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Visual Rhetoric of The Manga Guide to Calculus By Hiroyuki Kojima and Shin Togami, Becom Co., LTD. Roxanne Johnson WRIT 5671 8 May, 2010 (Kojima, Togami & Becom Co. Ltd., 2009)
I’m a cartoon illustration  used for math education! (Enzensberger, Hans Magnus & Berner, Rotraut Susanne, 1998, p. 177).
This is an example of using comics to explain math! (Gonick, Larry & Smith, Woollcott. 1993, p. 30)
Definition of Comics:  Juxtaposed pictorial and other images in deliberate sequence, intended to convey information and/or produce an aesthetic response in the viewer “manga is visual data presented as animation.  Calculus is a branch of mathematics that describes dynamic phenomena- thus, calculus is a perfect concept to teach with manga.” (Kojima, Togami & Becom Co. Ltd., 2009)  (McCloud, 1993)
http://usacac.army.mil/CAC2/bcks/Connected/images/brain.jpg http://www.jiscdigitalmedia.ac.uk/images/flickr-words.jpg Affordance 1: words and images can be combined to create a multimodal text
“…visual language creates rhetorical energy by cultivating and meeting reader’s expectations” http://farm4.static.flickr.com/3477/3261421446_2eceef84bf.jpg “proficient manga readers are adept at negotiating multimodality, ‘using image plus language in increasingly complex ways’” Affordance 2: conceptual information becomes accessible through pre-established reader expectations (Schwartz, Rubenstein-Avila, 2006) (Kostelnick, 2004)
Affordance 3: gutters invite closure between panels (McCloud, 1993)
TRANSITIONS (McCloud, 1993)
Example: eight pages with 24 transitions from the Manga Guide chapter 1: let’s differentiate a function! Approximating functions and calculating the relative error Subject to subject Action to action (Kojima, Togami & Becom Co. Ltd., 2009, p. 23)
Scene to scene Action to action Action to action (Kojima, Togami & Becom Co. Ltd., 2009)
Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
Subject to subject Scene to scene (Kojima, Togami & Becom Co. Ltd., 2009)
Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
Subject to subject Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
Subject to subject Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
Subject to subject Subject to subject Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
(McCloud, 1993)
our example from the manga guide to calculus Kojima and togami Action to action: 29% Subject to subject: 54% Scene to scene: 17% Kojima, Togami & Becom Co. Ltd., 2009, p. 65)  (McCloud, 1993)
tufte’s visual confections Affordance 4: explanatory images can combine real and imaginary and transcend time using visual and textual space (Tufte, 1997, p. 121)
Verbs:  what the function or roller coaster is doing increasing=ascending Decreasing=descending real conceptual real (Tufte, 1997) Nouns: terms being explained tops=maxima Bottoms=minima conceptual (Kojima, Togami & Becom Co. Ltd., 2009)
conclusion Affordances of manga: Multimodality Reader expectations Closure Combine real and imaginary, transcend time and space (Kojima, Togami & Becom Co. Ltd., 2009)
Do they work? Affordances of manga: Multimodality Reader expectations Closure Combine real and imaginary, transcend time and space (Kojima, Togami & Becom Co. Ltd., 2009)
thank you
works cited Enzensberger, Hans Magnus & Berner, Rotraut Susanne. (1998). The 	number devil: A mathematical adventure. (Heim, Michael Henry, 	Trans.). New York, NY: Henry Hold and Company. (Original work 	published 1997). Gonick, Larry & Smith, Woollcott. (1993). The cartoon guide to 	statistics. New York, NY: Harper Perennial. Kojima, Hiroyuki, Togami, Shin & Becom Co., Ltd. (2009). The manga 	guide to calculus. San Francisco, CA: No Starch Press, Inc. Kostelnick, Charles. (2004). Melting pot ideology, modernist aesthetics, 	and the emergence of graphical conventions: The statistical atlases 	of the United States, 1874-1925. In Hill, Charles A & Helmers, 	Marguerite (Eds.) Defining Visual Rhetorics(215-242). New York, 	NY: Routledge. Kress, Gunther & van Leeuwen, Theo. (2006). Reading images: The 	grammar of visual design. New York, NY: Routledge. McCloud, Scott. (1993). Understanding comics: The invisible art. New 	York, NY: Harper Perennial Schwartz, Adam & Rubenstein-Avila, Eliane. (2006). Understanding the 	manga hype: Uncovering the multimodality of comic-book literacies. 	Journal of Adolescent & Adult Literacy 50 (1), 40-48.  Tufte, Edward. (1997). Visual Explanations. Cheshire, CT: Graphics Press.

