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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
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Methodology:
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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
12.5
13.0
13.5
14.0
14.5
15.0
15.5
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otalP
erf.
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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
17
18
19
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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