Q NGHIEN cflu U LUAN THIET KE DAI KIEM TRA, DANH GIA KET QUA HOC TAP MdN TOAN LOP 11 THEO DANG THUfC CAU Hdi CUA CHUUNG TRINH DANH GIA HOC SINH QUOC TE PISA L£ TH| HUANG HA TnrOng BH Silo OlR BH QuOc[.]
Trang 1Q NGHIEN cflu U LUAN
THIET KE DAI KIEM TRA, DANH GIA KET QUA HOC TAP M d N TOAN LOP 11 THEO DANG THUfC CAU Hdi CUA CHUUNG TRINH
DANH GIA HOC SINH QUOC TE PISA
L£ TH| HUANG HA - TnrOng BH Silo OlR - BH QuOc gio HI Nfl
Email: hoangliale183@(mall.com L£ THAI HUNG - TnfOng BH Gito dfc - BH anfc gia HO HW
Email: hun9letl1ais2eimall.com CAU VAN GIAP - Si SBUT Nam Bjnh Email: cvgiapnamOiHOegmaiLcom
Tim tit: Bai vift dUa ra dch vin dung nhiing dgng thdc du hdi trong df thi PISA vi cic bic ning life toin hgc tni
di thi PISA siidung dt thlft kfmit di kifm tra, dinh gii kit qui hgc tip min Toin Idp 11 thuic Chuang trinh Gido dvc phi thing hifn hinh Bf kiim tra, ddnh gii sau khi thiit kidi duac dinh gid chit lupng vd mde di khi thi thing qua thue nghifm trfn hal nhim hpc sinh thuic hal trudng tmng hgc phS thing d ngogi thinh Hi Nil vi phin ttch kit qui thuc nghifm, vin dung cic It thuyft khio thici diin vi hifn dgi Kit qui nghifn cdu di cho thiy y nghia thue tifn cia vi(c
ra ciu hii kiim tra, dinh gii theo dgng thdc du hii cia df thi PISA dSi vdi vifc ning cao chit luang dgy hpcvd kiim tm, ddnh gii kit qui hpc tip min Toin 6 phi thing hifn ngy Trong khudn khd bii viit, nhim tic gii cOng if xuit mdt si giii phip nhim diy mgnh hogt ding niy trong de trudng trung hgc phi thing
TUkhia: Bii kiim tra; dinh gii; kft qui hpe tip; dgng thdc ciu hii; PISA min Toin
(Nhin bdi ngdy 09/7/2016: Nhdn kft qui phin bifn vi chlnh sda ngiy 19/7/2016; Duyft ddng ngiy 27/10/2016)
I.Bitvlndl
Nim 2012, sU kiln Viet Nam lln diu tham gia
Chucmg trinh dinh gii hpe sinh (HS) qude t l (PISA)
do Td chdc hpp tie v i phit triln kinh t l (OECO) khdi
xudng v i phit triln d i tao chuyin biln mdi vio hoat
ddng kilm tra, dinh gii (KTOG) kit qui hpc t i p (KQH'T)
trong d e blc hpe phd thdng (PT) d Vilt Nam Vdi vile sd
dyng d?ng thdc d e d u hdi gin liln vdi eic tinh hudng
thudng xiy ra trong thyc tiln cudc sdng, bii thi PISA
d i ed nhdng tic ddng nhit * n h din d e h thdc thilt k l
d l KTOG KQHT die bilt ddi vdi d e mdn Toin v i Khoa
hpe ty nhiln Thay vl kilm tra vile t i l hiln kiln thde v i
thyc hinh d e ki ning chuyin b i l t gin liln vdi kiln thdc
mdn hpe, nhilu giio viln (GV) d i tim d e h thay ddi, hpc
t i p cic hinh thdc ciu hdi m i bii thi PISA sd dung d l
xiy dyng ciu hdi KTOG hudng tdi khuyln khfch HS vin
dyng nhdng kiln thde kT ning mdn hpe kit hpp vdi tinh
cim, thii dd dung din d l giii quylt hi|u qui mdt vin
d l m i cie em cd t h i gip trong thyc tiln cudc sdng
Nim trong xu hudng dd, ehung tdi dit muc tieu
xiy dyng mdt sd d l KTOG KQHT mdn Toin idp 11 theo
cic dang thde clu hdi cua d l thi PISA Cic d u hdi dupe
xiy dyng theo tilp cin dinh g i i ning lyc dupe thd
