OPEN PROBLEMS IN MATHEMATICAL MODELLING AND PHYSICAL EXPERIMENTS. EXPLORING EXPONENTIAL FUNCTION

TitleOPEN PROBLEMS IN MATHEMATICAL MODELLING AND PHYSICAL EXPERIMENTS. EXPLORING EXPONENTIAL FUNCTION
Publication TypeJournal Article
Year of Publication2012
AuthorsPisano, R, Bussotti, P
JournalProblems of Education in the 21st Century
Start Page56-69
Date PublishedDecember/2012
Type of ArticleOriginal article
ISSN1822-7864
Other NumbersICID: 1025556
Keywordselementary functions, epistemological teaching, geometric transformations
Abstract

Generally speaking the exponential function has large applications and it is used by many non physicians and non mathematicians, too. Nevertheless some crucial and practical problems happen for its mathematical understanding. Mostly, this part of mathematical cognitive programmes introduce it from the mathematical strictly point of view. On the contrary, since both physics experiments make a vast use of it, in this paper the exponential function will be explained starting from physical experiments and only later a mathematical modelling of it will be organized. The relationship physics-mathematics-geometry is crucial and indispensable in this kind of integrated and history&science education. The history and epistemology of mathematics and physics can be a significant means to make the epistemological and didactical research more profound and clear.

URLhttp://journals.indexcopernicus.com/abstracted.php?level=5&icid=1025556
Refereed DesignationRefereed