Physics Union Mathematics (PUM) is a set of free physics and physical science curriculum modules based on the Investigative Science Learning Environment (ISLE) approach. The modules help students learn physics by engaging in the practices of science while building and strengthening mathematical reasoning from pre-algebra through algebra and algebra 2.
PUM is a set of free physics and physical science curriculum modules based on the Investigative Science Learning Environment approach, which helps students learn physics through practicing it. The ISLE approach and the PUM modules are fully consistent with the Next Generation Science Standards, as science practices and crosscutting concepts are naturally integrated into the modules.
PUM builds on students’ intrinsic mathematical reasoning to develop and strengthen mathematical concepts at the pre-algebra, algebra, and algebra 2 levels. The modules are logically connected and use the same philosophical approach to the process of physics and the tools students apply to develop, test, and use concepts.
This process, called the ISLE approach, allows students to build conceptual understanding, develop relevant mathematical reasoning, and simultaneously learn how to think like scientists. The approach also supports confidence, a sense of belonging, and positive student identity in physics and science more broadly.
PUM modules contain lesson activities, homework questions, daily quiz questions, and final tests. They use simple equipment that any school is likely to have and can work alongside existing course materials.
These can be used in middle school physical science courses, high school physical science courses, high school conceptual physics courses, and Physics First courses.
These can be used in high school physics courses, including algebra-based and advanced secondary settings.
The modules can be implemented as written or used to supplement any materials that a teacher already uses. The approach, symbolism, and vernacular are aligned with the textbook College Physics: Explore and Apply and the companion Active Learning Guide, which are recommended for stronger implementation.
The PUM project began in 2007 when a group of Rutgers faculty and staff received a two-year National Science Foundation grant to develop four modules. Using that initial funding, the team developed six modules and eventually went on to create a total of twelve.
The project launched through a collaboration among Eugenia Etkina, Alan Van Heuvelen, Eva Thanheiser, Suzanne White Brahmia, and Hector Lopez. The materials were developed at Rutgers University in close collaboration with New Jersey middle school and high school teachers.
In addition to the project leaders, classroom teachers were deeply involved in the development of the materials. Modules were immediately piloted in classrooms and revised based on teacher feedback. This close relationship between curriculum design and classroom implementation is part of what distinguishes PUM.
Although the original funding supported only the initial phase of development, the work continued after the grant period ended. Additional modules were developed, Rutgers students in the physics teacher preparation program contributed solutions to module activities, and the library continued to grow.
More than 3,000 teachers have received access to PUM materials through teacher education programs, professional development workshops, and the website. Although development of the modules concluded in 2017, the materials continue to be offered free of charge to teachers.
PUM is both research-informed and classroom-shaped. It is not simply a set of materials written at a university and handed to teachers. The modules were developed with teachers, tested with students, and revised through use.
Teachers’ contributions to the development of the PUM modules, together with immediate feedback on implementation and ongoing revision, are central to the strength of the curriculum.
Across modules, students use the same overall process to build, test, and apply ideas. This coherence gives teachers a framework that is practical to teach and meaningful for students to experience over time.
The materials are made available free of charge to teachers. PUM is intended as a practical resource for classroom use, professional development, and teacher preparation.
Modules include core instructional materials and use equipment that schools are likely to have, making them realistic to implement across a range of settings.
PUM is connected to a broader community of teachers and teacher educators who use the ISLE approach in classrooms, workshops, and teacher preparation settings.
The modules have been shared through teacher education programs and professional development workshops. They continue to serve as a resource for teachers who want to bring student-centered, evidence-based inquiry into their classrooms.
Supplemental materials help teachers understand how the modules connect to standards and how to use them effectively. The broader PUM and ISLE community also offers a network for conversation, support, and continued learning.
PUM was developed at Rutgers University in close collaboration with New Jersey physics teachers. The project leaders included Eugenia Etkina and Eva Thanheiser from the Rutgers Graduate School of Education, Alan Van Heuvelen and Suzanne White Brahmia from the Rutgers Department of Physics and Astronomy, and Hector Lopez from Rutgers SSI.
This material is based upon work supported by the National Science Foundation under Grant DRL-0733140. Any opinions, findings, conclusions, or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.