manga guide to calc

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

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://ww

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lmedia

.ac.u

k/images/fl

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s.jpg

http

://usa

cac.a

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onnecte

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ages/b

rain

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“…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

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7/3

26

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(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.