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We report on a case study that seeks to understand how teachers’ pedagogical interventions influence students’ instrumentation and mathematical reasoning in a collaborative, dynamic geometry environment. A high school…
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Rich tasks can be vehicles for productive mathematical discussions. How to support such discourse in collaborative digital environments is the focus of our theorization and empirical examination of task design that emerges…
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To contribute to understanding how teachers can develop geometrical understanding, we report on the discursive development of teachers’ geometrical reasoning through instrument appropriation while collaborating in an…
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Tasks can be vehicles for productive mathematical discussions. How to support such discourse in collaborative digital environments is the focus of our theorization and empirical examination of task design that emerges from…
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The Practicum Academy to Improve Science Education (PRACTISE) is a professional learning program to support scientific argumentation in grades 3-5. This handbook provides detailed information on how to conduct a series of…
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To understand the mathematics writing of students, we conducted a synthesis to evaluate empirical research about mathematics writing. We identified 29 studies that included a mathematics-writing assessment, intervention,…
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This guide delivers all the tools you need to get serious about mathematical argumentation and bring well-planned, well-constructed mathematical discourse to life in your classroom.
Get them talking:…
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This article discusses the use of the Think Aloud strategy at the beginning of a lesson to model to students both the type of thinking that develops conceptual understanding, as well as how to share one’s thinking…
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This article presents an instructional strategy called Mathematical Bet Lines that was designed to promote classroom discourse and sense-making for all students, in particular English Language Learners…
An Examination of Credit Recovery Students’ Use of Computer-Based Scaffolding in a Problem-Based, Scientific Inquiry Unit
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In this study, we investigated how high school credit recovery students worked in small groups and used computer-based scaffolds to conduct scientific inquiry in a problem-based learning unit centered on water quality…
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This is a description of a new methodological tool to gather response process validity evidence. The context is scholarship within mathematics education contexts.
Response process validity evidence…
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Introduction to special issue focusing on think alouds and response process evidence. This work cuts across STEM education scholarship and introduces readers to robust means to engage in think alouds.…
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We draw on our experiences researching teachers’ use of student thinking to theoretically unpack the work of attending to student contributions in order to articulate the student mathematics (SM) of those contribution…
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Ambiguity is a natural part of communication in a mathematics classroom. In this paper, a particular subset of ambiguity is characterized as clarifiable. Clarifiable ambiguity in classroom mathematics discourse is common,…
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We argue that progress in the area of research on mathematics teacher responses to student thinking could be enhanced were the field to attend more explicitly to important facets of those responses, as well as to related…
Teachers' Orientations Toward Using Student Mathematical Thinking as a Resource During Whole-Class Discussion
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The purpose of this study is to characterize teachers’ orientations toward using student mathematical thinking as a resource during whole-class instruction.
Using student mathematical thinking during…
Teachers' Responses to Instances of Student Mathematical Thinking with Varied Potential to Support Student Learning
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This study investigated teachers’ responses to a common set of instances of student mathematical thinking (SMT) with varied potential to support students’ mathematical learning, as well as the productivity of such…
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Activating Math Talk is a resource for promoting high-quality math discourse in grades K-5. The content of the chapters and discussion questions within are meant to spark conversations among teachers, teacher leaders,…
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In this chapter, authors use the Framework for Teaching Practice (Grossman, et al., 2009) as a conceptual tool for analzying the design of professional development.
In this chapter, we use the Framework…
Decomposing Practice in Teacher Professional Development: Examining Sequences of Learning Activities
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In this paper, authors analyze a PD design, examining its activities and the sequencing of professional learning tasks.
In this paper, we analyze a PD design, examining its activities and the sequencing…
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This article describes one mathematics professional development program designed to support all K-5 students' engagement in productive mathematical discussions, in particular emergent multilingual learners…
Mathematical and Scientific Argumentation in PreK-12: A Cross-Disciplinary Synthesis of Recent DRK-12 Projects
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This review synthesizes insights from 23 NSF-funded projects, totaling $40 million, that studied mathematical and scientific argumentation in STEM education from prekindergarten (PreK) to Grade 12. The projects reported on…
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Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student…
Designing Learning Environments to Promote Academic Literacy in Mathematics in Multilingual Secondary Mathematics Classrooms
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Emerging multilingual students can develop the dimensions of Academic Literacy in Mathematics (ALM) in classroom discussions. But, there is a need for empirically-validated principles for fostering such discussions. This…
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We introduce and illustrate three principles for designing secondary mathematics classrooms in which multilingual students can benefit from participating in mathematical discussions. Drawing from the Academic Literacy in…
Designing for Mathematical Literacy: Introducing Exponential Growth Using Critical and Meaningful Problem Contexts
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This department explores the concept of disciplinary literacy—the conceptual understandings and ways of reading, thinking, and writing involved in critiquing and constructing knowledge in a discipline—and its intersections…
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NARST presentation on instructional decision making to improve argumentation in science.
Osborne, J. & Reigh, E. (2021). Towards improving science discussions: A framework to guide instructional…
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We investigate the algebraic discourse of secondary mathematics teachers with respect to the topic of equation solving by analyzing five teachers’ responses to open-ended items on a questionnaire that asks respondents to…
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The resources that multilingual students bring to school mathematics are often ignored. During a teacher-researcher collaborative project focused on creating more equitable learning environments in high school math…
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Do your students ever share ideas that are only peripherally related to the discussion you are having? We discuss ways to minimize and deal with such contributions.
Do your students ever share ideas…
“Unnatural How Natural It Was”: Using a Performance Task and Simulated Classroom for Preservice Secondary Teachers to Practice Engaging Student Avatars in Scientific Argumentation
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Facilitating discussions is a key approach that science teachers use to engage students in scientific argumentation. However, learning how to facilitate argumentation-focused discussions is an ambitious teaching practice…
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Eliciting and interpreting students’ ideas are essential skills in teaching, yet pre-service teachers (PSTs) rarely have adequate opportunities to develop these skills. In this study, we examine PSTs’ patterns of discourse…
Preservice Teachers Noticing and Positioning Students as “Knowers” in Equitable Scientific Argumentation-based Discussions
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This study investigated how preservice elementary teachers' (PSTs) noticed the discourse practices they used to position students and their scientific thinking as they engaged a group of student avatars in argumentation-…
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Teacher-facilitated whole-class conversations can help elementary students apply the full power of the NGSS science and engineering practices to an engineering design process. In this article we describe and provide…
The Role of Whole-Class Conversations in Supporting Early Elementary Students’ Engineering Design Sense-Making
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We consider how intentionally planned and facilitated whole-class conversations can “make space” for students’ sense-making about engineering problems and solutions and position them with epistemic authority to contribute…