nghiim trln mpt nhdm HS din td hai trudng truiig hpe
phd thdng (THPT) thudc hai huyen ngoai thinh Hi Ndi
Kit q u i thd nghiim dupe phin tich, dinh gii, vin durig
If thuylt khio thf cd diln v i hiln dai d l dinh gii chit
lupng clu hdi v i d l thi, td do ed nhdng dilu chlnh phu
hpp nhlm dim bio d l KTOG dat nhiJng ylu d u cP bin
cda mdt d l thi v i d u hdi KTOG
56>KHOAHPCGIAODUC
2 Khung ning lUc toin hoc (Framework for Mathematical Literacy) cua ChUOng trinh PISA
Odi vdi Chuong trtnh PISA, OECO djnh nghTa: 'Ndnj
lUc todn hgc li khi ning cua mil ci nhin trong vifc lip cing thiic (formulate), vin dgng (employ) vd diln glil (interpret) Toin hgc trong nhifu nga cinh khic nhau N6 bao gim khi ning suy luin toin hgc vi sddgng cdc kMI nilm, quy trinh, dokifn vi cing eg dimifu ti, giii thich vd dudoin cdc hifn tupng Ni giup eic cinhin nhin ra vai lib cia Toin hgc trong cuic sing vi ci thi dua ra nhifng phm doin vi quyit dinh cd casd vOfng chic md mii ngudi cing din vdi tinh thin xdy dung vd tham gia diu dn phii c6'
Nhim xiy dyng nhdng ciu hdi phii hpp vdi myc tilu
l i dinh gii mde dd sin sing v l ning lye toin hpc cua
HS Ida tudi 15 d l tham gia cie hoat ddng thyc tiln trong cudc sdng, Chuong trinh PISA xiy dyng khung ning li/c
toin hpc phd thdng, dupe xie djnh bdi (1) cie quy trinli
todn hgc (ii) d e nil dung toin hgc (ill) bii cinh cho cic
ciu hdi toin hpc
Ning lyc toin hpe cua HS dupe cho ring hinh thinh
td vile d c em thue hien dupe cie quy trinh tpin hpc
bao gdm: (1) Lip cdng thde (formulate), (2) vin dyng (employ), (3) diln giii (Interpret) HS dupe ylu clu thi/c
hiln cic quy trinh toin hpc ttln thdng qua cie bii toin dupe xiy dyng theo d e ndi dung v i bdi cinh nhu sau:
Cie nil dung kifn thdc trong toin htjc theo PISA
bao gdm:
(1) Su thay ddi v i d c mdi quan h | (Change and
relationships)
(2) Hinh phing v i hinh khdi (Space and shape) ' (3) Sd lupng (Quantity)
Trang 2NGHItNCflULiLUANG3
^^ (4) Su khdng chic chin va d d lilufl/ncerfo/nly and
, ^ ^^^'l "^ f^ ^"^ ^ ciu hdi t o i n hoc
ttong d l tfii PISA bao gdm:
C i nhin (Personal)
Nghi nghilp (Occupational)
Xihdi (Societal)
Khoa hpc (Scientific)
Bin canh dd, d e nang lue t o i n hoe eung duoc
nhdm theo 3 cap dp bao gdm: d p dp i (Ghi nhd, fii
i.tK^"."" W^ "**- "^'' ''^''' <^P ^9 3 (Khdi quit
hia, Toin hpc hda) (Blng 1)
Sdng 1: Cic dp di ndng lue todn hpc cua PISA
O l p d *
Cip d d l :
Ghi nhd, tii
hi|n
'A'
f
Clpdd2:
Kit ndi, tfch
hpp
Bic dilm
- Nhd lai d e ddi tupng, khii nifim, dinh
nghTa v i tinh chit toin hpe
-Thyc hi|n dupc mdt cicli lim quen thudc
- Ap dung mpt thuit toin tieu chuin
Cip dp 3:
Khii quit
hda, Toin
hpc hda
Kit ndi, tfch hpp thdng tin d l giii quylt
d e v i n d l dcm giin
Tao nhdng kit ndi trong d e d e h bilu dat
khic nhau
Dpc v i giii thich dupc cic kf hiiu v i ngdn
ngd hinh thde (toin hpe) v i hilu mdi quan
