Projects

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 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 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 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 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 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.

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.

The project plans to develop and study a series of metacognitive strategies that support learning and engagement for struggling middle school students during makerspace experiences. The study will focus narrowly on establishing a foundational understanding of how to ameliorate barriers to engaging in design learning through the use of metacognitive strategies. The project plans to translate and apply research on the use of metacognitive strategies in supporting struggling learners to develop approaches that teachers can implement to increase opportunities for students who are the most difficult to reach academically.

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.

This project will design and study new learning environments integrating mathematical and computational thinking. The project will examine how to design learning modules that place mathematics concepts. By exploring how different kinds of designs support learning and engagement, the project will establish a set of design principles for supporting mathematical and computational thinking.

This project will develop a scalable, classroom-focused measure of usable mathematics teaching knowledge that is aligned with the state standards through a classroom video analysis measure (CVA-M) in three content areas: (a) fractions for grades 4 and 5, (b) ratio and proportions for grades 6 and 7; and (c) variables, expressions, and equations for grades 6 and 7. The project will examine the psychometric properties of the new items and scales, including the reliability of scores, and collect evidence on content, substantive, structural, and external aspects of validity to evaluate the overall construct validity of the CVA-M.

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 primary aim of this study is to develop mathematics screening assessment tools for Grades K-2 over the course of four years that measure students' abilities in numeric relational reasoning and spatial reasoning. The team of researchers will develop Measures of Mathematical Reasoning Skills system, which will contain Tests of Numeric Relational Reasoning (T-NRR) and Tests of Spatial Reasoning (T-SR). The measures will be intended for use by teachers and school systems to screen students to determine who is at-risk for difficulty in early mathematics, including students with disabilities.

This conference will continue the workshop series Critical Issues in Mathematics Education (CIME). The topic for CIME 2018 will be "Access to mathematics by opening doors for students currently excluded from mathematics". 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.

This project will study the design and development of PD that supports teacher development and student learning, and provide accumulation of evidence to inform teacher educators, administrators, teachers, and policymakers of factors associated with successful PD experiences and variation across teachers and types of PDs. The study will examine teachers' uptake of mathematics content, pedagogy and materials from different types of professional development in order to understand and unpack the factors that are associated with what teachers take up and use two-three years beyond their original PD experience.

This project is developing and studying high school curriculum modules that integrate social justice topics with statistical data investigations to promote skills and interest in data science among underrepresented groups in STEM.

This project will address the need for engineering resources by applying an innovative pedagogy called Imaginative Education (IE) to create middle school engineering curricula. In IE, developmentally appropriate narratives are used to design learning environments that help learners engage with content and organize their knowledge productively. This project will combine IE with transmedia storytelling.

This project will address the need for engineering resources by applying an innovative pedagogy called Imaginative Education (IE) to create middle school engineering curricula. In IE, developmentally appropriate narratives are used to design learning environments that help learners engage with content and organize their knowledge productively. This project will combine IE with transmedia storytelling.

Project researchers are training pre-service teachers to tutor students with learning disabilities in Algebra 1, combining principles from special education, mathematics education, and cognitive psychology. The trainings emphasize the use of gestures and strategic questioning to support students with learning disabilities and to build students’ understanding in Algebra 1. These trainings will prepare tutors to address the challenges that students with learning disabilities often face—especially challenges related to working memory and processing—and to build on students’ strengths as they engage with Algebra 1.

This project will promote pre-K teachers' use of specific teaching strategies that have been shown to enhance young children's learning and social skills. To enhance teachers' use of these practices, the project will develop a new practitioner-friendly version of the Classroom Quality Real-time Empirically-based Feedback (CQ-REF) tool for instructional coaches who work with pre-K teachers. The CQ-REF tool will guide coaches' ability to observe specific teacher practices in their classrooms and then provide feedback to help teachers evaluate their practices and set goals for improvement, addressing the need for accessible, real-time feedback on high quality pre-K classroom teaching.