How story problems strengthen arithmetic problem-solving strategy sophistication: Evidence from a learning trajectory teaching experiment in kindergarten
Traci Shizu Kutaka , Pavel Chernyavskiy , Menglong Cong , Kayla McCreadie , Julie Sarama , Douglas H. Clements
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引用次数: 0
Abstract
Background
The sophistication of young children's arithmetic problem-solving strategies can be influenced through experience and instructional intervention. One potential pathway is through encountering story problems where the location of the unknown quantity varies.
Aims
The goal of the present study is to characterize how arithmetic problem-solving strategy sophistication can evolve through opportunities to solve story problems.
Sample
We used microgenetic principles to guide the coding of arithmetic problem-solving behavior (8843 attempts) across three timescales (time within-session, attempt to solve, and between sessions) for nine story problem structures (N = 40, 19 girls). Data come from a teaching experiment conducted in a Mountain West US state in Spring 2018.
Methods
We employed a Bayesian hierarchical ordinal regression with a nine-level response variable. The model contained fixed effects for session, attempt, story problem structure; a smooth time within session effect; and random effects for student, instructor, and equation.
Results
Our analysis indicates which transitions from less to more sophisticated strategies are better supported by additional attempts to solve the same problem vs. additional instructional sessions. Strategy sophistication also varied by the location of the unknown quantity (result unknown, find difference, start unknown), but not operation (join, separate, part-whole).
Conclusions
If confirmed by other studies, including experiments, what teachers offer children in terms of learning opportunities (more attempts within the same problem or more problems across work sessions) should vary based on the transition they are making.
期刊介绍：
As an international, multi-disciplinary, peer-refereed journal, Learning and Instruction provides a platform for the publication of the most advanced scientific research in the areas of learning, development, instruction and teaching. The journal welcomes original empirical investigations. The papers may represent a variety of theoretical perspectives and different methodological approaches. They may refer to any age level, from infants to adults and to a diversity of learning and instructional settings, from laboratory experiments to field studies. The major criteria in the review and the selection process concern the significance of the contribution to the area of learning and instruction, and the rigor of the study.
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