Projects

This project builds upon the prior work by creating problem-solving measures for grades 3-5. The elementary assessments will be connected to the middle-grades assessments and will be available for use by school districts, researchers, and other education professionals seeking to effectively measure children's problem solving. The aims of the project are to (a) create three new mathematical problem-solving assessments and gather validity evidence for their use, (b) link the problem-solving measures (PSMs) with prior problem-solving measures (i.e., PSM6, PSM7, and PSM8), and (c) develop a meaningful reporting system for the PSMs.

The project is a longitudinal assessment of the prerequisite (e.g. fractions), cognitive (e.g. working memory), and non-cognitive (e.g. math anxiety) factors that dynamically influence 7-9th grade students' algebraic learning and cognition, with a focus on students with learning disabilities in mathematics. The study will provide the most comprehensive assessment of the development of algebra competence ever conducted and is organized by an integrative model of cognitive and non-cognitive influences on students' engagement in math classrooms and on the learning of procedural and spatial-related aspects of algebra.

This study can provide a basis for design research focused on developing effective materials and programs for flipped instruction in secondary mathematics, which is already occurring at an increasing rate, but it is not yet informed by empirical evidence. This project will result in a framework for flipped instruction robust enough to be useful at a variety of grade levels and contexts. The framework will provide a better understanding of the relationships among various implementations of flipped instruction and student learning.

This project will examine the impact on mathematics learning of an initiative to provide kindergartners in an urban school district with personal tablet devices that include free, widely available digital mathematics resources. The research questions examine how teachers use table-based mathematics resources during instruction, how caregivers and children engage with table-based mathematics resources, and how the resources then relate to kindergartners mathematics learning.

This project will explore the learning of mathematics through architectural tasks in an online simulation game, E-Rebuild. In the game-based architectural simulation, students will be able to complete tasks such as building and constructing structures while using mathematics and problem solving. The project will examine how to collect data about students' learning from data generated as they play the game, how students learn mathematics using the simulation, and how the simulation can be included in middle school mathematics learning.

This project focuses on the teaching practice of building on student thinking, a practice in which teachers engage students in making sense of their peers' mathematical ideas in ways that help the whole class move forward in their mathematical understanding. The study examines how teachers incorporate this practice into mathematics discussions in secondary classrooms by designing tasks that generate opportunities for teachers to build on students' thinking and by studying teachers' orchestration of whole class discussions around student responses to these tasks.

This project explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate algebra I students as they learn quadratic functions and examine how different kinds of instruction about the new concept of quadratic functions helps or hinders students' prior mathematical knowledge of the previous concept of linear functions. This award will contribute to the field of mathematics education by expanding the application of knowledge transfer, moving it from only a forward focused direction to include, also, a backward focused direction.

The goal of this project will be to provide the field with a cost-effective model for intense content-based professional development in ways that have not been possible before, except through costly face-to-face models, by creating and testing design principles for blended online courses. Team members will design, implement, and research the effects of a professional development immersion experience in mathematics for practicing secondary teachers (grades 7-12).

The goal of this project will be to provide the field with a cost-effective model for intense content-based professional development in ways that have not been possible before, except through costly face-to-face models, by creating and testing design principles for blended online courses. Team members will design, implement, and research the effects of a professional development immersion experience in mathematics for practicing secondary teachers (grades 7-12).

This project seeks to identify teaching practices that can be linked to students' early algebra learning in grades three, four and five. The goal of the project is to use assessment data and videos of classroom teaching in order to create a tool that can be used to document effective instructional practices. This observation tool can then be used to support teacher professional development in early algebra and research about how teachers' actions can be linked to students' learning.

This project focuses on the teaching practice of building on student thinking, a practice in which teachers engage students in making sense of their peers' mathematical ideas in ways that help the whole class move forward in their mathematical understanding. The study examines how teachers incorporate this practice into mathematics discussions in secondary classrooms by designing tasks that generate opportunities for teachers to build on students' thinking and by studying teachers' orchestration of whole class discussions around student responses to these tasks.

This conference will continue the workshop series Critical Issues in Mathematics Education (CIME). The CIME workshops engage professional mathematicians, education researchers, teachers, and policy makers in discussions of issues critical to the improvement of mathematics education from the elementary grades through undergraduate years. The workshop will deal with the problem of providing quality math education to all, and the barriers to doing so.