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Manga Guide To Calc

  • 1. Visual Rhetoric of The Manga Guide to Calculus By Hiroyuki Kojima and Shin Togami, Becom Co., LTD. Roxanne Johnson WRIT 5671 8 May, 2010 (Kojima, Togami & Becom Co. Ltd., 2009)
  • 2. I’m a cartoon illustration used for math education! (Enzensberger, Hans Magnus & Berner, Rotraut Susanne, 1998, p. 177).
  • 3. This is an example of using comics to explain math! (Gonick, Larry & Smith, Woollcott. 1993, p. 30)
  • 4. Definition of Comics: Juxtaposed pictorial and other images in deliberate sequence, intended to convey information and/or produce an aesthetic response in the viewer “manga is visual data presented as animation. Calculus is a branch of mathematics that describes dynamic phenomena- thus, calculus is a perfect concept to teach with manga.” (Kojima, Togami & Becom Co. Ltd., 2009) (McCloud, 1993)
  • 6. “…visual language creates rhetorical energy by cultivating and meeting reader’s expectations” http://farm4.static.flickr.com/3477/3261421446_2eceef84bf.jpg “proficient manga readers are adept at negotiating multimodality, ‘using image plus language in increasingly complex ways’” Affordance 2: conceptual information becomes accessible through pre-established reader expectations (Schwartz, Rubenstein-Avila, 2006) (Kostelnick, 2004)
  • 7. Affordance 3: gutters invite closure between panels (McCloud, 1993)
  • 9. Example: eight pages with 24 transitions from the Manga Guide chapter 1: let’s differentiate a function! Approximating functions and calculating the relative error Subject to subject Action to action (Kojima, Togami & Becom Co. Ltd., 2009, p. 23)
  • 10. Scene to scene Action to action Action to action (Kojima, Togami & Becom Co. Ltd., 2009)
  • 11. Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
  • 12. Subject to subject Scene to scene (Kojima, Togami & Becom Co. Ltd., 2009)
  • 13. Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
  • 14. Subject to subject Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
  • 15. Subject to subject Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
  • 16. Subject to subject Subject to subject Subject to subject (Kojima, Togami & Becom Co. Ltd., 2009)
  • 18. our example from the manga guide to calculus Kojima and togami Action to action: 29% Subject to subject: 54% Scene to scene: 17% Kojima, Togami & Becom Co. Ltd., 2009, p. 65) (McCloud, 1993)
  • 19. tufte’s visual confections Affordance 4: explanatory images can combine real and imaginary and transcend time using visual and textual space (Tufte, 1997, p. 121)
  • 20. Verbs: what the function or roller coaster is doing increasing=ascending Decreasing=descending real conceptual real (Tufte, 1997) Nouns: terms being explained tops=maxima Bottoms=minima conceptual (Kojima, Togami & Becom Co. Ltd., 2009)
  • 21. conclusion Affordances of manga: Multimodality Reader expectations Closure Combine real and imaginary, transcend time and space (Kojima, Togami & Becom Co. Ltd., 2009)
  • 22. Do they work? Affordances of manga: Multimodality Reader expectations Closure Combine real and imaginary, transcend time and space (Kojima, Togami & Becom Co. Ltd., 2009)
  • 24. works cited Enzensberger, Hans Magnus & Berner, Rotraut Susanne. (1998). The number devil: A mathematical adventure. (Heim, Michael Henry, Trans.). New York, NY: Henry Hold and Company. (Original work published 1997). Gonick, Larry & Smith, Woollcott. (1993). The cartoon guide to statistics. New York, NY: Harper Perennial. Kojima, Hiroyuki, Togami, Shin & Becom Co., Ltd. (2009). The manga guide to calculus. San Francisco, CA: No Starch Press, Inc. Kostelnick, Charles. (2004). Melting pot ideology, modernist aesthetics, and the emergence of graphical conventions: The statistical atlases of the United States, 1874-1925. In Hill, Charles A & Helmers, Marguerite (Eds.) Defining Visual Rhetorics(215-242). New York, NY: Routledge. Kress, Gunther & van Leeuwen, Theo. (2006). Reading images: The grammar of visual design. New York, NY: Routledge. McCloud, Scott. (1993). Understanding comics: The invisible art. New York, NY: Harper Perennial Schwartz, Adam & Rubenstein-Avila, Eliane. (2006). Understanding the manga hype: Uncovering the multimodality of comic-book literacies. Journal of Adolescent & Adult Literacy 50 (1), 40-48. Tufte, Edward. (1997). Visual Explanations. Cheshire, CT: Graphics Press.