Bridging mathematical and microeconomic perspectives: a praxeological analysis of the Lagrange multiplier method.
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| Title: | Bridging mathematical and microeconomic perspectives: a praxeological analysis of the Lagrange multiplier method. |
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| Authors: | Landgärds-Tarvoll, Ida1 (AUTHOR), Göller, Daniel2 (AUTHOR) |
| Source: | Teaching Mathematics & its Applications. Dec2024, Vol. 43 Issue 4, p315-338. 24p. |
| Subject Terms: | *Mathematics teachers, *Economics students, *Textbooks, Microeconomics, Mathematics, Mathematical economics |
| Abstract: | This article investigates the challenges that economics students face when they make the transition from service mathematics course (s) to microeconomics courses with a focus on how the concept of the Lagrange multiplier method is used in constrained utility maximization problems. The study aims to identify and understand discrepancies in the application of the Lagrange multiplier method as introduced in the mathematics course and subsequently applied within the microeconomics course. For this purpose, we conducted a comparative praxeological analysis of textbooks used in the two courses. The analysis reveals significant differences in the techniques and technologies used in both textbooks, which may cause difficulties for students in their transition between the courses. Additionally, the analysis revealed total mismatches in praxeologies within the textbooks. The article concludes with suggestions on topics for service mathematics teachers to address for aligning their instruction with the microeconomics application of the Lagrange multiplier method. [ABSTRACT FROM AUTHOR] |
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| Database: | Education Research Complete |
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| Abstract: | This article investigates the challenges that economics students face when they make the transition from service mathematics course (s) to microeconomics courses with a focus on how the concept of the Lagrange multiplier method is used in constrained utility maximization problems. The study aims to identify and understand discrepancies in the application of the Lagrange multiplier method as introduced in the mathematics course and subsequently applied within the microeconomics course. For this purpose, we conducted a comparative praxeological analysis of textbooks used in the two courses. The analysis reveals significant differences in the techniques and technologies used in both textbooks, which may cause difficulties for students in their transition between the courses. Additionally, the analysis revealed total mismatches in praxeologies within the textbooks. The article concludes with suggestions on topics for service mathematics teachers to address for aligning their instruction with the microeconomics application of the Lagrange multiplier method. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 02683679 |
| DOI: | 10.1093/teamat/hrae020 |
