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58
59
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2009 6
A Study on the Factors Investigate of Influence Childrens Mathematic Pattern Generalized Performances among 6th Graders
Chia-Huang Chen
Abstract
This study reports on a data of 58 sixth-graders performances in mathematical
pattern generalized and affective and cognitive test and introducing two reasoning tasks
including verbal and spatial. The analysis has revealed the following outcomes:
performances of solving representation problem, influence factors of pattern generalized,
transfer strategies of self-integrated. From these results, this study is supply some
suggestion to curricula design and teaching practice of algebraic reasoning future.
Keywords: pattern generalized, representation, affective, cognitive, transfer.
Assistant Professor,Kun Shan University
60
-
(Mason, 1996)
(Friel, Curcio & Bright, 2001)
(Kieran,
2004)(Carpenter, Franke &
Levi, 2003)
Blanton Kaput
(Blanton & Kaput, 2002)
Kieran
(Kieran, 2004)
(Kieran, 2004)
(Greeno, 1977 Schoenfeld, 1992)
(Malmivuori, 2006)
(Bransford, Brown,
& Cocking, 1999)
1
61
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2009 6
2
3
4
Goldin(2000)
()/
()///
()
()
()
DeBellis Goldin(2006)
1.
62
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(empower)(dis-empower)
2.
1
3.
1
2
3
63
-
2009 6
//
//
1
Debellis & Goldin(2006). A representation perspective on affect. Educational
Studies in Mathematics, 63, 135.
4.//
1
2(Valence)(Arousal)
1989
3
64
-
4
Malmivuori(2006)
(agents)
(self-initiative)(self-direction)Zimmerman
(1998) 2
1.
2
2.
3.
65
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2009 6
(Goldin, 2000)
(self-awareness)
Shan
Kruglanski Friedman2003
1.(commitment transfer)
2.(affective transfer)(flavor)
3.(strategic transfer)
(Debellis & Goldin, 2006)
Blanton & Kaput, 2002
Kieran(2004)
1.Silver(1987) Schoenfeld(1992)
(sensory buffers)
66
-
2.(Dual Coding Theory, DCT)(representation)
(referential) (organizational/ transformational)
1.
(Goldin & Janvier, 1998)
2.
(Paivio, 1990)
(Paivio, 1990)
3.(Paivio, 1990)
(Paivio, 1990)
67
-
2009 6
(Friel, Curcio & Bright, 2001; Koedinger & Nathan, 2004; Nathan & Kim,
2007)Nathan Kim(2007)
Koedinger Nathan(2004) 6 8
FrielCurcio Bright(2001)
3
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CarpenterFranke Levi(2003)1(explore)2
(conjecture)3(test)4(generalize)
1
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-
2009 6
16 23 45
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40
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-
2009 6
1
1 M SD M SD
36.3 10.2 42.5 7.0
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-
t3.6p.01
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2001; Koedinger & Nathan, 2004; Nathan & Kim, 2007)
p.05
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M SD M SD
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3
.49
(Paivio, 1990)
(Debellis & Goldin, 2006)
73
-
2009 6
3
R 2 R 2 F
.39 .39 36.38 .000 .46 .06 6.19 .016 .49 .04 4.14 .047
.42.48
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-
3.
4
R 2 R 2 F
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5
5 (%)
1.
3764
2.
1322
3.
3460
75
-
2009 6
4.
1119
5.
3662
5
60
19
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6 41
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6 (%)
1. 2441
2. 1526
3. 1628
4. 1628
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7
76
-
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8
70
ShanKruglanski Friedman2003
1.
2.
3.
77
-
2009 6
8
%
1. 4171
2. 2848
3. 814
4. 4577
5. 814
78
-
79
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2009 6
(1994)
(1989)
(2001)
51-71
(1986)
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