jurnal int valid.pdf
TRANSCRIPT
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5
A. P. D. Aba TUNA
Kaa U, Ecaa Fac
Kaa, TURKEY
P. D. A KAAR
Kaa U, Ecaa Fac
Kaa, TURKEY
I , c 5E a cc , ba cc aac, c
ac 10 a a aac ca, acacac a ac a. T aca
ac a 10 a 20102011 acac a a Aaa c Kaa. T a , a c a a a .
T a c ab ac a
5E a ba cc aac . T c a c aac ac a ac ca aac cc a . T aca ac a a
c acac ac a ac c a a
c . T c b aca ca a a
a .
:Maac Eca, T Tac, 5E La Cc M.
Tac c aa , a a aa ac c
a a. Tac a cc a ac. O
a a a a ab ba, ac ac a a ac
ca. Pa, c a a ac ac a cc c a cac (U, 2002).
Acc Ra a G Ca (1990), a bac ab c a c ca
b a baba ac a a ac:P c a ca c ba a a a c a
a a. O a a a a a. W ca a a ; ca, ba ca a a ba c a a a a a .
Acc S(2000), cc, a a c b a ca a a a . Sc a a, a a c ca, c, a, aca a c, aca a aac,
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c c acc a bac c. D acc ,
, a a , c ac ca cc a (Aa,
2004).
Pa ca a a c ca a a / a , a Pa , ac ac ac / , / a b a bc (O,1993). I a a aca a c ac ac a
cc, ca ca, a a c a. T a a ca
b (B, 1972).
5
G a cc, 5E a b Rb Bb. Acc Bb (1997),
a a ac b Ga Fc Hba. F, , ba J D a Ja Pa. A a
cc a aac, 5E a cc a c b a a a ac a. T a a:
Ea/E
E
Ea
Eaba
Eaa
T 5E a cc a cc c a a cc c
a cc. T c ca a ac, b a ca , c ac ac a ac a a ca a c
(E, a a Ta, 2006). T 5E a a c a aca
cc b . W a a a a aac ac, ab a cc b(://.ba.a..///.).
5E a b c a c b a a a, a bc, b a c, ba a a ab a a aa (W a S, 2005). 5E a cc c cc
ca acba a ba c a ca (Cab, 2000).
S a ca a c c b a c a a a , a a a a . T a ca cc a . T a ca a cca .
G cc aac, 5E a a ac c .Sa , , c, 5E a a cca
(E, 2006). 5E a a cc a aca a a ca bca a (Lbac, 2006).
5
1. /
T a c a c. A , a aca, a a a , a c a a c ca b c
a a a a cc a a a c ca b
(://.ac.//). I a, c a bc c
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. S b ca a a a a . I a, a
c a cc aca c. T ba c ac a.
S a a . F ac, a
cc (Bac, 2005). I a, a ca b ca b a a a a a. I a, ac a a ab c a a ,
ac a a a aa ab cc (Ca a Ba, 2001). T a
a a cc c ba, cca, a a (W a S, 2005).
2.
Ma bc a/ a, a ac ac c c a aa, ba, a a a (W a S,
2005). T , a a bc a ca , b a a , ca a (T, 2003). A aa ab ac a , ac ca a cc a , a a
a a a a a a. S ca a
ac (L, 1999).
T a a a ac a. I a, b b , c a . Ma, ac
, aca . W , a ac a,
/ c cc , b a cc. A ac ac , a a c. T ca ac
, a a . T a a
ba (Ca a Ba, 2001).
3.
I a a, a cca ba ba a aa.
Aa ba b aca aa a c (W aS, 2005). A a ac , a, a
a c ab . T a a a acc a 5E ;
bca ac bc ac cc a a c a .
Tac a c c a a a a ,a a a a ac c a a . I a, ac a a cc aa. F, b
aa bac , ac, b,
c, a a cc (Bb, 1997). T a a cc a b a (Ha, 2005).
4.
I a, ca acc , , ca b a a
c a/ c ca ca. T a ca b a b a ac
ac b ac a (W a S, 2005).
W a a, a c a b. T aa a a. T a ca b c a ac bca
c b. Sa ca c
a bc, a . T a cc a a a aca a cc ca b
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a b a. T aba a a bca a
cba a ac .
