Colloquium
Teaching Innovations for Related Rates Problems in First Semester Calculus
Nicole Engelke
Mathematics Education Candidate

Related rates problems in first semester calculus are a source of difficulty for many students. These problems require students to be able to visualize the problem situation, attend to the nature of the changing quantities, reconceptualize the variables in a geometric formula as functions of time, and relate these functions either parametrically or through function composition. Being able to successfully solve a related rates problem by engaging in the problem solving behaviors described above relies on the students' ability to engage in transformational/covariational reasoning. I have developed a sequence of teaching activities which employs a computer program designed to foster the students' exploration of related rates problems in a covariational context. I am investigating the impact of these activities on students' abilities to solve related rates problems.

Thursday, 9 February 2006
4:10 p.m. in Math 109
Spring 2006 Colloquium Schedule        
Mathematical Sciences | The University of Montana