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Teachers’ meanings for the substitution principle

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PROCEEDINGS OF THE 18TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2015

Pittsburgh, Pennsylvania

Teachers’ meanings for the substitution principle

Page: 801

Structure sense is foundational to mathematical thinking. This report explores high school math teachers’ meanings for the substitution principle, a sub-category of structure sense that research previously identified as sources of difficulty for students. A focus on meanings reflects our belief that teachers’ meanings directly impact the mathematical meanings students develop. We suggest ways of thinking that could lead to various response types as a resource for teacher educators to design professional development targeting improved structure sense for teachers.

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