5.
T aa a a ac a cc cc cc c a c c. T a a b a a a (Wa S, 2005). I a, aa a a a cc
. S a a a , a a, a, a a
a aa ab. F, a a aca a a a, a a. T a a a b a ab a a a ca
ba. T aa a a ac a c ac c (Ha, 2005). T a a
cc cc a a a (W a S,2005).
T a 5E a cc a ca a b:
F 1: Pa O 5E La Cc M
I ac , 5 a cc a a c acac ac a
ac ?
T c ac ca c ca ac.
Paca a aca c a b a ba ac a. Cc aac a a a ac a a a
c a. W a cc aac, ca a a aa aa a cc b bc b .
T a c , 5 a cc ac
acac ac a ac .
T a c aac. S a a c
bc. I a, a, c a ca, a c
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cc , c, a a ca, a c aca a a
a cc c . I a, aca a a a
ac cc a a , cc a b a b. I , ca c , a a a cc aac, b a
c (Aa, Pa a Va, 2005).
Naa, c a ac, a c. I
aac, a cac a bac c a a aba a ac. T
ac ac ac a a aa c a aa a ac cc . F, b 5E a cc ca b
a a a , ac a a.
T ac b bac cc 10 a c aac.
D aca ac, a c b c a a a; b cc ca a a ab c.T ac b 8 (4*8=32 c ).
I c, a ab ac, , aa a a aa aa a .
T a ac c a a c . I
, b a a. O a a a,
a a c . T a c ab ac a 5E a ba cc aac . T
c a c ac,
aac ac a ac ca aac cc a .
T ac c 49 10 a 2009
2010 acac a MK Aaa c Kaa. I a , a 25
(13 , 12 b) a c , a 24 (12 a 12 b). W a a c a , aac a a a c ab aab (acac ac ) a
ca a a ca 10D a 10C a c c a a a c
. I c a ac a a a ac, aa a a ac cca (B a., 2008).
S aac a a 20092010 acac aI a a aca ca c b
a a c aac a a 20092010 acac
a.
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Tab 1: I Sa TT F Ea A C G S Maac Ga F
A SG Nb
(N)
Ma
( X )
S. . S.
()
Ea 25 3,00 1,63
C 24 3,31 1,52
47 0,773 0,444
>0,05
A ab 1., aca ca c b a a c aac a [(47) = 0,773, >0,05]. A a , b a a aca,
a c a a aaca .
P c a a c I a a aca ca c b
a a c c ac a .
Tab 2: I Sa TT F Ea A C G S Sc I T PT
G Nb (N) Ma
( X)
S. . S.
()
Ea 25 4,640 1,350
C 24 4,708 1,267
47 0,183 0,856>0,05
A ab 2., aca ca c b a a c c ac [(47) = 0,183, >0,05]. A a , b a
a aca, a a c a a acac ac
.
Acac ac a ca aa aca aa ac b a c 5E a cc ac acac
ac. C 50 , a a a ac ac b
a a 2 a a 120 a. T c a a
b a c c a ca , a a aa. A aca, a aa , c a c
a cc. B a , a c c 28
a. T KR 20 ab ca a 0,88.
T acac ac a : a, a a , a a a ab . M, a a ,
c ac . Fa, a a ac a a a, a a ac .
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R 20092010 acac a a Aaa c Kaa, 10a aac a a a c ab
aab c acac ac a ca. A a , a a aab a a ca 10D a 10C a c c aa a c .
T a c ab ac a 5E a ba cc aac . B b
c, c a a a, cc a cc b ca a .
A acab c a a a ac. T ac a 8 (8*4=32 c ).
T ca a c aba a a c. S ac aa,c aac ac c a ca, a b . A a
aca, a b .
O a, acac ac a a a ac .
F aa aa ba ac, SPSS15.0 (Saca Paca Sca Scc) aca
a . A aa a c a aca aa , c a aa aa, a .
I c, aa b SPSS15.0 aa ba ac a
ab a ac.Ca a a c c T a a
aa a c a , 5E a ba cc aac , a c , aa ac
ac (c , a c.) a , acac ac ab
a ab 3.
