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1. Where’s My Whiteboard? The Challenge of Moving Active-learning Mathematics Classes Online

   Nelson, Jill K. ; Rosenberg, Jessica ; Fernandez, Kathryn ; Shank, Julie ( July 2021 , 2021 ASEE Virtual Annual Conference)

   null (Ed.)

   This research paper studies the challenges that mathematics faculty and graduate teaching assistants (GTAs) faced when moving active and collaborative calculus courses from in-person to virtual instruction. As part of a larger pedagogical change project (described below), the math department at a public Research-1 university began transitioning pre-calculus and calculus courses to an active and collaborative learning (ACL) format in Fall 2019. The change began with the introduction of collaborative worksheets in recitations which were led by GTAs and supported by undergraduate learning assistants (LAs). Students recitation periods collaboratively solving the worksheet problems on whiteboards. When COVID-19 forced the rapid transition to online teaching, these ACL efforts faced an array of challenges. Faculty and GTA reflections on the changes to teaching and learning provide insight into how instructional staff can be supported in implementing ACL across various modes of instruction. The calculus teaching change efforts discussed in this paper are part of an NSF-supported project that aims to make ACL the default method of instruction in highly enrolled gateway STEM courses across the institution. The theoretical framework for the project builds on existing work on grassroots change in higher education (Kezar and Lester, 2011) to study the effect of communities of practice on changing teaching culture. The project uses course-based communities of practice (Wenger, 1999) that include instructors, GTAs, and LAs working together to design and enact teaching change in the targeted courses alongside ongoing professional development for GTAs and LAs. Six faculty and five GTAs involved in the teaching change effort in mathematics were interviewed after the Spring 2020 semester ended. Interview questions focused on faculty and GTA experiences implementing active learning after the rapid transition to online teaching. A grounded coding scheme was used to identify common themes in the challenges faced by instructors and GTAs as they moved online and in the impacts of technology, LA support, and the department community of practice on the move to online teaching. Technology, including both access and capabilities, emerged as a common barrier to student engagement. A particular barrier was students’ reluctance to share video or participate orally in sessions that were being recorded, making group work more difficult than it had been in a physical classroom. In addition, most students lacked access to a tablet for freehand writing, presenting a significant hurdle for sharing mathematical notation when physical whiteboards were no longer an option. These challenges point to the importance of incorporating flexibility in active learning implementation and in the professional development that supports teaching changes toward active learning, since what is conceived for a collaborative physical classroom may be implemented in a much different environment. The full paper will present a detailed analysis of the data to better understand how faculty and GTA experiences in the transition to online delivery can inform planning and professional development as the larger institutional change effort moves forward both in mathematics and in other STEM fields. 

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2. Scaffolding Spatial Abilities in Integral Calculus

   Davishahl, E. ; Singleton, L. ; Haskell, T. ; Rupe, K. ; Glen, L. ( June 2022 , Proceedings ASEE annual conference)

   This NSF-IUSE exploration and design project began in fall 2018 and features cross-disciplinary collaboration between engineering, math, and psychology faculty to develop learning activities with hands-on models and manipulatives. We are exploring how best to design these activities to support learners’ development of conceptual understanding and representational competence in integral calculus and engineering statics, two foundational courses for most engineering majors. A second goal is to leverage the model-based activities to scaffold spatial skills development in the context of traditional course content. As widely reported in the literature, well-developed spatial abilities correlate with student success and persistence in many STEM majors. We provided calculus students in selected intervention sections taught by four instructors at three different community colleges with take-home model kits that they could reference for a series of asynchronous learning activities. Students in these sections completed the Purdue Spatial Visualization Test: Rotations (PSVT:R) in the first and last weeks of their course. We also administered the assessment in multiple control sections (no manipulatives) taught by the same faculty. This paper analyzes results from fall 2020 through fall 2021 to see if there is any difference between control and intervention sections for the courses as a whole and for demographic subgroups including female-identifying students and historically-underserved students of color. All courses were asynchronous online modality in the context of the COVID-19 pandemic. We find that students in intervention sections of calculus made slightly larger gains on the PSVT:R, but this result is not statistically significant as a whole or for any of the demographic subgroups considered. We also analyzed final course grades for differences between control and intervention sections and found no differences. We found no significant effect of the presence of the model-based activities leading to increased PSVT:R gains or improved course grades. We would not extend this conclusion to face-to-face implementation, however, due primarily to the compromises made to adapt the curriculum from in-person group learning to asynchronous individual work and inconsistent engagement of the online students with the modeling activities. 

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3. Scaffolding Spatial Abilities in Integral Calculus

   Davishahl, E. ; Singleton, L. ; Haskell, T. ; Rupe, K. ; Glen, L. ( June 2022 , 2022 ASEE Annual Conference & Exposition)

