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Artifi
c
ial
i
n
telli
g
e
n
c
e
(AI)
h
a
s
in
c
re
a
sin
g
ly
sh
a
p
e
d
e
d
u
c
a
ti
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wit
h
Ch
a
tG
P
T
d
e
v
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lo
p
e
d
b
y
O
p
e
n
AI,
e
m
e
rg
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g
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s
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p
ro
m
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e
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it
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te
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tex
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u
a
ll
y
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lev
a
n
t
lan
g
u
a
g
e
a
n
d
su
p
p
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rt
lea
rn
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n
g
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is
su
rv
e
y
in
v
e
stig
a
tes
th
e
in
teg
ra
ti
o
n
o
f
Ch
a
tG
P
T
i
n
to
m
a
th
e
m
a
ti
c
s
e
d
u
c
a
ti
o
n
,
fo
c
u
sin
g
o
n
th
re
e
d
ime
n
si
o
n
s.
F
irst,
it
e
x
p
lo
re
s
in
n
o
v
a
ti
v
e
str
a
teg
ies
fo
r
c
re
a
ti
n
g
i
n
tera
c
ti
v
e
a
n
d
p
e
rso
n
a
li
z
e
d
lea
rn
i
n
g
e
n
v
ir
o
n
m
e
n
ts
th
a
t
a
d
a
p
t
to
in
d
i
v
id
u
a
l
stu
d
e
n
t
n
e
e
d
s.
S
e
c
o
n
d
,
it
e
v
a
lu
a
tes
Ch
a
tG
P
T’s
sp
e
c
ifi
c
a
d
v
a
n
tag
e
s
in
m
a
th
e
m
a
ti
c
s
in
stru
c
ti
o
n
,
i
n
c
lu
d
in
g
p
r
o
v
id
i
n
g
tailo
re
d
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e
d
b
a
c
k
,
a
ss
isti
n
g
with
p
ro
b
lem
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so
lv
in
g
,
a
n
d
d
e
e
p
e
n
in
g
c
o
n
c
e
p
t
u
a
l
u
n
d
e
rsta
n
d
i
n
g
.
Th
ird
,
it
a
d
d
re
ss
e
s
th
e
c
h
a
ll
e
n
g
e
s
o
f
a
d
o
p
ti
n
g
C
h
a
tG
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T
in
a
d
v
a
n
c
e
d
m
a
th
e
m
a
ti
c
s
e
d
u
c
a
ti
o
n
,
su
c
h
a
s
risk
s
o
f
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v
e
r
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re
l
ian
c
e
,
th
e
n
e
c
e
ss
it
y
o
f
b
a
lan
c
in
g
AI
wit
h
tr
a
d
it
io
n
a
l
p
e
d
a
g
o
g
y
,
a
n
d
t
h
e
imp
o
rtan
c
e
o
f
o
n
g
o
i
n
g
p
r
o
fe
ss
io
n
a
l
d
e
v
e
lo
p
m
e
n
t
f
o
r
e
d
u
c
a
to
rs.
Re
c
e
n
t
st
u
d
ies
h
i
g
h
li
g
h
t
Ch
a
tG
P
T’s
p
o
ten
ti
a
l
to
s
o
lv
e
c
o
m
p
lex
m
a
th
e
m
a
ti
c
a
l
p
ro
b
lem
s,
su
c
h
a
s
th
o
se
in
li
n
e
a
r
a
lg
e
b
ra
a
n
d
w
o
rd
p
r
o
b
l
e
m
s,
wh
il
e
a
lso
n
o
ti
n
g
li
m
it
a
ti
o
n
s
re
late
d
to
a
c
c
u
ra
c
y
a
n
d
t
h
e
p
re
se
rv
a
ti
o
n
o
f
c
rit
ica
l
t
h
i
n
k
i
n
g
sk
il
ls.
T
h
e
fin
d
in
g
s
d
e
m
o
n
stra
te
th
a
t
Ch
a
tG
P
T
c
a
n
si
g
n
ifi
c
a
n
t
ly
e
n
h
a
n
c
e
m
a
th
e
m
a
ti
c
s
e
d
u
c
a
ti
o
n
b
y
su
p
p
o
rti
n
g
p
e
rso
n
a
li
z
e
d
l
e
a
rn
in
g
a
n
d
c
o
m
p
lex
p
ro
b
le
m
-
so
lv
in
g
.
Th
e
re
fo
re
,
th
is
stu
d
y
wil
l
c
o
n
tri
b
u
te
to
th
e
d
isc
o
u
rse
o
n
AI
i
n
e
d
u
c
a
ti
o
n
b
y
id
e
n
ti
f
y
in
g
o
p
p
o
rtu
n
it
ies
,
c
h
a
ll
e
n
g
e
s,
a
n
d
imp
l
ica
ti
o
n
s
f
o
r
e
q
u
i
ty
,
p
e
d
a
g
o
g
y
,
a
n
d
t
h
e
re
sp
o
n
sib
le i
n
teg
ra
ti
o
n
o
f
Ch
a
tG
P
T
in
fu
t
u
re
c
las
sro
o
m
s.
K
ey
w
o
r
d
s
:
AI
ch
atb
o
t
Ar
tific
ial
in
tellig
en
ce
C
h
atGPT
Ma
th
em
atica
l e
d
u
ca
tio
n
Ma
th
em
atica
l m
o
d
elin
g
Ma
th
em
atica
l p
r
o
b
lem
s
T
h
is i
s
a
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o
p
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c
c
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a
rticle
u
n
d
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r th
e
CC B
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se
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C
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s
p
o
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ing
A
uth
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r
:
Sy
aib
a
B
alq
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h
Ar
if
f
in
Sch
o
o
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f
Ma
th
e
m
atica
l Scie
n
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s
,
Un
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er
s
iti Sain
s
Ma
lay
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Pen
an
g
1
1
8
0
0
,
Ma
lay
s
ia
E
m
ail: b
alq
is
h
ar
if
f
in
@
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.
m
y
1.
I
NT
RO
D
UCT
I
O
N
Ar
tific
ial
i
n
tellig
en
ce
(
AI
)
h
as
s
ig
n
if
ican
tly
im
p
ac
ted
n
u
m
er
o
u
s
asp
ec
ts
o
f
o
u
r
d
aily
liv
es,
esp
ec
ially
th
r
o
u
g
h
in
tellig
en
t
a
g
en
ts
th
at
p
er
f
o
r
m
a
wid
e
r
an
g
e
o
f
f
u
n
ctio
n
s
[
1
]
–
[
5
]
.
Am
o
n
g
th
ese
in
n
o
v
atio
n
s
,
C
h
atGPT
,
an
AI
-
p
o
wer
ed
c
h
atb
o
t
d
e
v
elo
p
ed
b
y
O
p
en
AI
,
h
as
g
ain
ed
atten
tio
n
f
o
r
its
co
n
v
er
s
atio
n
al
ca
p
ab
ilit
ies
ac
r
o
s
s
d
iv
er
s
e
to
p
ics.
C
h
atG
PT
is
b
u
ilt
o
n
th
e
g
en
er
ativ
e
p
r
e
-
tr
ai
n
ed
tr
an
s
f
o
r
m
er
(
GPT)
m
o
d
el,
a
s
tate
-
of
-
th
e
-
ar
t
m
ac
h
i
n
e
lear
n
i
n
g
f
r
am
ewo
r
k
th
at
h
as
r
ev
o
lu
tio
n
ized
n
atu
r
al
lan
g
u
ag
e
p
r
o
ce
s
s
in
g
(
NL
P)
[
6
]
.
T
h
e
s
u
cc
ess
o
f
GPT,
p
ar
ticu
l
ar
ly
its
ab
ilit
y
to
g
en
er
ate
h
u
m
an
-
lik
e
r
esp
o
n
s
es,
is
r
o
o
te
d
in
d
ee
p
lea
r
n
in
g
tech
n
iq
u
es
an
d
its
tr
ain
in
g
o
n
v
ast,
d
iv
er
s
e
d
atasets
th
at
s
p
an
th
e
in
ter
n
et
[
7
]
,
[
8
]
.
Desp
ite
C
h
atG
PT’
s
im
p
r
ess
iv
e
p
er
f
o
r
m
an
ce
,
o
n
e
o
f
t
h
e
ce
n
t
r
al
ch
allen
g
es
it
ad
d
r
ess
es
is
u
n
d
e
r
s
tan
d
in
g
an
d
r
esp
o
n
d
in
g
to
co
m
p
lex
,
co
n
te
x
t
-
s
en
s
itiv
e
p
r
o
m
p
ts
;
an
ess
en
tial
f
ea
tu
r
e
f
o
r
ap
p
licatio
n
s
in
b
o
th
tex
t
a
n
d
im
ag
e
g
en
er
atio
n
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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t J Ar
tif
I
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tell
I
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N:
2252
-
8
9
3
8
A
s
u
r
ve
y
o
n
leve
r
a
g
in
g
a
r
tifi
cia
l in
tellig
en
ce
to
o
ls
fo
r
en
h
a
n
cin
g
a
d
v
a
n
ce
d
…
(
Ha
d
ee
l N.
A
b
o
s
a
o
o
d
a
)
77
[
8
]
.
T
h
is
ab
ilit
y
allo
ws
u
s
er
s
to
in
ter
ac
t
d
y
n
a
m
ically
,
cr
ea
tin
g
r
elev
a
n
t
v
is
u
als
an
d
s
o
lv
in
g
in
tr
icate
p
r
o
b
lem
s
b
ased
o
n
h
u
m
an
in
p
u
t,
in
clu
d
i
n
g
ed
u
ca
tio
n
al
an
d
s
cien
tific
co
n
tex
ts
.
W
ith
in
ac
ad
em
ic
cir
cles,
AI
ch
atb
o
ts
h
av
e
p
r
o
v
e
n
th
eir
u
tili
ty
ac
r
o
s
s
a
v
ar
iety
o
f
f
ield
s
,
s
er
v
in
g
as
a
to
o
l
f
o
r
in
f
o
r
m
atio
n
r
etr
iev
al,
o
r
g
an
izatio
n
,
an
d
g
en
er
atio
n
,
th
u
s
en
ab
lin
g
in
ter
d
is
cip
lin
ar
y
r
esear
ch
.
