This project is studying how young children in grades K-2 understand mathematical concepts that are foundational for developing algebraic thinking. Researchers are contributing to an ongoing effort to develop a learning trajectory that describes how algebraic concepts are developed. The project uses teaching experiments, with researchers talking directly to students as they explore algebraic ideas. They explore how students think about and develop concepts related to covariation, representations of functions, relationships among variable, and generalization.
Projects
This project will develop, test, and refine a curriculum supplement (a hands-on technology) that (1) promotes childrens' understanding of number (counting, comparing, and ordering) and fair sharing (equipartitioning); (2) uses interactive media on an emerging handheld platform (touch screen tablets), integrating new multi-touch activities with existing hands-on activities; (3) enhances opportunities for learning with interactive media through shared use with adult guides and peers; and (4) provides professional and technical support materials for preschool educators.
This is a four-year project that is producing materials designed to help teachers see how the mathematical practices described in the Common Core State Standards for mathematics can be implemented in mathematics instruction. The goal of the improved instruction is to help students adopt and value these critical mathematical practices.
This project will build and validate learning trajectories (LTs) in mathematics for fraction, ratio, and for decimal and percent to represent learning by grades 3-7 students. A system will be developed to automate data collection for field testing assessment items to determine students' attainment of proficiency levels. Three LTs will be produced and validated along with over 125 assessment items for each of these three trajectories. These assessment items will be useful for diagnosing student learning.
This project recruited high school African American males to begin preparation for science, technology, engineering and mathematics teaching careers. The goal of the program was to recruit and prepare students for careers in secondary mathematics and science teaching thus increasing the number of African Americans students in STEM. The research will explore possible reasons why the program is or is not successful for recruiting and retaining students in STEM Teacher Education programs
This study is investigating the classroom factors and teacher characteristics that contribute to Latino English Language Learners' (ELL) gains in mathematics learning in the eighth grade. In addition to looking for key characteristics that influence mathematics learning, the researchers are measuring teachers' knowledge of mathematics for teaching, quality of instruction, and knowledge about English learners.
The Science and Mathematics Simulated Interaction Model (SIM) project will design and clinically test simulations for teachers. The hypothesis is that simulations will identify strengths and misconceptions in teachers' understanding of content and pedagogy, increase instructional capacity, and advance student achievement. The SIM will be for pre-service and induction-stage teachers. The simulations will focus on common problems of practice, challenges, dilemmas, issues that mathematics and science teachers encounter at the secondary level.
This project is investigating the learning that can take place when elementary school students are directly involved in the collection, sense-making, and analysis of real, personally-meaningful data sets. The hypotheses of this work are that by organizing elementary statistics instruction around the study of physical activities, students will have greater personal engagement in data analysis processes and that students will also develop more robust understandings of statistical ideas.
This project investigates the outcomes of a teacher education model designed to foster prospective mathematics teachers' abilities to notice and capitalize on important mathematical moments in instruction. The project engages prospective teachers in research-like analysis of unedited teacher-perspective classroom video early in their teacher education coursework in order to help them learn to identify, assess the mathematical potential of, and respond to important student ideas and insights that arise during instruction.
This project aims to pull together a diverse set of experts to make research-based recommendations on how to implement massive professional development that is needed to effectively employ the Common Core State Standards (CCSS) in a way that will reform classroom instruction in mathematics for grades K-12. The project is convening a meeting of experts to recommend how to design, implement, and assess large-scale professional development systems.
This project is designing and implementing a professional development model that uses data from the Surveys of Enacted Curriculum (SEC) to improve mathematics instruction at the high school level.
This conference's primary goal is to discuss issues and recommend actions regarding assessment design and production that arise in an environment of Common Core State Standards (CCSS). Participants will include representatives from the governing states as well as from the leadership teams of the assessment consortia along with experts in curriculum development, standards implementation and assessment.