h | cua chiing vdi ngdn ngd tu nhiin
Nhin bilt n i l dung toin hpc trong tinh
hudng cd vin d l phii giii quylt
- Vin dung kiln thdc toin hoc d l giii quylt
d c v i n d l thuc tiln
Phin tich, tdng hpp, suy luin, lip luin
khii quit hda trong chdng minh toin hpc
Tu ki k h i o sit n i m 2006, mdi d l thi PISA (booklet) bao gdm nhieu bai (unit) Mdi bai cd d u tnic gdm hai
phan: Phin mdt n l u ndi dung tinh hudng (stimulus
-eo tfie ttinh b i y dudi dang v i n ban, b i n g sd Iilu, bilu
do,_), Phan hai l i d e d u hdi (items), sddung eung mdt
tinh hudng da cho Tmng binh mdi de thi cd khoing 50
-60 eau hdi Tdng sd bai ttxjng t o i n bd d d Iilu d l thi PISA dupc chia vao c i e d l thi khic nhau d l d i m b i o d e HS
ngoi gan nhau khdng n h i n dupc eung mdt dt thi, t d d d
khdng ttie ttao ddi hoac gian lan nhin b i i nhau trong
qua ttinh lam biL Mdi dt thi s i d i n h gia mdt sd nhdm
nang lue nao do eua mdt linh vuc n i o dd v i dupe ddng thinh 'Ouyendl Ihl P/S/l-diphit cho HS
Thdi gian tfif sinh l i m mdt quyln de thi l i 120 phut
Thi smh phai dung but chi d l l i m tmc ttlp v i o "Quyln df
thi PISA" (Thf sinh dupe p h I p sd dung d e dd dung khic
nhu giay nhip, m i y tinh bd ttiL thudc k l , compa, thudc
do dp,_ tfieo su cho p h i p cda ngudi coi thi)
KT ttiuit thilt k l d l thi cho p h i p mdi d l thi cd dd sd thi smh tham gia l i m d l thi dd n h l m muc dich d i m b i o
dd g i i tri khi tfiye hiln d c thdng k l p h i n tich k i t q u i
B e t f i i P I S A p b l n t o i n h p c s d d u n g d a d ^ n g d c l o a i hmh d u hdi nhu;
- C i u ttlc nghiim k i t q u i nhilu lya chondon giin hoic phde hpp
- Q u hdi Cd/Khdng, Oung/Sai dPn giin hoic phde hop
, 4 ,^ '^"J^ '"^ ^"^" '^'^"'" " " ^ '*'^"9 Wi^a t r l n nhdng
t r i Idi cd djnh)
- Ciu hdi t u luin y l u d u t r i Idi ngin
- cau hdi t u luin ed d u true md
^"g^^MpctlfuddnhgidninglpctodnhpcChuangiVvdChuanaVBai^it
C l p d ^ i
Ghi nhd, t i l hifn
Phit bilu dupe khii niim v l gidi
h^n cua day sd v i gidi h^n cua him
sd
- Phit bilu dupe cic djnh II, tinh chit
v l gidi h?n, gidi h^n vd eye gidi han
mpt bin cda day sd, him sd
- Phit bilu dupc cie quy t i c phuong
phip Bm gidi han hiJu h^n, gidi h^n
vd eye gidi han mdt b i n cua diy sd,
himsd
c l p d ^ z Kit odi, tich hap
Phat bilu dupe djnh nghia dao
him tai mdt dilm, dao him trin
mpt khoing, vi phin, cdng thdc g i n
diJng nhd vi phin dao h i m d p hai
- Phit Wlu dupc d e h tfnh dao
h i m bing djnh nghia; d e quy tie
tfnh dao him eua tdng, hiiu, tfch,
thuong cie him sd v i cich tinh dao
h i m him sd hpp, him sd lupng giic
Vin dyng linh boat d e tinh c h i t « n h li v l gidi han hdu han v i eic quy tic tim gidi han v6 eye
d l tu gidi han don giin da bilt tim duoc gidi h^n cua d c diy sd v i him sd khic
-Tim dupc tdng cda mdt d p sd nhin lui vd ban
- Chdng minh dupc h i m sd liin tue tai mflt dilm, tren mdt khoing va tren mdt doan!