Stu
d
ies
h
ig
h
lig
h
t
th
eir
g
r
o
win
g
r
elev
a
n
ce
in
m
ath
em
atica
l
ed
u
ca
tio
n
[
9
]
–
[
1
3
]
,
p
r
o
b
lem
-
s
o
lv
in
g
[
1
4
]
,
[
1
5
]
,
h
ea
lth
ca
r
e
[
1
6
]
–
[
1
8
]
,
in
d
u
s
tr
y
,
an
d
b
u
s
in
ess
[
1
9
]
–
[
2
1
]
,
as
well
a
s
cr
ea
tiv
e
f
ield
s
lik
e
co
m
m
u
n
icatio
n
,
ar
ts
,
an
d
cu
ltu
r
e
[
2
2
]
–
[
2
4
]
.
Ho
wev
e
r
,
o
n
e
s
p
e
cif
ic
ar
ea
wh
er
e
C
h
atGPT
h
as
b
ee
n
ex
ten
s
iv
ely
s
tu
d
ied
is
in
m
ath
em
atics
ed
u
ca
tio
n
.
Sev
er
al
p
a
p
er
s
h
a
v
e
d
o
cu
m
e
n
ted
C
h
atGPT
's
p
o
ten
tial
in
s
o
lv
in
g
m
ath
em
at
ical
p
r
o
b
lem
s
an
d
p
r
o
v
id
i
n
g
in
s
ig
h
ts
in
to
c
o
n
ce
p
ts
s
u
ch
as lin
ea
r
alg
eb
r
a
an
d
w
o
r
d
p
r
o
b
lem
co
m
p
r
eh
en
s
io
n
[
2
5
]
–
[
3
0
]
.
Desp
ite
th
ese
ad
v
an
ce
m
e
n
ts
,
ch
allen
g
es
r
em
ain
,
p
a
r
ticu
lar
l
y
in
th
e
r
ea
lm
o
f
teac
h
i
n
g
a
n
d
lear
n
in
g
(
T
n
L
)
m
at
h
em
atics.
Prio
r
wo
r
k
s
h
av
e
p
r
im
ar
ily
f
o
cu
s
ed
o
n
th
e
tech
n
o
lo
g
ical
in
teg
r
atio
n
o
f
AI
to
o
ls
in
T
n
L
m
ath
em
atics
[
3
1
]
–
[
3
5
]
,
m
ath
em
atics
in
s
tr
u
ctio
n
[
3
6
]
,
m
at
h
em
atics
cu
r
r
icu
lu
m
d
ev
elo
p
[
3
7
]
,
m
ath
em
atics
ex
am
[
3
8
]
,
m
ath
em
atica
l
m
o
d
elin
g
[
3
9
]
,
an
d
m
ath
em
atics
e
d
u
ca
tio
n
[
4
0
]
–
[
4
4
]
,
b
u
t
g
ap
s
s
till
ex
is
t
r
eg
ar
d
in
g
th
e
b
alan
ce
b
etwe
en
AI
-
d
r
iv
en
teac
h
in
g
m
et
h
o
d
s
a
n
d
tr
a
d
itio
n
al
ap
p
r
o
ac
h
es.
I
n
p
a
r
ticu
lar
,
c
o
n
ce
r
n
s
h
av
e
b
ee
n
r
aised
ab
o
u
t
o
v
er
-
r
elian
c
e
o
n
AI
,
th
e
ef
f
ec
tiv
en
ess
o
f
f
ee
d
b
ac
k
p
r
o
v
id
ed
b
y
C
h
atGPT
,
an
d
th
e
n
ee
d
f
o
r
s
u
s
tain
ed
p
r
o
f
ess
io
n
al
d
ev
elo
p
m
en
t f
o
r
ed
u
ca
to
r
s
.
T
h
is
p
ap
er
aim
s
to
a
d
d
r
ess
th
ese
u
n
s
o
lv
ed
p
r
o
b
lem
s
b
y
o
f
f
er
in
g
a
c
o
m
p
r
e
h
en
s
iv
e
a
n
aly
s
is
o
f
C
h
atGPT
'
s
r
o
le
in
tr
an
s
f
o
r
m
in
g
m
ath
em
atics
ed
u
ca
tio
n
.
Sp
e
cif
ically
,
it
ex
p
lo
r
es
n
ew
p
ed
ag
o
g
ical
ap
p
r
o
ac
h
es
th
at
m
ak
e
m
ath
em
atics
m
o
r
e
in
ter
ac
tiv
e
an
d
p
er
s
o
n
alize
d
f
o
r
s
tu
d
en
ts
.
T
h
e
f
ir
s
t
s
ec
tio
n
o
f
th
e
p
ap
e
r
d
etails
th
ese
p
ed
ag
o
g
ical
m
eth
o
d
s
,
s
h
o
win
g
h
o
w
C
h
atGPT
en
h
an
ce
s
s
tu
d
en
t
en
g
ag
em
en
t
an
d
s
u
p
p
o
r
ts
ad
ap
tiv
e
lear
n
in
g
en
v
ir
o
n
m
en
ts
.
T
h
e
s
ec
o
n
d
s
ec
tio
n
d
elv
es
in
to
th
e
co
m
p
ar
ativ
e
ad
v
a
n
tag
es
o
f
C
h
atGPT
o
v
er
o
th
e
r
tech
n
o
lo
g
ies
in
ter
m
s
o
f
p
r
o
v
id
i
n
g
i
n
d
iv
id
u
alize
d
f
e
ed
b
ac
k
,
f
o
s
ter
in
g
p
r
o
b
lem
-
s
o
lv
in
g
s
k
ills
,
an
d
en
co
u
r
a
g
in
g
lo
g
ical
th
in
k
i
n
g
.
T
h
e
th
ir
d
s
ec
tio
n
d
is
cu
s
s
e
s
b
o
th
th
e
o
p
p
o
r
tu
n
ities
an
d
r
i
s
k
s
as
s
o
ciate
d
with
in
teg
r
atin
g
C
h
atGPT
in
to
ad
v
an
ce
d
m
ath
em
atics
in
s
tr
u
ctio
n
,
in
clu
d
in
g
th
e
p
o
ten
tial
f
o
r
o
v
er
-
d
ep
en
d
en
ce
o
n
AI
an
d
th
e
ch
allen
g
es
p
o
s
ed
b
y
b
alan
cin
g
tech
n
o
lo
g
y
with
tr
ad
itio
n
al
m
eth
o
d
s
.
T
h
e
f
in
a
l
co
m
m
en
tar
y
th
at
m
er
g
es
th
ese
r
ef
lectio
n
s
s
u
b
s
tan
tiates
th
e
ar
ticles,
o
u
tlin
in
g
a
tr
an
s
f
o
r
m
ativ
e
v
is
io
n
f
o
r
m
ath
ed
u
ca
tio
n
wit
h
C
h
atGPT
an
d
th
e
ch
allen
g
es t
o
its
ef
f
ec
tiv
e
u
s
e.
2.
ST
RA
T
E
G
I
E
S
F
O
R
I
NT
E
G
RATI
NG
CH
AT
G
P
T
I
N
M
A
T
H
E
M
A
T
I
C
S
E
DUC
AT
I
O
N
AND
P
RO
B
L
E
M
SO
L
V
I
NG
A
v
ar
iety
o
f
ad
v
an
ce
m
en
ts
ar
e
b
ec
o
m
in
g
co
m
m
o
n
ac
r
o
s
s
s
ev
er
al
ar
ea
s
d
u
e
to
th
e
in
teg
r
a
tio
n
o
f
AI
.
Su
ch
o
cc
u
r
r
e
n
ce
s
ar
e
p
ar
ti
cu
lar
ly
tr
u
e
in
ed
u
ca
tio
n
,
esp
ec
ially
in
m
ath
em
atics.
W
ith
tech
n
o
lo
g
ical
ad
v
an
ce
m
e
n
ts
,
ed
u
ca
tio
n
h
as
tak
en
o
n
a
n
ew
f
o
r
ce
,
m
o
v
in
g
to
war
d
s
m
o
r
e
p
e
r
s
o
n
alize
d
d
ev
elo
p
m
en
t
o
f
s
tu
d
en
ts
d
u
e
to
th
e
ass
is
tiv
e
f
ea
tu
r
es
r
elate
d
to
in
ter
ac
tio
n
.
B
esid
es,
AI
is
u
s
ef
u
l
f
o
r
ed
u
ca
to
r
s
.
I
t
h
elp
s
th
em
ev
alu
ate
th
e
s
tu
d
en
t’
s
p
r
o
f
icien
cy
lev
els to
o
f
f
er
m
et
h
o
d
s
f
o
r
p
er
s
o
n
alize
d
teac
h
in
g
th
at
ar
e
ap
p
r
o
p
r
iate
to
u
s
e
f
o
r
lear
n
e
r
s
with
s
p
ec
if
ic
n
ee
d
s
.
T
h
is
is
th
e
r
ea
s
o
n
wh
y
in
teg
r
atin
g
AI
in
to
m
ath
em
atica
l
e
d
u
ca
tio
n
m
a
k
es
th
e
lear
n
in
g
p
r
o
ce
s
s
m
o
r
e
ef
f
icien
t
an
d
p
u
r
p
o
s
ef
u
l.
T
h
er
e
ar
e
m
an
y
d
if
f
er
en
t
e
x
am
p
les
o
f
AI
ap
p
licatio
n
s
,
b
u
t
we
f
o
cu
s
o
n
ly
o
n
o
n
e
p
latf
o
r
m
in
th
is
s
tu
d
y
: Ch
atGPT
.
Yeo
et
a
l
.
[
4
3
]
s
tated
th
at
p
er
s
o
n
alize
d
f
ee
d
b
ac
k
f
r
o
m
C
h
at
GPT
is
b
en
ef
icial
f
o
r
s
tu
d
en
t
s
,
as
th
ey
r
ec
eiv
e
cu
s
to
m
ex
p
lan
atio
n
s
an
d
in
s
ig
h
ts
tailo
r
ed
to
th
eir
s
p
ec
if
ic
n
ee
d
s
.
