Constructive development of the solutions of linear equations in introductory ordinary differential equations
Data(s) |
2009
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Resumo |
The solution of linear ordinary differential equations (ODEs) is commonly taught in first year undergraduate mathematics classrooms, but the understanding of the concept of a solution is not always grasped by students until much later. Recognising what it is to be a solution of a linear ODE and how to postulate such solutions, without resorting to tables of solutions, is an important skill for students to carry with them to advanced studies in mathematics. In this study we describe a teaching and learning strategy that replaces the traditional algorithmic, transmission presentation style for solving ODEs with a constructive, discovery based approach where students employ their existing skills as a framework for constructing the solutions of first and second order linear ODEs. We elaborate on how the strategy was implemented and discuss the resulting impact on a first year undergraduate class. Finally we propose further improvements to the strategy as well as suggesting other topics which could be taught in a similar manner. |
Identificador | |
Publicador |
Taylor & Francis |
Relação |
DOI:10.1080/00207390902759626 Mallet, Daniel G. & McCue, Scott W. (2009) Constructive development of the solutions of linear equations in introductory ordinary differential equations. International Journal of Mathematical Education in Science and Technology, 40(5), pp. 587-595. |
Direitos |
Copyright 2008 Taylor & Francis This is an electronic version of an article published in [International Journal of Mathematical Education in Science and Technology]. [International Journal of Mathematical Education in Science and Technology] is available online at informaworldTM with the open URL http://www.tandf.co.uk/journals/titles/0020739X.asp |
Fonte |
Faculty of Science and Technology; Mathematical Sciences |
Palavras-Chave | #139999 Education not elsewhere classified #010100 PURE MATHEMATICS #139900 OTHER EDUCATION #010000 MATHEMATICAL SCIENCES #010109 Ordinary Differential Equations Difference Equations and Dynamical Systems #undergraduate #differential equations #inquiry #constructive #HERN #oriented |
Tipo |
Journal Article |