Eric Knuth

This project leverages the role of mentor teachers to support novices’ development of pedagogical reasoning and increase the likelihood that they will be prepared to engage in responsive mathematics teaching. Mentor teachers in three differently structured teacher education programs will receive professional development aimed at making their pedagogical reasoning visible and supporting them in engaging collaboratively with novices in this type of teacher thinking. The researchers will study mentor teachers’ development of collaborative pedagogical reasoning (Co-PR) and its relationship to responsive teaching.

This project leverages the role of mentor teachers to support novices’ development of pedagogical reasoning and increase the likelihood that they will be prepared to engage in responsive mathematics teaching. Mentor teachers in three differently structured teacher education programs will receive professional development aimed at making their pedagogical reasoning visible and supporting them in engaging collaboratively with novices in this type of teacher thinking. The researchers will study mentor teachers’ development of collaborative pedagogical reasoning (Co-PR) and its relationship to responsive teaching.

This project leverages the role of mentor teachers to support novices’ development of pedagogical reasoning and increase the likelihood that they will be prepared to engage in responsive mathematics teaching. Mentor teachers in three differently structured teacher education programs will receive professional development aimed at making their pedagogical reasoning visible and supporting them in engaging collaboratively with novices in this type of teacher thinking. The researchers will study mentor teachers’ development of collaborative pedagogical reasoning (Co-PR) and its relationship to responsive teaching.

This project explores the effectiveness of two different versions of professional development (PD) designed to enhance middle school mathematics teachers’ understanding of fractions and proportions, and their teaching of these mathematical concepts to students. The PD uses an approach that engages teachers with web-based apps that allow them to test and experiment with their mathematical ideas. The apps, combined with guiding questions that challenge teachers’ thinking about fractions and proportions, serve both to promote critical thinking about the concepts and to further developing their understandings of the concepts. The researchers will use an innovative approach, topic modeling, to examine the effectiveness of each of version of the PD.

This project explores the effectiveness of two different versions of professional development (PD) designed to enhance middle school mathematics teachers’ understanding of fractions and proportions, and their teaching of these mathematical concepts to students. The PD uses an approach that engages teachers with web-based apps that allow them to test and experiment with their mathematical ideas. The apps, combined with guiding questions that challenge teachers’ thinking about fractions and proportions, serve both to promote critical thinking about the concepts and to further developing their understandings of the concepts. The researchers will use an innovative approach, topic modeling, to examine the effectiveness of each of version of the PD.

This project explores the effectiveness of two different versions of professional development (PD) designed to enhance middle school mathematics teachers’ understanding of fractions and proportions, and their teaching of these mathematical concepts to students. The PD uses an approach that engages teachers with web-based apps that allow them to test and experiment with their mathematical ideas. The apps, combined with guiding questions that challenge teachers’ thinking about fractions and proportions, serve both to promote critical thinking about the concepts and to further developing their understandings of the concepts. The researchers will use an innovative approach, topic modeling, to examine the effectiveness of each of version of the PD.

The purpose of this project is to rigorously test the efficacy of the Precision Mathematics First-Grade (PM-1) intervention on the mathematics outcomes of English learners (ELs) who face mathematics difficulties (MD). The PM-1 intervention is designed to support students with or at risk for MD in developing a robust understanding of the underlying concepts, problem-solving skills, and vocabulary of early measurement and statistical investigation. This study will examine student response to the PM-1 intervention based on variables such as students' initial mathematics skill levels and proficiency in English, and explore how the rate and quality of mathematics discourse opportunities for ELs may predict gains in mathematics outcomes.

This study will design a curricular framework for developing children's algebraic thinking across Grades K-2, with a particular focus on understanding how to support the teaching and learning of algebra with students in at-risk settings.

Three-dimensional figures can now be represented as diagrams that appear to extend into space in ways that are free of material or physical constraints. They can be rendered at any size, in any orientation, and at any position in space, and can thereby realize a far more varied set of mathematical concepts than what is possible with physical models. The goal of this project is to investigate the transformative educational potential of these representations and to generate a knowledge base that teachers, teacher educators, and researchers can use to reimagine the learning and teaching of geometry.

