Open problems in mathematical modelling and physical experiments: exploring exponential function

Pisano, Raffaele; Bussotti, Paolo

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.33225/pec/12.50.56

Permalink :

http://hdl.handle.net/20.500.12210/111038

Title :

Open problems in mathematical modelling and physical experiments: exploring exponential function

Author(s) :

Pisano, Raffaele [Auteur correspondant]

Physique - IEMN [PHYSIQUE - IEMN]
Faculté des sciences de Lille
Université de Lille
Bussotti, Paolo [Auteur]
Università degli Studi di Udine - University of Udine [Italie]

Journal title :

Problems of Education in the 21st Century

Pages :

56-69

Publication date :

2012-12-15

ISSN :

1822-7864

HAL domain(s) :

Physique [physics]/Physique [physics]/Histoire de la Physique [physics.hist-ph]
Mathématiques [math]/Mathématiques générales [math.GM]
Mathématiques [math]/Histoire et perspectives sur les mathématiques [math.HO]
Mathématiques [math]/Physique mathématique [math-ph]
Physique [physics]/Physique [physics]/Physique Classique [physics.class-ph]
Physique [physics]/Physique [physics]/Enseignement de la physique [physics.ed-ph]
Physique [physics]/Physique [physics]/Physique Générale [physics.gen-ph]
Sciences de l'Homme et Société/Education
Sciences de l'Homme et Société/Histoire, Philosophie et Sociologie des sciences

English abstract : [en]

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. ...
Show more >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. Key words: interdisciplinary, elementary functions, geometric transformations, epistemological teaching, thermology and calorimetry.Show less >

Language :

Anglais

Popular science :

Non

Collections :