Computational modeling and thinking skill sets were previously relegated to computer scientists and programmers. As a result, computational tools are largely unfamiliar to K-12 science teachers and students. Using Mathematical and Computational Thinking and Developing and Using Models were included in the "Next Generation Science…

The Next Generation Science Standards (NGSS) are composed of three intertwined dimensions--disciplinary core ideas, science and engineering practices, and crosscutting concepts--that provide a foundation for what students should know and be able to do at various grade levels. The eight science practices outlined in the NGSS are critical components…

"Number Talks" is: (1) A five- to fifteen-minute classroom conversation around purposefully crafted computation problems that are solved mentally; and (2) The best part of a teacher's day. Whether you want to implement number talks but are unsure of how to begin or have experience but want more guidance in crafting purposeful problems, this…

Certain properties of lenses provide a physical model of the mathematical concepts of multiplication of integral numbers and of similarity transformations in geometry. Further, they can provide a realistic concrete representation for rules governing multiplication of signed numbers. Suggestions for problems and classroom demonstrations involving…

Applications of this model to problems associated with basic phenomena in radioactivity, heat transfer, neutron chain reactions, RC circuits and vacuum pumping are presented. Example computations for each situation are included. (CW)

Arithmetic programming for students with mild mental disabilities requires a comprehensive perspective that includes attention to curriculum, instruction, and appraisal. Arithmetic computation should not dominate educational programming, but should be included in ways that are functionally relevant and meaningfully presented within a framework of…

A model of the phenomenon of the desert mirage is presented using Snell's Law and simple programing techniques. Optical trajectories predicted by the model are illustrated. (CW)

Describes how interactive programs for scientific modeling may be created by using spreadsheet software such as LOTUS 1-2-3. Lists the advantages of using this method. Discusses fractional distillation, batch partial melting, and combination models as examples. (CW)