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Building Conceptual Understandings Of Equivalence, Kelli Rich
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 …
Implementing The Constructed Scaffold Model: Hands-On Activity Units For Advanced Placement Calculus, Susan Scott
Implementing The Constructed Scaffold Model: Hands-On Activity Units For Advanced Placement Calculus, Susan Scott
Theses and Dissertations
The purpose of the present action research study is to describe a hands-on activity model, named the Constructed Scaffold Model (CSM), used in an Advanced Placement Calculus class in a southeastern United States suburban high school. Data were collected over an 8-week period during the spring 2017 semester. The teacher-researcher developed a pretest and posttest to describe the CSM’s impact on 10 student-participants in her Advanced Placement classroom. Repeated measures t-tests were used to determine the effect of the CSM on the student-participants’ test scores. Additional qualitative data were collected from field notes, student surveys, a focus group, and student …