Covariational reasoning, or the ability to reason about relationships as quantities change together, is one way of thinking that can provide a foundation for students to build their more abstract algebraic knowledge. This research builds a foundation for integrating education and research at the intersection of students’ developing algebraic knowledge, covariational reasoning, and new educational technologies to create a new path into algebra. This path can help remove barriers that have historically restricted access to mathematics and STEM coursework and careers.

Access to high quality STEM education is highly variable depending on where one lives. In addition, early career teachers need support during their first years of teaching to be successful and help them stay in the profession. This project aims to provide in-service and beginning elementary school teachers increased opportunities to refine their mathematics teaching to support minoritized youth in racially diverse rural communities in Georgia that have less access to elementary mathematics specialists. This project follows and supports both beginning teachers (BTs) and elementary mathematics coaches (EMCs) over 5 years to develop and refine their mathematics teaching and coaching, respectively, using equity-based tools to guide reflection and conversations about both the BTs’ instructional practices and the EMCs’ coaching practices.

Realizing the potential of preschool to address historical inequities demands a deeper, more nuanced understanding of the varied ways opportunities to learn play out for individual children within and across classrooms. The goal of this project is to illuminate the variability in opportunities for mathematics learning in early childhood through capturing the experiences of individual children over time. The goal is to understand how these children navigate opportunities to participate in mathematical activity, their perspectives of what knowing and doing mathematics entails, and the resources they draw upon to engage in mathematical practices.

This project examines student and teacher experiences with the de-tracking of math sequences in a public school district in Western Oregon. It examines how a district-wide cohort of middle school students, as individuals and in groups, identify with and define what it means to be good at math, and how these identities shift over time as they progress through math sequences. It also establishes a partnership between a mathematics education researcher and a school district (Research Practice Partnership) to study changes in pedagogy, define problems of teaching practice, and design solutions as the district transitions to de-tracked classes.

This project examines middle school students’ graph literacy from an asset-based perspective, documenting the ways in which students think about graphs (i.e., their cognitive strategies and intuitive insights), and the ways in which instruction can build upon that thinking in order to support the development of graph literacy. Drawing from students’ graphical representations of real-life contexts (e.g., population growth) that span various mathematical domains, this program of research will develop a holistic theoretical framework that can inform mathematics instruction in multiple content areas.

This project will contribute knowledge about cultivating and strengthening productive mathematical identities of early childhood and elementary students. The project has the potential to improve kindergarten to third grade mathematics education for students from historically and persistently marginalized groups by intentionally leveraging (and confirming) resources for productive mathematical identity development. Further, this project will also equip educators to design number talks building upon students’ funds of knowledge and to also support their efforts to positively develop students’ mathematical identities.

This project partners with a mathematics department at a public middle school to co-design, analyze, and improve teachers’ translanguaging pedagogies, that is pedagogies that draw on students’ full linguistic repertoires as resources for their learning. This project will investigate how teachers make sense of and enact translanguaging pedagogies, how translanguaging pedagogies shape students’ mathematical experiences and learning opportunities, and how teachers’ learning of translanguaging spaces can be supported.

This project will engage students and teachers in rich, real-world math tasks; will support future teachers and mathematics educators in adapting, designing, and implementing similar tasks; and will provide a basis for further research on the most effective ways to design and implement real-world tasks in the mathematics classroom.

Leaders in mathematics and elementary education are organizing and hosting a conference that brings together researchers from mathematics education, cognitive science, and special education. Organized over three face-to-face meetings with follow-up virtual meetings, the conference is designed to generate a set of teaching and learning principles as well as a collaborative research agenda among the fields, reflecting existing agreements regarding early mathematics and uncovering areas of disagreement where further exchange and generation of knowledge is needed.

This project is developing and testing a curricular learning progression of early algebra objectives and activities for students in grades 3 - 5. The goal of the work is to provide teachers with curricular guidance and instructional resources that are useful in preparing students for success in study of algebra at the middle grade level. The project is also developing and validating assessment tools for evaluating student progress toward essential pre-algebra mathematical understandings.

The Common Core State Standards for Mathematics (CCSSM) problem-solving measures assess students’ problem-solving performance within the context of CCSSM math content and practices. This project expands the scope of the problem-solving measures use and score interpretation. The project work advances mathematical problem-solving assessments into computer adaptive testing. Computer adaptive testing allows for more precise and efficient targeting of student ability compared to static tests.