This project is designing digital games for middle school students that will help them prepare for success in Algebra. The games are intended to help students gain a deep understanding of measurement and fraction concepts that are critical as they begin to learn algebra. The project studies students' development of fraction concepts, their engagement in the tasks, and the use of hand-held devices as a useful platform for games.
Projects
This project develops images, extended examples, and principles that illustrate how the articulation, representation and justification of general claims about operations evolve in the elementary grades and how this work supports the transition from arithmetic to algebra in the middle grades. An online course uses the Sourcebook as a text to engage teachers in considering the underlying pedagogical and mathematical aspects of the work and implementing these ideas in their instruction.
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.
We are analyzing the intended algebra curriculum as represented in a variety of high-school mathematics textbooks – Core Plus Mathematics Project (CPMP), Discovering Mathematics (Key Curriculum Press), EDC's Center for Mathematics Education, Glencoe, Interactive Mathematics Program (IMP), and University of Chicago School Mathematics Project (UCSMP). The textbook analysis is based on two dimensions frequently used for curriculum analysis: a content dimension and a cognitive dimension.
This project aims to elaborate a structure for practice-oriented, collaborative professional development that increases the capacities for collaborative learning by facilitating teacher-to-teacher interactions within and across cultural contexts. By convening international groups of teachers to design lessons and provide and respond to commentaries on their lesson designs, the project introduces possibilities for surfacing and disrupting common experiences, assumptions, and norms in US mathematics teaching.
This project’s overarching goal is to evaluate the assessment components embedded within two NSF-supported mathematics curricula: Everyday Mathematics and Math Trailblazers. The investigators will apply a comprehensive validity perspective that integrates a variety of empirical evidence regarding the cognitive, psychometric, and instructional affordances of multiple assessments embedded in these curricula as part of their overall instructional design.
Tutoring programs that are jointly supported by schools and universities can offer benefits to both parties. The programs, however, are only helpful to the extent they respond to the needs and interests of the students and schools they serve. This project will establish a partnership between a large, urban university and a small, rural high school to collaboratively create a tutoring program to support the mathematics learning of students with learning disabilities.
This project will develop and test a digital platform for middle school mathematics classrooms to help students deepen and communicate their understanding of mathematics. The digital platform will allow students to collaboratively create representations of their mathematics thinking, incorporate ideas from other students, and share their work with the class.
This project is researching the efficacy of a learning and assessment system that emphasizes students' attaining proficiency or better on a limited set of high value learning objectives in Algebra.
The project will design an assessment based on learning progressions for the concept of function - a critical concept for algebra learning and understanding. The goal of the assessment and learning progression design is to specifically incorporate findings about the learning of students traditionally under-served and under-performing in algebra courses.
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.
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.
Understanding of algebra concepts is necessary for students to gain access to STEM pathways. However, recent efforts in education have failed to improve algebra outcomes for many students, especially those with learning disabilities and persistent difficulties in mathematics. The primary goal of this project is to develop a supplemental intervention that intentionally develops students' concept of variable as they learn to (a) interpret and evaluate expressions, (b) represent real-life mathematical word problems using algebraic notation, and (c) solve linear equations. A focus on clarifying common misconceptions about variables will be interwoven throughout the program.
The goal of this project is to study the design and development of community-centered, job-embedded professional development for classroom teachers that supports bias reduction. The project team will partner with three school districts serving racially, ethnically, linguistically, and socio-economically diverse communities, for a two-year professional development program. The aim is to reduce bias through: analyzing and designing mathematics teaching with colleagues, students, and families to create classrooms and schools based on community-centered mathematics; engaging in anti-bias teaching routines; and building relationships with parents, caretakers, and community members.
This project will use an alternative model for online videos to develop video units that feature the unscripted dialogue of pairs of students. The project team will create a repository of 6 dialogic mathematics video units that target important Algebra 1 and 2 topics for high school and upper middle school students, though the approach can be applied to any STEM topic, for any age level.
The Common Core State Standards for Mathematics (CCSSM) problem-solving measures assess students’ problem-solving performance within the context of CCSSM math content and practices. This project expands the scope of the problem-solving measures use and score interpretation. The project work advances mathematical problem-solving assessments into computer adaptive testing. Computer adaptive testing allows for more precise and efficient targeting of student ability compared to static tests.
The Common Core State Standards for Mathematics (CCSSM) problem-solving measures assess students’ problem-solving performance within the context of CCSSM math content and practices. This project expands the scope of the problem-solving measures use and score interpretation. The project work advances mathematical problem-solving assessments into computer adaptive testing. Computer adaptive testing allows for more precise and efficient targeting of student ability compared to static tests.
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 is developing and testing a curricular learning progression of early algebra objectives and activities for students in grades 3 - 5. The goal of the work is to provide teachers with curricular guidance and instructional resources that are useful in preparing students for success in study of algebra at the middle grade level. The project is also developing and validating assessment tools for evaluating student progress toward essential pre-algebra mathematical understandings.
This project will provide a field-based science and mathematics teacher education program that supports teaching focused on students’ affective development through culturally responsive practices. The project's teacher education program takes place over a two-year period and models how culturally responsive and affective instruction can occur in the STEM classroom to engage students.
This project will study a successful, ambitious mathematics reform effort in high-needs secondary schools. The goal is to develop resources and tools to support other high-needs schools and districts in transforming and sustaining their mathematics programs. The model focuses on the resources required for change and the aspects of the organization that support or constrain change in mathematics teaching and learning.
This project is developing Core Math Tools, a suite of Java-based software including a computer algebra system (CAS), interactive geometry, statistics, and simulation tools together with custom apps for exploring specific mathematical or statistical topics. Core Math Tools is freely available to all learners, teachers, and teacher educators through a dedicated portal at the National Council of Teachers of Mathematics (NCTM) web site.
This five-year project investigates how to provide continuous assessment and feedback to guide students' understanding during science inquiry-learning experiences, as well as detailed guidance to teachers and administrators through a technology-enhanced system. The assessment system integrates validated automated scorings for students' written responses to open-ended assessment items into the "Web-based Inquiry Science Environment" (WISE) program.
The primary goal of the project is to enhance secondary mathematics teacher education for pre-service teachers by developing, implementing and disseminating resources from a four-course curriculum that brings together the study of mathematics content and pedagogy. Three of the courses are problem-based technology enhanced (PBTE) courses in Algebra and Calculus, Geometry, and Probability and Statistics. A fourth course is a capstone course in Teaching and Learning Secondary School Mathematics.
This project will develop a process for creating a shared, state-wide vision of high-quality mathematics instruction. It will also develop and study the resources to implement that vision at the state, district, and school levels. In addition, the project will investigate a collaborative process of designing and implementing high-quality mathematics instruction at a state level.