   This NSF-IUSE exploration and design project began in fall 2018 and features cross-disciplinary collaboration between engineering, math, and psychology faculty to develop learning activities with hands-on models and manipulatives. We are exploring how best to design these activities to support learners’ development of conceptual understanding and representational competence in integral calculus and engineering statics, two foundational courses for most engineering majors. A second goal is to leverage the model-based activities to scaffold spatial skills development in the context of traditional course content. As widely reported in the literature, well-developed spatial abilities correlate with student success and persistence in many STEM majors. We provided calculus students in selected intervention sections taught by four instructors at three different community colleges with take-home model kits that they could reference for a series of asynchronous learning activities. Students in these sections completed the Purdue Spatial Visualization Test: Rotations (PSVT:R) in the first and last weeks of their course. We also administered the assessment in multiple control sections (no manipulatives) taught by the same faculty. This paper analyzes results from fall 2020 through fall 2021 to see if there is any difference between control and intervention sections for the courses as a whole and for demographic subgroups including female-identifying students and historically-underserved students of color. All courses were asynchronous online modality in the context of the COVID-19 pandemic. We find that students in intervention sections of calculus made slightly larger gains on the PSVT:R, but this result is not statistically significant as a whole or for any of the demographic subgroups considered. We also analyzed final course grades for differences between control and intervention sections and found no differences. We found no significant effect of the presence of the model-based activities leading to increased PSVT:R gains or improved course grades. We would not extend this conclusion to face-to-face implementation, however, due primarily to the compromises made to adapt the curriculum from in-person group learning to asynchronous individual work and inconsistent engagement of the online students with the modeling activities. 

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4. Faculty perceptions of and approaches towards engineering student motivation at Hispanic Serving Institutions

   Salgado, H ; Kendall, M ; Urquidi, Y ; Coso Strong, A ( July 2021 , American Society for Engineering Education Annual Conference)

   This research paper examines faculty perceptions of and approaches towards fostering students’ motivation to learn engineering at Hispanic-Serving Institutions (HSIs). By aligning learning experiences with what motivates Hispanic or Latinx students, the resulting higher student motivation could increase the sense of belonging for underrepresented populations in engineering, ultimately improving student retention and persistence through meaningful instructional practices. Motivation to learn encompasses individuals' perspectives about themselves, the course material, the broader educational curriculum, and their role in their own learning [1]. Students’ motivation can be supported or hindered by their interactions with others, peers, and educators. As such, an educator’s teaching style is a critical part of this process [2]. Therefore, because of the link between a faculty member’s ability to foster student motivation and improved learning outcomes, this paper seeks to explore how engineering faculty approach student motivation in their course designs at Hispanic-Serving Institutions. Humans are curious beings naturally drawn to exploration and learning. Self Determination Theory (SDT), popularized by Ryan and Deci, describes the interconnection of extrinsic (external) and intrinsic (internal) motivators, acknowledging the link between student’s physiological needs and their learning motivations [1], [3]. SDT proposes that students must experience the satisfaction of competence, autonomy, and relatedness for a high level of intrinsic motivation. Further, research indicates that appropriately structured, highly autonomy-supportive teaching styles that foster intrinsic motivation are associated with improved student outcomes [2]. However, further research is needed to observe how faculty prioritize students’ innate needs and how they seek to foster student motivation in tangible ways within their engineering classrooms. Therefore, this paper seeks to answer the following research question: What educational supports do engineering faculty at HSIs propose to embed in their curricula to increase their students’ intrinsic motivation? To answer this question, thirty-six engineering educators from thirteen two- and four-year HSIs from across the continental United States were introduced to the SDT and approaches for supporting students’ intrinsic motivation during a multi-institutional faculty development workshop series. Participants were asked to reflect on and prototype learning experiences that would promote intrinsic motivation and fulfill students’ needs for competence, relatedness, and autonomy to learn engineering [1]. Data were collected through a series of reflection worksheets where participants were asked to describe their target stakeholders, define a course redesign goal, and generate possible solutions while considering the impact of the redesign on student motivation. Qualitative analysis was used to explore participant responses. Analysis indicates that the participants were more likely to simultaneously address multiple motivational constructs when attempting to improve student motivation, rather than addressing them individually. Some of these approaches included the adoption of autonomy-supportive and structured teaching styles. As a result of this research, there is potential to influence future faculty development opportunities at HSIs and further explore intentional learning experiences that promote and foster intrinsic motivation in the engineering classroom. 

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5. Faculty Experiences with Hands-On Models for Calculus Instruction

   Davishahl, Eric ; Rupe, Kathryn M. ; Singleton, Lee ( June 2023 , 2023 ASEE National Conference and Exposition)

   This NSF-IUSE exploration and design project began in Fall 2018 and features cross-disciplinary collaboration between engineering, math, psychology, and math education faculty to develop learning activities with 3D-printed models for integral calculus and engineering statics. We are exploring how such models can scaffold spatial abilities and support learners’ development of conceptual understanding and representational competence. The project is addressing these questions through parallel work piloting model-based learning activities in the classroom and by investigating specific attributes of the activities in lab studies and focus groups. To date we have developed and piloted a mature suite of activities covering a variety of topics for both calculus and statics. After a year of classroom implementation and data collection at the institution where the curriculum was developed, the project team recruited math and engineering faculty from three other colleges to pilot the models starting Fall 2020. The goal of this expansion was to increase sample sizes and diversity for statistical analysis of classroom data and to learn about the experiences of faculty as they integrated the curriculum materials into their own courses. The original vision was for faculty to use the models in face-to-face instruction, but the transition to online modality in response to the COVID-19 pandemic forced a rapid pivot during this expansion that we reported on previously. Faculty participants who chose to continue with the project worked to incorporate the models in parallel with their respective efforts to adapt to online teaching. This poster focuses on the experiences of the participating math faculty. Ultimately these faculty taught online calculus courses both with and without the models from Fall 2020 through Spring 2022. We conducted pre and post participation interviews and report on their experiences. All participants reported their intention to continue to use the models beyond conclusion of the project and planned to try them in face-to-face instruction. The paper will discuss more details about the interview findings and conclude by making some recommendations for others who may be interested in exploring the use of hands-on models in Calculus instruction. 

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