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Towards the Design of a Didactic Engineering Relying on Economy as a Semiotic Model of Mathematics

Year 2019, Volume: 13, 160 - 164, 31.08.2019

Abstract

Teaching
mathematics, in a business and management school, led us to investigate the use
of economy as a way to give alternative meaning to mathematical concepts,
whether these concepts were already known to students - mostly from secondary
school - or not. The intent behind this idea was to reverse the traditional
connection between mathematics and economy. We tried to bridge the increasing
gap between what students coming from secondary school are really capable of,
irrespective of their grades, and what is expected from them in a business and
management school. Instead of mathematics seen as a tool for economy, where
mathematical theories are simply “applied” to economy, we developed an
engineering where economy is used as a semiotic model of mathematics.
Therefore, mathematics is not “applied” anymore to economy, it rather becomes
consubstantial to economy, both disciplines acting on each other. This paper
presents the structure of this engineering, the underlying hypothesis and the
didactic motivations behind it.

References

  • Brousseau, G. (2002), Theory of Didactical Situations in Mathematics, Netherlands: Springer. Chevallard, Y. (1992). Concepts fondamentaux de la didactique : perspectives apportées par une approche anthropologique. Recherches en Didactique des Mathématiques, 12(1), 73-112. de Vroey, M. (2002). La mathématisation de la théorie économique : le point de vue de l'histoire des théories économiques. Reflets et perspectives de la vie économique, 4(41), 9-20. Job, P., & Gantois, J.-Y. (2017). High level constraints weighting on the possible shapes knowledge can take on. In M. Shelley M., M. Pehlivan (Ed.), Education Research Highlights in Mathematics in Science and Technology 2017 (pp. 14-20). Ames, IA: ISRES Publishing. Job, P. and Gantois, J.-Y. (2018) Investigating economy as a mean to rejuvenate fossilized mathematical knowledge. The Eurasia Proceedings of Educational & Social Sciences (EPESS), 10, 248-253. Rouy, J. (2007). Formation initiale des professeurs de l’enseignement secondaire supérieur et changements de rationalité mathématique entre l’institution secondaire et l’institution universitaire. Le cas éclairant du thème des dérivées (Doctoral dissertation). Université de Liège, Liège. Schneider, M. (2010), Traité de didactique des mathématiques : la didactique par des exemples et contre-exemples, Liège : Presses Universitaires de Liège.
Year 2019, Volume: 13, 160 - 164, 31.08.2019

Abstract

References

  • Brousseau, G. (2002), Theory of Didactical Situations in Mathematics, Netherlands: Springer. Chevallard, Y. (1992). Concepts fondamentaux de la didactique : perspectives apportées par une approche anthropologique. Recherches en Didactique des Mathématiques, 12(1), 73-112. de Vroey, M. (2002). La mathématisation de la théorie économique : le point de vue de l'histoire des théories économiques. Reflets et perspectives de la vie économique, 4(41), 9-20. Job, P., & Gantois, J.-Y. (2017). High level constraints weighting on the possible shapes knowledge can take on. In M. Shelley M., M. Pehlivan (Ed.), Education Research Highlights in Mathematics in Science and Technology 2017 (pp. 14-20). Ames, IA: ISRES Publishing. Job, P. and Gantois, J.-Y. (2018) Investigating economy as a mean to rejuvenate fossilized mathematical knowledge. The Eurasia Proceedings of Educational & Social Sciences (EPESS), 10, 248-253. Rouy, J. (2007). Formation initiale des professeurs de l’enseignement secondaire supérieur et changements de rationalité mathématique entre l’institution secondaire et l’institution universitaire. Le cas éclairant du thème des dérivées (Doctoral dissertation). Université de Liège, Liège. Schneider, M. (2010), Traité de didactique des mathématiques : la didactique par des exemples et contre-exemples, Liège : Presses Universitaires de Liège.
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Details

Primary Language English
Journal Section Articles
Authors

Pierre Job This is me

Jean-yves Gantoıs This is me

Publication Date August 31, 2019
Published in Issue Year 2019 Volume: 13

Cite

APA Job, P., & Gantoıs, J.-y. (2019). Towards the Design of a Didactic Engineering Relying on Economy as a Semiotic Model of Mathematics. The Eurasia Proceedings of Educational and Social Sciences, 13, 160-164.