skip to main content

Explore Research Products in the NSF-PAR

Title: Translanguaging in Mathematics Learning: Teacher Instructional and Attentional Supports
Students from less-dominant linguistic backgrounds generally have less opportunity to participate in classroom mathematical discourse compared to their English-dominant peers. An issue raised by mathematics education researchers concerned with issues of equity and opportunities for students is that status quo classroom practices and norms supported by teachers may be less familiar to students from non-dominant linguistic groups, or even detrimental to their classroom participation. Additionally, students who position themselves as doers of mathematics usually come from dominant cultural and linguistic groups (Abreu & Cline, 2002; Hand, 2012), potentially disposing students to perceive classroom mathematics learning through the lens of dominant cultural norms and practices. Thus, students who do not come from dominant linguistic backgrounds might perceive the mathematics classroom differently than their English dominant peers. However, less research has been conducted on how mathematics teachers attend to or notice norms around language and introduce new ones that encourage a multitude of linguistic practices, therefore heightening student participation. Heightening student participation can have implications for students being more likely to identify with mathematics. Additionally, examining students’ participation when using a multitude of linguistic practices or translanguaging is helpful for teachers attending to their own practice to support emerging bilingual students and bilingual students when engaging in mathematical sensemaking.  more » « less
Award ID(s):
1661175
NSF-PAR ID:
10463424
Author(s) / Creator(s):
Date Published:
Journal Name:
ProQuest dissertations theses global
ISSN:
2771-5140
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. ; ; ; ( , Teachers College Record: The Voice of Scholarship in Education)
    Background/Context:

    Computer programming is rarely accessible to K–12 students, especially for those from culturally and linguistically diverse backgrounds. Middle school age is a transitioning time when adolescents are more likely to make long-term decisions regarding their academic choices and interests. Having access to productive and positive knowledge and experiences in computer programming can grant them opportunities to realize their abilities and potential in this field.

     Purpose/Focus of Study:

    This study focuses on the exploration of the kind of relationship that bilingual Latinx students developed with themselves and computer programming and mathematics (CPM) practices through their participation in a CPM after-school program, first as students and then as cofacilitators teaching CPM practices to other middle school peers.

     Setting:

    An after-school program, Advancing Out-of-School Learning in Mathematics and Engineering (AOLME), was held at two middle schools located in rural and urban areas in the Southwest. It was designed to support an inclusive cultural environment that nurtured students’ opportunities to learn CPM practices through the inclusion of languages (Spanish and English), tasks, and participants congruent to students in the program. Students learned how to represent, design, and program digital images and videos using a sequence of 2D arrays of hexadecimal numbers with Python on a Raspberry Pi computer. The six bilingual cofacilitators attended Levels 1 and 2 as students and were offered the opportunity to participate as cofacilitators in the next implementation of Level 1.

     Research Design:

    This longitudinal case study focused on analyzing the experiences and shifts (if any) of students who participated as cofacilitators in AOLME. Their narratives were analyzed collectively, and our analysis describes the experiences of the cofacilitators as a single case study (with embedded units) of what it means to be a bilingual cofacilitator in AOLME. Data included individual exit interviews of the six cofacilitators and their focus groups (30–45 minutes each), an adapted 20-item CPM attitude 5-point Likert scale, and self-report from each of them. Results from attitude scales revealed cofacilitators’ greater initial and posterior connections to CPM practices. The self-reports on CPM included two number lines (0–10) for before and after AOLME for students to self-assess their liking and knowledge of CPM. The numbers were used as interview prompts to converse with students about experiences. The interview data were analyzed qualitatively and coded through a contrast-comparative process regarding students’ description of themselves, their experiences in the program, and their perception of and relationship toward CPM practices.

     Findings:

    Findings indicated that students had continued/increased motivation and confidence in CPM as they engaged in a journey as cofacilitators, described through two thematic categories: (a) shifting views by personally connecting to CPM, and (b) affirming CPM practices through teaching. The shift in connecting to CPM practices evolved as students argued that they found a new way of learning mathematics, in that they used mathematics as a tool to create videos and images that they programmed by using Python while making sense of the process bilingually (Spanish and English). This mathematics was viewed by students as high level, which in turned helped students gain self-confidence in CPM practices. Additionally, students affirmed their knowledge and confidence in CPM practices by teaching them to others, a process in which they had to mediate beyond the understanding of CPM practices. They came up with new ways of explaining CPM practices bilingually to their peers. In this new role, cofacilitators considered the topic and language, and promoted a communal support among the peers they worked with.

     Conclusions/Recommendations:

    Bilingual middle school students can not only program, but also teach bilingually and embrace new roles with nurturing support. Schools can promote new student roles, which can yield new goals and identities. There is a great need to redesign the school mathematics curriculum as a discipline that teenagers can use and connect with by creating and finding things they care about. In this way, school mathematics can support a closer “fit” with students’ identification with the world of mathematics. Cofacilitators learned more about CPM practices by teaching them, extending beyond what was given to them, and constructing new goals that were in line with a sophisticated knowledge and shifts in the practice. Assigned responsibility in a new role can strengthen students’ self-image, agency, and ways of relating to mathematics.

