Projects

This project will develop three replacement units for biology and refine them through classroom testing. The units will be models of STEM integration by using the important concepts of proportional reasoning and algebraic thinking and engineering re-design to address big ideas in science while also promoting the learning of 21st century skills. The materials will be educative for teachers, and the teacher materials and professional development methods will work at scale and distance.

This is a continuing research project that supports (1) creation of what are termed "ink inscriptions"--handwritten sketches, graphs, maps, notes, etc. made on a computer using a pen-based interface, and (2) in-class communication of ink inscriptions via a set of connected wireless tablet computers. The primary products are substantiated research findings on the use of tablet computers and inscriptions in 4th and 5th grade math and science, as well as models for teacher education and use.

This project will develop and systematically investigate a teaching model to assist teachers in developing ideas about proof in grades 2-5. The teaching model provides both a tool for learning on the part of elementary teachers and a model of practice from which they can learn as they implement it.

This project is creating and studying a blended professional development model (face-to-face and online) for mathematics teachers and special educators (grades 4-7) with an emphasis on teaching struggling math students in the areas of fractions, decimals, and positive/negative numbers (Common Core State Standards). The model's innovative design differentiates professional learning to address teachers' wide range of prior knowledge, experiences, and interests.

In response to the increased use of formative assessment practices in California's PK-12 mathematics classrooms, this project will investigate what formative assessments are in use, how practitioners and students are utilizing these assessments, and how they impact performance on summative state assessments. The main outcome of this study will be a set of research-informed and field-tested conclusions, recommendations, guidelines, and tools for the development and use of new or improved PK-12 mathematics formative assessments.

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 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 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 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 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.

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 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.

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.

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 engages high-school students as student-tutors who create screen-capture videos that demonstrate step-by-step solutions to mathematical problems and explicate the use of interactive applets. The project tests whether the mathematical and communication skills of student-tutors improve in the process of making the video materials. It also tests whether teachers and student users benefit from the videos. The project will examine whether the process of creating and disseminating the videos is replicable and scalable.

This project is supporting and investigating the implementation of reformed mathematics instruction at the middle school level in two large school districts. The primary goal of the project is to develop an empirically grounded theory of action for implementing reform at school and district levels. The researchers are investigating reform within a coherent system that focuses on leadership and school-based professional development.

This project is connecting mathematicians and mathematics teachers in middle schools by offering summer workshops and continued communication throughout the year. The workshops focus on mathematical problem solving and include activities that offer multiple entry points. The goal of the workshops is to increase teachers' knowledge of mathematics for teaching and to help teachers use their knowledge to improve student learning of mathematics.

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.

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.