The activities in Navigating Calculus were designed to address a number of pedagogical issues related to mathematics, calculus, and computer-aided learning. Education research has shown that students learn 20 percent of what they see, 30 percent of what they hear, 50 percent of what they see and hear, and 80 percent of what they see, hear, and do. Based on the premise that students need to interact with the mathematics, each activity in Navigating Calculus demands student interaction in ways that elucidate the fundamental concept under discussion.
This interactive, self-paced CD-ROM for students is keyed by chapter and section to Calculus, 2/e, by Ostebee and Zorn. The CD-ROM covers both single variable and multivariable material, and contains a variety of useful activities, tools and resources, including a powerful graphing utility, interactive activities, animations, and a glossary with examples.The program's strong emphasis on understanding and intuition places a greater priority onlearning concepts, procedures, and theorems, rather than on finding solutions.Visualization of concepts plays a key role throughout the activities. Derivatives are estimated via the slopes of lines, and integrals via adjustable rectangles.Many of the activities support important theorems and principles in calculus by providing a visual and/or numerical exploration of the key ingredients. Students will have a better appreciation of a theorem's proof when they not only understand its meaning, but also believe it to be true.The built-in graphing utility offers unique tools created specifically to support the learning of calculus. The Freehand tool facilitates and encourages the drawing of curves by hand. Guided Explorations occur at key junctures to strengthen conceptualization and visualization.Students are encouraged in Navigating Calculus to record their results, as the act of writing them down not only provides a permanent record for later study, but also provides a key step in the learning process itself. ...Continua