     
    more » « less
  2. ; ; ; ( , 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. 
    more » « less
  3. ; ; ; ; ( , European Journal of Training and Development)
    Purpose This paper aims to examine the role of school stakeholders (e.g. advisory board members, school administrators, parents, teachers and school board members) at a 99% black academy in promoting the achievement and broadening participation of high school black students in engineering career pathways. Design/methodology/approach The authors followed a qualitative case study design to explore the experiences of school stakeholders (e.g. students, district and school personnel and community partners) associated with the implementation of the career academy (Stake, 2006; Yin, 1994). Findings The authors found that the school relied heavily on the support of the community in the form of an advisory board – including university faculty and industry leaders – to actively develop culturally responsive strategies (e.g. American College Test preparation, work-based learning opportunities) to ensure the success of black students interested in pursuing career pathways in engineering. Thus, school stakeholders in the academy of engineering served as authentic leaders who inspired academy students by serving as role models and setting examples through what they do as engineering professionals. It was quite evident that the joy and fulfillment that these authentic leaders gained from using their talents directly or indirectly inspired students in the academy to seek out and cultivate the talents they are good at and passionate about as well (Debebe, 2017). Moreover, the career academy provided environmental or sociocultural conditions that promoted the development of learners’ gifts and talents (Plucker and Barab, 2005). Within that context, the goals of career academy school stakeholders were to support students in the discovery of what they are good at doing and to structure their educational experiences to cultivate their gifts into talents. Research limitations/implications It is also important to acknowledge that this study is not generalizable to the one million career academy students across the nation. Yet, the authors believe researchers should continue to examine the career academy advisory board as a source of capital for engaging and preparing diverse learners for success post-high school. Further research is needed to investigate how advisory boards support students’ in school and postsecondary outcomes, particularly for diverse students. Practical implications The authors highlight promising practices for schools to implement in establishing a diverse talent pipeline. Social implications On a theoretical level, the authors found important insights into the possibility of black students benefiting from a culturally responsive advisory board that provided social and cultural capital (e.g. aspirational, navigational and social) resources for their success. Originality/value While prior researchers have studied the positive impact of teachers in career academies as a contributor to social capital for students (Lanford and Maruco, 2019) and what diverse students bring to the classroom as a form of capital Debebe(Yosso, 2005), research has not identified the role of the advisory board (in its efforts to connect the broader community) as a vehicle for equipping ethnically and racially diverse students who come from economically disadvantaged backgrounds with social capital. Within that sense, the authors believe the advisory board at Stanton Academy relied on what the authors term local community capital to provide resources and supports for black students’ successful transition from high school into science, technology, engineering, and mathematics (STEM)-related college and career pathways. 
    more » « less
  4. ; ; ; ; ( , ZDM-Mathematics Education)
    Mathematical modeling (MM) - a cyclical process that involves using mathematics to make-sense of and analyze relevant, real-world situations - has the potential to advance equity and challenge spaces of marginalization in the elementary mathematics classroom. When informed by culturally responsive teaching practices, MM creates opportunities to center the knowledge and experiences that students from diverse racial, cultural, and linguistic backgrounds bring to the classroom as valuable resources to support learning and inform action. It can disrupt power and status hierarchies in the classroom that contribute to structural and ideological marginalization. This paper describes ways teachers connected their teaching of MM with key components of a culturally responsive mathematics teaching framework. Analysis synthesizes data from an innovative, research-based professional development for elementary teachers to support teacher learning of equity centered, culturally responsive MM instruction. Data sources include end of year teacher interviews, and professional development discussions from 19 teachers at four geographically, racially, and culturally diverse sites. Findings focus on how teachers connected their teaching of MM with key dimensions of culturally responsive mathematics teaching, and affordances and challenges related to resisting ideological and structural forms of marginalization. 
    more » « less
  5. ; ; ; ; ( , Teachers College Record: The Voice of Scholarship in Education)
    Background/Context: Bi/multilingual students’ STEM learning is better supported when educators leverage their language and cultural practices as resources, but STEM subject divisions have been historically constructed based on oppressive, dominant values and exclude the ways of knowing of nondominant groups. Truly promoting equity requires expanding and transforming STEM disciplines. Purpose/Objective/Research Question/Focus of Study: This article contributes to efforts to illuminate emergent bi/multilingual students’ ways of knowing, languaging, and doing in STEM. We follow the development of syncretic literacies in relation to translanguaging practices, asking, How do knowledges and practices from different communities get combined and reorganized by students and teachers in service of new modeling practices? Setting and Participants: We focus on a seventh-grade science classroom, deliberately designed to support syncretic literacies and translanguaging practices, where computer science concepts were infused into the curriculum through modeling activities. The majority of the students in the bilingual program had arrived in the United States at most three years before enrolling, from the Caribbean and Central and South America. Research Design: We analyze one lesson that was part of a larger research–practice partnership focused on teaching computer science through leveraging translanguaging practices and syncretic literacies. The lesson was a modeling and computing activity codesigned by the teacher and two researchers about post–Hurricane María outmigration from Puerto Rico. Analysis used microethnographic methods to trace how students assembled translanguaging, social, and schooled practices to make sense of and construct models. Findings/Results: Findings show how students assembled representational forms from a variety of practices as part of accomplishing and negotiating both designed and emergent goals. These included sensemaking, constructing, explaining, justifying, and interpreting both the physical and computational models of migration. Conclusions/Recommendations: Implications support the development of theory and pedagogy that intentionally make space for students to engage in meaning-making through translanguaging and syncretic practices in order to provide new possibilities for lifting up STEM learning that may include, but is not constrained by, disciplinary learning. Additional implications for teacher education and student assessment practices call for reconceptualizing schooling beyond day-to-day curriculum as part of making an ontological shift away from prioritizing math, science, and CS disciplinary and language objectives as defined by and for schooling, and toward celebrating, supporting, and centering students’ diverse, syncretic knowledges and knowledge use. 
    more » « less
  • Citation Formats
  • MLA
  • APA
  • Chicago
  • BibTeX
  • Save / Share this Record
  • Send to Email