On
e
o
f
th
e
b
est
th
in
g
s
ab
o
u
t
teac
h
in
g
with
ch
at
is
th
at
it
i
s
f
ea
s
ib
le
to
r
ec
eiv
e
r
ea
l
-
tim
e
an
s
wer
s
to
th
e
q
u
esti
o
n
s
a
s
k
ed
in
th
e
p
r
o
ce
s
s
o
f
lear
n
in
g
,
wh
ich
is
a
h
u
g
e
a
d
v
a
n
ce
m
en
t
c
o
m
p
ar
e
d
to
class
ical
way
s
,
h
elp
in
g
in
estab
lis
h
in
g
th
e
u
n
d
er
s
tan
d
i
n
g
an
d
m
a
k
in
g
th
e
a
d
ju
s
tm
en
ts
v
er
y
f
ast.
Me
a
n
wh
ile,
th
e
ca
p
a
b
ilit
y
o
f
C
h
atGPT
to
s
o
lv
e
i
n
tr
icate
m
ath
em
atica
l
p
r
o
b
lem
s
h
as
im
p
r
o
v
ed
lear
n
in
g
o
p
p
o
r
tu
n
ities
an
d
co
n
t
r
ib
u
ted
to
in
clu
s
iv
e
p
ed
ag
o
g
y
in
lar
g
e
class
-
s
ized
s
ettin
g
s
b
y
allo
win
g
m
u
ltip
le
s
tu
d
en
ts
at
o
n
ce
.
Mo
r
eo
v
er
,
t
h
e
ad
o
p
tio
n
o
f
th
e
AI
to
o
l
al
s
o
b
o
o
s
ts
p
r
o
b
lem
-
s
o
lv
in
g
s
k
ills
,
lo
g
ical
r
ea
s
o
n
i
n
g
,
a
n
d
u
n
d
e
r
s
tan
d
in
g
o
f
th
e
r
elatio
n
s
h
ip
th
at
m
ath
em
atics
h
as
with
c
o
m
p
u
ter
s
cien
ce
,
im
p
r
o
v
i
n
g
d
ata
liter
ac
y
as we
ll a
s
s
tati
s
tical
k
n
o
wled
g
e
in
a
m
o
r
e
c
o
m
p
u
tatio
n
al
t
h
in
k
in
g
wo
r
ld
.
An
ev
alu
atio
n
was
co
n
d
u
cted
o
n
C
h
atGPT
'
s
p
er
f
o
r
m
an
ce
ac
r
o
s
s
v
ar
io
u
s
task
s
.
T
h
is
in
clu
d
es
a
test
o
n
th
e
ab
ilit
y
to
h
an
d
le
a
f
in
a
n
cial
ar
ith
m
etic
p
r
o
b
lem
[
4
4
]
.
T
h
e
to
p
ic
o
f
th
is
p
r
o
b
lem
wa
s
f
o
cu
s
ed
o
n
h
o
w
to
ca
lcu
late
th
e
in
s
talm
en
t
p
ay
m
en
ts
o
n
an
item
p
u
r
ch
ased
af
t
er
an
u
p
f
r
o
n
t
p
a
y
m
en
t,
wh
ich
is
a
c
o
m
m
o
n
way
lo
an
s
o
r
f
in
an
cin
g
will
b
e
d
ea
lt
o
u
t.
T
h
e
task
in
v
o
lv
ed
a
p
u
r
c
h
ase
to
talin
g
1
,
2
0
0
r
ea
i
s
,
with
an
u
p
f
r
o
n
t
p
ay
m
en
t
o
f
3
0
0
r
ea
is
an
d
a
p
lan
to
s
ettle
th
e
b
alan
ce
in
1
2
m
o
n
th
ly
in
s
talm
en
ts
.
T
h
e
s
u
g
g
ested
s
o
lu
tio
n
b
y
C
h
atGPT
was
h
ig
h
ly
ac
c
u
r
ate
an
d
well
-
elab
o
r
ate
d
.
I
t
ac
c
u
r
ately
d
ed
u
ce
d
th
at
th
e
b
ala
n
c
e
p
ay
a
b
le
wo
u
ld
b
e
9
0
0
r
ea
is
af
ter
an
in
itial
p
ay
m
en
t
o
f
3
0
0
r
ea
is
h
ad
b
ee
n
m
a
d
e.
Af
ter
d
iv
id
in
g
th
is
s
u
m
b
y
1
2
,
it
is
in
d
ee
d
h
o
w
th
e
C
h
atGPT
ca
m
e
to
th
e
r
i
g
h
t
co
n
cl
u
s
io
n
th
at
o
n
e
in
s
ta
lm
en
t
wo
u
ld
a
m
o
u
n
t
to
7
5
r
ea
is
.
Mo
r
eo
v
er
,
th
e
s
o
lu
tio
n
was
s
tr
u
ctu
r
ed
in
a
v
er
y
lo
g
ical
way
,
wh
er
e
e
v
er
y
s
tep
th
at
n
ee
d
ed
t
o
b
e
ta
k
en
h
ad
b
ee
n
o
u
tlin
ed
in
d
etail.
Ov
er
all,
th
e
ca
lcu
latio
n
s
f
o
r
d
eter
m
i
n
in
g
in
s
talm
en
t p
ay
m
en
ts
wer
e
well
u
n
d
e
r
s
to
o
d
b
y
C
h
atGPT
.
T
aa
n
i
an
d
A
la
b
i
d
i
[
3
4
]
h
as
d
e
alt
wi
th
a
c
o
m
p
r
e
h
e
n
s
i
v
e
e
x
a
m
i
n
at
io
n
o
f
h
o
w
m
at
h
e
m
a
tics
ed
u
c
ati
o
n
is
b
ei
n
g
l
o
o
k
e
d
at
t
h
es
e
d
a
y
s
wi
th
s
u
p
p
o
r
t
f
r
o
m
C
h
a
tGPT
.
T
h
e
a
n
al
y
s
is
o
f
th
e
C
h
atGP
T
e
d
i
ted
c
h
at
t
r
a
n
s
cr
ip
ts
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8
9
3
8
I
n
t J Ar
tif
I
n
tell
,
Vo
l.
1
5
,
No
.
1
,
Feb
r
u
ar
y
2
0
2
6
:
76
-
85
78
s
h
o
ws
a
tr
e
n
d
t
o
wa
r
d
s
b
r
i
n
g
i
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d
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ties
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ati
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o
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ti
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ed
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o
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es
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o
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th
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o
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at
a
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er
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n
d
s
ta
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cs.
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h
u
s
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h
e
i
m
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ac
t
o
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h
e
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es
u
lts
o
n
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t
u
r
e
o
f
m
a
th
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ati
cs in
s
t
r
u
cti
o
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o
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ti
n
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es
t
o
f
o
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u
s
o
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r
o
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le
m
-
s
o
l
v
i
n
g
a
n
d
cr
itic
al
t
h
i
n
k
i
n
g
.
T
h
is
al
s
o
f
o
c
u
s
es
o
n
m
a
k
i
n
g
c
o
n
n
ec
ti
o
n
s
a
n
d
u
s
i
n
g
in
t
er
d
is
ci
p
li
n
a
r
y
k
n
o
wl
e
d
g
e,
a
s
it
c
o
n
t
in
u
es
t
o
b
e
f
o
c
u
s
e
d
o
n
r
ele
n
t
less
l
y
p
u
r
s
u
i
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g
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i
ty
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d
i
n
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u
s
i
o
n
.
A
I
is
ex
p
e
cte
d
to
r
ev
o
l
u
t
io
n
i
ze
m
at
h
em
a
tics
e
d
u
ca
ti
o
n
,
w
h
i
c
h
m
ay
b
e
ac
h
i
ev
e
d
i
f
t
h
e
r
e
is
c
o
n
s
is
t
e
n
t
i
m
p
le
m
en
tati
o
n
wit
h
p
l
an
n
ed
p
r
o
f
ess
io
n
a
l
d
ev
elo
p
m
e
n
t
a
n
d
p
e
d
a
g
o
g
i
ca
ll
y
d
r
i
v
e
n
d
esi
g
n
.
N
o
t
ab
ly
,
m
at
h
e
m
at
ics
e
d
u
ca
ti
o
n
is
s
till
a
n
em
e
r
g
en
t
ar
ea
,
a
n
d
b
o
t
h
tea
c
h
e
r
s
a
n
d
l
ec
t
u
r
e
r
s
n
ee
d
t
o
k
ee
p
a
b
r
ea
s
t
o
f
t
ec
h
n
o
lo
g
i
c
al
an
d
p
e
d
a
g
o
g
ic
al
d
e
v
e
lo
p
m
e
n
ts
.
I
n
e
n
s
u
r
in
g
t
h
at
t
h
ei
r
s
t
u
d
e
n
ts
c
an
b
e
s
u
c
c
ess
f
u
l
i
n
a
r
a
p
i
d
l
y
c
h
a
n
g
i
n
g
ed
u
c
ati
o
n
al
s
y
s
t
em
,
ed
u
c
at
o
r
s
a
r
e
r
e
q
u
i
r
e
d
to
b
e
c
o
m
m
i
tte
d
t
o
ad
a
p
ti
n
g
to
t
h
es
e
c
h
a
n
g
es
w
h
il
e
m
ai
n
t
ai
n
i
n
g
h
i
g
h
-
q
u
alit
y
e
d
u
ca
ti
o
n
.
A
s
tu
d
y
is
co
n
d
u
cted
to
ass
es
s
th
e
m
ath
em
atica
l
ca
p
ab
ilit
ies
o
f
C
h
atGPT
,
co
m
p
ar
in
g
its
p
er
f
o
r
m
an
ce
to
th
at
o
f
Min
er
v
a
[
2
6
]
.
T
h
e
m
at
h
em
atica
l
p
r
o
b
lem
s
ch
o
s
en
f
o
r
th
is
ass
es
s
m
en
t
wer
e
p
r
etty
ad
v
an
ce
d
t
o
b
eg
i
n
with
,
p
r
e
s
en
tin
g
co
n
s
id
er
ab
le
c
h
allen
g
es
to
AI
.
I
n
t
h
eir
f
in
d
in
g
s
,
th
ey
h
ig
h
lig
h
t
th
e
f
o
llo
win
g
k
e
y
o
b
s
er
v
ati
o
n
:
th
er
e
is
a
s
u
b
s
tan
tial
g
ap
b
etwe
en
f
o
r
m
al
m
at
h
em
atics,
wh
ich
d
o
es
h
av
e
lar
g
e
d
atab
ases
o
f
p
r
o
o
f
s
(
s
u
ch
as
l
ea
n
’
s
lib
r
ar
y
o
f
f
o
r
m
al
m
ath
e
m
atica
l
p
r
o
o
f
s
)
,
a
n
d
n
at
u
r
al
la
n
g
u
ag
e
d
atasets
f
o
r
m
ath
em
atica
l
p
r
o
o
f
u
s
ed
t
o
t
est
lan
g
u
ag
e
m
o
d
els,
wh
ich
t
en
d
to
f
o
cu
s
m
ain
ly
o
n
ele
m
en
tar
y
m
ath
e
m
atics.
