Ferdinand Rivera

The Elementary Mathematical Writing (EMW) Task Force was made up of educators with unique perspectives about elementary mathematical writing and with the goal to reach a consensus about and priorities for the types of and purposes for elementary mathematical writing. The EMW Task Force met in October 2015, analyzed elementary writing prompts and samples, standards documents, and recommendations, and identified four types of mathematical writing and their associated purposes: Exploratory, Informative/Explanatory, Argumentative, and Mathematically Creative.

The purpose of this project is to examine the process by which math language instruction improves learning of mathematics skills in order to design and translate the most effective interventions into practical classroom instruction.

This project will design, develop, and test an online collaborative learning environment where students and teachers solve mathematical problems and communicate their thinking. This online collaborative learning environment will help increase the quality and quantity of math discourse among mathematics teachers and students. The researchers will also examine the impact of the online collaborative learning environment on students' significant mathematical discourse and achievement.

This project will develop a cross-platform mathematics tutoring program that addresses the problem-solving skill difficulties of second- and third-grade students with learning disabilities in mathematics (LDM). COMPS-A is a computer-generated instructional program focusing on additive word problem solving; it will provide tutoring specifically tailored to each individual student's learning profile in real time. 

This design and development project is an expansion of the Ongoing Assessment Project (OGAP), an established model for research-based formative assessment in grades 3-8, to the early elementary grades. The project will translate findings from research on student learning of early number, addition, and subtraction into tools and routines that teachers can use to formatively assess their students' understanding on a regular basis and develop targeted instructional responses.

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.

This project will design and pilot professional development that focuses on developing the confidence, mathematical knowledge, and teaching strategies of paraeducators using classroom activities that they are expected to implement. The planned professional development will enable them to make a greater difference in the classroom, but it will also increase their access to continuing education and workplace opportunities.

This exploratory project builds on twelve years of successful experience with the summer program for secondary mathematics teachers at PCMI. It addresses the following two needs in the field of professional development for secondary mathematics teachers: increase content knowledge and understanding of the Common Core State Standards for Mathematics; and investigate and develop alternative models to conduct content-based professional development that meets the recommendations of the MET-II report.

This project will design and study new learning environments integrating mathematical and computational thinking. The project will examine how to design learning modules that place mathematics concepts. By exploring how different kinds of designs support learning and engagement, the project will establish a set of design principles for supporting mathematical and computational thinking.

To prepare the country's youth more broadly for a globalized world, the U.S. National Commission on Mathematics Instruction (USNCMI) will engage with the international community and assist in improving the state of mathematics education in the country by implementing international education programs, participating in international benchmarking activities, and working closely with other countries and multilateral organizations. 

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.

EDC is developing a high school capstone course in linear algebra. Student resources contain a core semester that develops two- and three-dimensional geometry using vectors and that treats matrix algebra and its applications to geometry; a semester of material that completes a typical undergraduate course (exploring bases, determinants and eigentheory); and 5 stand-alone modules that develop applications of this core to mathematics, engineering, science, and other STEM fields.

Education researchers, practitioners, industry representatives, and policymakers are increasingly committed to making engineering education accessible to all K-12 students and teachers. This project is designed to learn what type of collaborative infrastructure would best support NSF awardees in engaging in the innovative, synergistic research, development, and dissemination activities that will enable engineering to fulfill this important role in K-12 teaching and learning. 

This project will develop games to build conceptual understanding of key early algebra topics. The materials will be freely accessible on the web in both English and Spanish. The project will develop 4-5 games. Each game will include supporting materials for use by students in inquiry-based classroom lessons, and web-based professional development tools for teachers.

This project addresses the fundamental challenge of how to support teachers to improve their practice. The approach uses a "live mathematics classroom" as a common text for working on practice, where participants are not only watching and discussing but are engaged in developing and learning practice. The project will generate new knowledge regarding ways in which elementary teachers of mathematics can be supported to learn effective teaching practice.

The purpose of this 4-year project is to improve student mathematics achievement by developing a mathematics intervention focused on key measurement and data analysis skills. The PM intervention will be designed for first and second grade students who are experiencing mathematics difficulties. To increase student mathematics achievement, the intervention will include: (a) a technology-based component and (b) hands-on activities.

This working conference will help university professors who teach elementary mathematics methods courses learn to use Complex Instruction, a research-proven pedagogy for building mathematical content knowledge and supporting the learning of diverse students.

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 descriptive study will systematically track key instructional indicators in middle school mathematics classrooms, specifically, teachers' mathematical knowledge, the curriculum in place, and the nature of mathematics instruction offered to students. 

This project will modify the teacher preparation program for preK-8 teachers. The program is designed to help pre-service teachers learn mathematics well, learn to access students' cultural funds of knowledge, and learn to encourage students' mathematical thinking. The developers are designing (a) modules that can be used in teacher preparation courses, (b) a mentoring program for new teachers, and (c) on-line networks to facilitate collaboration among participating teachers and institutions.