This program of research will examine how middle school pre-service teachers' knowledge of mathematical argumentation and proving develops in teacher preparation programs. The project explores the research question: What conceptions of mathematical reasoning and proving do middle school preservice teachers hold in situations that foster reasoning about change, proportionality, and proportional relationships, as they enter their mathematics course sequence in their teacher preparation program, and how do these conceptions evolve throughout the program?
Projects
This project will use classroom-based research to teach children about important algebraic concepts and to carefully explore how children come to understand these concepts. The primary goal is to identify levels of sophistication in children's thinking as it develops through instruction. Understanding how children's thinking develops will provide a critical foundation for designing curricula, developing content standards, and informing educational policies.
This project is documenting how students with learning disabilities (LD) access and advance their conceptual understanding of fractions. Rather than focusing on the knowledge students do not have, this work is focused on uncovering students' informal knowledge that can bridge to fractions and how instruction can be used to promote conceptual change.
SciMath-DLL is an innovative preschool professional development (PD) model that integrates supports for dual language learners (DLLs) with high quality science and mathematics instructional offerings. It engages teachers with workshops, classroom-based coaching, and professional learning communities. Based on initial evidence of promise, the SciMath-DLL project will expand PD offerings to include web-based materials.
This study examines non-cognitive factors, mindsets, cognitive factors, and strategies for learning mathematics, in the context of a MOOC combined with classroom instruction for middle grades students in mathematics. No previous mindset study has researched the impact of mindset messages within mathematics, and the proposed study will add important knowledge to this field.
The objective of this project is to develop a toolkit of resources and practices that will help inservice middle grades mathematics teachers support mathematical argumentation throughout the school year. A coherent, portable, two-year-long professional development program on mathematical argumentation has the potential to increase access to mathematical argumentation for students nationwide and, in particular, to address the needs of teachers and students in urban areas.
The overarching goal of this RAPID project is to contribute to the national goal of improving students' mathematical proficiency by providing information and guidance to mathematics education practitioners and scholars to support a sharpened focus on formative assessment. The project produces, analyzes, and makes available to the field timely information regarding the views and practices of mathematics teacher educators and professional development specialists regarding formative assessment early in the enactment of ambitious standards in mathematics.
Most students learn about negative numbers long after they have learned about positive numbers, and they have little time or opportunity to build on their prior understanding by contrasting the two concepts. The purpose of this CAREER project is to identify language factors and instructional sequences that contribute to improving elementary students' understanding of addition and subtraction problems involving negative integers.
PATHWAYS has two primary objectives: (1) To develop mathematics teachers who approach classrooms with a researcher's mindset, making instructional decisions based on empirical data; (2) To engage aspiring mathematics teachers in systematic formal mathematics education research, thereby providing foundations for participation in mathematics education graduate programs.
This project will study whether elementary mathematics specialists who participated in an intensive educational program supported by DRK-12 have continued providing leadership when they returned to teaching full-time. In what ways are specialist-teachers continuing to use their leadership expertise in their school, district, and state? How do district administrators, building administrators, and teachers shape specialist-teachers' opportunities for leadership? What other factors shape these opportunities? What is the impact of specialist-teachers on their schools' leadership culture?
This project provides professional development and support for teachers of mathematics in Grades 3-5 and assesses the impacts of the project through a rigorous cluster randomized control trial. The project supports teachers to provide instruction that helps all students reach ambitious academic goals in mathematics.
The overarching goal of this project is to develop innovative instructional resources and professional development to support middle grades teachers in meeting the challenges set by college- and career-ready standards for students' learning of algebra.
This project tests and refines a hypothetical learning trajectory and corresponding assessments, based on the collective work of 50 years of research in mathematics education and psychology, for improving students' ability to reason, prove, and argue mathematically in the context of algebra. The study produces an evidence-based learning trajectory and appropriate instruments for assessing it.
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.
The PI of this project argues cogently that assessment of pre-service teacher preparedness to teach is based on a flawed model. The goal then is to use a simulation model from other professional arenas: the training of doctors, nurses, etc., to offer new insights and control for the many variables that come to play when conducting evaluations in practice.
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 RAPID project is a cross-national comparative study of U.S. and Chinese instructional support systems, building from earlier data about mathematics teaching and learning in large urban school districts of both the United States and the People's Republic of China. The study uses quantitative methods to compare and contrast the effectiveness of supports (e.g., professional development, teacher networks, school leadership) in improving teachers' instructional practices and student achievement using comparable instrumentation.
This exploratory project is studying the use of mathematics and science specialist teachers in elementary schools. The first four studies are in six school districts in Washington State. They are characterizing and categorizing the specialists, investigating the content knowledge, preparation and needs of these teachers, determining their instructional effectiveness, and determining their impact on student learning and attitudes towards mathematics and science.
The objective of this study is to examine the impact of ITEAMS intervention strategies on student persistence in high school STEM course-taking and career expectations, and the value that students place on STEM careers.
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 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.
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.