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This article reports on how three prospective teachers had differing opportunities to demonstrate their skills in the context of the field assessment, but similar opportunities in the context of the simulation assessment…
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The Responsive Math Teaching (RMT) project’s 3-year model for professional development introduces teachers to a new instructional model through a full year of monthly Math Circles, where they experience problem solving and…
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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' 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…
Networking Frameworks: A Method for Analyzing the Complexities of Classroom Cultures Focusing on Justifying
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In this paper, authors network five frameworks (cognitive demand, lesson cohesion, cognitive engagement, collective argumentation, and student contribution) for an analytic approach that allows us to present a more…
Teaching Early Algebra through Example-based Problem Solving: Insights from Chinese and U.S. Elementary Classrooms
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Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-…
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Students’ difficulties with contrapositive reasoning are well documented. Lack of intuition about contrapositive reasoning and lack of a meta-argument for the logical equivalence between a conditional claim and its…
Eliminating counterexamples: A case study intervention for improving adolescents’ ability to critique direct arguments
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Students’ difficulties with argumentation, proving, and the role of counterexamples in proving are well documented. Students in this study experienced an intervention for improving their argumentation and proving…
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Several recent studies have focused on helping students understand the limitations of empirical arguments (e.g., Stylianides, G. J. & Stylianides, A. J., 2009, Brown, 2014). One view is that students use empirical…
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This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying…
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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…
Validating the Use of Student-Level Instruments to Examine Preservice Teachers' Mathematical Problem Solving
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Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems…
Investigating the Presence of Mathematics and the Levels of Cognitively Demanding Mathematical Tasks in Integrated STEM Units
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Effective K-12 integrated STEM education should reflect an intentional effort to adequately represent and facilitate each of its component disciplines in a meaningful way. However, most research in this space has been…
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Recent circumstances due to the COVID-19 pandemic and restrictions on entering public schools have created barriers for prospective teachers (PT) to gain valuable exposure to real classrooms. As a result, we have…
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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…
Exploring the Potential of an Online Suite of Practice-Based Activities for Supporting Preservice Elementary Teachers in Learning How to Facilitate Argumentation-Focused Discussions in Mathematics and Science
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This study explored the use of a three-part suite of practice-based activities -- one- and two-player online simulations, an avatar-based simulation, and a virtual teaching simulator—for supporting preservice teachers in…
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This report takes stock of what we currently know as well as what we need to know to make classroom assessment maximally beneficial for the teaching and learning of STEM subject matter in K–12 classrooms…
Comparing How College Mathematics Instructors and High-School Teachers Recognize Professional Obligations of Mathematics Teaching when Making Instructional Decisions
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This paper investigates how mathematics instructors' recognition of the professional obligations of mathematics teaching varies based on their institutional environment, specifically whether they teach high school or…
Intersections of Teacher Noticing and Culturally Sustaining Pedagogy: A Conceptual Framework to Inform the Design of Teacher Learning
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Teacher noticing scholars are just beginning to explore how to support noticing that is responsive to students' cultural resources. The theoretical basis of the teacher noticing literature affords scholars a range of paths…
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Despite interest in how students’ implicit theories—their growth and fixed mindsets about their own learning—affect students as learners, relatively little research on mindset has looked at teachers as learners. This study…
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This study examines secondary mathematics teachers’ anticipations of student responses related to a series of cognitively demanding mathematics tasks from multiple mathematical domains presented in the context of voluntary…
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In this report section, we discuss the importance of aligning classroom assessments with learning goals and instructional practices to both shape and evaluate students’ learning opportunities.
In this…
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Repository of project simulation tasks and data.
Repository of project simulation tasks and data.
Mathematics
Science
Classroom Practice…
Evaluating How Extended Reality Delivery Device and Preservice Teacher Major Impact Presence in Immersive Learning Environments
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Teacher education has begun to embrace the use of 360 videos to improve preservice teachers' (PSTs) engagement and immersion. While recent research on such use is promising overall, there are specific questions that have…
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Professional noticing involves attending to and interpreting children’s mathematical reasoning. In a similar manner, pedagogical content knowledge (PCK) is defined as the knowledge teachers need to interpret and respond to…
Exploring the Relationships Between Teacher Noticing, Ambisonic Audio, and Variance in Focus When Viewing 360 Video
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A growing body of research has supported the implementation of innovative and immersive video for teaching and learning across the lifespan. Immersive video, delivered through eXtended Reality (XR) tools like 360 video,…
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Unified systems for multi-sensor devices, particularly eye-tracking in Virtual Reality (VR), are intricate and often require the listening and streaming of multichannel data. In this project, we propose a visual analysis…
Using Fitbits and Heart Rate Variance (HRVa) to Understand Preservice Teacher Experiences in Extended Reality
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Extended reality (XR) is increasingly used to support preservice and inservice teacher training. Its use in teacher education has shown promise in improving future educators’ engagement, self-confidence, and noticing…
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In conversations about pedagogy, researchers often overlook how physical space and movement shape teacher sensemaking. This article offers a comparative case study of classroom videos using a dynamic visual method to map…
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Classroom Practice
Mathematics
Pedagogical Content Knowledge
Teacher Practice
Presentation
Elementary…