T
h
e
r
esear
c
h
er
s
d
e
d
u
ce
d
th
at
o
n
e
th
in
g
t
h
ese
d
atasets
h
a
v
e
in
co
m
m
o
n
is
th
at
C
h
atGPT
's
m
ath
em
atica
l
p
r
o
f
icien
c
y
is
b
etter
th
an
t
h
e
a
v
er
ag
e
g
r
ad
u
ate
s
tu
d
e
n
t in
m
at
h
em
atics.
T
h
e
r
es
ea
r
c
h
in
v
esti
g
a
te
d
t
h
e
p
e
r
s
p
ec
ti
v
es
o
f
m
a
i
n
s
t
ak
e
h
o
l
d
e
r
s
,
i
n
c
lu
d
i
n
g
s
tu
d
e
n
ts
a
n
d
e
d
u
ca
to
r
s
,
o
n
th
e
in
te
g
r
ati
o
n
o
f
AI
i
n
m
at
h
e
m
at
ics
e
d
u
c
ati
o
n
,
es
p
ec
i
all
y
f
o
ll
o
w
in
g
t
h
e
i
n
t
r
o
d
u
cti
o
n
o
f
C
h
atG
PT
[
3
3
]
,
[
4
5
]
.
T
h
e
m
et
h
o
d
o
l
o
g
y
p
a
r
t
em
p
l
o
y
e
d
a
q
u
al
itat
iv
e
c
ase
s
t
u
d
y
d
esi
g
n
,
u
n
f
o
ld
in
g
i
n
tw
o
m
a
in
p
h
ases
:
co
n
te
n
t
an
al
y
s
is
o
f
i
n
te
r
v
ie
ws,
f
o
l
lo
we
d
b
y
u
s
er
e
x
p
e
r
i
en
ce
e
x
p
l
o
r
at
i
o
n
[
4
5
]
.
O
n
t
h
e
o
t
h
e
r
h
an
d
,
th
e
r
es
ea
r
c
h
d
esi
g
n
i
n
[
4
5
]
u
til
ize
d
a
m
i
x
ed
-
m
et
h
o
d
s
r
ese
a
r
c
h
d
esi
g
n
,
co
m
b
i
n
i
n
g
q
u
a
n
ti
tat
iv
e
a
n
d
q
u
alit
ati
v
e
a
p
p
r
o
ac
h
es
f
o
r
a
m
o
r
e
h
o
lis
t
ic
e
x
a
m
i
n
at
io
n
o
f
h
o
w
C
h
at
GPT
w
o
u
l
d
af
f
e
ct
m
at
h
e
m
a
tics
e
d
u
ca
ti
o
n
.
B
o
th
s
tu
d
ies
s
h
o
w
th
at
C
h
at
GPT
en
jo
y
s
ad
v
an
ce
d
m
at
h
e
m
atica
l
ca
p
ab
ilit
ies
an
d
d
em
o
n
s
tr
ates
th
e
p
o
ten
tial
f
o
r
im
p
r
o
v
ed
ed
u
ca
tio
n
r
esu
lts
.
I
t
p
r
o
v
id
es
u
s
er
s
with
th
e
b
asics
o
f
m
ath
em
atics
k
n
o
wled
g
e
as
well
as
h
elp
o
n
d
i
v
er
s
e
to
p
ics,
h
av
in
g
all
s
o
r
ts
o
f
ass
is
tan
ce
,
esp
ec
ially
co
n
ce
r
n
in
g
g
e
o
m
etr
y
.
T
h
e
o
v
er
all
s
en
tim
en
t
o
n
s
o
cial
m
ed
ia
to
war
d
s
in
teg
r
atin
g
C
h
atGPT
f
o
r
ed
u
ca
tio
n
al
p
u
r
p
o
s
es,
as
well
as
m
ath
teac
h
in
g
,
is
o
v
er
wh
elm
in
g
ly
p
o
s
itiv
e,
w
ith
g
o
o
d
ex
citem
en
t
o
v
er
its
p
er
ce
iv
ed
b
e
n
ef
its
.
Desp
ite
th
is
en
th
u
s
iasm,
h
o
wev
er
,
s
o
m
e
to
o
k
a
m
o
r
e
c
au
tio
u
s
ap
p
r
o
ac
h
t
o
u
s
in
g
C
h
atGPT
in
ed
u
ca
tio
n
[
4
5
]
.
A
v
ar
iety
o
f
ch
allen
g
es
wer
e
r
ec
o
g
n
ized
in
th
e
s
ec
o
n
d
p
h
ase,
wh
ic
h
f
o
cu
s
ed
o
n
u
s
er
ex
p
er
ien
ce
s
in
th
r
ee
ed
u
ca
tio
n
al
s
ce
n
ar
io
s
.
T
h
e
s
tep
tak
en
in
Su
p
r
iy
ad
i
an
d
Ku
n
co
r
o
[
3
3
]
,
s
tr
o
v
e
to
o
f
f
er
a
p
er
s
p
ec
tiv
e
o
n
th
e
u
s
e
o
f
C
h
at
GPT
in
m
ath
em
atics
ed
u
ca
tio
n
:
it
h
ig
h
lig
h
ts
s
o
m
e
o
f
th
e
p
o
ten
tial
p
o
s
itiv
es
b
u
t
also
p
r
o
v
id
es in
s
ig
h
t i
n
to
s
ig
n
i
f
ican
t d
o
wn
s
id
es a
n
d
n
ee
d
e
d
d
ev
elo
p
m
en
t.
W
a
r
d
a
t
e
t
a
l
.
[
3
2
]
w
a
s
c
o
n
d
u
c
t
e
d
t
o
i
n
v
e
s
t
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g
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t
e
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h
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l
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n
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n
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in
t
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r
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ts
o
f
m
a
t
h
e
m
a
t
i
cs
s
t
u
d
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n
t
s
u
t
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li
z
i
n
g
C
h
a
t
GP
T
,
a
d
o
p
t
i
n
g
a
q
u
a
n
t
i
ta
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v
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s
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r
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v
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m
e
t
h
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g
y
.
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h
i
s
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t
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d
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l
o
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s
s
p
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ll
d
o
m
a
i
n
s
w
a
s
8
0
.
3
3
%
.
B
a
s
e
d
o
n
t
h
e
f
i
n
d
i
n
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u
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i
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n
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g
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a
t
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i
cs
v
i
a
C
h
a
tG
P
T
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s
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v
al
u
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t
e
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“
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e
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d
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i
g
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f
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i
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n
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C
h
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tG
P
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ti
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g
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a
t
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l
to
o
l
f
o
r
m
a
t
h
e
m
a
t
ics
s
t
u
d
e
n
ts
,
h
i
g
h
l
i
g
h
t
i
n
g
it
s
p
o
t
e
n
ti
a
l
t
o
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h
a
n
c
e
le
a
r
n
i
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g
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x
p
e
r
i
en
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e
s
a
n
d
o
u
t
c
o
m
e
s
i
n
t
h
is
f
i
e
l
d
.
Me
an
wh
ile,
Dao
an
d
L
e
[
4
6
]
p
er
f
o
r
m
ed
a
co
m
p
r
e
h
en
s
iv
e
te
s
t
o
n
C
h
atGPT
in
d
ea
lin
g
with
m
u
ltip
le
-
ch
o
ice
m
ath
e
m
atics
q
u
esti
o
n
s
s
o
u
r
ce
d
f
r
o
m
th
e
Vietn
am
e
s
e
n
atio
n
al
h
ig
h
s
ch
o
o
l
g
r
a
d
u
atio
n
e
x
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in
atio
n
(
VNHSGE
)
,
co
n
d
u
ctin
g
test
s
ac
r
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s
s
v
ar
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s
s
u
b
jects
an
d
lev
els
o
f
d
if
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ic
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lty
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T
h
eir
r
esear
ch
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teg
o
r
ize
d
2
5
0
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u
esti
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eg
o
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if
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icu
lty
:
k
n
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wled
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(
K)
;
c
o
m
p
r
e
h
en
s
io
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(
C
)
;
a
p
p
licatio
n
(
A)
,
an
d
h
ig
h
a
p
p
licatio
n
(
H)
,
s
p
a
n
n
in
g
ten
m
ath
em
atica
l
th
em
es.
T
h
e
r
esu
lts
em
p
h
asized
th
at
C
h
atGPT
'
s
v
ar
iab
le
p
er
f
o
r
m
an
ce
h
as
th
e
h
ig
h
est
a
cc
u
r
ac
y
at
8
3
%
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o
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K
q
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t
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ig
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ican
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d
r
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o
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th
e
m
o
s
t c
h
allen
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g
H
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lev
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s
.
I
n
s
im
ilar
r
esear
ch
,
a
n
ex
te
n
s
iv
e
in
q
u
ir
y
[
4
7
]
was
co
n
d
u
cted
in
to
t
h
e
v
ar
i
o
u
s
ap
p
li
ca
tio
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s
o
f
C
h
atGPT
with
in
th
e
f
r
am
ewo
r
k
o
f
Vietn
am
ese
ed
u
ca
tio
n
.
W
h
ile
it
is
ju
s
tifie
d
to
b
e
d
is
cu
s
s
ed
in
v
ar
io
u
s
s
er
ies,
th
is
s
tu
d
y
h
as
id
en
tifi
ed
n
u
m
er
o
u
s
b
e
n
ef
its
th
at
C
h
atGPT
ca
n
o
f
f
er
f
o
r
an
y
o
n
e
in
v
o
l
v
ed
with
th
e
ed
u
ca
tio
n
al
s
tak
eh
o
ld
er
s
,
i
n
c
lu
d
in
g
a
d
m
in
is
tr
ato
r
s
,
teac
h
e
r
s
,
an
d
s
tu
d
en
ts
.
