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

mathmatis was too important to go
that
or rmain inomprhnsil to
misundrstood
Hr dotoral thsis, ntitld “Th
most.
of Latti Shaps of Rings of
Equidistriution
of Cui, Quarti, and Quinti Numr
Intgrs
An Artist’s Rndring” is prsntd at
Filds:
lvls. Th first lvl is a “laysap” with
diffrnt
using languag appropriat and
“laysplanations”,
to th layprson or studnt of
undrstandal
Nxt, Harron prsnts th
mathmatis.
and “mathsplanations”, for th
“mathsap”
mathmatiian or prs in th
amatur
mathmatis ommunity. Sh invits
profssional
to follow th argumnts up to thir
radrs
thrshold, and you an try to find
mathmatial
y following th link.
yours
trms: Equidistan of
Sarh
shaps Pipr thsis
latti
is on of th aras of knowldg
Mathmatis
whih studnts ommonly hold limiting
in
aout thir aility. Tahrs an
lifs
ths lifs or rat and rinfor
hallng
Blow ar two artils rlvant to this
thm.
of knowldg aquisition in mathmatis.
issu
1, y profssor of mathmatis
Sour
Jo Boalr, xplors how disovris
duation
nurosin should rshap th
from
and larning of mathmatis. Boalr
tahing
mathmatis lss as a mattr of
approahs
answrs and provn mthods, and mor
right
an xris that ahivs undrstanding
as
ollaoration and rativity. Follow th
through
1: Boalr, J. 2019. “Evryon Can Larn
Source
to High Lvls: th Evidn from
Mathmatis
that Should Chang our Tahing”
Nurosin
Mathmatial Soity Blogs)
(Amrian
trms: AMS Boalr
Sarh
an larn
Evryon
prinipl, hr full argumnt should possil
In
grasp at ithr lvl, and th thsis is intndd
to
“approximatly radal y approximatly
to
(Harron 2016).
anyon”
an intrviw pulishd in The Hindu (Dsikan
In
Harron idntifis th ida of th gnius
2016)
as on of th harmful myths
mathmatiian
in th mathmatis ommunity, and
prptuatd
for it to disardd. “Thr’s th ida that
alls
is fixd, you gt it or you don’t; that thr’s
math
right way to think aout things. … W nd
a
diffrnt popl in math. W nd diffrnt
mor
of thinking in math” (Harron quotd in
ways
2016).
Dsikan
11.3 xplors two onptions of, and
Box
possiilitis rgarding, th aquisition of
two
2, y Barara Oakly, prsnts a
Sour
ut rlatd vision of mathmatis, on
diffrnt
movs away from undrstanding, whthr
that
at rativly or through rot larning.
arrivd
instad xplors th ida of fluny in
Oakly
in lin with th onption of
mathmatis,
as a languag. Oakly livs
mathmatis
mathmatis is a hait of mind, a pattrn
that
thinking that is dvlopd through sustaind
of
In Oakly’s viw, mathmatial
prati.
is losr to know-how than to
knowldg
Follow th link to rad th dtails.
know-that.
2: Oakly, B. 2016. “How I Rwird my
Source
to Bom Flunt in Math” (Nautilus,
Brain
trms: Oakly How I
Sarh
my rain Nautilus
rwird
w think mathmatis is affts how w
What
and larn it. It affts what ass and
tah
to mathmatis larning looks lik, and
arrirs
it mans to fail and sud in aquiring
what
III. Methods and tools
III. Methods and tools
mathmatial knowldg.
Box 11.3: The “maths brain” and mathematical fluency
link to rad th artil in full.
15 Sptmr 2016)
mathmatis to high lvls
knowldg in this AOK.
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