This study explored the potential of a rich assessment task to reveal students' multiplicative thinking in respect to a hypothetical learning trajectory. Thirty pairs of students in grades 5 and 6 attempted the task. Twenty-two pairs applied multiplicative structure to find the number of items in arrays. However counting and computational errors…

A teacher that emphasizes reasoning, logic and validity gives their students access to mathematics as an effective way of practicing critical thinking. All students have the ability to enhance and expand their critical thinking when learning mathematics. Students can develop this ability when confronting mathematical problems, identifying possible…

Presents reviews of the four software packages "Blockers and Finders,""Decimal Squares Computer Programs: Decimal Concepts, Addition and Subtraction, Multiplication and Division, and a Data Disk,""Number Stumper," and "Object Logo, Version 1.5." The software packages include problem-solving activities and drill and practice programs. (PK)