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Science and Mathematics Education Commons™
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Full-Text Articles in Science and Mathematics Education
Teaching Differential Equations Without Computer Graphics Solutions Is A Crime, Beverly H. West
Teaching Differential Equations Without Computer Graphics Solutions Is A Crime, Beverly H. West
CODEE Journal
In the early 1980s computer graphics revolutionized the teaching of ordinary differential equations (ODEs). Yet the movement to teach and learn the qualitative methods that interactive graphics affords seems to have lost momentum. There still exist college courses, even at big universities, being taught without the immense power that computer graphics has brought to differential equations. The vast majority of ODEs that arise in mathematical models are nonlinear, and linearization only approximates solutions sufficiently near an equilibrium. Introductory courses need to include nonlinear DEs. Graphs of phase plane trajectories and time series solutions allow one to see and analyze the …
Harmonic Scale Transformations, John H. Chalmers
Harmonic Scale Transformations, John H. Chalmers
The STEAM Journal
My artwork derives from a project to delineate the transformations certain types of harmonic musical scales undergo as the sizes of their generating intervals vary over the space of the octave.