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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…
Preparing Paraeducators for the Teacher Pipeline: Building Confidence Through Professional Development in Mathematics
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The article describes our project that was designed to provide experiences to support paraeducators' professional growth in a large urban district by building their mathematical knowledge for teaching and leadership.…
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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' 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…
Integrating a Statistical Topic Model and a Diagnostic Classification Model for Analyzing Items in a Mixed Format Assessment
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Selected response items and constructed response (CR) items are often found in the same test. Conventional psychometric models for these two types of items typically focus on using the scores for correctness of the…
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The Responsive Math Teaching (RMT) Instructional Model breaks high-quality math teaching down into seven core components: plan, launch, facilitate productive struggle, make student thinking visible, connect to the…
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The Responsive Math Teaching Project's (RMT) Planning and Coaching Protocol is an 18-page booklet that includes the RMT Instructional Model as well as a planning and coaching guide for each phase of the RTM instructional…
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…
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The Mathematics Immersion for Secondary Teachers at Scale program engages sets of teachers in local school sites, connected synchronously and asynchronously to colleagues in other sites, in doing mathematics designed to…
Competencies and Behaviors Observed When Students Solve Geometry Proof Problems: An Interview Study with Smartpen Technology
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This peer-reviewed research journal publication addresses one of the grant goals with respect to how students performed on a set of proof tasks.
This peer-reviewed research journal publication addresses…
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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This study examines how sampled Chinese and U.S. third and fourth grade students (NChina=167,NUS=97) understand the commutative, associative, and distributive properties.
This study examines how sampled…
Cognitive Instructional Principles in Elementary Mathematics Classrooms: A Case of Teaching Inverse Relations
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This study examines how three cognitive instructional principles including worked examples, representations, and deep questions are used in eight experienced elementary teachers’ early algebra lessons in the U.S…
Backward Transfer Influences from Quadratic Functions Instruction on Students’ Prior Ways of Covariational Reasoning about Linear Functions
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The study reported in this article examined the ways in which new mathematics learning influences students’ prior ways of reasoning. Authors conceptualize this kind of influence as a form of transfer of learning called…
Theory to Practice: Prospective Mathematics Teachers’ Recontextualizing Discourses Surrounding Collective Argumentation
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Teacher education programs have a critical role in supporting prospective teachers’ connections between theory and practice. In this study, authors examined three prospective secondary mathematics teachers’ discourses…
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A teacher uses formative assessment interviews to uncover evidence of students’ understandings and to plan targeted instruction in a mathematics intervention class. Authors present an example of a student interview, a…
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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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This study used an easy-to-implement prompting intervention in the context of collaborative (pair) programming with upper elementary students to demonstrate the potential of Epistemic Network Analysis to understand the…
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The Fraction Activities and Assessments for Conceptual Teaching (FAACT) instructional program is designed to support teachers’ insights into students’ conceptual understandings of fractions. The overall program…
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The Math Pathways & Pitfalls K-8 curriculum was designed with built-in support for teachers, alignment to the Common Core State Standards and Mathematical Practices. The curriculum can be flexibly used as an…