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.
Projects
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.
The research and educational activities of this project focus on advancing the field in the area of fraction operation algorithm development. The goal of this research is to identify core mathematical teaching practices that engage and support students in algorithmic thinking associated with fraction operations. The educational product of this work will be written educational materials that can be used to support the general population of teachers in this domain.
SciMath-DLL is an innovative preschool professional development (PD) model that integrates supports for DLLs with high quality science and mathematics instructional offerings. It engages teachers with workshops, classroom-based coaching, and professional learning communities. By creating a suite of tools that can be used under differing educational circumstances to improve professional knowledge, skill, and practice around STEM, the project increases the number of teachers who are prepared to support children as STEM learners and, thus, the number of children who can be supported as STEM learners.
The Math, Engineering, Science Achievement (MESA) outreach programs are partnerships between K-12 schools and higher education that for over forty years introduce science, mathematics and engineering to students traditionally underrepresented in the discipline. This project examines the influences MESA activities (field trips, guest lecturers, design competitions, hands-on activities and student career and academic advisement) have on students' perception of engineering, their self-efficacy and interest in engineering, and their subsequent decisions to pursue careers in engineering.
This project is conducting a comprehensive study of professional development models designed for mathematics teachers in grades K-12. The research team will identify key constructs and frameworks within professional development programs and identify types of professional development models. The goals of the project are to encourage researchers and professional developers to reconceptualize mathematics professional development, develop a shared language, and renew discussions on effective professional development for teachers of mathematics.
Twelve fifth and sixth grade science teacher specialists and their students in a high needs district in Ohio are engaged in a design-based research project within a three-year professional development effort with faculty in several departments at the University of Cincinnati to study how the engineering design process can be used effectively as a pedagogical strategy in science instruction to improve student interest, learning and skill development.
This project conducts interdisciplinary research to advance understanding of embodied learning as it applies to STEM topics across a range of current technology-based learning environments (e.g., desktop simulations, interactive whiteboards, and 3D interactive environments). The project has two central research questions: How are student knowledge gains impacted by the degree of embodied learning and to what extent do the affordances of different technology-based learning environments constrain or support embodied learning for STEM topics?
This project will adapt and study successful discourse strategies used during language arts instruction to help teachers promote mathematically-rich classroom discourse. Of special interest is the use of models to promote mathematics communication that includes English language learners (ELL) in mathematics discourse.The project will result in a full 40-hour professional development module to support mathematics discourse for Grade 2 teachers, with an emphasis on place value, multidigit addition and subtraction, and linear measurement.
This project is designing, developing, and testing an innovative approach to elementary students' learning in the critical areas of multiplicative reasoning, fractions, and proportional reasoning. The project is building on the successful El'Konin-Davydov (E-D) elementary mathematics curriculum that originated in Russia to develop a curriculum framework that can be implemented in U. S. schools. The ultimate product of the research will be a rational number learning progression consisting of carefully articulated and sequenced learning goals.
This project will design, develop, and test a virtual learning community (VLC) to enhance the ability of first- and fourth-grade teachers to provide mathematics education. The goal is to produce a prototype of a VLC for first- and fourth-grade Everyday Mathematics teachers that integrates three primary elements: (a) learning objects rooted in practice, such as lesson video, (b) community-building tools offered by the internet, and (c) focused content that drives teachers' professional learning in mathematics.
This project provides partial support for the First North American GeoGebra Conference, GeoGebra-NA2010, to be held July 27-28, 2010 at Ithaca College. The global mission of this conference is to build a community of mathematicians, mathematics educators, and classroom teachers who can develop the potential of GeoGebra and other similar software for transformation of mathematics instruction and curricula through creative development, practical experimentation, and research.
The University of South Florida is hosting a conference on Research on the Enacted K-12 Mathematics Curriculum. The purpose of the conference is to explicate the theory on mathematics curriculum enactment, defining key constructs and explaining how they are expected to interact, and why, in order to facilitate the systematic accumulation of knowledge about mathematics curriculum enactment that can guide policy and practice.
The aim of this project is to explore the hypothesis that a curricular focus on quantitative reasoning in middle grades mathematics can enhance development of student skill and understanding about mathematical proof. The project is addressing that hypothesis through a series of studies that include small group teaching experiments with students, professional development work with teachers, and classroom field tests of curricular units that connect quantitative reasoning and proof in algebra.
This project is reviewing and analyzing policy documents and studies related to Algebra I learning and teaching, in order to (1) gain a better understanding of algebra education in the United States; and (2) conduct an accounting of research questions that have and have not been taken up by policy documents to date. The results are to be disseminated to both the mathematics education research community and to the education policy community.
This project is examining the relationship between specific technology-based motivational activities and grade 5 to 9 student interest in STEM careers through a variety of classroom-based experiences. The project will test a series of specific hypotheses relating motivation, self-efficacy, STEM career interest, and mathematics learning to activity assignment.
This project convenes two professional mini-conferences and one professional summit to address issues related to the mathematical education of African American students. Research suggests that there is a negative relationship between African American students and mathematics. This relationship is exacerbated by the underrepresentation of African American students in advanced mathematics classes, even when they are the majority of school populations, and the overrepresentation of African American students in lower-track mathematics courses and special education.
This project is a four-year, longitudinal, mixed-methods study of 12 school districts’ implementation of elementary mathematics instructional materials. It investigates the relationships among the district level of coherence of implementation, the school level of support for implementation, the school level of use of materials, and the effects on student outcomes.
This project is convening a series of two professional mini-conferences and one professional summit to address issues related to the mathematical education of African American students, Pre-K-16.
The Conference Board for the Mathematical Sciences (CBMS) is organizing and hosting a National Forum on the Content and Assessment of School Mathematics. The conference is intended to provide an opportunity for policy makers and the broad mathematics education community to provide input into the standards development process. CBMS will produce a white paper on the key issues.
This project is developing and implementing a rigorous eighth grade physical science program that utilizes engineering design, LEGO™ robotics and mechanics, and a problem-based learning approach to teach mechanics, waves, and energy.