In these 13 reports of their research, contributors describe forms of mathematics and science education that students can understand and discuss guidelines for mathematics and science education. The reports begin with description of standards-based reform and the need for "teaching with understanding," then proceed to discussion of developing modeling, argument, and algebraic reasoning in elementary grades, applying everyday knowledge in science teaching, changing teachers' professional work in mathematics, developing teacher collaboration, creating technical knowledge, and interdisciplinary approaches to assessment practices and change management