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1. From terrified to comfortable: a fourth-grade teacher’s journey in teaching coding

   https://doi.org/10.51272/pmena.42.2020-323  

   Menke, Jenna; Miller, Claire (December 2020, Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education)

   Sacristán, A.I.; Cortés-Zavala, J.C.; Ruiz-Arias, P.M. (Ed.)

   Collective Argumentation Learning and Coding (CALC) is a project focused on providing teachers with strategies to engage students in collective argumentation in mathematics, science, and coding. Collective argumentation can be characterized by any instance where multiple people (teachers and students) work together to establish a claim and provide evidence to support it (Conner et al., 2014b). Collective argumentation is an effective approach for promoting critical and higher order thinking and supporting students’ ability to articulate and justify claims. The goal of the CALC project is to help elementary school teachers extend the use of collective argumentation from teaching mathematics and science to teaching coding. Doing so increases the probability that teachers will integrate coding in regular classroom instruction, making it accessible to all students. This project highlighted Gloria (pseudonym), a fourth-grade teacher from Cohort 1 because of the extent to which she went from fear of coding to fluent implementation. Initially, Gloria was comfortable engaging her students in argumentation, explaining they already used it in mathematics with Cognitively Guided Instruction (CGI). However, she was “terrified” about learning to code because she didn’t view herself as proficient with technology. She was willing to overcome her fear of coding because she saw the value in providing her students with coding experiences that would help them develop the necessary skills for our increasingly technological society. In the course of three months, Gloria’s instruction progressed from using simple coding activities to more sophisticated coding platforms. This progression in her coding instruction paralleled the change in her personal feelings about coding as she moved from “terrified” to “comfortable with it”. 

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2. “Even when it was hard, you pushed us to improve”: Emotions and teacher learning in coaching conversations

   https://doi.org/10.1016/j.tate.2022.103934  

   Schneeberger_McGugan, Katherine; Horn, Ilana Seidel; Garner, Brette; Marshall, Samantha (January 2023, Teaching and Teacher Education)

   We investigate the role of teachers' edge-emotions in coaching conversations. While emotions are common in instructional coaching, they are under-examined in research. This qualitative study examines a particularly emotional coaching event that we facilitated with an experienced mathematics teacher. We use Kerdeman's (2003) framework of being “pulled up short” to describe how the teacher's under- standing of her lesson was interrupted, resulting in negative emotions. She was ultimately motivated to transform her practice with our empathy and sustained support. We discuss implications for instruc- tional coaching, particularly how edge-emotions can be leveraged to support teachers' conceptual change. 

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3. Teaching secondary mathematics lessons for joy and wonder

   Scheitlin, K.; Dietiker, L.; Riling, M. (October 2023, Association of Mathematics Teaching)

   As a group of teachers and researchers in the USA who have collaborated to design captivating lessons with this story perspective, we have been exploring how centring students’ aesthetic reactions in our design process can result in lessons that are more captivating (Dietiker et al., 2019). In this article, we share a lesson designed by one teacher (Kayla) in collaboration with her co-authors and colleagues. This lesson was enacted with her Year 10 students (aged 14–15) in a non-accelerated integrated mathematics course at a diverse high school in a working-class suburb. 

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4. Secondary Mathematics Teachers’ Efforts to Engage Students through Academic and Social Support

   Jansen, A. (January 2019, Proceedings of the 41st annual meeting of the North American Chapter for the International Group for the Psychology of Mathematics Education)

   Teachers' efforts to support students, both academically and socially, can play a role in how high school students productively engage with mathematics in the moment. To examine the connection between teacher support and student engagement, we conducted an exploratory mixed-methods study combining data from 20 high school classroom observations with student self-reports taken during the observed activity. Our findings indicate that when teachers provide academic support to their students during a lesson, they are also likely to provide social support. Higher teacher support of both kinds correlates with higher student self-efficacy, as well as social and cognitive engagement. Investigating relationships between observations of teaching and students' self-reports of engagement in-the-moment is a potentially revealing approach for uncovering engaging instructional strategies in secondary mathematics classrooms. 

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5. A Sociocultural Perspective on Beginning Teachers Enacting Reasoning and Proving Practices

   Weingarden, M.; Buchbinder, O. (January 2022, Proceedings of the Annual Conference on Research in Undergraduate Mathematics Education)

   Karunakaran, S. S.; Higgins, A. (Ed.)

   The critical role of teachers in supporting student engagement with reasoning and proving has long been recognized (Nardi & Knuth, 2017; NCTM, 2014). While some studies examined how prospective secondary teachers (PSTs) develop dispositions and teaching practices that promote student engagement with reasoning and proving (e.g., Buchbinder & McCrone, 2020; Conner, 2007), very little is known about long-term development of proof-related practices of beginning teachers and what factors affect this development (Stylianides et al., 2017). During the supervised teaching experiences, interns often encounter tensions between balancing their commitments to the university and cooperating teacher, while also developing their own teaching styles (Bieda et al., 2015; Smagorinsky et al., 2004; Wang et al., 2008). Our study examines how sociocultural contexts of the teacher preparation program and of the internship school, supported or inhibited proof-related teaching practices of beginning secondary mathematics teachers. In particular, this study aims to understand the observed gap between proof-related teaching practices of one such teacher, Olive, in two settings: as a PST in a capstone course Mathematical Reasoning and Proving for Secondary Teachers (Buchbinder & McCrone, 2020) and as an intern in a high-school classroom. We utilize activity theory (Leont’ev, 1979) and Engeström’s (1987) model of an activity system to examine how the various components of the system: teacher (subject), teaching (object), the tasks (tools), the curriculum and the expected teaching style (rules), the cooperating teacher (community) and their involvement during the teaching (division of labor) interact with each other and affect the opportunities provided to students to engage with reasoning and proving (outcome). The analysis of four lessons from each setting, lesson plans, reflections and interviews, showed that as a PST, Olive engaged students with reasoning and proving through productive proof-related teaching practices and rich tasks that involved conjecturing, justifying, proving and evaluating arguments. In a sharp contrast, as an intern, Olive had to follow her school’s rigid curriculum and expectations, and to adhere to her cooperating teacher’s teaching style. As a result, in her lessons as an intern students received limited opportunities for reasoning and proving. Olive expressed dissatisfaction with this type of teaching and her desire to enact more proof-oriented practices. Our results show that the sociocultural components of the activity system (rules, community and division of labor), which were backgrounded in Olive’s teaching experience as a PST but prominent in her internship experience, influenced the outcome of engaging students with reasoning and proving. We discuss the importance of these sociocultural aspects as we examine how Olive navigated the tensions between the proof-related teaching practices she adopted in the capstone course and her teaching style during the internship. We highlight the importance of teacher educators considering the sociocultural aspects of teaching in supporting beginning teachers developing proof-related teaching practices. 

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