T
h
r
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g
h
T
r
u
o
n
g
,
th
e
wo
r
k
o
f
C
h
atGPT
co
u
ld
b
e
r
e
v
o
lu
tio
n
ized
in
Vietn
am
t
o
r
esh
a
p
e
h
o
w
ed
u
ca
tio
n
wo
r
k
s
with
its
p
o
ten
tial
f
o
r
a
s
ig
n
if
ican
t o
v
er
h
au
l,
em
e
r
g
in
g
as n
ew
lear
n
in
g
a
n
d
teac
h
i
n
g
m
eth
o
d
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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t J Ar
tif
I
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tell
I
SS
N:
2252
-
8
9
3
8
A
s
u
r
ve
y
o
n
leve
r
a
g
in
g
a
r
tifi
cia
l in
tellig
en
ce
to
o
ls
fo
r
en
h
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n
cin
g
a
d
v
a
n
ce
d
…
(
Ha
d
ee
l N.
A
b
o
s
a
o
o
d
a
)
79
Ap
ar
t
f
r
o
m
t
h
at,
m
a
n
y
r
esear
ch
es
illu
m
in
ated
th
e
s
u
b
s
tan
tial
r
o
les
AI
b
o
ts
,
s
u
ch
as
C
h
atGPT
,
m
ay
p
lay
in
en
h
an
cin
g
lin
ea
r
alg
eb
r
a
in
s
tr
u
ctio
n
[
2
8
]
–
[
3
0
]
,
[
4
8
]
.
B
y
u
s
in
g
a
v
ar
iety
o
f
ass
ess
m
en
t
m
eth
o
d
s
,
m
ak
in
g
s
u
r
e
th
e
y
ar
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co
m
m
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n
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p
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ly
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d
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ei
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g
ap
p
r
o
ac
h
ab
le
a
b
o
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t
p
o
ten
tial
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s
u
es,
as
well
as
r
ec
eiv
in
g
th
e
o
p
p
o
r
tu
n
ity
to
r
esu
b
m
it
ass
es
s
ed
wo
r
k
with
co
n
s
tr
u
ctiv
e
f
ee
d
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ac
k
,
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wh
er
e
th
ese
k
in
d
s
o
f
AI
to
o
ls
ca
n
en
ab
le
m
o
r
e
f
air
n
ess
in
m
ar
k
i
n
g
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AI
b
o
ts
m
ay
f
ac
il
itate
b
asic
ca
lcu
latio
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s
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d
task
s
to
f
r
ee
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e
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ts
f
r
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th
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u
to
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ated
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tin
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n
d
o
p
e
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atio
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al
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f
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ty
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e
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o
f
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tiv
ities
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s
o
th
at
th
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ag
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n
s
o
lv
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m
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e
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p
r
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s
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will
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t
o
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ly
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k
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h
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C
h
a
t
G
P
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s
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b
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l
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t
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m
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t
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s
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q
u
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d
t
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w
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h
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t
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p
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n
v
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v
e
d
i
n
r
e
a
c
h
i
n
g
a
s
o
l
u
t
i
o
n
[
4
9
]
–
[
5
3
]
.
T
h
e
y
c
o
n
d
u
c
t
e
d
a
s
t
u
d
y
t
h
a
t
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d
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c
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h
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a
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s
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u
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-
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o
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y
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d
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p
l
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c
a
b
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l
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t
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A
I
r
e
s
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r
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h
,
w
h
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s
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n
t
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a
l
t
o
b
e
t
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a
n
d
b
o
t
h
t
h
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s
t
r
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n
g
t
h
s
a
n
d
l
i
m
i
t
a
t
i
o
n
s
o
f
C
h
a
t
G
P
T
a
n
d
s
i
m
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l
a
r
A
I
t
o
o
l
s
w
i
t
h
e
d
u
c
a
t
i
o
n
a
l
a
p
p
l
i
c
a
t
i
o
n
s
[
3
1
]
,
[
5
2
]
.
3.
T
H
E
T
RANSF
O
R
M
A
T
I
V
E
ADVA
N
T
AG
E
S O
F
CH
A
T
G
P
T
I
N
E
D
UCA
T
I
O
N
AND
P
RO
B
L
E
M
SO
L
VI
NG
Yeo
et
a
l
.
[
4
3
]
s
tr
ess
ed
th
e
m
ajo
r
b
e
n
ef
its
th
er
eo
f
in
m
ath
e
m
atics
ed
u
ca
tio
n
u
s
in
g
C
h
atG
PT.
W
ith
its
p
o
wer
f
u
l
NL
P
ca
p
ab
ilit
ie
s
,
C
h
atGPT
d
ec
ip
h
er
s
s
tu
d
en
ts
'
q
u
er
ies
in
p
lain
h
u
m
an
tex
t
an
d
co
n
d
u
cts
d
ialo
g
u
es
to
p
r
o
v
id
e
p
er
s
o
n
a
lized
ex
p
lan
atio
n
s
an
d
f
ee
d
b
ac
k
.
T
h
is
h
elp
s
in
h
an
d
lin
g
a
lo
t
o
f
co
m
p
lex
m
ath
em
atica
l
is
s
u
es,
wh
ich
e
n
h
an
ce
s
th
e
lear
n
in
g
a
n
d
also
m
ak
es
it
q
u
ite
in
ter
ac
tiv
e,
h
en
ce
in
f
lu
en
c
es
as
well
b
ec
au
s
e
o
f
its
NL
P
s
u
p
p
o
r
t.
Su
c
h
s
u
p
p
o
r
t
is
in
d
is
p
en
s
ab
le,
en
s
u
r
in
g
ev
e
r
y
lear
n
e
r
h
as
ac
ce
s
s
to
th
e
n
ec
ess
ar
y
g
u
id
an
ce
an
d
ass
is
tan
ce
.
W
h
ils
t
B
o
r
b
a
an
d
J
u
n
io
r
[
4
4
]
s
h
o
ws
th
at
C
h
atGPT
is
ab
le
to
n
o
t
o
n
ly
p
r
o
v
i
d
e
ac
cu
r
ate
m
at
h
em
atica
l
s
o
lu
tio
n
s
b
u
t
also
elab
o
r
ate
s
o
lu
tio
n
s
in
a
d
etailed
y
et
in
te
r
p
r
etab
le
way
.
T
h
is
p
a
r
ticu
lar
ex
am
p
le
r
ein
f
o
r
ce
s
th
e
clea
r
,
q
u
esti
o
n
in
g
s
ty
le
o
f
th
e
m
o
d
el
f
o
r
p
r
esen
tin
g
s
tep
s
d
u
r
in
g
th
e
r
eso
lu
tio
n
o
f
p
r
o
b
lem
s
co
n
ce
r
n
in
g
f
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h
e
r
esp
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o
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atin
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h
atGPT
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d
in
teg
r
atin
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cu
ttin
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-
ed
g
e
tech
n
o
l
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ies
[
3
3
]
.
Vir
tu
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d
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g
m
e
n
ted
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lity
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e
en
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atica
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i
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c
ti
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-
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B
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o
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o
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g
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e
c
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r
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t
f
o
cu
s
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c
o
m
p
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t
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o
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t
h
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n
k
in
g
as
an
es
s
en
t
ial
2
1
st
-
ce
n
t
u
r
y
s
k
il
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is
a
c
lea
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i
g
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ely
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a
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d
l
ea
r
n
i
n
g
.
Sp
r
eitze
r
et
a
l
.
[
2
6
]
co
n
cl
u
d
e
d
th
at
C
h
atGPT
ap
p
ea
r
s
to
b
e
m
o
s
t
u
s
ef
u
l
as
a
m
ath
em
atic
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ass
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s
tan
t
f
o
r
f
ac
t
-
b
ased
q
u
esti
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,
ess
en
tially
f
u
n
ctio
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i
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g
as
a
m
a
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ch
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Fu
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I
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Ho
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ab
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Su
p
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Ku
n
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o
[
3
3
]
s
u
g
g
ested
s
ev
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cr
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f
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f
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T
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f
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r
th
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eth
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s
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Evaluation Warning : The document was created with Spire.PDF for Python.
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80
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I
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in
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th
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ch
atb
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in
an
ac
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m
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n
t.
T
h
e
an
aly
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is
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en
ts
’
lear
n
in
g
in
ter
ests
with
in
W
ar
d
at
et
a
l
.
[
3
2
]
s
h
o
ws
th
at
all
d
im
en
s
io
n
s
f
all
with
in
th
e
ca
teg
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T
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r
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o
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in
to
h
ig
h
s
ch
o
o
l
m
ath
em
atics
[
4
6
]
,
[
4
7
]
.
B
ased
o
n
th
e
r
esear
ch
co
n
d
u
cted
b
y
th
e
au
th
o
r
s
,
it
is
ev
id
en
t
th
at
C
h
atGPT
h
as
tr
em
en
d
o
u
s
p
o
ten
tial
to
in
cr
ea
s
e
lear
n
in
g
an
d
p
r
o
v
id
e
in
d
i
v
id
u
al
co
m
m
u
n
icatio
n
.
I
t
h
el
p
s
to
s
h
o
w
th
at
th
e
u
tili
za
tio
n
o
f
tech
n
o
lo
g
y
f
o
r
ed
u
ca
tio
n
in
th
e
u
p
d
ated
v
e
r
s
io
n
co
u
ld
m
o
d
er
n
ize
Vietn
am
ese
h
ig
h
s
ch
o
o
ls
in
ter
m
s
o
f
lear
n
in
g
.
I
t
m
a
y
p
r
o
v
id
e
p
e
r
s
o
n
alize
d
in
s
tr
u
ctio
n
an
d
ca
p
tu
r
e
th
e
in
ter
est
o
f
th
e
s
tu
d
en
ts
th
r
o
u
g
h
in
ter
ac
tiv
e
an
d
tech
n
o
lo
g
ically
ad
v
an
ce
d
f
o
r
m
s
o
f
c
o
m
m
u
n
icatio
n
.
Dy
d
a
k
[
4
8
]
s
h
ed
s
lig
h
t
o
n
th
e
p
o
ten
tial
o
f
AI
b
o
ts
to
r
e
v
o
lu
tio
n
ize
t
h
e
T
n
L
o
f
lin
ea
r
alg
eb
r
a,
n
o
t
o
n
ly
b
y
au
g
m
en
tin
g
th
e
lo
g
is
tical
asp
ec
ts
o
f
ed
u
ca
tio
n
b
u
t
also
b
y
en
r
ich
in
g
th
e
p
e
d
ag
o
g
ical
ex
p
e
r
ien
ce
.
T
h
r
o
u
g
h
ca
r
ef
u
l
im
p
lem
en
tatio
n
,
AI
b
o
ts
ca
n
en
h
an
ce
ed
u
ca
tio
n
al
o
u
tco
m
es,
p
r
o
m
o
t
e
ef
f
icien
cy
,
a
n
d
f
o
s
ter
ess
en
tial h
ig
h
er
-
o
r
d
e
r
th
in
k
i
n
g
s
k
ills
am
o
n
g
s
tu
d
e
n
ts
.
I
n
d
ee
d
,
s
o
m
e
r
esear
ch
er
s
p
o
i
n
ted
o
u
t
th
at
th
e
r
is
e
o
f
AI
b
o
ts
o
f
f
e
r
s
a
u
n
iq
u
e
c
h
an
ce
to
b
o
ls
ter
cr
itical
th
in
k
in
g
with
in
ed
u
ca
t
io
n
al
s
ettin
g
s
[
2
8
]
–
[
3
0
]
,
[
4
8
]
.
At
th
e
s
am
e
tim
e,
th
e
f
ac
t
th
at
th
ese
tech
n
o
lo
g
ies
o
cc
asio
n
ally
o
f
f
e
r
in
co
r
r
ec
t so
lu
tio
n
s
allo
ws ed
u
ca
to
r
s
to
u
s
e
th
ese
m
is
tak
es a
s
ex
am
p
les.
T
h
is
m
eth
o
d
ca
n
b
e
u
s
ed
b
y
teac
h
er
s
to
teac
h
th
e
ir
s
tu
d
en
ts
h
o
w
to
ass
es
s
th
e
ac
cu
r
ac
y
o
f
in
f
o
r
m
atio
n
,
d
es
p
ite
h
o
w
ad
v
an
ce
d
s
u
ch
in
f
o
r
m
atio
n
is
.
T
h
is
im
p
lies
th
at
th
is
m
eth
o
d
h
as
a
s
tr
o
n
g
f
o
c
u
s
o
n
d
e
v
elo
p
in
g
c
r
itical
th
in
k
in
g
s
k
ills
,
wh
ich
ar
e
ess
en
tial
n
o
t
o
n
ly
f
o
r
ac
ad
e
m
ic
ac
h
iev
e
m
en
ts
b
u
t
also
f
o
r
s
u
cc
ess
in
g
en
er
al.
T
h
e
in
teg
r
atio
n
o
f
AI
b
o
ts
in
to
th
e
teac
h
in
g
o
f
lin
e
ar
alg
eb
r
a
an
d
p
o
te
n
tially
o
t
h
er
s
u
b
jects
is
s
ee
n
as
a
wa
y
to
n
o
t
o
n
ly
m
a
k
e
ed
u
ca
tio
n
al
p
r
o
ce
s
s
es
m
o
r
e
ef
f
icien
t
b
u
t
also
s
ig
n
if
ican
tly
i
m
p
r
o
v
e
th
e
lear
n
i
n
g
ex
p
er
ien
ce
.
B
y
d
o
in
g
s
o
,
it
p
r
ep
ar
es
s
tu
d
e
n
ts
with
th
e
ess
en
tial
cr
itical
th
in
k
in
g
s
k
ills
n
ee
d
ed
to
ef
f
ec
tiv
ely
n
a
v
ig
ate
an
d
en
g
ag
e
with
th
e
in
cr
ea
s
in
g
ly
d
ig
ital a
n
d
AI
-
in
t
eg
r
ated
wo
r
l
d
ar
o
u
n
d
t
h
em
.
F
i
n
a
l
l
y
,
r
e
s
e
a
r
c
h
i
n
[
3
1
]
,
[
3
2
]
d
e
m
o
n
s
t
r
a
t
e
d
t
h
a
t
C
h
a
t
G
P
T
'
s
u
n
d
e
r
s
t
a
n
d
i
n
g
o
f
t
h
e
p
l
a
c
e
v
a
l
u
e
s
y
s
t
e
m
f
o
r
n
u
m
b
e
r
s
i
n
m
a
t
h
e
m
a
t
i
c
s
w
o
r
d
p
r
o
b
l
e
m
s
o
l
u
t
i
o
n
s
i
s
c
r
i
t
i
c
a
l
.
T
h
e
f
i
n
d
i
n
g
s
s
h
o
w
e
d
t
h
a
t
t
h
e
a
c
c
u
r
a
c
y
o
f
o
r
d
e
r
i
n
g
p
e
r
m
u
t
a
t
i
o
n
m
u
l
t
i
p
l
e
t
s
w
a
s
g
e
n
e
r
a
l
l
y
l
o
w
e
r
t
h
a
n
t
h
a
t
o
f
t
h
e
s
o
u
r
c
e
m
u
l
t
i
p
l
e
t
s
.
A
d
d
i
t
i
o
n
a
l
l
y
,
i
t
w
a
s
o
b
s
e
r
v
e
d
t
h
a
t
a
s
t
h
e
n
u
m
b
e
r
o
f
e
l
e
m
e
n
t
s
i
n
t
h
e
s
o
u
r
c
e
m
u
l
t
i
p
l
e
t
i
n
c
r
e
a
s
e
d
,
t
h
e
d
i
f
f
e
r
e
n
c
e
i
n
o
r
d
e
r
i
n
g
a
c
c
u
r
a
c
y
b
e
t
w
e
e
n
t
h
e
s
o
u
r
c
e
m
u
l
t
i
p
l
e
t
a
n
d
t
h
e
p
e
r
m
u
t
a
t
i
o
n
m
u
l
t
i
p
l
e
t
a
l
s
o
g
r
e
w
.
H
e
r
e
,
u
n
d
e
r
s
t
a
n
d
i
n
g
p
l
a
c
e
v
a
l
u
e
i
n
f
l
u
e
n
c
e
s
t
h
e
a
c
c
u
r
a
c
y
o
f
a
r
i
t
h
m
e
t
i
c
p
r
o
b
l
e
m
-
s
o
l
v
i
n
g
a
n
d
i
s
v
i
t
a
l
f
o
r
i
m
p
r
o
v
i
n
g
C
h
a
t
G
P
T
’
s
a
b
i
l
i
t
y
t
o
s
o
l
v
e
m
a
t
h
e
m
a
t
i
c
a
l
p
r
o
b
l
e
m
s
.
4.
CH
AL
L
E
NG
E
S
AN
D
CO
N
SI
D
E
RA
T
I
O
NS
I
N
L
E
V
E
R
AG
I
NG
CH
AT
G
P
T
F
O
R
ADVA
NC
E
D
M
AT
H
E
M
AT
I
CA
L
E
DU
C
AT
I
O
N
AN
D
P
RO
B
L
E
M
S
O
L
VING
A
s
t
u
d
y
r
e
v
e
a
l
s
t
h
a
t
t
h
e
i
n
c
o
r
p
o
r
a
t
i
o
n
o
f
A
I
t
o
o
l
s
l
i
k
e
C
h
a
t
G
P
T
i
n
t
h
e
e
d
u
c
a
t
i
o
n
s
e
c
t
o
r
f
a
c
e
s
s
e
v
e
r
a
l
i
s
s
u
e
s
[
4
2
]
.
T
h
e
r
e
i
s
a
p
o
s
s
i
b
i
l
i
t
y
t
h
a
t
s
t
u
d
e
n
t
s
m
a
y
b
e
c
o
m
e
o
v
e
r
-
d
e
p
e
n
d
e
n
t
o
n
A
I
.
C
o
n
s
e
q
u
e
n
t
l
y
,
t
h
e
i
r
a
b
i
l
i
t
y
t
o
r
e
a
s
o
n
,
t
h
i
n
k
a
n
d
u
n
d
e
r
s
t
a
n
d
p
r
o
b
l
e
m
s
l
o
g
i
c
a
l
l
y
m
a
y
b
e
u
n
d
e
r
m
i
n
e
d
.
A
n
o
t
h
e
r
i
s
s
u
e
l
i
k
e
l
y
t
o
e
m
e
r
g
e
i
s
t
h
a
t
e
v
e
n
w
i
t
h
a
d
e
q
u
a
t
e
t
r
a
i
n
i
n
g
,
A
I
l
a
c
k
s
e
m
o
t
i
o
n
a
l
i
n
t
e
l
l
i
g
e
n
c
e
,
w
h
i
c
h
i
s
i
m
p
o
r
t
a
n
t
i
n
m
o
t
i
v
a
t
i
n
g
a
n
d
m
a
k
i
n
g
t
h
e
l
e
a
r
n
e
r
u
n
d
e
r
s
t
a
n
d
t
h
e
c
o
n
t
e
n
t
b
e
i
n
g
t
a
u
g
h
t
.
T
h
e
i
s
s
u
e
s
o
f
d
a
t
a
p
r
i
v
a
c
y
,
t
h
e
n
e
e
d
t
o
c
h
e
c
k
t
h
e
s
o
l
u
t
i
o
n
s
A
I
p
r
o
v
i
d
e
s
,
t
e
a
c
h
e
r
s
’
r
e
s
p
o
n
s
e
s
,
a
n
d
t
h
e
p
r
e
v
e
n
t
i
o
n
o
f
e
s
s
e
n
t
i
a
l
c
o
g
n
i
t
i
v
e
s
k
i
l
l
s
d
e
v
e
l
o
p
m
e
n
t
u
r
g
e
a
c
a
u
t
i
o
u
s
a
p
p
r
o
a
c
h
t
o
t
h
e
i
m
p
l
e
m
e
n
t
a
t
i
o
n
o
f
A
I
i
n
e
d
u
c
a
t
i
o
n
.
H
o
w
e
v
e
r
,
t
o
e
n
s
u
r
e
t
h
a
t
l
e
a
r
n
i
n
g
o
u
t
c
o
m
e
s
a
r
e
i
m
p
r
o
v
e
d
w
i
t
h
t
h
e
i
n
c
o
r
p
o
r
a
t
i
o
n
o
f
A
I
t
o
o
l
s
l
i
k
e
C
h
a
t
G
P
T
,
s
o
m
e
o
f
t
h
e
i
s
s
u
e
s
m
e
n
t
i
o
n
e
d
a
b
o
v
e
m
u
s
t
b
e
d
i
s
c
u
s
s
e
d
a
n
d
a
d
d
r
e
s
s
e
d
t
o
a
n
e
x
t
e
n
t
[
4
3
]
.
