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C3 Macayan Interactive Effects of Prior Knowledge

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    THE INTERACTIVE EFFECTS OF PRIOR

    KNOWLEDGE, COGNITIVE WORKLOAD, &GOAL STRUCTURES TO THE LEARNERSTASK PERFORMANCE IN MATHEMATICS

    JONATHAN V. MACAYAN, Ph.D.

    SLHS - Department of PsychologyMapa Institute of Technology

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    Background of the Study:

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    Cognition Motivation

    AcademicAchievement

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    The Theories

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    The PersonalFactors

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    The Contextual Factors!"

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    The Learning Context

    Prior Knowledge

    Low vs. High

    Goal Orientation

    Performance vs. Mastery

    Learner

    Cognitive Workload

    Intrinsic (Complexity)

    Extraneous (Design) Germane (Schema)

    Goal Structures

    Performance (promote competition;

    focus on relative ability) Mastery (promote learning; focus on

    self-referent levels of competence)

    TASK PERFORMANCE

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    Theoretical Framework

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    Figure 1. The Direct and Interactive Effects of Prior Knowledge, Intrinsic Cognitive Load, andGoal Structures to Learners Task Performance

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    Research Problem1!9

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    Research Problem1&9

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    Research Problem1

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    Research Problem1 89

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    Research Problem1 (9

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    Methodology:

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    Research DesignResearch Design

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    Methodology:

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    Methodology: ###$%"

    Research DesignResearch Design

    EXPERIMENTAL

    PHASE

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    Result

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    Mean SD

    High Prior Knowledge (N = 34)

    Easy Items 8.59 0.61

    Difficult Items 4.44 0.56

    Low Prior Knowledge (N = 588)

    Easy Items 5.18 1.71

    Difficult Items 1.72 1.08

    Mean and SD of student samples (N=622) in the diagnostic

    assessment of prior knowledge in mathematics (Algebra)

    Note: Easy Items = 9, Difficult Items = 6

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    Result

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    Mean SD

    Performance Orientation

    Approach 3.55 1.14

    Avoidance 2.03 0.84

    Mastery Orientation

    Approach 4.01 0.84

    Avoidance 1.47 0.50

    Mean and SD of student samples (N=622) in the diagnostic assessment of

    achievement goals (based on 2x2 Achievement Goal Scale, Elliot & McGregor, 2001)

    Note: Performance-Avoidance (4 items), Performance-Approach (4 items), Mastery Avoidance (4 items),Mastery Approach (4 items)

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    ResultsModule 1.A

    (Low Intrinsic Cognitive Load)

    Module 1.B

    (High Intrinsic Cognitive Load)

    Exercise Exit

    Test

    Total Exercise Exit

    Test

    Total

    Performance Structure

    LPK 1.87(0.35) 4.73(1.25) 6.60(0.91) 1.53(0.52) 3.13(2.04) 4.67(1.99)

    HPK 1.80(0.41) 6.13(0.93) 7.93(0.88) 1.33(0.62) 3.93(2.32) 5.27(2.09)

    Mastery Structure

    LPK 1.93(0.26) 6.33(0.93) 8.27(0.88) 1.67(0.62) 4.27(1.77) 5.93(1.83)

    HPK 1.93(0.26) 6.60(0.51) 8.53(0.52) 1.87(0.35) 5.80(1.13) 7.67(1.05)

    Descriptive Data Mean (SD): Task Performance of Participants (N=60)

    Legend: LPK Low Prior Knowledge, HPK High Prior Knowledge

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    Results

    Factors Df SS MS F p

    Prior Knowledge 1 20.417 20.417 6.3472 0.000105*

    Goal Structure 1 50.417 50.417 15.6736 0.000003*

    Intrinsic Cognitive Load 1 114.075 1.008 80.187 0.000000*

    Prior Knowledge x Goal

    Structure x Int. Cog. Load

    1 9.075 9.075 6.3791 0.014404*

    Error 56 79.667 1.423

    Three-way Interaction (Between and Within Analysis of Variance)

    Note: Between factors (Prior knowledge and Goal Structures), within factor (Intrinsic Cognitive Load)*p

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    Results1!9

    Overall Main Effect of Prior Knowledgeto Task Performance:

    F(1, 56) = 11.94; p= 0.00, p2= 0.18

    Low High

    Prior Knowledge

    11.5

    12.0

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    Research Problem1&9

    Overall Main Effect of Intrinsic Cognitive

    Load to Task Performance:

    F(1,56) = 80.19, p= 0.00, p2= 0.59

    Low Intrinsic Cognitive LoadHigh Intrinsic Cognitive Load

    ICL

    5.0

    5.5

    6.0

    6.5

    7.0

    7.5

    8.0

    8.5

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    Research Problem1

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    Prior KnowledgeLowPrior KnowledgeHigh

    Mastery Performance

    Structure

    9

    10

    11

    12

    13

    14

    15

    16

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    18

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    TotalPe

    rf.

    Research Problem189

    Two-way Interaction Effect of PriorKnowledge and Goal Structure toTask Performance :

    F(1, 56)=5.63, p =0.00, p2= 0.17.

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    Research Problem1(9

    Three-way Interaction Effect of PriorKnowledge, Intrinsic Cognitive Load& Goal Structure to Task Performance :

    F(1, 56) = 6.38, p= 0.01, p2= 0.10

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    Conclusion

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    Significance of the Findings

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    Figure x. Recommended proposed model for future research: Moderated-MediationAnalysis.

    Where intrinsic cognitive load can be considered as the direct IV of the dependent

    variable (task performance). Prior knowledge will be tested as the mediating factor,and the mediating effect of prior knowledge will be moderated by the goal structure.

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    Significance of the Findings

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    /E


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