Science and Mathematics Education Commons^™

Understanding Multidigit Whole Numbers: The Role Of Knowledge Components, Connections, And Context In Understanding Regrouping 3+-Digit Numbers, Eva Thanheiser

Mathematics and Statistics Faculty Publications and Presentations

This case study of a PST's understanding of regrouping with multidigit whole numbers in base-10 and non-base-10 contexts shows that although she seems to have all the knowledge elements necessary to give a conceptually based explanation of regrouping in the context of 3-digit numbers, she is unable to do so. This inability may be due to a lack of connections among various knowledge components (conceptual knowledge) or a lack of connections between knowledge components and context (strategic knowledge). Although she exhibited both conceptual and strategic knowledge of numbers while regrouping 2-digit numbers, her struggles in explaining regrouping 3-digit numbers in …