The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) identifies the strategic use of appropriate tools as one of the mathematical practices and emphasizes the use of pictures and diagrams as reasoning tools. Starting with the early elementary grades, CCSSM discusses students' solving of problems "by drawing." In later…

Discussion of how visual analogies aid students' understanding of math and science focuses on new types of representations that use computers. Topics addressed include understanding and cognitive performance; the role of representations in understanding, including examples; evidence of instructional effectiveness of new representations; and…

This article describes a collaboration between a university professor and a sixth-grade teacher who teamed to introduce algebra using a visual approach. The project began with a study of qualitative graphs, moved on to quantitative graphs, then introduced tables of values and finally concentrated on equations. (Contains 12 figures.)

Describes a field sketch mapping project conducted with a sixth-grade class. The project involved selecting appropriate sites around the school to map, organizing the students, and instructing them about measuring distances and drawing maps. Illustrations include assignments and examples of students' work. (MJP)