Tab 3: I Sa TT F Ea A C G S Sc I T PT
G Nb (N) Ma
(X
)
S. . S.
()
Ea 25 20,76 3,205
C 24 16,00 2,620
47 5,677 0,000
A ab 3., a c a a X= 20,76
a a c a X= 16,00. I a a acacac a a c . I a c aca ca. A a , a c a
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5,677 = 47 a =0,000, c b a aca ca a
0,05 cac.
T a a a c a a . T, 5E
a ba cc aac a c ac a aa ac c .
I c, ab c ac c ac ab a . T ac a 4
a a . T a a c c ac a ab 4.
Tab 4: I Sa TT F Ea A C G S Sc I T Pac
T.G Nb
(N)Ma( X)
S. . S.()
Ea 25 18,840 2,718
C 24 13,291 3,290
47 6,446 0,000
A ab 4., a aca ca c b a a c c ac a a [ (47) =6,446 a =0,000 < 0,05].
T ac c a , 5E a ba cc aac , a c . A a , ca b a
a b ac aa 5E a ba ccaac a a aa ac.
A a ac, a 5E a cc c acb a ac . T ac ab 5E a cc b c aaa a a a a cc ca. Saa(2006), La(2001), Bac (2005),
Bc (2001), Aa(2005) a (2007) a ac c 5E a cc acac ac. T ac a ac.
A aca ca c b a a c c
. B aa , c a ca, a , 5E a ba cc aac , a
a cc a c . A aca ca c b
a a c c ac . I a c
a a .
I accac , , a bca, a b:
Maac ac a b a ac .T b a a a
b. W b, aa aca b c b a a aca, a a b c b . Tac
a , .
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Tac b ca ab c ac ac a a, c a
aca 5E a , a aa b aac a aa a a cc . T
ac b bc. T c 5E a bc aac ca b ac.
T a a ac ca b a aa a/ ac c
(5E a ) a c c. M, b a a ca acc a a , b. T c a a b
aa b a. Sc c ac a ab bc aac a a ac a b
.
Aba TUNA a aa a Kaa U, Da
Maac, T. H c P.D Maac Eca Ga U.
H aa aaca a a, Maa Eca a 5E
La .
A. P. D. Aba TUNA
Kaa U, Ecaa Fac
Kaa, TURKEY
E. Ma: aa@aa..
GS: +90530 344 2515
A KAAR a a Kaa U, Da Maac,
T. H a a ac ab aac a aac ca.
P. D. A KAARKaa U, Ecaa FacKaa, TURKEY
E. Ma: [email protected]
Aa, T., Pa K., Va G., (2005). T H T,H Maac ,.a../aa/H_O_T.b( 12.05.2009).
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Aa, E., (2005). Ec 5E La Cc M S Ua Ac a Ba
Cc. Ub Ma T. M Ea Tcca U, Aaa.
Aa, D., (2004). Oa D Maa c E V Kaca E. Ga E B E, Yaa Y La T, Aaa.
Bac, S., (2005). I 8 Ga S Ua P a Ra Pa B
U 5E La Cc a Cca Ca T. Ub Ma T. M Ea TccaU, Aaa.
Bc, R. E., (2005). La T La Cc: T Daa Ec Ea P
Tac.Sc Scc a Maac.105(2), 6172.
B, J.S., (1972). M T Ecaa Rac
B, ., (2001). D D: T S T K G D. Pa Yac, Aaa.
B, ., K aa, E., A, .E., Kaa, ., V
Bb, R.W., (1997). I c. I Ac Scc Lac: F P T Pacc.P, N: Ha.
Ca, R. N., & Ca, G. (1990). "Ua A Ba Ba Aac T La A Tac."Ecaa La, 48(2), 6670.
Cab, M.A., (2000). T Ec O T 5 La Cc M O S Ua O Fc AM Cc. M T. U O Ca Fa.
Ca, A. A. & Ba, J.E., (2001). Tac Scc A I. N J, N E. PcHa, U
Sa R.
D, F. (2008). B Aaa Y. Pa Yac, Aaa.
E, G., a, Y. & Ta M. (2006). 5 MN c Aa Baaa V T DE: Yaa A Ha. . A Ea E Fa D. 7 (2), 115.