- Ap dung cnnh If v l gii tri tiung gian cua h i m
sd liin tyc d l chdng minh sy tdn tai nghi|m cua mdt sd phuong trtnh don giin
- Li giii mdi quan he gida gidi han cua day sd v i gidi hjn cda himsd
C l p d ^ 3 Khii quit hda, toin hpc hda
- Tfnh dupc d?o h i m cua h i m sd tfieo dinh nghia ddi vdi mdt sd him don giin
- V i n dung linh boat d e quy tie tinh dao h i m
de giii toan
Giii thfch dupe quan h | giua su tdn tai eua dao him v i tmh lien tyc eda h i m sd
Phin tfch dupc y nghia hinh hoc eua dao h i m y nghia CO hpc eda dao h i m cip haL
Nhin diln v i i p dyng dupe cie kiln thde d i hpe trong chuong Gidi han d l giii d e bii toin cy thi
- Vin dung dupc kiln thdc d i hpc trong chuong Gidi han
d l giii thich mpt sd bii toin
cy t h i trong cufle sdng
- Nhin bilt v i vin dyng dupe kiln thde eda dao h i m
d l giii thfch dupe nhdng
* i g dung cy t h i cOa d?o
h i m trong cupe sdng
s 4 l 3 3 - I H A l l G 1 o m o S 7
Trang 3G S NGHllN cflu IJ LUAN
Bing 3: Ma trdn diKTBGKQHTChuanglVvi Chuang VDaisi 11
Chudi
Chuang IV Gidi ban
Chuong V.Oao h i m
Tdng d i l m
Cip dd ning \pc toin hpc
Ghi nhd, t i i hien Cau 3a, 4 0.8d
a u l a , lb, 3b, 3c 1.6d
2.4d
Kit ndi, tfch hpp Ciu Sf, 6 0.8d Cau l e S a , 5 b , 5 c 8 a 2.0d
2.8d
Khii quit hAa, t o i n hpc hda Ciu 2b, Be 9a, 9b
1.6d Ciu 2a, Se, 5d, 7a, 7b, 8b, 10a, 10b3.2d
4.8d
Tdngdilin /10
32i
6.8d lOd ]
!
1
o d i vdi mdi d u hdi, thf sinh t h u d n g dupc cho d i l m
theo 3 mdic, tuy thuic du tri till da thi sinh: Tri ldi diy du,
Tri Idi chua diy dO, Khing dgt.Tiiyr\h\en,cCing ed n h i l u
d u hdi d o n g i i n ma phan t r i Idi eda t h i sinh ed t h i dupc
cho diem theo 2 mifc la: Tri ldi diy du vi Khing dot PISA
sd d y n g e i c mde n i y thay cho c i c khai n i l m 'Bung",
'Bung mit phin", "Khong dung" Kit qui lim bii thudng
dupc m i hda bdi d c sd 0,1,2 v i 9 d l nhip dd lieu vio
d e phin mim chuyin dyng, phyc vy edng tie thdng k l ,
phin tich kit qui lim bii cua thi sinh
Vdi khung ning lue v i hinh thdc d u hdi dinh g i i
ning lye toin hpe eda d l thi PISA nhu trln, chdng tdi da
nghiin edu xiy dyng myc tilu dinh g i i theo nang lyc
toin hpe d u tnic d l v i d l KTOG KQHT Chuang IV: Gidi
hgn vi Chuang V:Bgo him thude Chuang trinh Oai sd 11
Mue tilu dinh gii dupe xiy dung dya tren niue tilu
day hpc eua hai ehUPng, phit bilu theo 3 d p dd ning
lye toin hpc cua d l thi PISA, nhu Bing 2
Trln CP sd myc tilu dinh gii da xie * n h va lua
chpn cie loai hinh ciu hdi phu hpp de dinh gii tdng
myc tilu, ma trin d l kilm tra dupe xiy dyng O l thi bao
gdm 10 bii, 25 ciu hdi, trong dd cd 19 ciu trie nghiim
khich quan v i 6 ciu ty luin Oiem tdi da cho phin t r i
ldi ddng mdi ciu hdi l i 0.4 Thdi gian thi sinh lim bii l i
SO phut Phin bd ciu hdi v i ndi dung cung nhu d p dd
ning lye mdi d u hdi s i dinh g i i nhu Bing 3
