Explorations in Elementary Mathematical Modeling
In this paper we will present the methodology and pedagogy of Elementary Mathematical Modeling as a one-semester course in the liberal arts core. We will focus on the elementary models in finance and business. The main mathematical tools in this course are the difference equations and matrix algebra...
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| Format: | Article |
| Language: | English |
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Babes-Bolyai University, Cluj-Napoca
2010-06-01
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| Series: | Acta Didactica Napocensia |
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| Online Access: | http://adn.teaching.ro/v3n2a9.htm |
| _version_ | 1811221490808389632 |
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| author | Mazen Shahin |
| author_facet | Mazen Shahin |
| author_sort | Mazen Shahin |
| collection | DOAJ |
| description | In this paper we will present the methodology and pedagogy of Elementary Mathematical Modeling as a one-semester course in the liberal arts core. We will focus on the elementary models in finance and business. The main mathematical tools in this course are the difference equations and matrix algebra. We also integrate computer technology and cooperative learning into this inquiry-based learning course where students work in small groups on carefully designed activities and utilize available software to support problem solving and understanding of real life situations. We emphasize the use of graphical and numerical techniques, rather than theoretical techniques, to investigate and analyze the behavior of the solutions of the difference equations.As an illustration of our approach, we will show a nontraditional and efficient way of introducing models from finance and economics. We will also present an interesting model of supply and demand with a lag time, which is called the cobweb theorem in economics. We introduce a sample of a research project on a technique of removing chaotic behavior from a chaotic system. |
| first_indexed | 2024-04-12T08:01:31Z |
| format | Article |
| id | doaj.art-d4e5277aad304cc6a4b528ed62bffd37 |
| institution | Directory Open Access Journal |
| issn | 2065-1430 |
| language | English |
| last_indexed | 2024-04-12T08:01:31Z |
| publishDate | 2010-06-01 |
| publisher | Babes-Bolyai University, Cluj-Napoca |
| record_format | Article |
| series | Acta Didactica Napocensia |
| spelling | doaj.art-d4e5277aad304cc6a4b528ed62bffd372022-12-22T03:41:19ZengBabes-Bolyai University, Cluj-NapocaActa Didactica Napocensia2065-14302010-06-013289100Explorations in Elementary Mathematical ModelingMazen ShahinIn this paper we will present the methodology and pedagogy of Elementary Mathematical Modeling as a one-semester course in the liberal arts core. We will focus on the elementary models in finance and business. The main mathematical tools in this course are the difference equations and matrix algebra. We also integrate computer technology and cooperative learning into this inquiry-based learning course where students work in small groups on carefully designed activities and utilize available software to support problem solving and understanding of real life situations. We emphasize the use of graphical and numerical techniques, rather than theoretical techniques, to investigate and analyze the behavior of the solutions of the difference equations.As an illustration of our approach, we will show a nontraditional and efficient way of introducing models from finance and economics. We will also present an interesting model of supply and demand with a lag time, which is called the cobweb theorem in economics. We introduce a sample of a research project on a technique of removing chaotic behavior from a chaotic system.http://adn.teaching.ro/v3n2a9.htmmathematical modelingdifference equationscooperative learninginquiry-based learningcobweb theorem in economics |
| spellingShingle | Mazen Shahin Explorations in Elementary Mathematical Modeling Acta Didactica Napocensia mathematical modeling difference equations cooperative learning inquiry-based learning cobweb theorem in economics |
| title | Explorations in Elementary Mathematical Modeling |
| title_full | Explorations in Elementary Mathematical Modeling |
| title_fullStr | Explorations in Elementary Mathematical Modeling |
| title_full_unstemmed | Explorations in Elementary Mathematical Modeling |
| title_short | Explorations in Elementary Mathematical Modeling |
| title_sort | explorations in elementary mathematical modeling |
| topic | mathematical modeling difference equations cooperative learning inquiry-based learning cobweb theorem in economics |
| url | http://adn.teaching.ro/v3n2a9.htm |
| work_keys_str_mv | AT mazenshahin explorationsinelementarymathematicalmodeling |