Residential College | false |
Status | 已發表Published |
Development of children's informal understanding of division through sharing: Contributions of reasoning demands and problem situations | |
Boby Ho-Hong Ching; Kenneth Hong Cheng Kong | |
2022-04-01 | |
Source Publication | EARLY CHILDHOOD RESEARCH QUARTERLY |
ISSN | 0885-2006 |
Volume | 59Pages:228-242 |
Abstract | This study examined the longitudinal development of young children's informal understanding of division through fair sharing. Two hundred and twelve children were followed from the age of 4.5–5.5 over three waves of assessment. Division understanding was measured with different types of problems (same- versus different-divisor trials) presented with different situations (partitive vs quotitve). Several key findings emerged. First, different-divisor problems were significantly more difficult than same-divisor problems at all age levels, which suggests that tasks that demand children's understanding of the inverse relation between divisor and quotient are more difficult than tasks that demand the understanding of equivalence principle. Second, children found it easier to understand the inverse relation between divisor and quotient in the context of partitive than quotitive situation. Third, with age, there was a sharper improvement in solving different-divisor problems than same-divisor problems, whereas the progress was more prominent for different-divisor problems presented in partitive situations, compared with other problems. Finally, working memory made the most consistent and unique contribution to solving all kinds of division problems at all age levels, compared with other cognitive factors. Theoretical and practical implications in early childhood mathematics education are discussed. |
Keyword | Division Inverse Relation Preschool Proportional Reasoning Sharing Working Memory |
DOI | 10.1016/j.ecresq.2021.12.013 |
URL | View the original |
Indexed By | SSCI |
Language | 英語English |
WOS Research Area | Education & Educational Research ; Psychology |
WOS Subject | Education & Educational Research ; Psychology, Developmental |
WOS ID | WOS:000820080400013 |
Scopus ID | 2-s2.0-85122531054 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Education |
Corresponding Author | Boby Ho-Hong Ching |
Affiliation | Faculty of Education, University of Macau, Avenida da Universidade, Macao |
First Author Affilication | Faculty of Education |
Corresponding Author Affilication | Faculty of Education |
Recommended Citation GB/T 7714 | Boby Ho-Hong Ching,Kenneth Hong Cheng Kong. Development of children's informal understanding of division through sharing: Contributions of reasoning demands and problem situations[J]. EARLY CHILDHOOD RESEARCH QUARTERLY, 2022, 59, 228-242. |
APA | Boby Ho-Hong Ching., & Kenneth Hong Cheng Kong (2022). Development of children's informal understanding of division through sharing: Contributions of reasoning demands and problem situations. EARLY CHILDHOOD RESEARCH QUARTERLY, 59, 228-242. |
MLA | Boby Ho-Hong Ching,et al."Development of children's informal understanding of division through sharing: Contributions of reasoning demands and problem situations".EARLY CHILDHOOD RESEARCH QUARTERLY 59(2022):228-242. |
Files in This Item: | There are no files associated with this item. |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment