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A nationwide effort is underway to provide students pursuing higher education with options for satisfying general education (gen ed) math requirements. Within the context of this effort, computer science has an opportunity to introduce students to programming fundamentals and computer science principles while also satisfying gen ed math requirements. This paper is an experience report that describes initial efforts at the University of Nebraska-Omaha in piloting a course, satisfying the gen ed math requirements for non-STEM majors, whose content spans computer science, mathematics as well as the visual arts. 

This Full Paper in the Research to Practice Category reports on an empirical empirical study in which novel educational tools and techniques were employed to teach fundamentals of problem decomposition - a cognitive task transcending disciplines. Within the discipline of computer science, problem decomposition is recognized as a foundational activity of software development. Factors that contribute to the complexity of this activity include: (1) recognizing patterns within an algorithm, (2) mapping the understanding of an algorithm to the syntax of a given programming language, and (3) complexity intrinsic to the problem domain itself. Cognitive load theory states that learning outcomes can be positively affected by reducing the extraneous cognitive load associated with learning objectives as well as by changing the nature of what is learned. In the study reported upon here, a novel instructional method was developed to decrease students' cognitive load. Novel instructional content supported by a custom visualization tool was used in a classroom setting in order to help novice programmers develop an understanding of function-based problem decomposition within the context of a visual domain. Performance on outcome measures (a quiz and assignment) were compared between the new method and the traditional teaching method demonstrated that students were significantly more successful at demonstrating mastery when using the new instructional method. 

The Statewide Coalition Supporting Underrepresented Populations in Precalculus through Organizational Redesign Toward Engineering Diversity (SC:SUPPORTED), a Design and Development Launch Pilot funded under the National Science Foundation INCLUDES program, is a coalition of secondary districts and postsecondary institutions throughout South Carolina that have joined together to address the systemic issue of mathematics preparation and placement for students pursuing or intending to pursue engineering degrees. In Year One of the project, we used individual data for all 21,656 first-year STEM-intending students enrolled in a public two- or four-year postsecondary institution with ABET-accredited engineering programs in the state to identify specific pathways with high rates of placement in or above calculus, pathways with balanced rates of placement in/below calculus, pathways with high rates of placement below calculus, and “missing” pathways: ones that produced disproportionately few engineering-intending students. From the pathways analysis we identified target locations for focus groups to identify factors that do not readily appear in institutional data, such as the impact of guidance counselor recommendations in a student’s selection of their last high school math course taken. Broad themes emerging from the focus groups provided additional insight into potential interventions at multiple points along educational pathways. These themes also contributed to both the development of a survey for statewide administration and a follow-up study to develop profiles of school district decision-making with direct and indirect effects on mathematics preparation and major selection of students from that district. As we conclude Year Two of our launch pilot, in this paper we integrate a subset of results from different aspects of the project to address both quantitative impact and qualitative context of the roles that poverty and guidance play in gaining access to engineering in South Carolina.