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1. Finding their voice: Support mechanisms to engage and empower future mathematics teachers.

   Gomez Johnson, K. ( July 2019 , Proceedings of the Eighth Annual Mathematics Teacher Education Partnership Conference)

   Smith, W. M. (Ed.)

   The NebraskaMATH Omaha Noyce Partnership Scholarship awards scholarships funded by the National Science Foundation (NSF) to undergraduate students interested in mathematics education at the University of Nebraska at Omaha (UNO). Scholars, who are dual mathematics and secondary education majors, are engaged and supported by Noyce faculty to not only excel in their college coursework and career preparation, but also to serve the university and community through teaching assistantships and STEM community outreach. The main goal of this program is to strengthen and expand the pipeline for preparing high-quality teachers of mathematics to better meet the responsibilities and demands of local school districts, particularly those serving students with high-need. Cross-campus collaborations between the departments of teacher education and mathematics co-constructed the Noyce infrastructure to emphasize and share the development of future, high-quality secondary mathematics teachers (Mathematics Teacher Education Partnership, 2014). This paper describes our program’s unique design and implementation features aimed to empower, engage, and extend the talents of our undergraduate students. We share lessons learned and recommendations from faculty and participants regarding decisions and facets of the program considered to be most influential in STEM teacher and leadership development. 

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2. Encountering ideas about teaching and learning mathematics in undergraduate mathematics courses

   https://doi.org/10.1007/s11858-022-01454-3  

   Burroughs, Elizabeth A. ; Arnold, Elizabeth G. ; Álvarez, James A. M. ; Kercher, Andrew ; Tremaine, Rachel ; Fulton, Elizabeth ; Turner, Kyle ( January 2023 , ZDM – Mathematics Education)

   We study the ideas about teaching and learning mathematics that undergraduate students generate when they encounter tasks designed to embed approximations of teaching practice in mathematics courses taken by a general population of students. These tasks attend to the dual goals of developing an understanding of mathematics content and an understanding of how teachers provide classroom experiences that foster mathematics learning. The study employs a qualitative, multiple-case study methodology, with four cases bounded by the content areas of abstract algebra, single variable calculus, discrete mathematics, and introductory statistics. The data for the study come from undergraduate students’ written work on mathematical tasks, interviews with a subset of students from each course, and interviews with each instructor throughout the term during which they implemented the tasks. Our findings indicate that students identified the broad applicability of teaching skills (discussed by 32 of the 61 interviewed students), recognized the value of examining hypothetical learners’ mathematical work (discussed by 59 of the 61 interviewed students), and reported empathy for hypothetical learners (discussed by 38 of the 61 interviewed students). These findings persisted across the course content and course levels we studied, leading us to conclude that our findings can transfer to additional mathematics courses in secondary mathematics teacher preparation.

    

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3. Moving Toward Transdisciplinary Learning Around Topics of Convergence: Is it really Possible in Higher Education Today?

   Strimel, G. ; Pruim, D. ; Briller, S. ; Martinez, R. ; Lucas, D. ; Kelley, T. ; Sohn, J. ( June 2023 , Review directory American Society for Engineering Education)

   There have been numerous demands for enhancements in the way undergraduate learning occurs today, especially at a time when the value of higher education continues to be called into question (The Boyer 2030 Commission, 2022). One type of demand has been for the increased integration of subjects/disciplines around relevant issues/topics—with a more recent trend of seeking transdisciplinary learning experiences for students (Sheets, 2016; American Association for the Advancement of Science, 2019). Transdisciplinary learning can be viewed as the holistic way of working equally across disciplines to transcend their own disciplinary boundaries to form new conceptual understandings as well as develop new ways in which to address complex topics or challenges (Ertas, Maxwell, Rainey, & Tanik, 2003; Park & Son, 2010). This transdisciplinary approach can be important as humanity’s problems are not typically discipline specific and require the convergence of competencies to lead to innovative thinking across fields of study. However, higher education continues to be siloed which makes the authentic teaching of converging topics, such as innovation, human-technology interactions, climate concerns, or harnessing the data revolution, organizationally difficult (Birx, 2019; Serdyukov, 2017). For example, working across a university’s academic units to collaboratively teach, or co-teach, around topics of convergence are likely to be rejected by the university systems that have been built upon longstanding traditions. While disciplinary expertise is necessary and one of higher education’s strengths, the structures and academic rigidity that come along with the disciplinary silos can prevent modifications/improvements to the roles of academic units/disciplines that could better prepare students for the future of both work and learning. The balancing of disciplinary structure with transdisciplinary approaches to solving problems and learning is a challenge that must be persistently addressed. These institutional challenges will only continue to limit universities seeking toward scaling transdisciplinary programs and experimenting with novel ways to enhance the value of higher education for students and society. This then restricts innovations to teaching and also hinders the sharing of important practices across disciplines. To address these concerns, a National Science Foundation Improving Undergraduate STEM Education project team, which is the topic of this paper, has set the goal of developing/implementing/testing an authentically transdisciplinary, and scalable educational model in an effort to help guide the transformation of traditional undergraduate learning to span academics silos. This educational model, referred to as the Mission, Meaning, Making (M3) program, is specifically focused on teaching the crosscutting practices of innovation by a) implementing co-teaching and co-learning from faculty and students across different academic units/colleges as well as b) offering learning experiences spanning multiple semesters that immerse students in a community that can nourish both their learning and innovative ideas. As a collaborative initiative, the M3 program is designed to synergize key strengths of an institution’s engineering/technology, liberal arts, and business colleges/units to create a transformative undergraduate experience focused on the pursuit of innovation—one that reaches the broader campus community, regardless of students’ backgrounds or majors. Throughout the development of this model, research was conducted to help identify institutional barriers toward creating such a cross-college program at a research-intensive public university along with uncovering ways in which to address these barriers. While data can show how students value and enjoy transdisciplinary experiences, universities are not likely to be structured in a way to support these educational initiatives and they will face challenges throughout their lifespan. These challenges can result from administration turnover whereas mutual agreements across colleges may then vanish, continued disputes over academic territory, and challenges over resource allotments. Essentially, there may be little to no incentives for academic departments to engage in transdisciplinary programming within the existing structures of higher education. However, some insights and practices have emerged from this research project that can be useful in moving toward transdisciplinary learning around topics of convergence. Accordingly, the paper will highlight features of an educational model that spans disciplines along with the workarounds to current institutional barriers. This paper will also provide lessons learned related to 1) the potential pitfalls with educational programming becoming “un-disciplinary” rather than transdisciplinary, 2) ways in which to incentivize departments/faculty to engage in transdisciplinary efforts, and 3) new structures within higher education that can be used to help faculty/students/staff to more easily converge to increase access to learning across academic boundaries. 

