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Practitioner-focused article connecting research on argumentation to teachers' practice.
Research leads to a framework modifying Toulmin's model of argumentation to help teachers interpret classroom…
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This paper argues that successful practice-based teacher education requires innovations in assessment that can better inform preservice teachers and those who prepare them. Such assessments must focus directly on specific…
Mathematics Curriculum, Teacher Professionalism, and Supporting Policies in Korea and the United States: Summary of a Workshop
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On July 15-17, 2012 the United States National Commission on Mathematics Instruction and Seoul National University held a joint Korea-U.S. workshop on Mathematics Teaching and Curriculum. The workshop was organized to…
Uncovering the Skills That Preservice Teachers Bring to Teacher Education: The Practice of Eliciting a Student’s Thinking
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This article reports a study of the specific knowledge of and skills with teaching practice that novices bring to teacher education with respect to one teaching practice, eliciting student thinking in elementary…
Patterns Linking Interpreting and Deciding How to Respond During the Launch of a Lesson: Noticing from an Integrated Perspective
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Authors describe a complementary way of studying the connections between different aspects of noticing, one that stresses the content of teachers noticing. They report on a study in which participants were shown depictions…
Scaling up innovative learning in mathematics: exploring the effect of different professional development approaches on teacher knowledge, beliefs, and instructional practice
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The purpose of the current study was to explore different ways for teachers to engage in Professional learning experiences (PLEs) and how these approaches might enable the field to scale up these efforts in a sustainable…
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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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This website provides a growing repository of 360 videos of classroom instruction (currently focusing on elementary mathematics). We also have created and are disseminating tutorial videos for using or creating similar…
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This chapter explores a way of describing the teacher education curricular materials being developed by mathematics teacher educators through their interaction with the LessonSketch online platform.…
An Emerging Community in Online Mathematics Teacher Professional Development: An Interactional Perspective
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The purpose of this study was to better understand the process by which a community emerges in such a PD setting by examining how the cohesiveness of 21 mathematics teachers’ social network evolves and associated shifts in…
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This study compared prospective mathematics teachers' (PMTs) noticing while teaching a lesson during their student teaching internship of PMTs who participated in a noticing intervention to those who did not participate in…
The Role of Instructional Materials in the Relationship Between the Official Curriculum and the Enacted Curriculum
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The authors studied how the distal policy mechanisms of curricular aims and objectives articulated in official curriculum documents influenced classroom instruction, and the factors that were associated with the enactment…
Prospective K-8 Teachers’ Noticing of Student Justifications and Generalizations in the Context of Analyzing Written Artifacts and Video-Records
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This paper contributes to current discussions about supporting prospective teachers (PSTs) in developing skills of noticing students’ mathematical thinking. The results document that without providing any intentional…
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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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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…
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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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This is a technical report detailing the methods and findings for each of the research studies in the LLAMA project.
Mathematics
Achievement
Learning…
Profiles of Elementary Teachers’ Use of Mathematics Curriculum Materials and the Influence of Teacher Expertise
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The National Council of Teachers of Mathematics has consistently emphasized the importance of curricular coherence in mathematics education. However, the predominance of the Internet has led to a lack of consistency in the…
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In this article, we use data from interviews, class observations, and an analysis of instructional videos to describe an elementary mathematics specialists' efforts to incorporate flipped instruction for mathematics in her…
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The researchers conducted a qualitative analysis of the perceptions of school personnel and pre-service teachers about an Algebra I tutoring program for students with learning disabilities. The researchers surveyed and…
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This study explored how two professional development approaches to reforming math instruction with different mechanisms for fostering change might have valuable synergies when used in tandem to support take-up, i.e.,…
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Professional noticing is an essential skill for teachers that is enacted by teachers via their embodied senses (sight, sound, etc.). To better understand the nature of teacher noticing, 44 preservice teachers (PSTs) viewed…
Situating Presence within Extended Reality for Teacher Training: Validation of the Extended Reality Presence Scale (XRPS) in Preservice Teacher Use of Immersive 360 Video
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The purpose of this study was to adapt and validate an instrument for assessing immersive 360 video use in an undergraduate preservice teacher university training program.
The use of video is…
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This preliminary study explored how many representations of standard videos, animations/comics, and 360 videos are being used in mathematics methods courses to teach future teachers. Drawing on knowledge from prior studies…
360 Video as an Immersive Representation of Practice: Interactions between Reported Benefits and Teacher Noticing
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This study examined and compared teachers’ perceived affordances of 360 video as a representation of practice and their professional noticing of students’ mathematics in 360 videos. Results from this study suggest that…
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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…
The Development of Critical Teaching Skills for Preservice Secondary Mathematics Teachers Through Video Case Study Analysis
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Using social learning theory with the central concept of a community of practice, we situate this work within a secondary mathematics methods course to unpack preservice secondary mathematics teachers (PSMTs) development…
Using Online Simulations to Promote Elementary Preservice Teachers’ Facilitation of Argumentation-Focused Discussions in Mathematics and Science
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In this study, our team developed and is studying the use of an Online Practice Suite (OPS) composed of a coordinated and scaffolded collection of three practice-based online simulations designed to support the development…
Beyond Content: The Role of STEM Disciplines, Real-World Problems, 21st Century Skills, and STEM Careers within Science Teachers’ Conceptions of Integrated STEM Education
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This study used an exploratory case study design to investigate conceptions of 19 K-12 science teachers after participating in an integrated STEM-focused professional development and implementing integrated STEM lessons…
Eliciting and Refining Conceptions of STEM Education: A Series of Activities for Professional Development
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Integrated STEM (science, technology, engineering, and mathematics) education is becoming increasingly common in K–12 classrooms. However, various definitions of STEM education exist that make it challenging for teachers…
Improving Integrated STEM Education: The Design and Development of a K-12 STEM Observation Protocol (STEM-OP) (RTP)
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The work presented here describes in detail the development of an integrated STEM observation instrument - the STEM Observation Protocol (STEM-OP) - that can be used for both research and practice. Over a period of…
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The tasks described in this chapter are intended to build connections between these real-world dangers of viral spread and some relevant topics from the secondary mathematics curriculum. We also explore a link between…
Impact of the Design of an Asynchronous Video-Based Learning Environment on Teacher Noticing and Mathematical Knowledge
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In this paper, we share the design and impact of a set of two-hour online mathematics professional development modules adapted from face-to-face video-based materials.
In this paper, we share the design…
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This study contributes to the growing body of research that highlights the usefulness of professional noticing of children’s mathematical thinking for understanding the complexity and variability in teaching expertise. We…
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…
Documenting Two Emerging Sociomathematical Norms for Examining Functions in Mathematics Teachers’ Online Asynchronous Discussions
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This study investigated novice mathematics teachers participating in an online teacher education course focused on covariational reasoning and understanding the behavior of functions. The analysis centered on documenting…
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This article presents a vision for 2025 to implement low cost and effective extended reality (XR) technologies to supplement teacher education field experiences, regardless of if and when another global or local crisis…
Preservice Teachers’ Focus in 360 Videos: Understanding the Role of Presence, Ambisonic Audio, and Camera Placement
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Immersive 360 videos are increasingly being used in pre-service teachers (PST) education. There is preliminary evidence that this technology may benefit future educators’ focus and attention to classroom settings and…
Professional Noticing as Student-Centered: Pre-service Teachers’ Attending to Students’ Mathematics in 360 Video
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Teachers’ professional noticing has been described as transitioning from descriptions of general pedagogy to analysis of students’ mathematical procedures and conceptual reasoning. Such a shift is described as a transition…