Open Access. Powered by Scholars. Published by Universities.®
- Discipline
- Publication
Articles 1 - 2 of 2
Full-Text Articles in Entire DC Network
Managing Cognitive Load In The Mathematics Classroom, Mohan Chinnappan, Paul Chandler
Managing Cognitive Load In The Mathematics Classroom, Mohan Chinnappan, Paul Chandler
Paul Chandler
The results of research about cognitive load that is associated with mental processes and the management of such load so that students can be better supported in the construction of connected mathematical information is discussed. Ways in which worked examples can be effective in promoting useful and powerful mathematics schemes are highlighted.
Insight Into The Fractional Calculus Via A Spreadsheet, David A. Miller, Stephen J. Sugden
Insight Into The Fractional Calculus Via A Spreadsheet, David A. Miller, Stephen J. Sugden
Stephen Sugden
Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins by stating a naive question from a student in a paper by Larson (1974) and establishes, for polynomials and exponential functions, that they can be deformed into their derivative using the μ-th order fractional derivatives for 0<μ<1. Through the power of Excel we illustrate the continuous deformations dynamically through conditional formatting. Some applications are discussed and a connection made …