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1. Conceptualizing mathematics modules that integrate professional noticing and equity.

   Jong, C. (January 2021, Psychology of Mathematics Education North America Chapter)

   Olanoff, D. (Ed.)

   In this paper, we describe the theory guiding the development of microlearning modules connecting noticing and equity in mathematics. Gutiérrez’s (2009) four dimensions of equity framework is used to inform the modules. The professional noticing of children’s mathematical thinking (Jacobs, Lamb, & Philipp, 2010) is also woven into the module development. We analyze data from preservice elementary teachers’ ideas about equity and responses to a video to inform our project and discuss the importance of making equity explicit in mathematics methods courses. Results indicate that preservice elementary teachers’ ideas of equity primarily fall into the dominant axes of access and achievement, but also show evidence of the critical axes of identity and power in responses to the classroom video. 

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2. Preservice Teachers’ Professional Noticing When Viewing Standard and 360 Video

   https://doi.org/10.1177/0022487120939544  

   Kosko, Karl W.; Ferdig, Richard E.; Zolfaghari, Maryam (May 2021, Journal of Teacher Education)

   Use of video as a representation of practice in teacher education is commonplace. The current study explored the use of a new format (360 video) in the context of preservice teachers’ professional noticing. Findings suggest that preservice teachers viewing 360 videos attended to more student actions than their peers viewing standard video. In addition, using a virtual reality headset to view the 360 videos led to different patterns in where preservice teachers looked in the recorded classroom, and to increased specificity of mathematics content from the scenario. Thus, findings and results support the use of 360 video in teacher education to facilitate teacher noticing. However, future research is needed to further explore this novel technology. 

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3. Race, Gender, and Teacher Equity Beliefs: Construct Validation of the Attributions of Mathematical Excellence Scale

   https://doi.org/10.1177/23328584221130999  

   Jacobson, Erik; Cross Francis, Dionne; Willey, Craig; Wilkins-Yel, Kerrie (January 2022, AERA Open)

   Teachers’ beliefs can have powerful consequences on instructional decisions and student learning. However, little research focuses on how teachers’ beliefs about the role of race and gender in mathematics teaching and learning influence educational equity within classrooms. This gap is partly due to the lack of studies focused on variation within classrooms, which in turn is hampered by the lack of instruments designed to measure mathematics-specific equity beliefs. In this study of 313 preservice and practicing elementary teachers, we report evidence of construct validity for the Attributions of Mathematical Excellence Scale. Factor analyses provide support for a four-factor structure, including genetic, social, personal, and educational attributions. The findings suggest that the same system of attribution beliefs underlies both racial and gender prejudice among elementary mathematics teachers. The Attributions of Mathematical Excellence Scale has the potential to provide a useful outcome measure for equity-focused interventions in teacher education and professional development. 

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4. The self as noticer: Supporting preservice teachers’ developing awareness.

   Rubin, E. B.; van Es, E. A. (January 2022, Proceedings of the 44th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education)

   Lischka, A. E.; Dyer, E. B.; Jones, R. S.; Lovett, J. N.; Strayer, J.; Drown, S. (Ed.)

   Gaining insight into how one’s noticing shapes decision-making can enable a teacher to reflect on how they frame, interpret, and respond to classroom activity and disrupt the influence of dominant ideologies. Working in the context of teacher education, we conjectured that systematically analyzing and reflecting on their own noticing can enable preservice teachers (PSTs) in mathematics to develop more equitable practices. Using data from summative assignments in a course on advancing equitable teaching, we investigate how PSTs use lenses of equitable teaching to make sense of their noticing and develop conceptions of equity. Analysis reveals that PSTs engaged in meaningful reflection and adopted terms from the course but avoided discussing the sociopolitical dimensions of instruction. These findings have implications for course design and facilitation in the context of developing PSTs’ noticing for equity. 

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5. Design principles for examining student practices in a technology-mediated environment: The function concept module.

   Lovett, J. N.; McCulloch, A. W.; Dick, L. K.; Cayton, C. (June 2020, Mathematics teacher educator)

   In this article, we present a set of design principles to guide the development of instructional materials aimed to support preservice secondary mathematics teachers (PSMTs) examining student practices in technology-mediated environments. To develop design principles, we drew on the literature related to technological pedagogical content knowledge (TPACK; Niess, 2005), video cases as learning objects (Sherin & van Es, 2005), and professional noticing (Jacobs, et al., 2010). After presenting the design principles, we share a task created using these design principles. Finally, we share PSMTs’ refections about changes in their own understanding after examining students’ practices. Their responses provide insights into the usefulness of the design principles for deepening PSMTs’ mathematical knowledge and knowledge of students’ understanding, thinking, and learning with technology. 

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