This project seeks to understand the practical rationality that undergirds teachers’ actions as they meet subject-specific goals of the teaching of algebra and geometry. The study develops a collection of representations of teaching that showcase possible classroom episodes and allows practitioners to ponder alternatives in teaching. The representations are built on computer animations and other forms of sequential art that display action over time.
Projects
This project addresses the growing need for research to support teachers in developing expertise in responsive decision making in which teachers elicit and build on children's mathematical thinking in the midst of instruction.
This project is developing a data literacy curriculum for 7th grade students which is composed of four two-week units to be taught in social studies, mathematics, science and English courses. The curriculum utilizes data on water use and quality in Ohio, chosen because other communities will have comparable data to modify the curriculum to meet their needs. Central to the curriculum are the issue of fairness and how data are used to make societal decisions.
The Third National Conference on Doctoral Programs in Mathematics Education will bring together a group of faculty members in mathematics education from a range of institutions that currently graduate doctorates in mathematics education.
This project will support the participation of 55 U.S. K-12 mathematics teachers or supervisors, graduate students, community college/university mathematics teachers, mathematicians, mathematics teacher educators and mathematics education researchers to attend the Thirteenth International Congress for Mathematical Education (ICME-13) to be held in Hamburg, Germany, July 24-31, 2016. The project will also prepare an educational status report (called the Fact Book) for the United States.
The study includes two and a half years of preparation and support for all the mathematics instructional leaders (ILs) within a large urban school district with a substantial minority student enrollment. These ILs will implement the Problem-Solving Cycle model with the mathematics teachers in their schools. Researchers will analyze the preparation and support that ILs need, the quality of their implementation, and the impact of the PD process on ILs, teachers, and students.
This project supports the development of technological fluency and understanding of STEM concepts through the implementation of design collaboratives that use eCrafting Collabs as the medium within which to work with middle and high school students, parents and the community. The examine how youth at ages 10-16 and families in schools, clubs, museums and community groups learn together how to create e-textile artifacts that incorporate embedded computers, sensors and actuators.
This research and development project provides resources for ninth-grade mathematics students and teachers by developing, piloting, and field-testing intervention modules designed as supplementary materials for Algebra 1 classes (e.g., double-period algebra). Rather than developing isolated skills and reviewing particular topics, these materials aim to foster the development of mathematical habits of mind—in particular, the algebraic habit of abstracting from calculations, a key unifying idea in the transition from arithmetic to algebra.
This project will develop a mathematics course for the fourth year of high school. The new course is being designed for students who will enter post-secondary education and will major in programs not requiring Calculus. The new course includes mathematics from a problem-solving or applications perspective, and serves as a bridge to college mathematics and statistics. Unit topics include functions, modeling, algebraic strategies, binomial distributions, and information processing.
Given the changes in instructional practices needed to support high quality mathematics teaching and learning based on college and career readiness standards, school districts need to provide professional learning opportunities for teachers that support those changes. The project is based on the TRUmath framework and will build a coherent and scalable plan for providing these opportunities in high school mathematics departments, a traditionally difficult unit of organizational change.
Given the changes in instructional practices needed to support high quality mathematics teaching and learning based on college and career readiness standards, school districts need to provide professional learning opportunities for teachers that support those changes. The project is based on the TRUmath framework and will build a coherent and scalable plan for providing these opportunities in high school mathematics departments, a traditionally difficult unit of organizational change.
This project will include activities such as workshops, conferences and symposia designed to further develop the field of mathematics instruction both nationally and internationally. Specifically, the grant will support (1) a workshop on Chinese and U.S. teacher preparation; (2) a workshop on international comparative assessments in mathematics; and (3) a workshop on challenges in non-university Tertiary Mathematics Education.
The goals of this nine-week summer program are to develop undergraduates' knowledge and skills in biology education research, encourage undergraduates to pursue doctoral study of biology teaching and learning, expand the diversity of the talent pool in biology education research, strengthen and expand collaborations among faculty and students in education and life sciences, and contribute to the development of theory and knowledge about biology education in ways that can inform undergraduate biology instruction.
