Transcript
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    59

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    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

  • 2009 6

    2

    3

    4

    Goldin(2000)

    ()/

    ()///

    ()

    ()

    ()

    DeBellis Goldin(2006)

    1.

    62

  • (empower)(dis-empower)

    2.

    1

    3.

    1

    2

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    63

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    //

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    1

    Debellis & Goldin(2006). A representation perspective on affect. Educational

    Studies in Mathematics, 63, 135.

    4.//

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    2(Valence)(Arousal)

    1989

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    Malmivuori(2006)

    (agents)

    (self-initiative)(self-direction)Zimmerman

    (1998) 2

    1.

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    2.

    3.

    65

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    (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

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    (Friel, Curcio & Bright, 2001; Koedinger & Nathan, 2004; Nathan & Kim,

    2007)Nathan Kim(2007)

    Koedinger Nathan(2004) 6 8

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    3

    1 2 3

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    68

  • 1.2.3.

    4.

    CarpenterFranke Levi(2003)1(explore)2

    (conjecture)3(test)4(generalize)

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    2.

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    .82.87.42.82.30.76

    SPM1994

    12 60

    1 1

    .53-.92.49-.93

    .31-.79.37-.78

    ShanKruglanski Friedman2003

    1.

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    3.

    20

    .05

    2007 11 2008

    2

    40

    71

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    1

    1 M SD M SD

    36.3 10.2 42.5 7.0

    8.1 2.9 3.0 2.2

    1.1.63.63.78

    8.42.92.72.7

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    2.5 .63

    2.5

    .78

    2.5

    2 19.7 30

    72

  • t3.6p.01

    (Friel, Curcio & Bright,

    2001; Koedinger & Nathan, 2004; Nathan & Kim, 2007)

    p.05

    2

    M SD M SD

    3.3 3.4 2.9 3.6 3.7 2.8

    1.11.11.51.11.11.5

    4.95.64.53.01.7

    19.7

    1.1.671.41.92.4

    5.56

    3

    .49

    (Paivio, 1990)

    (Debellis & Goldin, 2006)

    73

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    3

    R 2 R 2 F

    .39 .39 36.38 .000 .46 .06 6.19 .016 .49 .04 4.14 .047

    .42.48

    .42

    .0640.375.95

    .000

    .018

    .21.32

    .21

    .1115.158.80

    .000

    .004 .19 .19 13.38 .001 .40 .40 37.49 .000 .09 .09 5.83 .019 .23 .23 17.03 .000

    4

    .22

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    1.

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    74

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    R 2 R 2 F

    1

    .13

    .22.13.09

    8.246.75

    .006

    .0122 .16 .16 10.34 .0023

    .18.26

    .18

    .0812.556.05

    .001

    .0074 .29 .29 22.73 .0005 .38 .38 33.92 .000

    5

    5 (%)

    1.

    3764

    2.

    1322

    3.

    3460

    75

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    4.

    1119

    5.

    3662

    5

    60

    19

    62

    6 41

    28

    6 (%)

    1. 2441

    2. 1526

    3. 1628

    4. 1628

    5. 1119

    7

    76

  • 15

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    1. 4781

    2. 4577

    3. 1119

    4. 3866

    5. 915

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    77

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    %

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    2. 2848

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  • 79

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    (1989)

    (2001)

    51-71

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