Multifaceted assessment of children's inversion understanding.
Terry Tin-Yau Wong1, Chloe Oi-Ying Leung1, Kam-Tai Kwan2
1Department of Psychology, The University of Hong Kong, Pok Fu Lam, Hong Kong.
Journal of Experimental Child Psychology
|March 23, 2021
Summary
This study explored children's understanding of inversion, finding it has a single factor structure and improves with grade level. Better inversion understanding correlates with higher math achievement in students.
Area of Science:
- Cognitive Development
- Mathematics Education
- Educational Psychology
Background:
- Inversion understanding is crucial for mathematical concepts.
- Previous research has not fully explored its structure, development, and link to math skills.
- A comprehensive assessment is needed to address these gaps.
Purpose of the Study:
- To investigate the factor structure of children's inversion understanding.
- To examine the developmental trajectory of inversion understanding.
- To determine the relationship between inversion understanding and mathematics achievement.
Main Methods:
- A multifaceted assessment evaluated 110 fourth to sixth graders on three inversion understanding measures: example evaluation, explicit recognition, and procedural application.
- Participants' mathematics achievement was also assessed.
- Latent profile analysis identified distinct groups of children based on their inversion understanding profiles.
Main Results:
- A one-factor structure best explains inversion understanding across various arithmetic operations.
- Improvements in inversion understanding were observed with increasing grade level.
- Seven distinct classes of children emerged, differentiated by their inversion understanding profiles.
- Children with stronger inversion understanding demonstrated higher mathematics achievement.
Conclusions:
- Inversion understanding is multifaceted and develops across grade levels.
- Specific profiles of inversion understanding exist among students.
- A significant positive relationship exists between inversion understanding and mathematics achievement.
Keywords:
Arithmetic principlesCognitive DevelopmentInversionLatent profile analysisMath achievementMultifaceted assessmentMore Related Videos
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