This project explores how secondary mathematics teachers can plan and enact learning experiences that spur student curiosity, captivate students with complex mathematical content, and compel students to engage and persevere (referred to as "mathematically captivating learning experiences" or "MCLEs"). The study will examine how high school teachers can design lessons so that mathematical content itself is the source of student intrigue, pursuit, and passion. To do this, the content within mathematical lessons (both planned and enacted) is framed as mathematical stories and the felt tension between how information is revealed and withheld from students as the mathematical story unfolds is framed as its mathematical plot.

This project lays the foundation and framework for enabling digital, multimodal tactile graphics on touchscreens for individuals with visual impairments (VI). Given the low-cost, portability, and wide availability of touchscreens, this work promotes the use of vibrations and sounds on these readily available platforms for addressing the graphical access challenge for individuals with VI. An open-source vibration library has been created and fundamental perceptual building blocks (e.g.\ shapes, lines, critical points, line width and gaps, etc.) guiding how basic graphical components should be rendered on these platforms is being disseminated.

This project lays the foundation and framework for enabling digital, multimodal tactile graphics on touchscreens for individuals with visual impairments (VI). Given the low-cost, portability, and wide availability of touchscreens, this work promotes the use of vibrations and sounds on these readily available platforms for addressing the graphical access challenge for individuals with VI. An open-source vibration library has been created and fundamental perceptual building blocks (e.g.\ shapes, lines, critical points, line width and gaps, etc.) guiding how basic graphical components should be rendered on these platforms is being disseminated.

This project lays the foundation and framework for enabling digital, multimodal tactile graphics on touchscreens for individuals with visual impairments (VI). Given the low-cost, portability, and wide availability of touchscreens, this work promotes the use of vibrations and sounds on these readily available platforms for addressing the graphical access challenge for individuals with VI. An open-source vibration library has been created and fundamental perceptual building blocks (e.g.\ shapes, lines, critical points, line width and gaps, etc.) guiding how basic graphical components should be rendered on these platforms is being disseminated.

This project lays the foundation and framework for enabling digital, multimodal tactile graphics on touchscreens for individuals with visual impairments (VI). Given the low-cost, portability, and wide availability of touchscreens, this work promotes the use of vibrations and sounds on these readily available platforms for addressing the graphical access challenge for individuals with VI. An open-source vibration library has been created and fundamental perceptual building blocks (e.g.\ shapes, lines, critical points, line width and gaps, etc.) guiding how basic graphical components should be rendered on these platforms is being disseminated.

This project proposes an assessment study that focuses on improving existing measures of teachers' Mathematical Knowledge for Teaching (MKT). The research team will update existing measures, adding new items and aligning the instrument to new standards in school mathematics.

This project supports the expansion of an interactive, online STEM Videohall where hundreds of NSF-funded researchers share their work through brief video narratives and interactive discussion.

The goal of this project is to improve the implementation of rigorous instructional materials in middle-grades mathematics at scale through a system of practical measures and routines for collecting and using data that both assesses and supports implementation.

The goal of this project is to improve the implementation of rigorous instructional materials in middle-grades mathematics at scale through a system of practical measures and routines for collecting and using data that both assesses and supports implementation.

The goal of this project is to improve the implementation of rigorous instructional materials in middle-grades mathematics at scale through a system of practical measures and routines for collecting and using data that both assesses and supports implementation.

The goal of this project is to improve the implementation of rigorous instructional materials in middle-grades mathematics at scale through a system of practical measures and routines for collecting and using data that both assesses and supports implementation.

The project will research the implementation of Transition to Algebra, a year-long mathematics course for underprepared ninth grade students taken concurrently with Algebra 1 to provide additional support, and its impact on students' attitudes and achievement in mathematics in combination with teachers' instruction and the types of supports teachers need to successfully implement the intervention.

This project's first goal is to study the national landscape of mathematics intervention classes, which are additional classes provided to struggling students, including learners with and without identified disabilities. We administered a survey to a nationally representative sample of 2,024 urban and suburban public schools with grades 6-8 to find out how these classes are being implemented and the types of challenges faced. Approximately 43% of schools (876 schools) responded to the survey; the findings revealed widespread implementation of these classes (69% of schools) and highlighted a range of practices in terms of class size, scheduling, duration, staffing and content focus. Our project's second goal is to apply the survey findings to design professional development to support teachers of mathematics intervention classes, helping them to build knowledge and practices for addressing students' wide range of learning needs.