The Learning Mathematics through Representations (LMR) project is developing a research-based curriculum unit for the teaching and learning of integers and fractions in the elementary grades. The Project builds on two core ideas: mathematical representations are fundamental to mathematical communication and learning, and curriculum units should be designed as well-orchestrated lesson sequences that support insight and understanding of representational forms. The representations supported by LMR include number lines, area models, and discrete models. Although these representations are common in curriculum for integers and fractions, LMR is developing a more powerful curriculum unit that will allow students to build on their intuitions about these representations as they build new knowledge.

The members of the LMR staff bring expertise in developmental and educational research, curriculum development, pre-service education and professional development, and elementary classroom teaching. The LMR team is led by Geoffrey B. Saxe and includes additional faculty and graduate students in the Graduate School of Education, University of California, Berkeley.