manga guide to calc

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THE MANGA GUIDE TO CALCULUS VISUAL RHETORIC OF BY HIROYUKI KOJIMA AND SHIN TOGAMI, BECOM CO., LTD. ROXANNE JOHNSON WRIT 5671 8 MAY, 2010 (Kojima, Togami & Becom Co.

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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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Page 1: 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)

Page 2: Manga Guide To Calc

I’M A CARTOON ILLUSTRATION USED FOR MATH EDUCATION!

(Enzensberger, Hans Magnus & Berner, Rotraut Susanne, 1998, p. 177).

Page 3: Manga Guide To Calc

THIS IS AN EXAMPLE OF

USING COMICS TO EXPLAIN

MATH!

(Gonick, Larry & Smith, Woollcott. 1993, p. 30)

Page 4: Manga Guide To Calc

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)

Page 5: Manga Guide To Calc

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

Page 6: Manga Guide To Calc

“…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

Page 7: Manga Guide To Calc

(McCloud, 1993)

AFFORDANCE 3: GUTTERS INVITE CLOSURE BETWEEN PANELS

Page 8: Manga Guide To Calc

TR

AN

SIT

ION

S

(McCloud, 1993)

Page 9: Manga Guide To Calc

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

Page 10: Manga Guide To Calc

Scene to scene

Action to

actionAction

to action

(Kojima, Togami & Becom Co. Ltd., 2009)

Page 11: Manga Guide To Calc

Subject to

subject

(Kojima, Togami & Becom Co. Ltd., 2009)

Page 12: Manga Guide To Calc

Subject to subject

Scene to scen

e

(Kojima, Togami & Becom Co. Ltd., 2009)

Page 13: Manga Guide To Calc

Subject to

subject

(Kojima, Togami & Becom Co. Ltd., 2009)

Page 14: Manga Guide To Calc

Subject to

subject

Subject to subject

(Kojima, Togami & Becom Co. Ltd., 2009)

Page 15: Manga Guide To Calc

Subject to subject

Subject to

subject

(Kojima, Togami & Becom Co. Ltd., 2009)

Page 16: Manga Guide To Calc

Subject to subject

Subject to

subject

Subject to

subject

(Kojima, Togami & Becom Co. Ltd., 2009)

Page 17: Manga Guide To Calc

(McCloud, 1993)

Page 18: Manga Guide To Calc

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)

Page 19: Manga Guide To Calc

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

Page 20: Manga Guide To Calc

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)

Page 21: Manga Guide To Calc

AFFORDANCES OF MANGA:

1.MULTIMODALITY2.READER

EXPECTATIONS3.CLOSURE4.COMBINE REAL

AND IMAGINARY, TRANSCEND TIME AND SPACE

CONCLUSION

(Kojima, Togami & Becom Co. Ltd., 2009)

Page 22: Manga Guide To Calc

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)

Page 23: Manga Guide To Calc

THANK YOU

Page 24: Manga Guide To Calc

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.