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While student-centered learning has been shown to improve learning experiences in the engineering classroom, adoption of these evidence-based strategies has been slow. Research has shown that faculty beliefs about teaching and limited exposure to formal training influence effective implementation of evidenced-based instructional practices. Thus, in an effort to explore ways to implement long-term instructional change in engineering higher education, a graduate-level course, the Instructional Incubator (I2), was developed to expose future educators to instructional design and evidence-based practices. In the I2, student participants developed new biomedical engineering short-courses in an active learning classroom. For the first two iterations of the I2, we examined how this immersive experience influenced participants’ perceived teaching abilities and understanding before and after enrolling in the I2. Both I2 cohorts reported an increase in knowledge of engineering education related terms and showed a shift away from behaviorist and cognitive beliefs about teaching and learning. Introduction
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Lessons Learned About Incorporating High-Leverage Teaching Practices in the Undergraduate Proof Classroom to Promote Authentic and Equitable Participation
In recent years, professional organizations in the United States have suggested undergraduate mathematics shift away from pure lecture format. Transitioning to a student-centered class is a complex instructional undertaking especially in the proof-based context. In this paper, we share lessons learned from a design-based research project centering instructional elements as objects of design. We focus on how three high leverage teaching practices (HLTP; established in the K-12 literature) can be adapted to the proof context to promote student engagement in authentic proof activity with attention to issues of access and equity of participation. In general, we found that HLTPs translated well to the proof setting, but required increased attention to navigating between formal and informal mathematics, developing precision around mathematical objects, supporting competencies beyond formal proof construction, and structuring group work. We position this paper as complementary to existing research on instructional innovation by focusing not on task trajectories, but on concrete teaching practices that can support successful adaption of student-centered approaches.
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- Award ID(s):
- 1836559
- PAR ID:
- 10399290
- Date Published:
- Journal Name:
- International Journal of Research in Undergraduate Mathematics Education
- ISSN:
- 2198-9745
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.1007/s40753-022-00200-0
