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Theses/Dissertations

Boise State University Theses and Dissertations

Elementary Education

Equivalence

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Building Conceptual Understandings Of Equivalence, Kelli Rich May 2018

Building Conceptual Understandings Of Equivalence, Kelli Rich

Boise State University Theses and Dissertations

The equal sign is prevalent at all levels of mathematics however many students misunderstand the meaning of the equal sign and consider it an operational symbol for the completion of an algorithm (Baroody & Ginsburg, 1983; Rittle-Johnson & Alibali, 1999). Three constructs were studied through the lens of the Developing Mathematical Thinking (Brendefur, 2008), Relational Thinking, Spatial Reasoning and Modes of Representation. A review of literature was conducted to examine the effects of mathematics instruction on the development of students’ conceptual understanding of equivalence through the integration of spatial reasoning and relational thinking. The Developing Mathematical Thinking (DMT) curricular resources …