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Published Proceedings by Mark Creager

In this study, we asked 19 preservice elementary teachers who had completed content courses and w... more In this study, we asked 19 preservice elementary teachers who had completed content courses and were enrolled in a methods class first to solve multidigit addition and subtraction problems and then to demonstrate how they would explain the same solution to a child using base ten blocks. We found that even those with conceptual understanding of place value and multidigit arithmetic faced challenges providing explanations using base ten blocks that children would be able to understand. In particular, only some gave explanations with base ten blocks that had quantitative coherence—that is, the meanings associated with concrete objects and their transformation remained stable across the explanation. Additionally few PSTs’ explanations corresponded with their initial solution because they did not coordinate the sequence of representation transformation with the sequence of their initial solution.

Research Articles by Mark Creager

In this study, we asked 19 preservice elementary teachers who had completed content courses and w... more In this study, we asked 19 preservice elementary teachers who had completed content courses and were enrolled in a methods class first to solve multidigit addition and subtraction problems and then to demonstrate how they would explain the same solution to a child using base ten blocks. We found that even those with conceptual understanding of place value and multidigit arithmetic faced challenges providing explanations using base ten blocks that children would be able to understand. In particular, only some gave explanations with base ten blocks that had quantitative coherence—that is, the meanings associated with concrete objects and their transformation remained stable across the explanation. Additionally few PSTs’ explanations corresponded with their initial solution because they did not coordinate the sequence of representation transformation with the sequence of their initial solution.

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