From Examples to Student Responses in an Interactive Linear Algebra Textbook: Conceptions of Spanning Sets – UROP Spring Symposium 2023

From Examples to Student Responses in an Interactive Linear Algebra Textbook: Conceptions of Spanning Sets

Eric Khiu

Eric Khiu photo

Pronouns: He/ him

Research Mentor(s): Vilma Mesa
Research Mentor School/College/Department: School of Education / Education
Program: UROP
Session: Session 7 (4:40pm – 5:30pm)
Authors: Saba Gerami

Abstract

Using Balacheff’s model of conceptions, we analyzed three examples in the Spanning Sets section of an interactive textbook related to the same problem addressed in two reading questions. We used the intended conceptions to identify control structures in student responses to those questions. Our analysis revealed additional control structures, which were used independently or in combination with the others, illustrating further conceptions beyond those proposed by the textbook. Furthermore, we evaluated the correctness of using each control structure and discussed the potential issues related to their applicability.

Social Science

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