The article uses dynamic visualizations in Excel to examine a variety of ways in which students can attain a much greater depth of understanding of optimization problems in introductory calculus. The topics discussed include a variety of common optimization problems that appear in virtually every calculus textbook that can all be enhanced…

The paper argues that mathematical modeling is the essence of computational thinking. Learning a computer language is a valuable assistance in learning logical thinking but of less assistance when learning problem-solving skills. The paper is third in a series and presents some examples of mathematical modeling using spreadsheets at an advanced…

Business educators are struggling with how better to engage their students in the learning process. At the same time, stakeholders are reporting that business students are ill prepared in problem solving techniques and the effective use of spreadsheets. The systemic use of Excel as a teaching tool in the business curriculum may be the answer to…

An analysis of physical geology textbooks used in introductory courses shows that there is a systematic lack of clarity regarding flood risk. Some problems originate from confusion relating to statistical terms such as "100-year flood" and "100-year floodplain." However, the main problem is conceptual: statistics such as return…

A mechanism for using personal computer spreadsheet software to generate unique laboratory and problem assignments in optics for each student and provide corresponding solutions that can be checked quickly is described. The method minimizes some students' tendency to inspect others' solutions without solving problems themselves. Another…

Examines research on computers as cognitive enhancers, focusing on applications software that includes spreadsheets, graphing, and databases. Appropriate computer-based problem-solving environments for young children are reviewed, and implications for teachers are suggested. (Contains eight references.) (LRW)

Technology offers tools and information that students need to explore real-world mathematical connections and investigate questions reflecting their own interests. This article illustrates how students can use technology to gather and interpret information, perform descriptive and graphical analysis, make statistical predictions, and create and…

Computers running appropriate software hold great promise for teaching and learning mathematics. To this end, SRI International developed an integrated, computer-based problem solving environment called "Math Insight" that included interactive tools, such as a spreadsheet and dynamic geometric sketches, and professionally produced videos used to…

Describes the use of three case studies, on computer, to enhance problem solving and critical thinking among doctoral pharmacy students in a physical chemistry course. Students are expected to use specific computer programs, spreadsheets, electronic mail, molecular graphics, word processing, online literature searching, and other computer-based…