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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.…
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Students who earned high marks during the proof semester of a geometry course were interviewed to understand what high-achieving students actually took away from the treatment of proof in geometry. The findings suggest…
Applying the Curriculum Research Framework in the Design and Development of a Technology-Based Tier 2 Mathematics Intervention
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The production of the first-grade Precision Mathematics intervention was grounded in the Curriculum Research Framework (CRF), which involves a series of iterative cycles of development, implementation field-testing,…
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This study investigated the efficacy of the Precision Mathematics Level 1 (PM-L1) intervention, a Tier 2 print- and technology-based mathematics intervention designed to increase first-grade students’ conceptual…
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This article discusses the implementation of innovative teaching approaches in mathematics.
Maass, K., Cobb, P., Krainer, K., & Potari, D. (2019). Different ways to implement innovative teaching…
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The purpose of this study was to investigate how teachers understand one specific aspect of proportional reasoning - the extent to which practicing teachers were able to make sense of reasoning that involved the fixed…
Design Considerations in Multisite Randomized Trials Probing Moderated Treatment Effects Journal of Educational and Behavioral Statistics
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The purpose of this study is to develop a statistical framework and tools for the effective and efficient design of multisite randomized trials (MRTs) probing moderated treatment effects.
Past research…
Exploring Differences in Practicing Teachers’ Knowledge Use in a Dynamic and Static Proportional Task
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This exploratory study investigated 32 teachers’ use of knowledge resources in two mathematically similar tasks (one a paper and pencil task, the other a dynamic task) around proportional reasoning.…
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…
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The purpose of this study was to develop and validate a self‐assessment using critical components of successful inclusive STEM high schools for school personnel and educational researchers who wish to better understand…
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…
Using Authentic Video Clips of Classroom Instruction to Capture Teachers’ Moment-to-Moment Perceiving as Knowledge-Filtered Noticing
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This article reports on the development of a novel, video-based measure of teachers’ moment-to-moment noticing as knowledge-filtered perception.
In this article, we report on the development of a novel…
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This article elaborates a theoretical, methodological, and analytical approach intended to highlight the materiality and reciprocity of noticing in mathematics classrooms.
This article elaborates a…
Strengthen Mathematics Intervention to Promote Student Success: Suggestions for middle level principals
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This article offers six suggestions for middle school principals to implement or strengthen mathematics intervention classes at their schools, based off the findings of the authors' NSF-funded research…
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This paper describes a partnership between a university and an urban school district, formed with a goal of preparing mathematics teacher leaders to conduct professional development (PD) at their schools…
On the Alignment of Teachers’ Mathematical Content Knowledge Assessments with the Common Core State Standards
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This article provides content maps for two widely used teacher assessment instruments in the USA relative to the widely adopted Common Core State Standards. This common reference enables comparisons of content alignment…
Impacts of Attending an Inclusive STEM High School: Meta-analytImpacts of Attending an Inclusive STEM High School: Meta-analytic Estimates from Five Studiesic Estimates from Five Studies
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This study uses a meta-analytic approach to investigate the relationship between attending an inclusive STEM high school and a set of high school outcomes known to predict college entry and declaration of a STEM college…
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This study evaluated a portion of our learning trajectory, focusing on the instructional component. We found that the instruction was successful in promoting a progression from one level to the next for 40% of the children…
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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Designed to be integrated with any curriculum, each grade level includes 18-20 one-hour lessons to be conducted throughout the school year. Each LEAP lesson lasts about an hour is designed to fit within a typical daily…
Design, Development, and Initial Testing of Asset-Based Intervention Grounded in Trajectories of Student Fraction Learning
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One of the most relentless areas of difficulty in mathematics for children with learning disabilities (LDs) and difficulties is fractions. This article reports the development and initial testing of an intervention…
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Learning goals differ from performance goals. This article elaborates on their function and importance as the guiding force behind maintaining cognitive rigor during mathematics learning.
Learning goals…
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This paper explores the theoretical connection between STEM and emergent technologies, with a focus on learner behaviors and the potential of technology-mediated experiences with computational participation (CP) in shaping…
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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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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…