Argues that basic components of discrete mathematics can be introduced to students through gradual elaboration of experiences with iconic spreadsheet-based simulations of concrete materials. Suggests that the study of homogeneous and heterogeneous patterns of manipulative spreadsheet templates allows for appreciation of the development of…

Examines the mathematical sense-making of eighth-grade students as they use physical devices to learn about linear functions. Suggests the concept of transparency as an index of access to knowledge and activities rather than as an inherent feature of objects. Concludes that transparency is a process mediated by unfolding activities and users'…

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, the Addenda Series is expected to consist of…