Explores mathematical methods children use to find answers for themselves. Describes some methods used for multiplication and subtraction problems. (YP)

The difficulties and misconceptions that many students experience when learning to visualize graphs of functions are discussed. Specifically, the inability to make accurate connections between symbolic and graphical representations, the lack of understanding about scale and scaling, and the confusion caused by transformations are examined with…

Discusses a performance assessment tool that entails open-ended tasks requiring students not only to provide answers but to show their solution processes. Discusses several areas to address in developing open-ended tasks. Areas include the need to assess important mathematical content and cognitive processes, use of effective prompts, and use of…