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Many educators and professional organizations recommend Quantitative Reasoning as the best entry-level postsecondary mathematics course for non-STEM majors. However, novice and veteran instructors who have no prior experience in teaching a QR course often express their ignorance of the content to choose for this course, the instruction to offer students, and the assessments to measure student learning. We conducted a case study to investigate the initial implementation of an entry-level university quantitative reasoning course during fall semester, 2018. The participants were the course instructor and students. We examined the instructor’s motives and actions and the students’ responses to the course. The instructor had no prior experience teaching a QR course but did have 15 years of experience teaching student-centered mathematics. Data included course artifacts, class observations, an instructor interview, and students’ written reflections. Because this was a new course—and to adapt to student needs—the instructor employed his instructional autonomy and remained flexible in designing and enacting the course content, instruction, and assessment. His instructional decision making and flexible approach helped the instructor tailor the learning activities and teaching practices to the needs and interests of the students. The students generally appreciated and benefited from this approach, enjoyed the course, and provided positive remarks about the instructors’ practices. 

Abstract A tertiary course in Quantitative Reasoning (QR) has the potential to develop key practical and intellectual skills for citizenship, such as critical thinking, problem solving, quantitative literacy, and oral and written communication. In this article, we present research conducted on four instructors of such a QR course for students enrolled in a wide variety of nonscience degree programs at a university in the United States. The course used a student-inquiry approach to proportional reasoning, probability, statistical reasoning, and mathematical modeling. The findings are framed by a 5 C model of QR, which entailsCritical thinking to link real-worldContexts to mathematicalConcepts supported by studentCollaboration and QRCompetencies. The research addressed the questions of how university instructors support student development of the skills needed for critical citizenship and how this support relates to the 5 C model. We found that three of the four instructors viewed critical thinking as a central goal of the QR course and as supporting citizenship education. All four engaged students in tasks designed to develop a combination of skills associated citizenship, including critical thinking, self-questioning, collaboration, and communication. The discussion addresses such issues as the course’s merits and challenges, student engagement, the relative importance of the five Cs, the importance of instructional autonomy, and recommendations for related professional development and future research.