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This was my final project for a Visual Rhetoric class I took. I looked at affordances specific to Manga for the purposes of teaching calculus- basically, I was interested in what Manga could do that math textbooks or even non-Manga cartoons can\'t.
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THE MANGA GUIDE TO CALCULUS
VISUAL RHETORIC OF
BY HIROYUKI KOJIMA AND SHIN TOGAMI, BECOM CO., LTD.
ROXANNE JOHNSONWRIT 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.”
(McCloud, 1993)
(Kojima, Togami & Becom Co. Ltd., 2009)
AFFORDANCE 1: WORDS AND IMAGES CAN BE COMBINED TO CREATE A MULTIMODAL TEXT
http
://ww
w.jiscd
igita
lmedia
.ac.u
k/images/fl
ickr-word
s.jpg
http
://usa
cac.a
rmy.m
il/CA
C2
/bcks/C
onnecte
d/im
ages/b
rain
.jpg
“…VISUAL LANGUAGE CREATES RHETORICAL ENERGY BY CULTIVATING AND MEETING READER’S EXPECTATIONS”
“PROFICIENT MANGA READERS ARE ADEPT AT NEGOTIATING MULTIMODALITY, ‘USING IMAGE PLUS LANGUAGE IN INCREASINGLY COMPLEX WAYS’”
(Schwartz, Rubenstein-Avila, 2006)
(Kostelnick, 2004)
AFFORDANCE 2: CONCEPTUAL INFORMATION BECOMES ACCESSIBLE THROUGH PRE-ESTABLISHED READER EXPECTATIONS
http
://farm
4.sta
tic.flickr.co
m/3
47
7/3
26
14
21
44
6_2
ece
ef8
4bf.jp
g
(McCloud, 1993)
AFFORDANCE 3: GUTTERS INVITE CLOSURE BETWEEN PANELS
TR
AN
SIT
ION
S
(McCloud, 1993)
Subject to subject Action
to action
(Kojima, Togami & Becom Co. Ltd., 2009, p. 23)
EXAMPLE: EIGHT PAGES WITH 24 TRANSITIONS FROM THE MANGA GUIDE CHAPTER 1: LET’S DIFFERENTIATE A FUNCTION!APPROXIMATING FUNCTIONS AND CALCULATING THE RELATIVE ERROR
Scene to scene
Action to
actionAction
to action
(Kojima, Togami & Becom Co. Ltd., 2009)
Subject to
subject
(Kojima, Togami & Becom Co. Ltd., 2009)
Subject to subject
Scene to scen
e
(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 TOGAMIAction to action: 29%
Subject to subject: 54%Scene to scene: 17%
(McCloud, 1993)
Kojima, Togami & Becom Co. Ltd., 2009, p. 65)
TUFTE’S VISUAL CONFECTIONS
(Tufte, 1997, p. 121)
AFFORDANCE 4: EXPLANATORY IMAGES CAN COMBINE REAL AND IMAGINARY AND TRANSCEND TIME USING VISUAL AND TEXTUAL SPACE
VERBS: WHAT THE FUNCTION OR ROLLER
COASTER IS DOING
INCREASING=ASCENDINGDECREASING=DESCENDIN
G
NOUNS: TERMS BEING EXPLAINED
TOPS=MAXIMABOTTOMS=MINIMA
REAL
CONCEPTUAL REAL
CONCEPTUAL(Kojima, Togami & Becom Co. Ltd.,
2009)
(Tufte, 1997)
AFFORDANCES OF MANGA:
1.MULTIMODALITY2.READER
EXPECTATIONS3.CLOSURE4.COMBINE REAL
AND IMAGINARY, TRANSCEND TIME AND SPACE
CONCLUSION
(Kojima, Togami & Becom Co. Ltd., 2009)
AFFORDANCES OF MANGA:
1.MULTIMODALITY2.READER
EXPECTATIONS3.CLOSURE4.COMBINE REAL
AND IMAGINARY, TRANSCEND TIME AND SPACE
DO THEY WORK?
(Kojima, Togami & Becom Co. Ltd., 2009)
THANK YOU
WORKS CITEDEnzensberger, 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 PerennialSchwartz, 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.