Publication Date
7-23-2024
Document Type
Article
Organizational Units
Morgridge College of Education, Marsico Institute for Early Learning and Literacy, Teaching and Learning Sciences, Early Childhood Special Education
Keywords
Classroom characteristics, Early childhood, Mathematics education, Achievement growth
Abstract
Developing solution strategies, effortful procedures that students employ to solve a specific problem, is an important mathematical goal. Studies have documented intraindividual strategy variability and its significance for learning, but only some have addressed the interindividual strategic diversity across students within a classroom. This study analyzed classroom strategy diversity using assessments of 527 kindergartens to 2nd-grade students. Latent growth modeling analysis revealed that the best fit was a spline model featuring two phases of linear growth with different growth rates (i.e., one in Kindergarten, the other from Kindergarten spring to second grade). A growth mixture modeling analysis demonstrated that only one latent class existed within the data, which supports the homogeneity of the identified growth trajectory among students. We also analyzed the relations of their learning to the interindividual strategy diversity in their classrooms via a multilevel latent growth model. The results showed that early encouragement of student-generated strategies and later guidance toward research-based effective strategies most supported mathematical growth. This finding aligned with the previous work regarding classroom strategic diversity.
Educational relevance and implications statement
Developing solution strategies is an important mathematical goal. Do children benefit from being in classrooms using diverse strategies or a smaller range of efficient strategies? Does this depend on children's phase of learning? We found that early encouragement of student-generated strategies followed by later guidance toward research-based effective strategies most supported mathematical growth.
Copyright Date
7-23-2024
Copyright Statement / License for Reuse

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Rights Holder
Douglas H. Clements, Yixiao Dong, Crystal A. Day-Hess, and Julie Sarama
Provenance
Received from Elsevier
File Format
application/pdf
Language
English (eng)
Extent
8 pgs
File Size
1.05 MB
Publication Statement
Copyright is held by the Authors. User is responsible for all copyright compliance. This article was originally published as
Clements, D. H., Dong, Y., Day-Hess, C. A., & Sarama, J. (2024). Longitudinal Investigation of Early Mathematical Achievement and Classroom Strategic Diversity: A Replication and Extension Study. Learning and Individual Differences, 114, 102516. https://doi.org/10.1016/j.lindif.2024.102516
Publication Title
Learning and Individual Differences
Volume
114
First Page
102516
ISSN
1041-6080
Recommended Citation
Clements, Douglas H.; Dong, Yixiao; Day-Hess, Crystal A.; and Sarama, Julie, "Longitudinal Investigation of Early Mathematical Achievement and Classroom Strategic Diversity: A Replication and Extension Study" (2024). Early Childhood Special Education: Faculty Scholarship. 3.
https://digitalcommons.du.edu/spec_ed_fac/3
https://doi.org/10.1016/j.lindif.2024.102516
Included in
Development Studies Commons, Early Childhood Education Commons, Educational Assessment, Evaluation, and Research Commons, Elementary and Middle and Secondary Education Administration Commons, Mathematics Commons, Special Education and Teaching Commons