Do die thu v l ndi dung giing day cua ehuong
trinh, d l thuin ti|n, toin bd d c d u hdi dinh gii Cip
dd 3 dupe xiy dung gidng hoin toin hinh thdc ciu hdi
trong d l thi PISA, trong khi dd, vdi Cip dd 1 v i Cip dd 2,
nhilu ciu hdi chl i p dyng dupe mdt phin hinh thdc eau
hdi cua d l thi PISA
3 Thuc nghiim tai hal trudng phd thdng t r l n
dia b i n H i Ndi
Thyc nghiim dupe td chdc tai hai trudng ttung hpe
phd tfidng (THPT) thude mdt huyen ngoai thinh Hi Ndi
vdi sd HS tham gia lim bii kilm tra d mdi trudng lln lupt
l i 80 v i 78 HS Ngoii d c myc dich dinh gii chit luong
d l thi v i chit lupng d u hdi, vile lua ebon hai tmdng
THPT trln cung mdt Oia bin ngoai thinh Hi Ndi tham
gia thyc nghiim edn nhlm myc dfch so sinh xem kit
qui lim bii ed khic nhau gida hai trudng eung khu vUc
Kit qui thyc nghiim t h i hiln d Bing 4
Td bing kit qui thdng ke md t i phin bd dilm eda
HS tham gia thUe nghiim (Bing 4) v i bieu dd phin bd
dilm (Hinh 1), ta cd dilm ttung binh dat duac cda nhdm
HS tham gia thuc nghiem la 6.44 vdi do lech ehuan 1.4,
edng 4: Kft qui thing kf mi ti difm cua 158 HS tham gia
thpc nghifm
SdHS
O i l m Trung binh Trung vj
6.44 6.50
Sdtrdi
Od lich chuin Oilm thip nhit Oilm cao nhit
6.00
3.00
9.00
I
Hinh 1: Phin bi difm da 158 HS thue nghif m
dilm thip nhit l i 3 v i dilm cao nhit l i 9, sd dilm mi nhilu thf sinh dat dupe nhit i i 6 Vdi kit qui phin tich theo phin phdi chuin nhu Hinh 1, ed t h i kit lu|n d l thi dua vio thyc nghiim da khi t d t dim bio dinh gii duoc
d c mde dd ning lyc khic nhau cda HS
Oinh gii mde dd tuang ddng v l kit qui thyc nghi|m gida hai trudng, chdng ta so sinh dilm trung binh cda hal nhdm HS din td hai ttudng, cd kit qui nhu sau:
Phip kilm djnh T-TEST dupc sd dyng d l kilm <Knh tfnh ddng nhit v l phin bd dilm gida hai nhdm HS
Bing 5 cho t h i y vdi Sig blng 0.1>0.05 ed t h i kit luin phin bd dilm gida hai nhdm HS tham gia thyc nghiim cd phuong sai ddng nhit vdi nhau, chdng ta
ed dd dilu ki|n d l so sinh dilm trung binh cua HS hal trudng
Vdi Sig (2 - tailed) bing 0.047<0.05, ed t h i kit luin ed )? nghia thdng k l sy khic nhau v l dilm giOi
hai trudng vdi mde <y nghia thdng k l 0.047 Trung binh
cho khoing tin d y 95% niy l i td -0.88643 d i n -0.00639
KHOAHfCSUOOMC
Trang 4It
Jl
NGMtN cflu l l LUAN L L
^"9 S: Kit qui kiim dmhT-TEST vi phdn bd diem da hai tn/dng thuc nghiim
Equal o m n c s t noi
nsumetf
V a n « K «
F
irn
Sig TOO
» t e t t e E a a i k r r i o i » »
1 -2004 -2 o n
<ff
156 152B4a
^ ( 2 - t « l e « Q
HBan
« ? 1 -44641
046 -44641
SU Errer
-S32S
9 5 * CofOflence bflvrai orvu OMftrencs
Cy thi, dilm tmng binh cua Trudng THPT Y li 6 65 vi
Tmdng THPT Xii 6 J4
Bdng 6: Md ti thdng kf so sinh diem
cua hai trudng thue nghifm
T6NG
OlfM
TRI/ONG
THPTX
THPTY
N
78
80
Trung binh 6.24 6.65
0 6 lich
