Learn the value of having students create their own stories and pictures to represent number sentences as classroom assessments.
Kelly K. McCormick and N. Kathryn Essex
Fran Arbaugh, Carolyn Scholten and N. Kathryn Essex
“Spotlight on the Standards” focuses on the grades 6–8 content and process standards found in NCTM's Principles and Standards for School Mathematics (2000). The articles compare NCTM's Curriculum and Evaluation Standards for School Mathematics, published in 1989, with the Principles and Standards relating to the middle grades and suggest ways that teachers might incorporate Standards-based practices into their instruction.
N. Kathryn Essex, Diana V. Lambdin and Rebecca H. McGraw
According to Principles and Standards for School Mathematics, one of the four major ideas permeating the study of patterns and algebra throughout grades pre-K–12 is analyzing “change in various contexts” (NCTM 2000, p. 37). Our focus in this article is on how computer technology can provide simple and motivating contexts for children's investigations of patterns of change and, in the process, help develop foundational ideas of algebra and calculus. We also offer brief explanations for teachers about how various patterns of change relate to such fundamental algebraic notions as linear and nonlinear functions; these same ideas collectively form the basis for an understanding of derivatives and integrals in calculus.