Ha, A. H., (2005). F E Yaaac Yaaa Daa Baa D
E, Da T. Ga E B E, Aaa.
La, A. E., (2001). U T La Cc T Tac B Cc A Ra Pa. JaO Bca Eca, 35 (4), 165169.
L, T. R., (1999). A Ca B Taa A Cc Tac Ea Scc.
T Ja O Ea Eca, 30 (3), 2228.
Lbac, A. W., (2006). T La Cc A A T F Pa Scc Ic.
H://W.C..E/Scc/Lbac/257c.H. (11.04.2010)
Mb (2005). Oa Maa D Pa, W.Mb.G.T. (11.04.2010).
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Pa, J., (1992). T Ua T I. N, Ga
S, Z., (2002). G V , Nb Ya Da, Aaa.
T, F. & D. (1997). F , Y/ Db M E G P H c E Yaa, Aaa.
, T., (2007). 5. S K V Ha Y 5E M G GRb Maa E B Yaaa Da T, Kaa T
F B E.
U, N., (2002). Oa B Paa G Ka D V cG Saaa, H. F B E, B Ua T
W, M., S, P., (2005). C I: A 5 La Cc L. Scc Ac. W,V:41,N:4,3743.
EXAMPLE OF COURSE PLAN IN TRIGONOMETRY TEACHING BASED 5E LEARNING CYCLE MODEL
Ac : S a c a a a aca a a
Pac :S a a a a aa a a
S a ca a ac a a a
Da : 45+45=90
B b a , a a b a b aa a aa . T, a ac a a ab bc.
S b b a b ca a ba b
a a, a a a cc bc.
A a a ca ca a a b ca.I a, a a a ac a a . M,ac a a a a b a.
Ma, ac ca b a a ca ca a a.
T, b a , ac a a.Tac c c a a a . T a
a a, a ac, a c c, cc ab a ca ac c a.
Acc aa ab,
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H ca ac b ?
Ca ba b a c a 1 1 0 ?Ca ( ac b ) b a?Ca b b aa a a a a b
a ?
I a, ac a c b a a
a. Tac a , b
a a ca .S a cc . I a, b
aa, ac a . S a a a aa c ac. S ca a a a a.T ac a b b ac c 3 a a a a
ca a.
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I ab, a,AB c BC= =
a a
ABC
=
a , AC b=
.
T h AB
aa a.
IBD
a x , ca AD
x ?
U Paa a, 2a a 2b a.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . .a = 2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . .b = Wac a 2h b a.
F 2h b a.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .h = 2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .h = A 2h a? W?
2 2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .a x = (1)
D a ca x ?
I ax a, a x , c a c a, ?
W cosB .
Wa x a?
..........................................x = W x (1)
T a a , ca , ,a b c a cosB? La 2b a a.
2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b =
T a a c ca c a.
Sa, b cosC a a.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .c = 2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .a =
M , a c a ac. Aac ca c b cc , a
c a acc a. Tac a c c a a a a , a a a a ac c a
a .
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I a, ac a a cc aa. F, b aa
bac , ac, b,
c, a a cc.I a, ac a aa ac . T, ac cc b
cc a a a c a a ca. S a b.
G a a ABC
;2 2 2 2 .a b c bc CosA= + 2 2 2 2 .b a c ac CosB= + 2 2 2 2 .c a b ab CosC = +
T a a a ca a C La.
I a, a b aac ac
b. T a, a cc a a b .S a a b cc a b a a a. S a a a a a a b
c. B a , ac a a a, a. B ca a , a .
S, , ca a a. F, ac acc b c a a , b a a .
F , b ca b a :
I a a, b c a, a Paa a ca a
c a.
B c a, ca a a a ca b a?
Acc ab , cacaAB
b c a.
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U a, ac a aa c. B a, ca
aa. H, a a cc bc, a a bc a ca a a.F , a a b a c a. B a a
, ac ca a c a a. T, ac ca cc
a a c a c a. S a a aa aa b ac.
1. Caca a b.
2.
I a , ac 5 a 8
, c. Bca a b , ac b ca b caca c. Acc aa , caca ac b .