About this paper

Appears in:
Pages: 3465-3470
Publication year: 2010
ISBN: 978-84-613-9386-2
ISSN: 2340-1117

Conference name: 2nd International Conference on Education and New Learning Technologies
Dates: 5-7 July, 2010
Location: Barcelona, Spain

AN APPROACH TO LEARNING DIFFERENTIAL CALCULUS THROUGH ECONOMICS

A. Beltrán Felip1, R. Beltrán Felip2, V. Beltrán Felip3

1Universitat Jaume I de Castelló (SPAIN)
2IES La Marxadella (SPAIN)
3IES Juan Bautista Porcar (SPAIN)
The learning of Differential Calculus and of the concept and properties of derived functions are a very remarkable topic in the curriculum of Mathematics Applied to Social Sciences in the first year of Baccalaureate, as this point puts forward many applications, for instance, to Economics or Sociology. However, the abstraction of this concept entails many difficulties for students in their learning process and consequently, in spite of being able to make simple calculus with functions, students do not often reach the sense and the exact meaning of these basic notions.
We present an alternative methodological proposal for the study of this topic, which is based on a strategy of interdisciplinary approach between Mathematics and Economics, and whose purpose is to reach a significant learning on this matter. We employ the concepts of derived function as a change proportion among magnitudes and we use this in the approach of a percentage change within the marginal analysis appearing in Economics. We show how some economical concepts such as the elasticity or the marginal costs may allow our students to carry out some processes of conversion between different registries from representation, both economical and mathematical, and how these are interrelated.
@InProceedings{BELTRANFELIP2010ANA,
author = {Beltr{\'{a}}n Felip, A. and Beltr{\'{a}}n Felip, R. and Beltr{\'{a}}n Felip, V.},
title = {AN APPROACH TO LEARNING DIFFERENTIAL CALCULUS THROUGH ECONOMICS},
series = {2nd International Conference on Education and New Learning Technologies},
booktitle = {EDULEARN10 Proceedings},
isbn = {978-84-613-9386-2},
issn = {2340-1117},
publisher = {IATED},
location = {Barcelona, Spain},
month = {5-7 July, 2010},
year = {2010},
pages = {3465-3470}}
TY - CONF
AU - A. Beltrán Felip AU - R. Beltrán Felip AU - V. Beltrán Felip
TI - AN APPROACH TO LEARNING DIFFERENTIAL CALCULUS THROUGH ECONOMICS
SN - 978-84-613-9386-2/2340-1117
PY - 2010
Y1 - 5-7 July, 2010
CI - Barcelona, Spain
JO - 2nd International Conference on Education and New Learning Technologies
JA - EDULEARN10 Proceedings
SP - 3465
EP - 3470
ER -
A. Beltrán Felip, R. Beltrán Felip, V. Beltrán Felip (2010) AN APPROACH TO LEARNING DIFFERENTIAL CALCULUS THROUGH ECONOMICS, EDULEARN10 Proceedings, pp. 3465-3470.
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