Julia M. Aguirre

Making Connections in Practice: How Prospective Elementary Teachers Connect to Children’s Mathematical Thinking and Community Funds of Knowledge in Mathematics Instruction

This study examines the ways prospective elementary teachers (PSTs) made connections to children’s mathematical thinking and children’s community funds of knowledge in mathematics lesson plans. We analyzed the work of 70 PSTs from across three university sites associated with an instructional module for elementary mathematics methods courses that asks PSTs to visit community settings and develop problem solving mathematics lessons that connect to mathematical practices in these settings (Community Mathematics Exploration Module). Using analytic induction, we identified three distinct levels of connections to children’s mathematical thinking and their community funds of knowledge evidenced in PSTs’ work (emergent, transitional, and meaningful). Findings describe how these connections reflected different points on a learning trajectory. This study has implications for understanding how PSTs begin to connect to children’s mathematical funds of knowledge in their teaching, a practice shown to be effective for teaching diverse groups of children.

Making Culturally Responsive Mathematics Teaching Explicit: A Lesson Analysis Tool.

In the United States, there is a need for pedagogical tools that help teachers develop essential pedagogical content knowledge and practices to meet the mathematical education needs of a growing culturally and linguistically diverse student population. In this article, we introduce an innovative lesson analysis tool that focuses on integrating mathematical thinking, language, culture, and social justice. We argue that these are essential components to culturally responsive mathematics teaching. Using data collected from a 3-year professional development initiative focused on culturally responsive mathematics teaching including teacher discussions, lesson artefacts, and interviews, the study yields two main results about the tool and its impact on teacher thinking: (1) the tool enabled teachers to systematically analyse and critique mathematics lessons with multiple dimensions including mathematical thinking, language, culture, and social justice; (2) the tool fostered purposeful pedagogical dialogue to improve a mathematics lesson along specific culturally responsive dimensions. The findings illustrate the potential of this tool to engage teachers in strategic lesson planning and purposeful discussions to make mathematics lessons culturally responsive and improve the quality of mathematics teaching in the classroom.

Integrating a Focus on Academic Language, English Learners, and Mathematics: Teacher Candidates’ Responses on the Performance Assessment for California Teachers (PACT)

Throughout the United States, teacher educators are developing new strategies to improve the preparation of mainstream teachers for linguistic diversity. In this article, we explore teacher candidates’ responses to the Performance Assessment for California Teachers (PACT), a preservice assessment required for credentialing that requires candidates to consider the English language demands of content-area instruction, to enact supports for English learners and others who may struggle with those demands, and to develop ways to promote the academic language development of these students. We report on a study examining written responses on the PACT from 8 elementary teacher candidates who chose mathematics as the focus for their teaching event. We found that the PACT induced teacher candidates to consider language issues and the needs of language learners in a content area often thought to be language-free, yet one in which language in fact plays a crucial role. Such responses provide important information that can be used not only for credentialing decisions but also by teacher educators, teacher-education programs, and teacher candidates themselves in supporting the academic-language development of ELs in content areas such as mathematics.

Curriculum spaces for connecting to children’s multiple mathematical knowledge bases

Abstract Elementary mathematics curriculum materials can serve as a lever for instructional change. In this paper, we promote a particular kind of instructional change: supporting teachers in learning to integrate children’s multiple mathematical knowledge bases (MMKB), including children’s mathematical thinking and children’s home and community-based mathematical funds of knowledge, in instruction. A powerful means of supporting pre-service teachers in integrating children’s MMKB in instruction may be to scaffold teachers’ noticing of potential spaces in elementary mathematics curriculum materials for connecting to children’s MMKB and then developing practices for leveraging these spaces during instruction. We focus on existing and potential spaces in written curriculum materials, or curriculum spaces, so as to better support teachers in enacting curriculum that opens spaces for connecting to children’s MMKB.

“Math Is What I Love. I Think If I Got Anything from Community College, It’s the Beauty of Math.”: Promoting Mathematics Teacher Education Through Community College Outreach

ABSTRACT Deficient publicity challenged participants when selecting community college for postsecondary education and identifying secondary mathematics teaching as a career. Secondary mathematics teaching career promotion by the community college out in the local community and on the community college campuses was found to be nonexistent but necessary to increase the teacher-of-color pool. The purpose of this case study was to understand the role community colleges played in preparing current Washington State secondary mathematics teachers of color. Teachers-of-color voices were evaluated through Critical Race Theory, and recommendations were developed to support and counter identified oppressive structures: A future secondary mathematics teacher community outreach club would engage the community by (a) developing partnerships with local K–12 schools to increase teaching career exploration, (b) exploring feasibility of Math in the Community, and (c) promoting the community college as A College FOR the Community with outreach mathematics application courses taught in nonschool-based community venues.