITICSE, July 2,2003

  4. narrative knowledge • Narrative Psychology (J. S. Bruner, introductory book by M. L. Crossley) “a viewpoint within Psychology interested in how humans understand their world and their experience by constructing stories and assimilating stories by others” • Bruner: Two modes of thinking: Paradigmatic (logico-deductive, classificatory) vs.Narrative (storied) ITICSE, July 2,2003

  5. narrative knowledge (cont.) • Narrative richness considered a precondition for the self (and vice-versa) • Stories are interesting • For 99% of the course of humanity stories appear to have been the principal mode of social knowledge and education • The neurology of narrative: episodic memory and the hippocampus ITICSE, July 2,2003

  6. why MythematiCS? • Incredibly, many people do not find CS interesting. • Math: much-much more so ( Doxiadis embedding) • Even if we thought that there are enough people who find CS fascinating, it is important to expand/diversify our span. ITICSE, July 2,2003

  7. why MythematiCS? (cont.) • Story-telling is alive and well precisely in places and cultures that are in dire need of CS and math education • Multimodality and variety is desirable in education ITICSE, July 2,2003

  8. the three modes • Historical/biographical context is probably already used in math and CS education (e.g., Archimedes, Galois, Ada, Turing) • Artefact stories, too: Eniac, OS360, programming languages, crypto, grep, internet,open source ( steve weber source) • Stories of authorship, rivalry and scooping ITICSE, July 2,2003

  9. narrative illustration • E.g., exponential growth, depth-first search • Incompleteness: A play and a theorem (later) • Natural (hi)story: Dijkstra’s algorithm as wave propagation in a wire model • Low-intensity narrative illustration: word problems, evocative terminology (e.g., traveling salesman problem, taxicab rip-off problem, two-phase locking) ITICSE, July 2,2003

  10. extreme narrative mode: embedding in a story ITICSE, July 2,2003

  11. math is inevitable, hard, fun, and sexy ITICSE, July 2,2003

  12. how to prove it? and whodunnit? only the parrot knows… ITICSE, July 2,2003

  13. beautiful loser mathematician ITICSE, July 2,2003

  14. Turing’s Net ghost teaches CS to star-crossed lovers ITICSE, July 2,2003

  15. Εκδόσεις Λιβάνη Ιούλιος 2003 ITICSE, July 2,2003

  16. Salgarism Embedding story writing is a constant struggle with it… ITICSE, July 2,2003

  17. story-telling and programming:a comparison • Stories too must compile and run (“work”, get published, be read) • Stories can have bugs • And the construction problems they present are maddeningly combinatorial ITICSE, July 2,2003

  18. “I’m gonna tell you a story”( LOGICOMIX ) B. Russell D. Hilbert L. Wittgenstein G. Cantor G. Frege eniac K. Gödel & friend A. M. Turing E. Post J. Von Neumann ITICSE, July 2,2003

  19. Madness in their method?(a re-telling) B. Russell D. Hilbert L. Wittgenstein G. Cantor G. Frege K. Gödel & friend A. M. Turing E. Post ITICSE, July 2,2003

  20. play by Doxiadis illustrates Gödel’s theorem ITICSE, July 2,2003

  21. thank you! ITICSE, July 2,2003

More Related