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1. Teacher Growth in Mathematical Quality of Instruction for Emergent Bilinguals Through Collaborative Professional Development

   https://doi.org/10.3102/2007248  

   I, Ji_Yeong; Erden, Coskun; Sourwine, Jasmine (January 2023, AERA 2023)

   Many teachers reduce the language and cognitive demand of mathematical tasks to support Emergent Bilinguals (EBs), inadvertently withholding the opportunity to engage with rich mathematical tasks. This study employed collaborative professional development to work with an ELL-only Algebra 1 teacher to co-develop, co-teach, and co-analyze lessons designed to engage EBs in meaningful mathematical discourse. The research team used the Mathematical Quality of Instruction and Quality of Linguistically Diverse Teaching (QLDT) to measure improvement from pre-intervention to post-intervention lessons. Results indicate an improvement in teaching quality in almost every category, with some of the most notable changes occurring in the QLDT, suggesting that the teacher became more aware of EBs’ needs and supported EBs to overcome their language barrier. 

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2. 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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3. FROM UNIVERSITY TO SCHOOL: EXPLORING BEGINNING TEACHERS INTEGRATING REASONING AND PROVING

   Weingarden, M; Buchbinder, O (July 2023, Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education)

   Ayalon, M; Koichu, B; Leikin, R; Rubel, L; Tabach, M (Ed.)

   We follow a beginning mathematics teacher, Olive, from the university-based course Mathematical Reasoning and Proving for Secondary Teachers through the supervised internship where Olive taught in her cooperating teacher’s classroom. By drawing upon Activity Theory, we compare her teaching within the two teaching settings, and we examine the opportunities for reasoning and proving she provided to her students in each teaching setting. As a prospective teacher, Olive provided her students opportunities for reasoning and proving. During the internship, these opportunities initially diminished due to institutional and contextual constraints. However, Olive gradually carved out unique paths to engage students with reasoning and proving as her teaching independence increased. 

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4. “Fake It Until You Make It”: Participation and Positioning of a Bilingual Latina Student in Mathematics and Computing

   https://doi.org/10.1177/01614681221104106  

   Celedón-Pattichis, Sylvia; Kussainova, Gulnara; LópezLeiva, Carlos A.; Pattichis, Marios S. (May 2022, Teachers College Record: The Voice of Scholarship in Education)

   Background/Context: After-school programs that focus on integrating computer programming and mathematics in authentic environments are seldomly accessible to students from culturally and linguistically diverse backgrounds, particularly bilingual Latina students in rural contexts. Providing a context that broadens Latina students’ participation in mathematics and computer programming requires educators to carefully examine how verbal and nonverbal language is used to interact and to position students as they learn new concepts in middle school. This is also an important stage for adolescents because they are likely to make decisions about their future careers in STEM. Having access to discourse and teaching practices that invite students to participate in mathematics and computer programming affords them opportunities to engage with these fields. Purpose/Focus of Study: This case study analyzes how small-group interactions mediated the positionings of Cindy, a bilingual Latina, as she learned binary numbers in an after-school program that integrated computer programming and mathematics (CPM). Setting: The Advancing Out-of-School Learning in Mathematics and Engineering (AOLME) program was held in a rural bilingual (Spanish and English) middle school in the Southwest. The after-school program was designed to provide experiences for primarily Latinx students to learn how to integrate mathematics with computer programming using Raspberry Pi and Python as a platform. Our case study explores how Cindy was positioned as she interacted with two undergraduate engineering students who served as facilitators while learning binary numbers with a group of three middle school students. Research Design: This single intrinsic case focused on exploring how small-group interactions among four students mediated Cindy’s positionings as she learned binary numbers through her participation in AOLME. Data sources included twelve 90-minute video sessions and Cindy’s journal and curriculum binder. Video logs were created, and transcripts were coded to describe verbal and nonverbal interactions among the facilitators and Cindy. Analysis of select episodes was conducted using systemic functional linguistics (SFL), specifically language modality, to identify how positioning took place. These episodes and positioning analysis describe how Cindy, with others, navigated the process of learning binary numbers under the stereotype that female students are not as good at mathematics as male students. Findings: From our analysis, three themes that emerged from the data portray Cindy’s experiences learning binary numbers. The major themes are: (1) Cindy’s struggle to reveal her understanding of binary numbers in a competitive context, (2) Cindy’s use of “fake it until you make it” to hide her cognitive dissonance, and (3) the use of Spanish and peers’ support to resolve Cindy’s understanding of binary numbers. The positioning patterns observed help us learn how, when Cindy’s bilingualism was viewed and promoted as an asset, this social context worked as a generative axis that addressed the challenges of learning binary numbers. The contrasting episodes highlight the facilitators’ productive teaching strategies and relations that nurtured Cindy’s social and intellectual participation in CPM. Conclusions/Recommendations: Cindy’s case demonstrates how the facilitator’s teaching, and participants’ interactions and discourse practices contributed to her qualitatively different positionings while she learned binary numbers, and how she persevered in this process. Analysis of communication acts supported our understanding of how Cindy’s positionings underpinned the discourse; how the facilitators’ and students’ discourse formed, shaped, or shifted Cindy’s positioning; and how discourse was larger than gender storylines that went beyond classroom interactions. Cindy’s case reveals the danger of placing students in “struggle” instead of a “productive struggle.” The findings illustrated that when Cindy was placed in struggle when confronting responding moves by the facilitator, her “safe” reaction was hiding and avoiding. In contrast, we also learned about the importance of empathetic, nurturing supporting responses that encourage students’ productive struggle to do better. We invite instructors to notice students’ hiding or avoiding and consider Cindy’s case. Furthermore, we recommend that teachers notice their choice of language because this is important in terms of positioning students. We also highlight Cindy’s agency as she chose to take up her friend’s suggestion to “fake it” rather than give up. 

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5. Impact of a mathematics early teaching experience for undergraduates: A teacher preparation recruitment strategy

   https://doi.org/10.29333/iejme/13860  

   de la Cruz, Jessica A.; Goldman, Samantha E. (November 2023, International Electronic Journal of Mathematics Education)

   Declining enrollments in teacher preparation programs across the United States signal a critical need for institutions of higher education to consider innovative recruitment initiatives. This pilot study investigates a novel approach to recruiting undergraduates into a teacher preparation program. Nine participants, mostly first-year college students, engaged in a year-long experiential learning program. The program provided participants with an early teaching experience in a classroom-like setting by engaging them in the collaborative development, planning, and teaching of mathematics in a summer camp for high school students. Data were collected throughout the year on their: planned major, attitudes towards mathematics and mathematics education, mathematics teaching self-efficacy, and perceptions of the program. Results showed the program was successful at improving attitudes, increasing self-efficacy, and stimulating reflection on a potential career as a mathematics teacher. Participants also shared positive impressions of the experience. Implications for research and future practice are discussed. 

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