This study examines ways that teacher-level factors (including teacher background variables and instructional practices) and student-level factors (such as self-rated mathematics interest and proficiency), and interactions among these factors, are associated with American Indian/Alaska native (AI/AN) student academic achievement in middle grades mathematics. The ultimate goal is to identify malleable factors that, if changed, could improve teachers' practices and AI/AN student achievement in mathematics.
This project continues research and development work on high school instructional materials that integrate biology, computing, and mathematics. The project goal is to develop and test a one-semester high school course. The course consists of some modules developed under a previous NSF grant as well as some new material. Intended deliverables include up to five new instructional modules and a coherent one-semester course suitable for the increasing state requirements for a fourth year of mathematics.
This project is organizing and hosting a National Forum on Content-Based Professional Development for Teachers of Mathematics. Expanding on work begun at two previous CBMS Forums, this third forum will provide the participants with a better understanding of the features of high quality content-based professional development and increase the number of college and university mathematics departments who partner with state departments and local school districts to provide professional development to working teachers.
This project is organizing and hosting a working conference on Response to Intervention (RtI) and related strategies in teaching and assessment in Mathematics. Goals of this work are: To build a community of researchers and practitioners to identify, expand and sustain research needs in this area; to identify and improve the research available related to teaching mathematics within an RtI model; and to develop resources to support teacher's understanding and application of RtI strategies.
This project is using Second Life and other technology to structure carefully planned learning experiences for pre-service teachers. Virtual technologies are used to provide pre-service teachers practice in presenting and assessing problem solving activities in a virtual classroom with diverse populations. Researchers hypothesize that technology enriched strategies have the potential to deepen pre-service teachers' understanding and effectiveness in teaching emerging algebra concepts to diverse student populations.
This project is initiating an innovative approach to pre-K students' development of quantitative reasoning through measurement. This quantitative approach builds on measurement concepts and algebraic design of the pre-numeric stage of instruction found in the Elkonin-Davydov (E-D) elementary mathematics curriculum from Russia. The project team is adapting and refocusing the conceptual framework and learning tasks of the E-D pre-numeric stage for use with four-year-olds.
This project is studying the impact of implementing a NSF-funded, high school mathematics curriculum that emphasizes mathematical habits of mind. This curriculum focuses on ways of thinking and doing mathematics in contrast with curricula that focus on mathematical topics. The project is studying the development of teachers' mathematical knowledge for teaching and their capacity to align their instruction with the new curriculum.
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.
This project is a collaborative effort that aims to develop a grade 3-5 Learning Progression that will provide a coherent approach to teaching energy in elementary school and lay a strong foundation for further learning in middle school. The project will identify a network of core concepts and principles about energy that are fundamental and general enough to be compatible with scientific ideas about energy, yet within reach of 5th graders.
This project uses items and data from the Program for International Student Assessment (PISA) to develop two kinds of resources for preparation and professional development of secondary mathematics teachers: one in the form of prototype professional learning materials and a second in the form of PISA-based, research-grounded articles written for mathematics teachers and teacher educators. Work on both resources will focus on algebra and quantitative literacy and on factors influencing educational equity.
This project will investigate how complex systems concepts supported by innovative curricular resources, technology applications and a comprehensive research and development structure can assist student learning in the domain of biology by providing a unifying theme across scales of time and space. The project seeks to address four areas of critical need in STEM education: biological sciences, complex systems, computational modeling, and equal access for all.
This is a 3.5-year efficacy study of the Developing Mathematical Ideas (DMI) elementary math teacher professional development (PD) program. DMI is a well-known, commercially available PD program with substantial prior evidence showing its impact on elementary teachers' mathematical and pedagogical knowledge. However, no studies have yet linked DMI directly with changes in teachers' classroom practice, or with improved student outcomes in math. This study aims to remedy this gap.
This project is creating and studying a professional development model to support preK teachers in developing culturally and developmentally appropriate practices in counting and early number. The proposed model is targeted at teachers of children in four-year-old kindergarten, and focuses on culturally relevant teaching and learning. The model stresses counting and basic number operations with the intention of exploring the domain as it connects to children's experiences in their homes and communities.