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 two-year project will develop, pilot, validate, and publish a Teacher's Guide to the Science and Mathematics Resources of the ELPD Framework. This guide and related materials will translate the key science and mathematics concepts, ideas, and practices found within the ELPD Framework into classroom resources for direct use by teachers, schools, and districts to support English learners (ELs).

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.

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.

This project is designing and conducting a crowd-sourced open innovation challenge to young people of ages 13-18 to mitigate levels of greenhouse gases. The goal of the project is to explore the extent to which the challenge will successfully attract, engage and motivate teen participants to conduct sustained and meaningful scientific inquiry across science, technology and engineering disciplines.

The project will use a comprehensive mixed methods design to develop theoretically-grounded measures of student engagement in middle school math and science classes that reflect a multidimensional construct within an ethnically and socioeconomically diverse sample of urban youth. The project conceptualizes student engagement as a multidimensional construct including behavioral, emotional, and cognitive components. This multidimensional perspective of student engagement provides a rich characterization of how students act, feel, and think.

This research and development project is premised on the notion that recent technological developments have made it feasible to represent classroom work in new ways. In addition to watching recorded videos of classroom interactions or reading written cases, teacher educators and teachers can now watch animations and image sequences, realized with cartoon characters, and made to depict activities that happened, or could have happened, in a mathematics classroom.

The Colorado Learning Assistant (LA) model, recognized nationally as a hallmark teacher recruitment and preparation program, has run a national workshop annually for four years to disseminate and scale the program. This project expands the existing annual workshop to address changing needs of participants and to prepare eight additional faculty members to lead new regional workshops.

Technical assistance is being provided to key leaders in state education agencies (SEAs) to: 1) build SEA leaders' knowledge about effective mathematical professional development research; 2) deepen their understanding about necessary supports and structures that should be in place; and 3) enable SEA leaders to incorporate what they learn and analyze to their existing mathematics college- and career-readiness standards implementation plans.

This project contributes to the small research base by exploring the validity of Technology-Enhanced Items (TEIs) in the context of elementary geometry. The project addresses three research questions: 1) To what extent are TEIs a valid measurement of geometry standards in the elementary grades?; 2) To what extent do TEIs provide an improved measurement compared to SR items?; and 3) What are the general characteristics of mathematics standards that might be better measured through TEIs?

The proposed project initiates new research and an integrated education plan to address specific problems in middle school mathematics classrooms by investigating (1) how to effectively differentiate instruction for middle school students at different reasoning levels; and (2) how to foster middle school students' algebraic reasoning and rational number knowledge in mutually supportive ways.

This working conference will help university professors who teach elementary mathematics methods courses learn to use Complex Instruction, a research-proven pedagogy for building mathematical content knowledge and supporting the learning of diverse students.

This exploratory project builds on twelve years of successful experience with the summer program for secondary mathematics teachers at PCMI. It addresses the following two needs in the field of professional development for secondary mathematics teachers: increase content knowledge and understanding of the Common Core State Standards for Mathematics; and investigate and develop alternative models to conduct content-based professional development that meets the recommendations of the MET-II report.

The development of six curricular projects that integrate mathematics based on the Common Core Mathematics Standards with science concepts from the Next Generation Science Standards combined with an engineering design pedagogy is the focus of this CAREER project.

This project uses learning analytics and educational data mining methods to examine how elementary students learn in an online game designed to teach fractions using the splitting model. The project uses data to examine the following questions: 1) Is splitting an effective way to learn fractions?; 2) How do students learn by splitting?; 3) Are there common pathways students follow as they learn by splitting?; and 4) Are there optimal pathways for diverse learners?

The goal of this project is to extend the theoretical and methodological construct of noticing to develop the concept of reciprocal noticing, a process by which teacher and student noticing are shared. The researcher argues that through reciprocal noticing the classroom can become the space for more equitable mathematics learning, particularly for language learners.

This project will develop and study a professional development framework that is designed to help high school geometry teachers attend more carefully to student prior knowledge, interpret the learning implications of student prior knowledge, and adjust teaching practices accordingly. Participating teachers will participate in study groups that analyze animations of productive teaching practices; they will collaborate in planning, implementing, and analyzing geometry lessons; and they will critique videos of their own classroom instruction.

The main goal of this mathematics education research project is to determine through experimentation specific teaching strategies that can be used to support middle school students in drawing connections between mathematical representations (fractions and ratios). The potential instructional strategies were identified from the Third International Mathematics and Science Study (TIMSS) video analyses study as the ones that best distinguished high performing countries from low performing countries.

This CAREER proposal has four objectives: 1) examine the nature of mathematics teachers' learning opportunities for instructional improvement, 2) examine how work contexts influence the quality of teacher learning opportunities, 3) examine the impact of teacher learning opportunities on changes in student mathematics achievement over four years, and 4) work with district and school administrators to promote instructional improvement and student achievement by effectively providing learning opportunities to mathematics teachers.

In this project, researchers are working with 4th and 5th grade teachers to improve their mathematics instruction by experimenting with different ways to implement the MQI model of professional development. The professional development experiences are intentionally aligned with the Mathematical Quality of Instruction (MQI) observation instrument. This research can inform models of professional development by providing more information about various ways that the same model of professional development can be implemented.

The core research questions of the project are: (1) What is the nature of high-leverage student thinking that teachers have available to them in their classrooms? (2) How do teachers use student thinking during instruction and what goals, orientations and resources underlie that use? (3) What is the learning trajectory for the teaching practice of productively using student thinking? and (4) What supports can be provided to move teachers along that learning trajectory?

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.

As part of a SAVI, researchers from the U.S. and from Finland will collaborate on investigating the relationships between engagement and learning in STEM transmedia games. The project involves two intensive, 5 day workshops to identify new measurement instruments to be integrated into each other's research and development work. The major research question is to what degree learners in the two cultures respond similarly or differently to the STEM learning games.

The goal of the grant is to establish a culture of inquiry with all partners in order to develop interdiciplinary, authentic STEM learning environments. Design-based research provides iterative cycles of implementation to explore and refine the approach as a transformative model for STEM programs. The model supports a sustainable approach by building the capacity of schools to focus on design issues related to content, pedagogy, and leadership.

In this project researchers are implementing and studying a research-based curriculum that was designed to help children in grades 3-5 prepare for learning algebra at the middle school level. Researchers are investigating the impact of a long-term, comprehensive early algebra experience on students as they proceed from third grade to sixth grade. Researchers are working to build a learning progression that describes how algebraic concepts develop and mature from early grades through high school.