Projects

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?

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 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.

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?

The goal of this Transforming STEM Learning project is to comprehensively describe models of 20 inclusive STEM high schools in five states (California, New Mexico, New York, Ohio, and Texas), measure the factors that affect their implementation; and examine the relationships between these, the model components, and a range of student outcomes. The project is grounded in theoretical frameworks and research related to learning conditions and fidelity of implementation.

The goal of this project is to develop a provisional learning progression spanning grades K-5 that articulates and tests the potential of experiencing, describing, and representing space as the core of an integrated STEM education. The science of space has an extensive scope within and across disciplinary boundaries of science, mathematics and engineering; the project will create a coherent approach to elementary instruction in which mathematical reasoning about space is systematically cultivated.

Researchers, at the University of Houston, are designing, implementing and studying a curriculum that prepares preservice, elementary teachers for equitable teaching of mathematics. The program increases the mathematical knowledge of preservice teachers and helps them recognize and implement equitable instruction. The preservice teachers are learning to recognize equitable practices by using the Mathematical Quality and Equity Observation Protocol (MQE) to assess teaching as viewed in video cases.

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 research project is an investigation of the role that examples play in helping learners become proficient in proving mathematical conjectures. Researchers are building a framework that characterizes the development of example use as students advance from middle school into post secondary school. Using this developmental information, the researchers are creating instructional strategies that help students think about the nature and value of proof as well as how to construct a mathematical proof.

This workshop convenes leading practitioners and scholars of innovation to collectively consider how education in the US might be reconfigured to both support and teach innovation as a core curriculum mission, with a focus on STEM education. Workshop participants identify and articulate strategies for creating and sustaining learning environments that promise the development of innovative thinking skills, behaviors and dispositions and that reward students, faculty and administrator for practicing and tuning these skills.

The goal of this project is to develop and pilot test a limited number of free computer-based instructional activities that improve student graph comprehension, aimed especially at science students in grades 7 and 8. Because of growing interest in use of online resources for teaching and learning, this work is potentially transformative for a wide range of audiences, including teachers, students, researchers, and the developers and publishers of instructional materials across vSTEM areas and grades.

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.

This project is working with all teachers in grades three through five in the Portland, OR Public Schools in order to test the feasibility and efficacy of the Mathematics Studio Model of professional development. The model requires professional development to occur at the school level involving both teachers and principals. The goal of the project is to improve students' engagement and learning in mathematics by fostering effective instruction.

This study examines the impact of the newly revised Advanced Placement (AP) Biology and Chemistry courses on students' understanding of and ability to utilize scientific inquiry, on students' confidence in engaging in college-level material, and on students’ enrollment and persistence in college STEM majors. The project provides estimates of the impact of students' AP-course taking on their progress into postsecondary educational experiences and their intent to continue to prepare to be future engineers and scientists.

This project is developing teaching modules that engage high school students in learning and using mathematics. Using geo-spatial technologies, students explore their city with the purpose of collecting data they bring back to the formal classroom and use as part of their mathematics lessons. This place-based orientation helps students connect their everyday and school mathematical thinking. Researchers are investigating the impact of place-based learning on students' attitudes, beliefs, and self-concepts about mathematics in urban schools.

This collaborative project is developing an online, professional teaching community that addresses issues of assessment in mathematics classes. The developers are building on the success of the NSF-supported Math Forum's Problem of the Week program to create a community that works to increase students' mathematics learning by helping teachers stimulate student thinking, assess that thinking, and provide useful feedback to students.