The purpose of this project is to investigate issues in the design and implementation of effective virtual learning communities (VLCs) for teachers and to examine the relation between teachers' reflective engagement with VLCs and their students' mathematics learning outcomes. Findings from this project will be used to build and share effective ways to support teacher learning online.
Understanding Space Through Engineering Design investigates how engaging K-5 children from underrepresented populations in the design of packages, maps, and mechanisms supports the development of spatial reasoning and spatial mathematics. The prime conjecture is that engineering design makes spatial mathematics more tangible and purposeful, and that systematic support for spatial reasoning and mathematics, in turn, influences the nature of children's designs and their understanding of how those designs work.
Increased focus on school accountability and teacher performance measures have resulted in STEM instruction that emphasizes content and procedural knowledge over critical thinking and real-world applications. Yet, critical thinking and application are essential in developing functional scientific literacy skills among students. This need is perhaps most pressing in economically depressed urban settings. One strategy to promote STEM engagement and learning is to make clear and meaningful connections between STEM concepts, principles, and STEM-related issues relevant to the learner. Socioscientific issues (SSI) and the Social Justice STEM Pedagogies (SJSP) framework can provide a powerful avenue for promoting the desired kinds of engagement. This collaborative research project is designed to investigate the effectiveness of a professional development (PD) program for STEM teachers to develop their pedagogical content knowledge in teaching SSI and SJSP.
This synthesis project will inform educators and policymakers about the cumulative evidence that exists on the impacts of a variety of contextual factors on a multitude of STEM outcomes (e.g., math and science achievement, self-efficacy, future goals). This project will provide new evidence regarding the significance of youth contexts on STEM outcomes that will assist policy makers and educators in evaluating productive educational environments.
This conference will shed light on how mathematics and science teacher educators are currently using lesson study to prepare pre-service teachers. The project will improve teacher educators' understanding of how lesson study can be optimized to teach pre-service teachers which will help bring this technique to the future teachers in their programs.
This project will develop and implement a working conference for scholars and practitioners to articulate current use cases and theories of action regarding the use of simulations in PreK-12 science and mathematics teacher education. The conference will be structured to provide opportunities for attendees to share their current research, theoretical models, conceptual views, and use cases focused on the design and use of digital and non-digital simulations for building and assessing K-12 science and mathematics teacher competencies.
This project examines the nature and process of collaborations between mathematicians and mathematics teacher educators engaged in the preparation of secondary mathematics teachers. KnoTSS participants are teams of mathematicians and educators who co-teach two courses (one mathematics course and one methods of teaching mathematics course) aimed at building integrated knowledge of content and pedagogy.
This project seeks to measure the kinds of knowledge developed in professional development (PD) programs that have been shown to matter for teachers' classroom practices and their students' learning. The project aims to develop an assessment that identifies patterns in the teachers' learning in a way that helps drive subsequent PD.The overall goal of this project is to pursue a potentially transformative approach to the assessment of teacher proportional knowledge by developing a measure that is well aligned with the content and skills taught in various PD programs.
This project aims to support stronger student outcomes in the teaching and learning of geometry in the middle grades through engaging students in animated contrasting cases of worked examples. The project will design a series of animated geometry curricular materials on a digital platform that ask students to compare different approaches to solving the same geometry problem. The study will measure changes in students' procedural and conceptual knowledge of geometry after engaging with the materials and will explore the ways in which teachers implement the materials in their classrooms.
This project will test new instructional approaches designed to help K-1 students comprehend place value. The project will emphasize the underlying relational structure of place value symbols, and target this structure with instructional materials and techniques drawn from the structure mapping literature. Its theory of action is that instruction which scaffolds structure mapping for place value will better prepare children to face the challenges of advanced operations, such as multi-digit calculation.
This project will test new instructional approaches designed to help K-1 students comprehend place value. The project will emphasize the underlying relational structure of place value symbols, and target this structure with instructional materials and techniques drawn from the structure mapping literature. Its theory of action is that instruction which scaffolds structure mapping for place value will better prepare children to face the challenges of advanced operations, such as multi-digit calculation.
This project that creates a set of materials for middle grades students and teacher professional development that would support the learning of early algebra. Building on their prior work with an elementary version, the efficacy study focuses on the implementation of the principals underlying the materials, fidelity of use of the materials, and impact on students' learning.