The Evolution of the Concept of Capacitance Throughout the Development of the Electric Theory and the Understanding of Its Meaning by University Students

There are few didactic studies concerning the difficulties met by students inunderstanding the meaning of capacitance in a charged body. However, theunderstanding of capacitance can be a good indicator of the Students' learningof electrostatic theory in general. To describe Students' difficulties in learningthis concept we have considered, on the one hand, that individuals constructmental representations in order to help their understanding of the way a physicalsystem works under varied circumstances. On the other hand, a critical study ofthe history and epistemology of science is likely to enlighten us teachers andresearchers about the presence of qualitative leaps in the evolution of a concept.Thus, the consideration by teachers of these `discontinuities’ between meaningsfor the same concept, may lead them to understand Students' difficulties on learningit. We developed a historical study of the development of the capacitance conceptand an empirical study with students to identify historical and learning difficulties.The results obtained seem to show that most of the students who reason aboutaspects related to the charge of bodies and capacitance feel more comfortablewhen they talk in terms of charge than in terms of electric potential in a similarway to the first explanations of the early electric theories.

[1]  James Clerk Maxwell,et al.  The electrical researches of the Honourable Henry Cavendish written between 1771 and 1781 , 2010 .

[2]  Bruce A. Sherwood,et al.  Electric and magnetic interactions , 1994 .

[3]  Vassilis Tselfes,et al.  History of Science and Instructional Design: The Case of Electromagnetism , 1998 .

[4]  Edmund Taylor Whittaker.  Reviews of Books and Recordings: A History of the Theories of Aether and Electricity , 1954 .

[5]  William F. McComas,et al.  The nature of science in science education : rationales and strategies , 1998 .

[6]  A. T. Borges.  COMO EVOLUEM OS MODELOS MENTAIS , 1999 .

[7]  Mark D. Somers,et al.  NEW APPROACHES: Students' understanding of the transfer of charge between conductors , 1997 .

[8]  J. Solbes,et al.  La utilización de la historia de las ciencias en la enseñanza de la física y la química , 1996 .

[9]  Bat-Sheva Eylon,et al.  Macro‐micro relationships: the missing link between electrostatics and electrodynamics in students’ reasoning , 1990 .

[10]  E. Saltiel,et al.  Qué aprendemos de las semejanzas entre las ideas históricas y el razonamiento espontáneo de los estudiantes , 1985 .

[11]  J. Wandersee.  The historicality of cognition: Implications for science education research , 1992 .

[12]  Charles Coulston Gillispie,et al.  Dictionary of scientific biography , 1970 .

[13]  Abdelmadjid Benseghir,et al.  The electrostatics‐electrokinetics transition: historical and educational difficulties , 1996 .

[14]  Fabio Bevilacqua,et al.  The history of physics and European physics education , 1996 .

[15]  N. Nersessian.  Should Physicists Preach What They Practice , 1995 .

[16]  Jenaro Guisasola,et al.  Difficulties in learning the concept of electric field , 1998 .

[17]  E. Mortimer,et al.  Conceptual change or Conceptual Profile change? , 1995 .

[18]  S. Rainson,et al.  Students’ understanding of superposition of electric fields , 1994 .

[19]  John L. Heilbron,et al.  The Rise of Experimental Physics. (Book Reviews: Electricity in the 17th and 18th Centuries. A Study of Early Modern Physics) , 1980 .

[20]  M. R. Matthews.  History, Philosophy and Science Teaching: A Rapprochement , 1990 .

[21]  Derek Hodson,et al.  Assessment of practical work , 1992 .

[22]  Enrique Gonzalo Jiménez Gómez,et al.  Didactic Problems in the Concept of Electric Potential Difference and an Analysis of its Philogenesis , 1998 .