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Theory of Knowledge - Course Companion for Students Marija Uzunova Dang Arvin Singh Uzunov Dang

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ulturs do not isolat mathmatis

Many

a sparat and spifi ativity or ara

as

knowldg, and do not nssarily hav

of

omparal to what w all

somthing

Mathmatial idas an found

mathmatis.

domains w would rogniz as rligious

in

art and dsign, gams and storis,

knowldg,

navigation and orintation pratis. How

or

w know whn and whthr othr ulturs

an

doing mathmatis? Ethnomathmatiians

ar

this qustion and th prolms

xplor

aris from it. Thy tak ar to pla

that

modrn prati of mathmatis has rarly

Th

Indignous mathmatial traditions.

aknowldgd

xption is th prati of kõlam. Kõlam,

On

“auty” in th south Asian languag

maning

is th nam of dsigns drawn in ri flour

Tamil,

a nturis-old tradition. Although

following

pattrns ar a form of dvotional art, thy

kõlam

mathmatial prinipls of symmtry and

mody

n studid y mathmatiians and

hav

sintists. Follow th link to find out

omputr

aout this ulturally mddd dsign

mor

and how it has ontriutd to th fild of

tradition

from Vijaya R. Nagarajan, author of

mathmatis

a Thousand Souls: Women, Ritual and Ecology

Feeding

whih thy aris, aus isolating thm

from

lind us to thir dpth.

an

mathmatial idas that ar

Considring

in ulturs othr than your own,

mddd

What maks a ultur’s mathmatial

1.

mathmatial? Is it that thy onform

idas

your undrstanding of mathmatis

to

so you idntify thm as suh, or is

and

somthing univrsal aout thm, or

thr

ls ntirly?

somthing

How an w rogniz and undrstand

2.

mathmatial idas of othr ulturs

th

thy do not hav omparal formal

if

prati?

mathmatial

trms: Vijaya Nagarajan

Sarh

YouTu

Kolam

of mathmatis as artisti or rligious

Exampls

suh as kõlam, draw attntion to th

prati,

in mathmatis of knowing y doing.

possiility

ida is xplord furthr in III.5.

This

thr a diffrn twn undrstanding,

Is

and knowing mathmatis? Th writr

doing

Wrthim givs ross-ultural

Margart

of mathmatial know-how

xampls

for it was xprssd as a formula.

long

rading th xrpt low, onsidr

Whn

th popl ar doing mathmatis.

whthr

mathmatis is dfind as somthing that

If

n or an mathmatially provn,

has

answr might hav to “no”. To say

th

would man xpanding th dfinition

“ys”

mathmatial knowldg and prati into

of

trritoris of ultural, rligious and artisti

th

Rmmr that this dmaration

traditions.

knowldg into diffrnt trritoris

of

is a rlativly nw, and far from

(disiplins)

approah. What is lost and gaind

univrsal,

doing so? Is thr a as that mathmatis

y

ths oundaris mor radily than

transnds

AOKs?

othr

II. Perspectives

II. Perspectives

For ref lection

Mathematical ideas in different

cultures

rflt on th following qustions.

mathmatial idas in th ultural ontxts

in India, an Exploration of the Kõlam.

331

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