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1. Instructional Characterizations of Foundational Math Coordinators with Attention to Instructor-Student Interactions

   Rogers, Kimberly C; Grey, Camryn; Long, Nicholas (October 2024, 26th Annual Conference on Research in Undergraduate Mathematics Education)

   Cook, Sam; Katz, Brian; Moore-Russo, Deborah (Ed.)

   We aimed to get a better understanding of participants’ (eight foundational math course [FMC] coordinators’) teaching approaches. In the first year of this grant project, we primarily gathered data (through surveys, self-reflections, and class observations) on these individuals as instructors. These data were compiled into narrative summaries for each participant and analyzed and compared. We discuss our findings from this analysis, using the instructional triangle as a framework, and particularly focusing on instructor-student interactions. This project aims to develop an understanding of what is needed to support instructional change in FMCs by evaluating how math-specific professional development (PD) cycles affect FMC coordinators’ teaching practices and perspectives. We seek audience feedback on potential next steps towards fostering effective instructor-student interactions and future PD cycles. 

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2. Empowering Course Coordinators: Examining Foundational Math Coordination Orientations

   Rogers, K C; Long, N G (August 2025, Proceedings of the Annual Conference on Research in Undergraduate Mathematics Education)

   Cook, S; Katz, B P; Mulhuish, K (Ed.)

   This study explores the evolving approaches of eight foundational math course coordinators, uncovering key insights into their coordination strategies and mechanisms to enhance their efforts. These coordinators oversee critical courses, including College Algebra, Quantitative Reasoning, Introductory Statistics, Math for Architecture and Construction Management, Precalculus, Calculus, and mathematics courses for prospective elementary teachers. Through a dataset derived from surveys, self-reflections, and professional development workshops, we investigated their perspectives and experiences as coordinators. We analyzed data from both the coordinators and the graduate student instructors they oversee. Specifically, we highlight the integration of instructional routines that promote mathematical reasoning and the development of course-specific dynamic calendar systems, both of which have the potential to improve the instructional effectiveness and coordination of foundational math courses. Our findings offer fresh perspectives on how to better support course coordinators in their crucial role, ultimately benefiting both instructors and students. 

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3. Empowering Course Coordinators: Examining Foundational Math Coordination Orientations

   Rogers, Kimberly C; Long, Nicholas G (August 2025, Proceedings of the Annual Conference on Research in Undergraduate Mathematics Education)

   Cook, S; Katz, B P; Melhuish, K (Ed.)

   This study explores the evolving approaches of eight foundational math course coordinators, uncovering key insights into their coordination strategies and mechanisms to enhance their efforts. These coordinators oversee critical courses, including College Algebra, Quantitative Reasoning, Introductory Statistics, Math for Architecture and Construction Management, Precalculus, Calculus, and mathematics courses for prospective elementary teachers. Through a dataset derived from surveys, self-reflections, and professional development workshops, we investigated their perspectives and experiences as coordinators. We analyzed data from both the coordinators and the graduate student instructors they oversee. Specifically, we highlight the integration of instructional routines that promote mathematical reasoning and the development of course-specific dynamic calendar systems, both of which have the potential to improve the instructional effectiveness and coordination of foundational math courses. Our findings offer fresh perspectives on how to better support course coordinators in their crucial role, ultimately benefiting both instructors and students. 

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4. Project adelante: An anti-deficit professional development program for university mathematics instructors

   Adiredja, Aditya; Civil, Marta; Jarnutowski, Becca (October 2024, RUME Proceedings)

   Cook, S; Katz, B; Moore-Russo, D (Ed.)

   In this report, we share the design of a year-long professional development program for university math instructors that we developed and refined as the Anti-deficit Learning and Teaching Project (Adelante). The program is a community learning project wherein minoritized students, STEM peer mentors, and math instructors (graduate students and instructional faculty) build relationships as they share their knowledge and experiences with race, gender, and mathematics. Culturally relevant pedagogy (Ladson-Billing, 1995) frames the goals of the community learning in terms of deep mathematical knowledge, cultural knowledge, and sociopolitical consciousness. The program activities are inspired by the Funds of Knowledge for Teaching project (Moll et al., 1992) wherein teachers are offered opportunities to build meaningful relationships with students and their communities. An anti-deficit perspective (Adiredja et al., 2020) guides the learning experience for all participants. Not only are minoritized students assumed to have cultural and intellectual assets for learning, but the project also aims to dismantle deficit master narratives (Solórzano & Yosso, 2002) about these students and their capacity to learn. Instructors worked on explicitly challenging deficit narratives about their students as they engaged in the program’s activities. The project also takes an anti-deficit approach to instructor development, focusing on their individual growth and agency, joy in teaching, and mental health. We also position ourselves as learners to the experience and wisdom of the staff and students at the university cultural centers. The core activities for the PD engage teachers to: (a) participate in five PD meetings on anti- deficit teaching and Inquiry Based Learning (IBL) teaching method; (b) lead a five-day math summer bridge workshop in Pre-Calculus, Calculus I, II, Vector Calculus, or Linear Algebra immediately following the meetings; (c) participate in critical conversations about race and gender in STEM with students at the cultural centers; (d) conduct a semi-structure interview with one of their students from the summer workshop about their STEM experience; and (e) participate in group reflection meetings debriefing their experience in the activities. Preliminary analysis of two of the three cohorts of participants found that most instructors developed a more humanizing approach to their teaching and their students (Gutiérrez, 2018). IBL helped instructors to explicitly challenge deficit narratives about minoritized students in the classroom, wherein most observed their students engaging in deep mathematical reasoning. Interviewing one of their students also shifted deficit narratives that developed in the classroom for some instructors. The workshop served as a space to try out previously learned teaching ideas (student centered teaching) without constraints from curriculum and assessments. Doing so reinvigorated many instructors’ passion for teaching, especially those who are more experienced. 

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5. Different instructors—different symmetry: variation in instructional approaches and content emphasis in inorganic chemistry

   https://doi.org/10.1039/D5RP00275C  

   Shi, Lu; Hilborn, Shanna; Pazicni, Samuel; Popova, Maia (January 2025, Chemistry Education Research and Practice)

   Symmetry is a foundational concept in inorganic chemistry, essential for understanding molecular properties and interactions. Yet, little is known about how instructors teach symmetry or what shapes their instructional and curricular choices. To investigate this, we analyzed classroom observations from fourteen inorganic chemistry instructors from various institutions, focusing on their use of student-centered practices and emphasis on symmetry content. We then conducted semi-structured interviews to explore the reasoning behind their decisions, using the Teacher-Centered Systemic Reform (TCSR) model to interpret influences from personal factors (e.g., teaching experience), teacher thinking (e.g., beliefs about teaching and learning), and contextual factors (e.g., classroom layout). Minute-by-minute analyses of teaching revealed four instructional profiles (student-centered, high-interactive, low-interactive, and instructor-centered) and four content profiles, ranging from an emphasis on symmetry fundamentals (e.g., symmetry elements and operations, point group assignment) to symmetry applications (e.g., spectroscopy, molecular orbitals, character tables). Three themes emerged: (1) instructional approaches and content emphasis vary substantially across instructors; (2) more student-centered instructors tend to focus on foundational symmetry concepts and skills, whereas more instructor-centered instructors tend to prioritize advanced applications; and (3) instructors’ beliefs and prior experiences, more than personal and contextual factors, drive instructional decisions for teaching symmetry. 

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