chuin
127
1.50
Sal sdcua
g i i trf trung binh 14 17
8dng7;Od<rhdcdutrdeng/,;jm<ilfpudvdtf/|HS/yochpncdco/,!iBno^"
OWQUBT 6e phin ttch kit qui kilm tta Theo Hinh 2 ta
thiy Wioing 70% HS cd nang lue cao ban ning lue mi d e eau ttlc nghiem kit qui dupe ttiiet kl d l kilm tra Ciu
CO bae ning lue tfilp nhit li d u ed sd thd tU 1 trong bd
so lieu (du la ttong de thi, gii ni dd khd theo IRT blng -1.65) va d u kiem tta dupe ning lye eao nhit li d u ed sd ttiutul4{du 6, gii tiidd khd tfieo IRT blng-041) K i d eau 6 cung ehi kilm tta dupc mde ning luc thip ban mde nang lye ttung binh cua HS hai ttudng niy
Mdi X dai diln cho 1HS;
Cic sd bin phii bilu thj d u hdi (td 1 -19);
1,^1 ^^it^^S " "'">^* ''^*° ^^' "=* * ^ " ^^ I' thuylt tri
Ihs l f l " " * " *'"" ^ " ^°" "f-*-" ""a " nhdng
ehdno'^ ^ t ' * 1 ' ^ '"^^ ' " ^ 9 ^^ '*^' '' " " hdi thL
ehung ta cd kit qui nhu
sau-I h ^ x a "^ '"^'" * " ^''^ ''* 5o vdi trinh dd cda thi
drinir'ti?fIt''*.^"'.^"''*'"'^""«''"y^«khioth(ed
kft oui t 1 ' L ' 1 ' * " ' " 3 ' '^' ' ' ^*" " ^ ' "ghilm
L2 t ""* '''^ "''^^ " * * " "J* (Bing 7) Vdl HS 2
:;1?^/"7<:l^' •** ' * ^'' ''" ''^' "9hi|m kit qui diu
cd tu xip XI60% din tnn 80% HS tri ldi dung; d u trie
n h K ' " r l f " ' / * ! ' ^ " ' Md khd trln 0 « vikhd
nhit li d u 6 (dd khd xIp xi 0.6) Theo cie chuyin oia
khio th, diy li khoing gii trj dd khd khi If tudng\^ d u
trie nghiim kit qui cd 4 lua chpn
Nhin «nh vt dd khd cua dl kilm tta dupe khlno
SS m » " ^ ^^' '^ ^^" ^""9 " *"y«t fri Idi d u
hdi (Item Response Theory - IRT) vi sd dyng phin mim
Khoing gii trj (-2; 2) li khoing nang lue (dupe tinh toin theo II thuylt IRT)
Nhin vio bilu dd phin bd ning lyc HS vi dd khd ciu hdi (Hinh 2), chung ta nhin thiy cic
d u hdi khdng ed dd phin bilt If tudng 19 d u hdi diu cd dd phin bi|t duong, tuy nhiln, khdng cd
d u hdi nio cd dd phin bilt Idn hem 0.5 Ciu 6 mi ta nhic din trln diy cd dd phin bilt khi thip, gin din gii tri 0 (0.11) Cie d u hdi
cd dd phin bi|t gin gii trj 0 diu
d n cd dinh gii siu hon, d trln phuang di#n thdng kl vi phin tfch ndi dung ciu hdi d l d l thi|n chit lupng d u hdi Nhd phin tfch I,- * - "*y.ta phat hiln cd 3-4/19 ciu trie nghipm kit qui d n dupc xem xlt lai vl chit lupng d u hdi eung nhu cic phuang in lua chpn
phin bilt diu khi tdt Phin bd ning lue d u hdi so vdi ning lue HS khi If tUdng (Hinh 3) Cd thi thiy, chl nhdng
HS cd ning luc ttung binh trd lln mdi ed thi dat dilm
dl da d c d u hdi niy Ciu edsd thdtu 1 trong bd sd Iilu
c1u \ ^ ^ V^Hi^ ' * " ^ "*"*• '^ '^" '^ ''^ thdtu2
phin ddl VOI d e cau tuluin, d u 1 e lai Ii d u HS d l duoc dJgm mdt phin nhit vi d u 4 li d u khd dupe dilm mdt
I'JIHJ'!^ W«5 c4u h6i theo l( thuyet khio thi rf ailn vi d61,h6
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Hinh 3: Biiu di phdn bi ndng luc HS vi di khi ciu tpluin