B
o
r
b
a
an
d
J
u
n
io
r
[
4
4
]
d
escr
ib
es
th
e
ad
v
an
tag
es
a
n
d
d
is
ad
v
an
tag
es
o
f
u
s
in
g
C
h
atGPT
in
m
ath
em
atics
ed
u
ca
tio
n
.
Ma
n
y
d
is
ad
v
an
tag
es
ex
is
t,
s
u
ch
as
p
lag
iar
is
m
is
s
u
es,
s
in
ce
t
h
e
to
o
l
wo
r
k
s
with
n
atu
r
al
lan
g
u
a
g
e.
Ho
wev
er
,
w
h
en
it
co
m
es
to
th
e
ad
v
an
tag
e
s
,
C
h
atGPT
is
ca
p
ab
le
o
f
b
ec
o
m
in
g
an
ef
f
ec
tiv
e
ed
u
ca
tio
n
al
to
o
l
b
y
cr
ea
ti
n
g
in
d
iv
i
d
u
al
task
s
d
ep
en
d
in
g
o
n
th
e
s
tu
d
en
t’
s
lev
el
o
f
p
r
e
p
ar
atio
n
.
T
aa
n
i
an
d
Alab
id
i
[
3
4
]
,
o
n
th
e
r
o
le
o
f
C
h
atGPT
in
ed
u
ca
ti
o
n
,
p
r
o
p
o
s
es
th
at
t
h
e
in
a
b
ilit
y
o
f
r
o
b
o
ts
an
d
A
I
to
r
ep
lace
h
u
m
an
ed
u
ca
to
r
s
is
g
e
n
er
al
an
d
v
alid
f
o
r
a
p
ar
ticu
la
r
ed
u
ca
tio
n
al
c
o
n
tex
t.
No
te
t
h
at
h
u
m
a
n
e
d
u
ca
to
r
s
ar
e
ess
en
tial
in
th
e
lear
n
in
g
en
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tr
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teac
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tech
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iq
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h
is
m
ig
h
t
cr
ea
te
a
n
ess
en
tial
b
alan
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etwe
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o
v
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an
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d
ig
ital e
r
a.
T
h
e
r
e
s
e
a
r
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h
i
n
[
4
6
]
,
[
4
7
]
a
r
g
u
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d
t
h
a
t
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n
t
e
g
r
a
t
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V
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t
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d
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p
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d
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o
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a
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h
n
o
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y
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a
c
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t
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s
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.
5.
DIS
CU
SS
I
O
N
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h
is
s
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tio
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co
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s
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lid
ates
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lear
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d
p
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b
lem
-
s
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lv
in
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.
B
ey
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m
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,
it
ad
d
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b
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s
o
f
th
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f
in
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.
I
t a
ls
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is
cu
s
s
es th
e
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an
d
p
o
ten
tial
ar
ea
s
f
o
r
f
u
tu
r
e
r
esear
ch
.
5
.
1
.
I
nv
estig
a
t
i
o
n o
f
us
er
ex
perience
s
R
esear
ch
f
r
o
m
d
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u
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ag
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t
an
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p
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r
s
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n
alize
d
f
ee
d
b
ac
k
[
3
3
]
,
[
4
5
]
.
Ho
wev
er
,
wh
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th
e
b
en
e
f
its
o
f
tailo
r
ed
f
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ter
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'
in
d
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d
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b
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-
s
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lv
in
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ab
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E
x
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AI
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cr
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th
in
k
in
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wh
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s
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.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2
2
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I
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5
.
2
.
Cha
t
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's
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nced
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a
t
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a
t
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l c
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pa
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it
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T
h
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ca
p
ab
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o
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C
h
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to
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co
m
p
lex
m
ath
e
m
atica
l
co
n
ce
p
ts
ef
f
ec
tiv
ely
[
4
3
]
,
[
4
4
]
,
u
n
d
er
s
co
r
es
its
u
tili
ty
in
h
elp
in
g
s
tu
d
e
n
ts
g
r
asp
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if
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t
o
p
ics.
Yet,
th
is
e
n
h
an
ce
d
ca
p
ab
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also
b
r
in
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s
ch
allen
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wh
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wel
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tu
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en
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ter
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alize
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x
p
lan
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s
.
I
n
th
e
f
u
tu
r
e,
r
esear
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ld
in
v
esti
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ter
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AI
s
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tem
s
ca
n
p
r
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m
o
te
ac
tiv
e
lear
n
in
g
tech
n
iq
u
es,
s
u
ch
as
en
co
u
r
a
g
in
g
s
tu
d
en
ts
to
ask
r
ef
lectiv
e
q
u
esti
o
n
s
o
r
en
g
a
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e
in
s
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co
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en
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o
f
m
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in
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5
.
3
.
Cha
t
G
P
T
's
ro
le
in s
o
lv
ing
m
a
t
he
m
a
t
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l pro
blem
s
Fin
d
i
n
g
s
r
e
v
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al
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at
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h
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tGPT
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s
ac
cu
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th
e
m
at
h
em
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c
al
d
o
m
ai
n
an
d
t
h
e
c
o
m
p
l
ex
it
y
o
f
th
e
p
r
o
b
le
m
[
4
6
]
.
T
h
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v
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r
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ab
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y
h
i
g
h
li
g
h
ts
t
h
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r
r
e
n
t
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o
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s
o
f
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i
n
h
a
n
d
li
n
g
ad
v
a
n
ce
d
m
a
th
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ca
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l
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m
-
s
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l
v
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,
es
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ec
i
all
y
wit
h
a
b
s
tr
a
ct
o
r
m
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l
tis
t
ep
p
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o
b
l
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s
.
W
h
ile
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ch
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v
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im
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s
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C
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T
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s
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d
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m
p
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n
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v
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A
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p
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w
AI
ca
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p
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m
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t
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f
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r
c
o
m
p
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x
m
at
h
em
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ca
l
t
o
p
ics
.
5
.
4
.
I
m
pli
ca
t
i
o
ns
o
f
u
s
ing
Cha
t
G
P
T
in
m
a
t
hem
a
t
ics educa
t
io
n
T
h
e
in
te
g
r
at
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n
o
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C
h
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PT
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n
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d
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c
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s
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s
u
ch
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o
we
v
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,
th
is
a
ls
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AI
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f
tr
ad
i
ti
o
n
al
te
ac
h
i
n
g
m
et
h
o
d
s
[
3
2
]
.
Sc
h
o
o
ls
m
u
s
t
n
a
v
i
g
at
e
th
ese
is
s
u
es
c
ar
ef
u
l
ly
b
y
im
p
le
m
e
n
t
in
g
et
h
i
ca
l
g
u
i
d
el
in
es
an
d
p
r
o
m
o
t
in
g
d
i
g
it
al
e
q
u
it
y
.
I
n
t
h
e
f
u
t
u
r
e,
e
d
u
c
at
o
r
s
an
d
p
o
l
ic
y
m
a
k
e
r
s
will
n
e
ed
t
o
e
x
p
l
o
r
e
h
o
w
AI
ca
n
b
e
d
ep
lo
y
ed
t
o
b
r
id
g
e
g
a
p
s
i
n
ac
ce
s
s
to
e
d
u
ca
ti
o
n
r
at
h
e
r
t
h
an
e
x
a
ce
r
b
ate
t
h
e
m
,
p
a
r
ti
c
u
la
r
l
y
in
u
n
d
er
-
r
es
o
u
r
ce
d
o
r
r
u
r
al
a
r
e
as
wh
e
r
e
te
ch
n
o
l
o
g
ical
i
n
f
r
ast
r
u
ct
u
r
e
m
ay
b
e
la
ck
i
n
g
.
5
.
5
.
T
he
f
uture
o
f
m
a
t
he
m
a
t
ics educa
t
io
n
wit
h Cha
t
G
P
T
T
h
e
tr
an
s
f
o
r
m
ativ
e
p
o
ten
tial
o
f
C
h
atGPT
in
ed
u
ca
tio
n
is
ev
id
en
t,
b
u
t
its
im
p
lem
en
tatio
n
w
ill
r
eq
u
ir
e
a
ca
r
ef
u
l
b
alan
ce
b
etwe
en
tec
h
n
o
lo
g
y
an
d
t
r
ad
itio
n
al
p
e
d
ag
o
g
y
.
E
x
is
tin
g
r
esear
ch
s
u
g
g
es
ts
th
at
th
e
f
u
tu
r
e
o
f
m
ath
em
atics
ed
u
ca
tio
n
will
b
e
d
ef
in
e
d
b
y
a
b
len
d
o
f
co
m
p
u
tatio
n
al
th
in
k
in
g
,
cr
itical
p
r
o
b
lem
-
s
o
lv
in
g
,
an
d
in
ter
d
is
cip
lin
ar
y
c
o
n
n
ec
tio
n
s
[
4
4
]
.
Ho
wev
er
,
it
is
ess
en
tial
to
r
ec
o
g
n
ize
th
at
AI
is
o
n
ly
as
ef
f
ec
tiv
e
as
t
h
e
ed
u
ca
to
r
s
an
d
s
tu
d
en
ts
wh
o
u
s
e
it.
T
h
e
s
u
cc
ess
o
f
AI
to
o
ls
lik
e
C
h
atGPT
will
d
ep
en
d
o
n
co
n
tin
u
e
d
p
r
o
f
ess
io
n
al
d
ev
elo
p
m
en
t
f
o
r
teac
h
er
s
an
d
a
th
o
u
g
h
tf
u
l
ap
p
r
o
ac
h
to
i
n
teg
r
atin
g
th
ese
t
o
o
ls
in
to
cu
r
r
icu
lu
m
.
Fu
tu
r
e
r
esear
ch
s
h
o
u
ld
e
x
am
i
n
e
h
o
w
to
b
est
tr
ain
ed
u
ca
to
r
s
to
u
s
e
AI
to
o
ls
ef
f
ec
tiv
ely
an
d
ex
p
lo
r
e
s
tr
ateg
ies
f
o
r
co
m
b
in
in
g
AI
with
h
a
n
d
s
-
o
n
lear
n
in
g
ex
p
er
ien
ce
s
to
f
o
s
ter
d
ee
p
er
en
g
a
g
em
en
t a
n
d
cr
it
ical
th
in
k
in
g
.
5
.
6
.
