I Have a Solution to Share: Learning through Equitable Participation in a Mathematics Classroom

Student participation is an issue of equity. Without participation there can be no learning. This study focuses on the participation (and therefore learning) of struggling students (those with individual education plans [IEPs]) during the implementation of a relational thinking routine in a third-grade inclusion classroom. Students with IEPs often initially used direct modeling with linking cubes as a resource for presenting their thinking. In this way, they were able to demonstrate their ability to think relationally. As the year progressed, these students, who had earlier been reluctant to share and had done so only by using several of the resources that the participation structure of the routine provided, often showed a growth in their abilities to explain their thinking verbally

Early career elementary teachers’ practices & perceptions related to language & language learners

There has been limited attention to early career teachers’ (ECTs) understandings and practices related to language in teaching and learning mathematics. In this qualitative case study, we drew upon frameworks for teacher noticing to study the language practices of six early career elementary and middle school mathematics teachers. We describe multiple themes that cut across teachers’ noticing related to language and language learners, and discuss one theme (i.e., Perspectives on multiple languages) in more detail, including evidence of specific forms of noticing. Implications for teacher education and professional development are discussed

Jumping into Modeling: Elementary Mathematical Modeling with School and Community Contexts

Mathematical modeling is a high-leverage topic, critical STEM education and civic engagement. This study investigates culturally responsive, school and community-based approaches that support mathematical modeling with elementary students. Specifically, we analyzed two modeling lessons in one fifth grade classroom, with a focus on how students drew upon their experiences and funds of knowledge as they engaged in the mathematical modeling process. Our findings illustrate different ways that students' experiences and situational knowledge informed and guided their modeling activity, including the quantities that they deemed relevant, and how they interpreted and refined their solutions. We also attend to the teacher's role in supporting such connections. Implications for mathematics teacher educators and research are included. [For the complete proceedings, see ED606556.]Elementary EducationMiddle SchoolsGrade 5Intermediate Grade

Promoting Equity in Mathematics Teacher Preparation: A Framework for Advancing Teacher Learning of Children\u27s Multiple Mathematics Knowledge Bases

Research repeatedly documents that teachers are underprepared to teach mathematics effectively in diverse classrooms. A critical aspect of learning to be an effective mathematics teacher for diverse learners is developing knowledge, dispositions, and practices that support building on children\u27s mathematical thinking, as well as their cultural, linguistic, and community-based knowledge. This article presents a conjectured learning trajectory for prospective teachers\u27 (PSTs\u27) development related to integrating children\u27s multiple mathematical knowledge bases (i.e., the understandings and experiences that have the potential to shape and support children\u27s mathematics learning--including children\u27s mathematical thinking, and children\u27s cultural, home, and community-based knowledge), in mathematics instruction. Data were collected from 200 PSTs enrolled in mathematics methods courses at six United States universities. Data sources included beginning and end-of-semester surveys, interviews, and PSTs\u27 written work. Our conjectured learning trajectory can serve as a tool for mathematics teacher educators and researchers as they focus on PSTs\u27 development of equitable mathematics instruction

Transforming Mathematics Teacher Education: An Equity-Based Approach

This book builds on the Teachers Empowered to Advance Change in Mathematics (TEACH Math) project, which was an initiative that sought to develop a new generation of preK-8 mathematics teachers to connect mathematics, children’s mathematical thinking, and community and family knowledge in mathematics instruction – or what we have come to call children’s multiple mathematical knowledge bases in mathematics instruction, with an explicit focus on equity. Much of the work involved in the TEACH Math project included the development of three instructional modules for preK-8 mathematics methods courses to support the project’s goals. These activities were used and refined over eight semesters, and in Fall 2014 shared at a dissemination conference with other mathematics teacher educators from a variety of universities across the United States. Chapter contributions represent diverse program and geographical contexts and teach prospective and practicing teachers from a variety of socioeconomic and ethnic backgrounds, in particular providing accounts of supports, challenges, and tensions in implementing equity-based mathematics teacher education. The chapters supply rich evidence and illustrative examples of how other mathematics teacher educators and professional developers might make the modules work for their unique practices, courses, workshops, and prospective teachers/teachers. It promises to be an important resource for offering guidance and examples to those working with prospective teachers of mathematics who want to create positive, culturally responsive, and equity-based mathematics experiences for our nation’s youth.https://digitalcommons.tacoma.uw.edu/education_books/1022/thumbnail.jp

Prospective Teachers' Perceptions, Beliefs, and Dispostions toward Students' Family, Community, and Culture

Research has repeatedly documented that teachers are underprepared to teach mathematics effectively in diverse classrooms. We believe critical aspect of learning to be an effective mathematics teacher for diverse learners is developing knowledge, dispositions, and practices that support capitalizing on children's cultural, linguistic, and community-based knowledge and experiences in mathematics instruction. This study examined beginning perceptions, beliefs, and dispositions of prospective teachers (PSTs) toward students' family, community, and culture. Results indicate that PSTs hold a range of beliefs based on how they see the resources and supports available to students in the home and community, how they compare and contrast themselves with their students and the students with each other, and how they see the nature of the relationships that can and should be formed by teachers with students and families. [For the complete proceedings, see ED584829.]Higher Educatio

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

Learning to Leverage Children's Multiple Mathematical Knowledge Bases in Mathematics Instruction

In this article, the authors explore prospective elementary teachers' engagement with and reflection on activities they conducted to learn about a single child from their practicum classroom. Through these activities, prospective teachers learned about their child's mathematical thinking and the interests, competencies, and resources she or he brought to the mathematics classroom, and then wrote reports that included instructional suggestions as to next steps to further the child's growth in mathematics. The authors' analyses of these reports indicate that there were a variety of ways which prospective teachers made connections to one or more of their child's knowledge bases. In a high percentage of cases, prospective teachers attended to one of these knowledge bases, indicating that they were attending to particularities about their child and developing the dispositions to continue to do so. Implications for research and practice are discussed

Early Career Elementary Mathematics Teachers' Noticing Related to Language and Language Learners

There has been limited attention to early career teachers' (ECTs) understandings and practices related to language in teaching and learning mathematics. In this qualitative case study, we drew upon frameworks for teacher noticing to study the language practices of six early career elementary and middle school mathematics teachers. We describe multiple themes that cut across teachers' noticing related to language and language learners, and discuss one theme (i.e., Perspectives on multiple languages) in more detail, including evidence of specific forms of noticing. Implications for teacher education and professional development are discussed. [For the complete proceedings, see ED583608.]Elementary Educatio

Learning to leverage students’ multiple mathematical knowledge bases in mathematics instruction

In this article, the authors explore prospective elementary teachers’ engagement with and reflection on activities they conducted to learn about a single child from their practicum classroom. Through these activities, prospective teachers learned about their child’s mathematical thinking and the interests, competencies, and resources she or he brought to the mathematics classroom, and then wrote reports that included instructional suggestions as to next steps to further the child’s growth in mathematics. The authors’ analyses of these reports indicate that there were a variety of ways which prospective teachers made connections to one or more of their child’s knowledge bases. In a high percentage of cases, prospective teachers attended to one of these knowledge bases, indicating that they were attending to particularities about their child and developing the dispositions to continue to do so. Implications for research and practice are discussed