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…

This paper addresses the demands for change in the teaching and learning of mathematics in the schools of America. Many of the demands stem from the way rapid changes in information technology have altered our economic and social culture. In particular, these technological changes have changed both mathematics and its applications. Given these…

More than 20,000 kindergarten through 12th grade teachers and more than 6,000 college and university faculty are directly involved in National Science Foundation (NSF) education projects. Building on more than 4 decades of knowledge and experience, NSF today is able to provide vigorous leadership in the nation's efforts to strengthen science,…