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This paper presents a critical cartographic methodology used in a project that seeks to better understand the experiences of students from underrepresented groups who are considering a career in k-12 STEM education. The methodology is informed by two distinct, but we believe complementary, methodological literatures: 1) new materialist philosophy of science, which is a subset of a larger posthumanist movement in social theory, and; 2) critical race theory. This methodological synthesis is significant in three important ways. First, it enables a novel approach to empirical research on science education. Second, it offers a substantive alloying of new materialist theory methodology with critical race theory methodologies. Third, it represents a research approach that has been favorably reviewed by NSF funders.