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Mathematics Commons

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Full-Text Articles in Mathematics

Figures And First Years: An Analysis Of Calculus Students' Use Of Figures In Technical Reports, Nathan J. Antonacci, Michael Rogers, Thomas J. Pfaff, Jason G. Hamilton Jul 2017

Figures And First Years: An Analysis Of Calculus Students' Use Of Figures In Technical Reports, Nathan J. Antonacci, Michael Rogers, Thomas J. Pfaff, Jason G. Hamilton

Numeracy

This three-year study focused on first-year Calculus I students and their abilities to incorporate figures in technical reports. In each year, these calculus students wrote a technical report as part of the Polar Bear Module, an educational unit developed for use in partner courses in biology, computer science, mathematics, and physics as part of the Multidisciplinary Sustainability Education (MSE) project at Ithaca College. In the first year of the project, students received basic technical report guidelines. In year two, the report guidelines changed to include explicit language on how to incorporate figures. In year three, a grading rubric was added …


Using Well-Known Probability Density Functions To Evaluate Certain Integrals In Calculus, Stacy Pitman, Andreas Lazari Jul 2017

Using Well-Known Probability Density Functions To Evaluate Certain Integrals In Calculus, Stacy Pitman, Andreas Lazari

Georgia Journal of Science

A major source of anxiety for engineering and science majors who must take calculus is the topic of integration. The techniques of integration necessary for solving practical problems in the sciences are lengthy and complex. In this paper, we are introducing a method that minimizes the algebra as well as the number of computations for certain types of integrals. It is important to note that we are not suggesting that the conventional methods for teaching techniques of integration be replaced with the innovation we are proposing. Rather, the new approach we suggest is to be presented only after the traditional …