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4. What do Undergraduate Engineering Students and Pre-service Teachers Learn by Collaborating and Teaching Engineering and Coding Through Robotics?

   Kidd, J. ; Kaipa, K. ; Sacks, S. ; Ringleb, S. ; Pazos, P. ; Gutierrez, K. ; Ayala, O. M. ; de Souza Almeida, L. M. ( June 2020 , 2020 ASEE Virtual Annual Conference Content Access, Virtual Online)

   This research paper presents preliminary results of an NSF-supported interdisciplinary collaboration between undergraduate engineering students and preservice teachers. The fields of engineering and elementary education share similar challenges when it comes to preparing undergraduate students for the new demands they will encounter in their profession. Engineering students need interprofessional skills that will help them value and negotiate the contributions of various disciplines while working on problems that require a multidisciplinary approach. Increasingly, the solutions to today's complex problems must integrate knowledge and practices from multiple disciplines and engineers must be able to recognize when expertise from outside their field can enhance their perspective and ability to develop innovative solutions. However, research suggests that it is challenging even for professional engineers to understand the roles, responsibilities, and integration of various disciplines, and engineering curricula have traditionally left little room for development of non-technical skills such as effective communication with a range of audiences and an ability to collaborate in multidisciplinary teams. Meanwhile, preservice teachers need new technical knowledge and skills that go beyond traditional core content knowledge, as they are now expected to embed engineering into science and coding concepts into traditional subject areas. There are nationwide calls to integrate engineering and coding into PreK-6 education as part of a larger campaign to attract more students to STEM disciplines and to increase exposure for girls and minority students who remain significantly underrepresented in engineering and computer science. Accordingly, schools need teachers who have not only the knowledge and skills to integrate these topics into mainstream subjects, but also the intention to do so. However, research suggests that preservice teachers do not feel academically prepared and confident enough to teach engineering-related topics. This interdisciplinary project provided engineering students with an opportunity to develop interprofessional skills as well as to reinforce their technical knowledge, while preservice teachers had the opportunity to be exposed to engineering content, more specifically coding, and develop competence for their future teaching careers. Undergraduate engineering students enrolled in a computational methods course and preservice teachers enrolled in an educational technology course partnered to plan and deliver robotics lessons to fifth and sixth graders. This paper reports on the effects of this collaboration on twenty engineering students and eight preservice teachers. T-tests were used to compare participants’ pre-/post- scores on a coding quiz. A post-lesson written reflection asked the undergraduate students to describe their robotics lessons and what they learned from interacting with their cross disciplinary peers and the fifth/sixth graders. Content analysis was used to identify emergent themes. Engineering students’ perceptions were generally positive, recounting enjoyment interacting with elementary students and gaining communication skills from collaborating with non-technical partners. Preservice teachers demonstrated gains in their technical knowledge as measured by the coding quiz, but reported lacking the confidence to teach coding and robotics independently of their partner engineering students. Both groups reported gaining new perspectives from working in interdisciplinary teams and seeing benefits for the fifth and sixth grade participants, including exposing girls and students of color to engineering and computing. 

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5. Undergraduate Research in Mathematics Education: Using Qualitative Data About Children’s Learning to Make Decisions About Teaching

   https://doi.org/10.5951/MTE.2020.0008  

   Groth, R. E. ; Bergner, J.A. ; Austin, J.W. ; Burgess, C.R. ; Holdai, V. ( January 2020 , Mathematics teacher educator)

   Undergraduate research is increasingly prevalent in many fields of study, but it is not yet widespread in mathematics education. We argue that expanding undergraduate research opportunities in mathematics education would be beneficial to the field. Such opportunities can be impactful as either extracurricular or course-embedded experiences. To help readers envision directions for undergraduate research experiences in mathematics education with prospective teachers, we describe a model built on a design-based research paradigm. The model engages pairs of prospective teachers in working with faculty mentors to design instructional sequences and test the extent to which they support children’s learning. Undergraduates learn about the nature of systematic mathematics education research and how careful analyses of classroom data can guide practice. Mentors gain opportunities to pursue their personal research interests while guiding undergraduate pairs. We explain how implementing the core cycle of the model, whether on a small or large scale, can help teachers make instructional decisions that are based on rich, qualitative classroom data. 

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