Title: Where’s My Whiteboard? The Challenge of Moving Active-learning Mathematics Classes Online
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. more »« less
Houston, Scotty; Webb, Jessica; Shannon, Dave; Olson, Gary; Harrell-Williams, Leigh(
, 2021 Research in Undergraduate Mathematics Education Reports)
Karunakaran, S. S.; Higgins, A.
(Ed.)
The abrupt switch from in-person instruction and tutoring to remote or online instruction and tutoring as a result of the COVID-19 pandemic in March 2020 was difficult for even the most experienced instructor. In this paper, we explore how graduate teaching assistants (GTAs) at three different institutions responded to and experienced this change. Data was collected from surveys and focus groups conducted with graduate teaching assistants at each institution, as part of our ongoing collaborative NSF-funded project focusing on equipping mathematical sciences GTAs to become better teachers. In their responses, the graduate teaching assistants discussed topics ranging from what they did in their remote classrooms to the challenges they faced and supports they received from their department, university, and fellow classmates and faculty.
Davishahl, Eric; Rupe, Kathryn M.; Singleton, Lee(
, 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.
Davishahl, E.; Rupe, K. M.; Singleton, L.(
, 2023 ASEE Annual Conference & 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.
Electrical and computer engineering technologies have evolved into dynamic, complex systems that profoundly change the world we live in. Designing these systems requires not only technical knowledge and skills but also new ways of thinking and the development of social, professional and ethical responsibility. A large electrical and computer engineering department at a Midwestern public university is transforming to a more agile, less traditional organization to better respond to student, industry and society needs. This is being done through new structures for faculty collaboration and facilitated through departmental change processes. Ironically, an impetus behind this effort was a failed attempt at department-wide curricular reform. This failure led to the recognition of the need for more systemic change, and a project emerged from over two years of efforts.
The project uses a cross-functional, collaborative instructional model for course design and professional formation, called X-teams. X-teams are reshaping the core technical ECE curricula in the sophomore and junior years through pedagogical approaches that (a) promote design thinking, systems thinking, professional skills such as leadership, and inclusion; (b) contextualize course concepts; and (c) stimulate creative, socio-technical-minded development of ECE technologies. An X-team is comprised of ECE faculty members including the primary instructor, an engineering education and/or design faculty member, an industry practitioner, context experts, instructional specialists (as needed to support the process of teaching, including effective inquiry and inclusive teaching) and student teaching assistants. X-teams use an iterative design thinking process and reflection to explore pedagogical strategies. X-teams are also serving as change agents for the rest of the department through communities of practice referred to as Y-circles. Y-circles, comprised of X-team members, faculty, staff, and students, engage in a process of discovery and inquiry to bridge the engineering education research-to-practice gap. Research studies are being conducted to answer questions to understand (1) how educators involved in X-teams use design thinking to create new pedagogical solutions; (2) how the middle years affect student professional ECE identity development as design thinkers; (3) how ECE students overcome barriers, make choices, and persist along their educational and career paths; and (4) the effects of department structures, policies, and procedures on faculty attitudes, motivation and actions.
This paper will present the efforts that led up to the project, including failures and opportunities. It will summarize the project, describe related work, and present early progress implementing new approaches.
The Mechanical Engineering Department at a private, mid-sized university was awarded the National Science Foundation (NSF) Revolutionizing Engineering and Computer Science Departments (RED) grant in July 2017 to support the development of a program that fosters students’ engineering identities in a culture of doing engineering with industry engineers. The Department is cultivating this culture of “engineering with engineers” through a strong connection to industry, and through changes in the four essential areas of, a shared department vision, faculty, curriculum and supportive policies.
This paper reports our continued efforts in these four areas and our measurement of their impact. Shared department vision: During the first year of the project, the department worked together to revise its mission to reflect the goal of fostering engineering identity. From this shared vision, the department aims to build a culture to promote inclusive practices. In the past year during the COVID-19 pandemic, this shared vision continued to guide many acts of care and community building for the department.
Faculty: The pandemic prompted faculty to reflect on how they delivered their courses and cared for students. To promote inclusive practice, faculty utilized recorded lectures, online collaboration tools and instant messaging apps to provide multiple ways of communication for students. Although faculty summer immersion had to be postponed due to pandemic, interactions with industry continued in design courses, and via virtual seminars and socials. Efforts were also extended to strengthen connections between the department and recent graduates who just began working in industry and could become mentors for current students.
Curriculum: A new curriculum to support the goals of this project was rolled out in the 2019-20 academic year. The pandemic hit right in the middle of the initial implementation of this new curriculum. Therefore, to maintain the essence of the new curriculum that emphasizes hands-on, doing engineering and experiential learning in the remote setting, many adjustments and modifications were made. Although initial evidence indicates the effectiveness of the new courses/curriculum even under remote teaching and learning, there are also many lessons-learned that can be examined for future implementations and modifications of the curriculum.
Supportive policies: The department agreed to celebrate various acts of care for students and cares for teaching and learning in Annual Performance Reviews. Faculty also worked with other departments, the college, and the university to develop supportive policies beyond the department. For example, based on the recommendation from the department, the college set up a Student Advocate role who would assist students navigate through any incident that make they feel excluded. The new university tenure and promotion guidelines have just been approved with the support from the faculty in the department. Additionally, the department’s effort of building an inclusive culture is aligned with the university initiative for a reform to emphasize anti-racism curriculum.
Details of the action items in each area of change that the department has taken to build this inclusive culture to foster engineering identity are shared in this paper. In addition, research gauging the impact of our efforts are discussed.
This project was funded by the Division of Undergraduate Education (DUE) IUSE/PFE: RED grant through NSF.
Nelson, Jill K., Rosenberg, Jessica, Fernandez, Kathryn, and Shank, Julie. Where’s My Whiteboard? The Challenge of Moving Active-learning Mathematics Classes Online. Retrieved from https://par.nsf.gov/biblio/10299656. 2021 ASEE Virtual Annual Conference .
Nelson, Jill K., Rosenberg, Jessica, Fernandez, Kathryn, and Shank, Julie.
"Where’s My Whiteboard? The Challenge of Moving Active-learning Mathematics Classes Online". 2021 ASEE Virtual Annual Conference (). Country unknown/Code not available. https://par.nsf.gov/biblio/10299656.
@article{osti_10299656,
place = {Country unknown/Code not available},
title = {Where’s My Whiteboard? The Challenge of Moving Active-learning Mathematics Classes Online},
url = {https://par.nsf.gov/biblio/10299656},
abstractNote = {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.},
journal = {2021 ASEE Virtual Annual Conference},
author = {Nelson, Jill K. and Rosenberg, Jessica and Fernandez, Kathryn and Shank, Julie},
editor = {null}
}
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