Hinh 2: Bifu di phin bi
ning lpc HS vi di khi ciu
trie nghifm kft qui
phin nhit Cie d u hdi 1 e vi 1 Ob khdng ed HS nio dupe
dilm tuy|t ddi
MdiXdaidiln 1.2 HS;
Cic sd bin phii bilu thj ciu hdi, mdi d u dupc chia
thinh 2 phin, (im chl khi clu hdi dupc dilm mdt phin
vi khi ciu hdi dupe diem toin phin)
IKhoing gii tri (-1; 1) li khoing ning lUe (duoc tinh
I theo II thuylt IRT)
Quay trd lai vdi 19 clu trie nghiim kit qui, phin
ti l | lya chpn d c phupng in nhilu cdn giup ta nhin
hiidt sd ciu hdi cd phuang in nhilu ehui thyc sy
6l*n0AHpCClA0DMC
tdt Oiln hinh nhit l i d u Sa khi phuong in D chl thu hut dupe 1.2% HS lya ebon Nhin vio ciu hdi, ta cd thi
de ding nhin ra tai HS sao khdng lya chpn phuemg in D
vi phuang in niy khdng cdn gii tri dinh gii:
Bii 5 (Hat) Vj tri eda mdt h^t dupe cho bdi phuong
trinh i ( / ) = 4/'-10»^-18/ + l , / 2 : 0
a Vin tde trung binh trong 3 giiy diu tiln li bao nhilu?
A 12m/s B.-12m/s C 12m/s' D.-12m/s' Vdi deh phin tich tuong tti, ta cd thi dinh gii chit lupng cie phuong in nhilu dya trln sd li|u thdng kl kit qui lim bii thi, td dd cd dinh hUdng ri soit vi dilu chlnh d l ning eao chit lupng clu hdi
4 Kit luin Cie elp dd ning luc toin hpe vi d^ng thdc ciu hdi eda d l thi PISA cd thi sd dyng rdng rii d l thilt kl bii dinh gii ning lyc tpin hpc cda HSTHPT ndi chung,
HS Idp 11 ndi rilng Oilu niy se mang l^i hdng thu hpc tip cho HS bdi nhdng ddi mdi trong vile gin d?y hpc vi KTOG vdi thyc tiln cudc sdng (diy li dilm m?nh ndi bit cda d l thi PISA)
Ol dim bio chit lupng clu hdi eung nhu dl thi,
vile thilt kl it d n dupe thyc hiln theo dung trinh ti/
eic bude tdxie djnh myc tilu d?y hpe chuyin hda myc tilu d?y hpc thinh d c myc tilu KTOG theo khung ning lyc toin hpc cda d l thi PISA, din xiy dyng ma trin dl, thilt l|p tinh hudng vi vilt ciu hdi
Trong khi ning cd thi, GV hiy khai thic sd dyng cic phip thdng kl td eo bin din chuyin bi|t dl dinh gii chit lupng d l thi vi clu hdi, td dd ed nhdng ri soil dilu chlnh vi rut kinh nghiim d l d l KTOG ngiy cing cd chit lupng
Vile thilt k l d l KTOG d n dupe td chdc theo nhdm/
td bd mdn d l khai thie thi manh cda mdi GV vi dim bio sy phong phd, da dang cda tinh hudng/bii tip vi ciu hdi dinh gii
Mdi trudng nin xiy dyng, duy trt vi phit triln ngin hing d u hdi; GV d n dupe t|p huin, bdi dudng
v l KTOG: Nhdng kT thuit vilt ciu hdi dinh gia, ki thuit phin tich vi sd dyng kit qui KTOG d l mdi trudng cd mdt ngin hing clu hdi ngiy cing ting el vl sd lupng
vi chit lupng d u hdi
Mdt sd d u hdi tilu bilu trong M thUc nghl|ni
Bii I.Cho him sd>' =
x-2 (C)
a Vdi Ai: li sd gia cda ddi sd tai x = 1 thi Ay =
A A;'
C Ay =
S-t-Ac Ax-I
5A<- + AT'
A t - 1
B.A>' = ix'+3Ax + 2 0.&y =
Dip in: C
e Vilt phuang trtnh tilp tuyIn eua (C) t^i dilm A(l;
Trang 6NGHItNCflUULUANQ
1 ci
Dip in:
Miic didy dii
Phuong trinh tilp tuyen cua (Q tai dilm
^o(-to »o) cddang y<-y,=f(x,){x-.x,,)
- (O qua A(1,-2) vi tfieo lb cd / ' ( I ) = - 5 nin
phuong ttinh tilp tuyIn (Q l i y-i-2 = ( - 5 ) ( x - l ) o y =
-Sx + 3
Mdcehuttddydij
- Ciu tri Idi ehua dly dd;
- Chl neu dupe cdng ttidc vilt phuang ttinh tilp
tuyIn;
- Hoic chf dua ra dUOc phuong trinh tilp tuyIn ma
khdng giii thfch gL
Khdng dot Ciu tri Idi khic
Bii 2 An ndi Binh: 'Nlu Binh di shopping, Binh ed
thi cd mdt chile viy thit dep' Binh bilt dieu niy cd
nghia li:-Nlu Binh khdng di shopping, Binh khdng thi
cd mdt chile viy tfiit dep" Cd giio ndi vdi Binh- "Nlu f
khi vi tai X thi f\i liin tyc tai x" Viy ff lu niy ed nghia l i '
A Nlu f khdng lien tiJC tai x thi f khdng khi vi tai x
B Nlu f khdng khi vi tai x thi f khdng liln tue tai x
C Bilt ^khdng liin tyc tai x thi khdng cung d p cho
Chung ta dly du thdng tin d l suy luin bit ed dilu gi vl
d e dao him cua f khdng tdn tai dx
D Tit ci diu dung
Ddpdn:C
Bii 10 /(5 nhiim mii tmdng): Mde OZON (tinh theo
phin mfu) d mdt ngiy hi cda vung Xdupe cho bdi edng
thdc /-(f) = 80 +12/ - r^ t li thdi gian tinh bing giiy vi
t = 0 dng vdi thdi dilm 9h sing
b.Tinh lupng OZON do duoc Idn nhit eda vdng Xvi
thdi dilm lupng OZON do duoc li Idn nhit
Odpdn:
Mde daydu
- Lupng OZON do dupe Idn nhit ttong ngiy ehinh
la ditim gia tti kin nhit eua him sd /•(/) = 80+12/-r-'
- Cd the lim theo mdt ttong hai dch sau:
Cich 1: 8 0 + 1 2 / - r = - ( , ^ - i 2 / - 8 0 )
= - ( » - 6 ) ' + 116<I16 -Olu-="xiyrakhivaehikhi - ( / - 6 ) ' = 0 < = > / = 6 -Viy lupng OZON do dupe Idn nhit trong ngiy eda vungXlall6(OU)khit=6s dng vdi thdi dilm 9h6s sing Cdch 2: Ap dung dao iiim
-Tacd P\t) = \2-2i, n O = 0«.« = 6(s)
- Bang bien thiln
P-(t) P(t)
- Viy lupng OZON do dupe Idn nhit trong ngiy li
116 (DU) khi t = 6s dng vdi thdi dilm 9h6s sing
MdechUodpyrfii.-CiutrildiehUadlydu
PHAIROHON
Khdng (tot Ciu tri Idi khic
T A I U C U T H A M K H A O
[l].OECO,(20I3),P/S/(20;2,^se5smentand/lncj/yf/eo/
Frameworic Mathematia Reading, Science,Problem Sohring and Financial Literacy, OECD Publishing, http:// dx-doi.org/10.1787/g789264l90511-en
[2J Bd Giio dye vi Oio tao, (2014), Tdilifu tip huin
PISA 2015 vd cdc dgng cdu hit do OECD phit hinh trong linh vuc todn hoc
DESIGNING A " S T T O EVALUATE LEARNING OUTCOME IN MATHS GRADE 11
TOWARDS PISA QUESTIONAIRE FORMAT
UThi Hoang Ha - Unhrerslty of Education - VNU, Hanoi
Emalk hoanghaleia3»gmail.com
Le Thai Hung - UnhrersHy of Education - VNU, Hanoi
&iov>«i-i>» «, ^ ^"«'ll=>«"<glethal82mgmail.eom Cao Van Giap - Nam Dmh Department of Education and Training
EmaU: cvgiapnamdlnh^malLcom
research findings showed its pracrical^nilielrKe ^ q u ^ , ° , ^ ' ^ "l"^"" " " " "<"''"" '^ting theories The
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