Procedural and conceptual changes in young children’s problem solving |
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| Authors: | Chronoula Voutsina |
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| Institution: | (1) School of Education, University of Southampton, Southampton, England, UK |
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| Abstract: | This study analysed the different types of arithmetic knowledge that young children utilise when solving a multiple-step addition
task. The focus of the research was on the procedural and conceptual changes that occur as children develop their overall
problem solving approach. Combining qualitative case study with a micro-genetic approach, clinical interviews were conducted
with ten 5–6-year-old children. The aim was to document how children combine knowledge of addition facts, calculation procedures
and arithmetic concepts when solving a multiple-step task and how children’s application of different types of knowledge and
overall solving approach changes and develops when children engage with solving the task in a series of problem solving sessions.
The study documents children’s pathways towards developing a more effective and systematic approach to multiple-step tasks
through different phases of their problem solving behaviour. The analysis of changes in children’s overt behaviour reveals
a dynamic interplay between children’s developing representation of the task, their improved procedures and gradually their
more explicit grasp of the conceptual aspects of their strategy. The findings provide new evidence that supports aspects of
the “iterative model” hypothesis of the interaction between procedural and conceptual knowledge and highlight the need for
educational approaches and tasks that encourage and trigger the interplay of different types of knowledge in young children’s
arithmetic problem solving. |
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