E
x
plo
ring
t
he
ca
p
a
bil
it
i
es o
f
Cha
t
G
P
T
in
m
a
t
hema
t
i
ca
l m
o
delin
g
T
h
e
an
aly
s
is
an
d
s
y
n
th
esis
o
f
o
u
tc
o
m
es
f
r
o
m
th
e
c
h
o
s
e
n
s
tu
d
ies
s
u
g
g
est
th
at
C
h
atGPT
h
as
a
s
ig
n
if
ican
t
p
o
s
itiv
e
im
p
ac
t
o
n
th
e
lear
n
in
g
o
f
m
ath
em
atics.
T
h
e
to
o
l
is
b
en
e
f
icial
in
ter
m
s
o
f
in
d
iv
id
u
alizin
g
in
s
tr
u
ctio
n
f
o
r
ea
ch
s
tu
d
e
n
t.
T
h
u
s
,
u
s
in
g
th
e
to
o
l
in
teac
h
in
g
ca
n
f
o
s
ter
c
r
itical
th
in
k
in
g
an
d
th
e
d
e
v
elo
p
m
e
n
t
o
f
p
r
o
b
lem
-
s
o
lv
in
g
s
k
ills
.
T
h
e
r
esear
ch
in
[
3
3
]
,
[
4
3
]
s
h
o
wca
s
ed
C
h
atGPT
'
s
ef
f
ec
tiv
e
n
ess
in
d
ev
elo
p
in
g
alter
n
ativ
e
p
r
o
b
lem
-
s
o
lv
in
g
s
tr
ateg
ies,
wh
ich
is
co
n
s
is
ten
t
with
its
ca
p
ab
ilit
ies
f
o
r
s
u
p
p
o
r
tin
g
m
ath
em
atica
l
m
o
d
ellin
g
.
C
h
atGPT
to
o
l
o
f
f
e
r
s
v
alu
ab
le
aid
r
eg
ar
d
i
n
g
th
e
p
r
o
ce
s
s
o
f
cr
ea
tin
g
th
e
m
o
d
el
.
T
h
e
an
aly
s
is
an
d
in
ter
p
r
etatio
n
o
f
th
e
s
p
ec
if
ied
o
p
tio
n
is
a
v
ital
p
ar
t
o
f
th
e
to
o
l
th
at
lear
n
er
s
a
n
d
r
esear
ch
er
s
ca
n
u
s
e
to
d
esig
n
m
o
d
els th
at
s
im
u
late
r
ea
l
-
life
s
itu
atio
n
s
.
I
n
o
t
h
e
r
w
o
r
d
s
,
t
h
e
C
h
atGP
T
t
o
o
l
ca
n
b
e
d
e
f
i
n
e
d
as
a
d
e
v
i
ce
th
a
t
c
o
n
n
ec
ts
l
ea
r
n
e
r
s
a
n
d
r
es
e
ar
ch
er
s
t
o
h
i
g
h
-
en
d
m
at
h
e
m
at
ica
l
t
o
o
ls
.
As
a
r
esu
lt,
t
h
e
s
p
ec
if
i
e
d
a
p
p
r
o
a
ch
c
an
b
e
s
ee
n
as a
c
o
n
c
er
n
ed
u
n
d
e
r
s
t
an
d
i
n
g
an
d
a
cr
o
s
s
-
d
is
ci
p
l
in
ar
y
a
p
p
r
o
ac
h
to
i
n
c
r
e
ase
t
h
e
l
ev
el
o
f
s
k
ills
i
n
c
o
m
p
u
ta
ti
o
n
al
p
r
o
c
ess
es
.
I
t
in
s
p
i
r
es
a
r
a
n
g
e
o
f
cr
ea
ti
v
e
a
p
p
r
o
a
ch
es
t
o
e
d
u
ca
ti
o
n
al
an
d
p
r
o
f
ess
i
o
n
a
l
n
ee
d
s
.
F
u
r
th
e
r
m
o
r
e
,
it
is
a
p
r
o
g
r
ess
iv
e
ap
p
r
o
ac
h
s
i
n
c
e
t
h
e
C
h
atG
PT
to
o
l
is
c
o
n
s
id
e
r
e
d
t
o
b
e
a
d
ev
ice
t
h
a
t e
x
t
e
n
d
s
t
h
e
i
n
f
o
r
m
a
ti
o
n
t
ec
h
n
o
l
o
g
y
p
o
s
s
i
b
ili
t
ies i
n
o
r
d
e
r
t
o
h
el
p
u
s
e
r
s
ac
h
i
ev
e
e
x
p
er
ie
n
c
e
an
d
k
n
o
wle
d
g
e
a
im
ed
t
o
p
r
e
p
ar
e
t
h
e
m
f
o
r
s
u
cc
ess
in
o
u
r
h
ig
h
l
y
c
o
m
p
lic
ate
d
w
o
r
ld
.
6.
I
M
P
L
I
CA
T
I
O
N
S AN
D
F
U
T
URE DI
RE
C
T
I
O
N
S
T
h
e
f
i
n
d
i
n
g
s
o
f
t
h
i
s
p
a
p
e
r
i
n
d
i
c
a
t
e
t
h
a
t
C
h
a
t
G
P
T
h
a
s
s
i
g
n
i
f
i
c
a
n
t
p
o
t
e
n
t
i
a
l
t
o
e
n
h
a
n
c
e
m
a
t
h
e
m
a
t
i
c
s
e
d
u
c
a
t
i
o
n
b
y
p
r
o
m
o
t
i
n
g
p
e
r
s
o
n
a
l
i
z
e
d
l
e
a
r
n
i
n
g
a
n
d
f
a
c
i
l
i
t
a
t
i
n
g
c
o
m
p
l
e
x
p
r
o
b
l
e
m
-
s
o
l
v
i
n
g
.
H
o
w
e
v
e
r
,
s
e
v
e
r
a
l
c
h
a
l
l
e
n
g
e
s
a
n
d
o
p
e
n
q
u
e
s
t
i
o
n
s
r
e
m
a
i
n
.
T
h
e
v
a
r
i
a
b
i
l
i
t
y
i
n
C
h
a
t
G
P
T
'
s
p
e
r
f
o
r
m
a
n
c
e
,
p
a
r
t
i
c
u
l
a
r
l
y
i
n
h
a
n
d
l
i
n
g
m
o
r
e
c
o
m
p
l
e
x
m
a
t
h
e
m
a
t
i
c
a
l
p
r
o
b
l
e
m
s
,
p
o
i
n
t
s
t
o
t
h
e
n
e
e
d
f
o
r
o
n
g
o
i
n
g
i
m
p
r
o
v
e
m
e
n
t
s
i
n
A
I
a
l
g
o
r
i
t
h
m
s
.
A
d
d
i
t
i
o
n
a
l
l
y
,
t
h
e
p
o
t
e
n
t
i
a
l
f
o
r
o
v
e
r
-
r
e
l
i
a
n
c
e
o
n
A
I
a
n
d
t
h
e
e
t
h
i
c
a
l
i
m
p
l
i
c
a
t
i
o
n
s
o
f
i
t
s
u
s
e
i
n
e
d
u
c
a
t
i
o
n
r
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q
u
i
r
e
c
a
r
e
f
u
l
c
o
n
s
i
d
e
r
a
t
i
o
n
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2252
-
8
9
3
8
A
s
u
r
ve
y
o
n
leve
r
a
g
in
g
a
r
tifi
cia
l in
tellig
en
ce
to
o
ls
fo
r
en
h
a
n
cin
g
a
d
v
a
n
ce
d
…
(
Ha
d
ee
l N.
A
b
o
s
a
o
o
d
a
)
83
I
n
th
e
f
u
tu
r
e,
e
d
u
ca
to
r
s
a
n
d
r
esear
ch
er
s
s
h
o
u
ld
f
o
c
u
s
o
n
h
o
w
to
m
ax
im
ize
th
e
b
en
ef
its
o
f
AI
wh
ile
m
itig
atin
g
its
r
is
k
s
.
T
h
is
in
cl
u
d
es
ex
p
lo
r
i
n
g
h
o
w
AI
to
o
ls
ca
n
b
e
in
teg
r
ate
d
in
to
class
r
o
o
m
s
to
co
m
p
lem
e
n
t
an
d
r
ep
lace
tr
ad
itio
n
al
m
eth
o
d
s
,
en
s
u
r
in
g
e
q
u
itab
le
ac
c
ess
to
tech
n
o
lo
g
y
,
an
d
co
n
t
in
u
in
g
to
d
e
v
elo
p
p
ed
ag
o
g
ical
s
tr
ateg
ies
th
at
f
o
s
ter
cr
itical
th
in
k
in
g
a
n
d
ac
tiv
e
lear
n
i
n
g
.
B
y
ad
d
r
ess
in
g
th
ese
ch
allen
g
es,
th
e
f
u
tu
r
e
o
f
m
ath
em
atics e
d
u
ca
tio
n
with
AI
ca
n
b
e
b
o
th
d
y
n
am
ic
an
d
tr
an
s
f
o
r
m
ativ
e.
7.
CO
NCLU
SI
O
N
T
h
e
u
tili
za
tio
n
o
f
C
h
atGPT
f
o
r
m
ath
em
atics
teac
h
in
g
is
a
r
em
ar
k
ab
le
ad
v
an
ce
m
en
t
in
th
e
u
s
e
o
f
AI
.
T
h
e
f
in
d
i
n
g
s
f
r
o
m
m
an
y
r
es
ea
r
ch
er
s
co
n
c
u
r
th
at
t
h
e
m
o
d
el
is
ex
ce
p
tio
n
al
in
a
r
an
g
e
o
f
ar
ea
s
,
in
clu
d
in
g
o
f
f
er
in
g
a
p
er
s
o
n
alize
d
lear
n
i
n
g
ex
p
er
ien
ce
,
s
u
p
p
o
r
tin
g
th
e
s
o
lv
in
g
o
f
c
o
m
p
lex
p
r
o
b
lem
s
,
an
d
p
r
o
m
o
tin
g
a
d
ee
p
er
u
n
d
er
s
tan
d
in
g
o
f
co
n
ce
p
ts
.
Mu
ch
p
o
ten
tial
co
u
ld
b
e
r
ea
lized
if
e
d
u
ca
to
r
s
an
d
p
o
licy
m
ak
er
s
co
u
ld
o
v
er
co
m
e
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