MODELS AND MATHEMATICS: HOW PIGOU CAME TO ADOPT THE IS-LM-MODEL REASONING

2014 ◽  
Vol 36 (2) ◽  
pp. 169-186 ◽  
Author(s):  
Norikazu Takami
Keyword(s):  
Simple Model ◽  
Economic Modeling ◽  
Logical Analysis ◽  
John Maynard Keynes ◽  
Liquidity Trap ◽  
Money Wage ◽  
And Mathematics ◽  
Economic Journal ◽  
Wage Cuts

The paper investigates how Arthur Pigou came to adopt the reasoning essentially based on the working of the IS-LM model and to admit that money wage cuts are neutral to employment under the liquidity trap. This occurred through his involvement in the controversy with John Maynard Keynes in 1937–38. In the first instance, Pigou used a simple model to oppose Keynes’s assertion on such neutrality. Pigou (and Keynes too) applied verbal logical analysis to the model to derive his conclusions. Submitting a paper to the Economic Journal, Nicholas Kaldor analyzed Pigou’s model in mathematical terms and asserted that Pigou derived inconsistent conclusions from his model. Kaldor’s method eventually convinced Pigou, Keynes, and Dennis Robertson (who participated in the debate in correspondence). The paper thus argues that the controversy was concluded when one form of model analysis replaced another; specifically, when mathematical analysis replaced verbal logical analysis. This study provides a case study to the first category of Mary Morgan’s two functions of economic modeling: models as an object to inquire into and models as an object with which to inquire.

The Economics of wages and wages policy in the depression and recovery period: distinctive elements in the New Zealand debate, 1931- 1936

1970 ◽  
Vol 15 (1) ◽  
Author(s):  
A. M. Endres
Keyword(s):  
New Zealand ◽  
Real Wage ◽  
Labour Productivity ◽  
Recovery Period ◽  
Prima Facie ◽  
Currency Devaluation ◽  
Money Wage ◽  
Distinctive Features ◽  
Compulsory Arbitration ◽  
Wage Cuts

This article discusses distinctive features of the New Zealand debate on the economics of wages and wages policy from 1931 up to the restoration of compulsory arbitration in 1936. Local economic orthodoxy proffered advice which, consistent with Keynes (1936), turned on the need for a general real wage reduction effected mostly through currency devaluation, rather than through further money wage cuts. Dissenters were critical of currency devaluation; they stressed excessively generous unemployment relief, real wage 'overhang' and structural real wage distorttons. Tentative estimates of both aggregate real product wage and labour productivity changes demonstrate, prima facie, that at least one strand in the dissenting argument was defensible.

scholarly journals Decision Support for the (Inter-)Basin Management of Water Resources Using Integrated Hydro-Economic Modeling

Hydrology ◽  
2021 ◽  
Vol 8 (1) ◽  
pp. 42
Author(s):  
Gerald Norbert Souza da Silva ◽  
Márcia Maria Guedes Alcoforado de Moraes
Keyword(s):  
Decision Support ◽  
Water Resources ◽  
Water Allocation ◽  
Hydrological Modeling ◽  
Well Being ◽  
Water Transfer ◽  
Economic Modeling ◽  
Trade Offs ◽  
Study Results

The development of adequate modeling at the basin level to establish public policies has an important role in managing water resources. Hydro-economic models can measure the economic effects of structural and non-structural measures, land and water management, ecosystem services and development needs. Motivated by the need of improving water allocation using economic criteria, in this study, a Spatial Decision Support System (SDSS) with a hydro-economic optimization model (HEAL system) was developed and used for the identification and analysis of an optimal economic allocation of water resources in a case study: the sub-middle basin of the São Francisco River in Brazil. The developed SDSS (HEAL system) made the economically optimum allocation available to analyze water allocation conflicts and trade-offs. With the aim of providing a tool for integrated economic-hydrological modeling, not only for researchers but also for decision-makers and stakeholders, the HEAL system can support decision-making on the design of regulatory and economic management instruments in practice. The case study results showed, for example, that the marginal benefit function obtained for inter-basin water transfer, can contribute for supporting the design of water pricing and water transfer decisions, during periods of water scarcity, for the well-being in both basins.

scholarly journals Exploring the Feasibility of Comprehensive Uncertainty Assessment in Health Economic Modeling: A Case Study

2021 ◽  
Author(s):  
Svenja Petersohn ◽  
Sabine E. Grimm ◽  
Bram L.T. Ramaekers ◽  
Arina J. ten Cate-Hoek ◽  
Manuela A. Joore
Keyword(s):  
Health Economic ◽  
Uncertainty Assessment ◽  
Economic Modeling

scholarly journals On the invisibility and impact of Robert Hooke’s theory of gravitation

2020 ◽  
Vol 3 (1) ◽  
pp. 266-282
Author(s):  
Niccolò Guicciardini
Keyword(s):  
Natural Philosophy ◽  
Interplanetary Space ◽  
The Sun ◽  
Void Space ◽  
Trading Zone ◽  
History Of ◽  
Theory Of Gravitation ◽  
And Mathematics ◽  
Scientific Framework

AbstractRobert Hooke’s theory of gravitation is a promising case study for probing the fruitfulness of Menachem Fisch’s insistence on the centrality of trading zone mediators for rational change in the history of science and mathematics. In 1679, Hooke proposed an innovative explanation of planetary motions to Newton’s attention. Until the correspondence with Hooke, Newton had embraced planetary models, whereby planets move around the Sun because of the action of an ether filling the interplanetary space. Hooke’s model, instead, consisted in the idea that planets move in the void space under the influence of a gravitational attraction directed toward the sun. There is no doubt that the correspondence with Hooke allowed Newton to conceive a new explanation for planetary motions. This explanation was proposed by Hooke as a hypothesis that needed mathematical development and experimental confirmation. Hooke formulated his new model in a mathematical language which overlapped but not coincided with Newton’s who developed Hooke’s hypothetical model into the theory of universal gravitation as published in the Mathematical Principles of Natural Philosophy (1687). The nature of Hooke’s contributions to mathematized natural philosophy, however, was contested during his own lifetime and gave rise to negative evaluations until the last century. Hooke has been often contrasted to Newton as a practitioner rather than as a “scientist” and unfavorably compared to the eminent Lucasian Professor. Hooke’s correspondence with Newton seems to me an example of the phenomenon, discussed by Fisch in his philosophical works, of the invisibility in official historiography of “trading zone mediators,” namely, of those actors that play a role, crucial but not easily recognized, in promoting rational scientific framework change.

Trends in International Mathematics and Science Study and gendered math teaching in Kuwait

2017 ◽  
Vol 15 (3) ◽  
pp. 327-340 ◽  
Author(s):  
Fatimah Ahmad ◽  
Heather Greenhalgh-Spencer
Keyword(s):  
Education Research ◽  
Math Education ◽  
Math Performance ◽  
Science Study ◽  
Science Technology ◽  
Women And Girls ◽  
Math Teaching ◽  
And Mathematics ◽  
Mathematics And Science

This paper argues for a more complex literature around gender and math performance. In order to argue for this complexity, we present a small portion of data from a case study examining the performance of Kuwaiti students on the Trends in International Mathematics and Science Study and on Kuwait national math tests. Westernized discourses suggest that girls have a harder time in math classes; these discourses frame and are reified by prominent literature and practices within the field of math education research that suggest that women and girls need help in order to reach their potential in math. These Westernized discourses stand in contrast to the discourses in Kuwait that normalize women and girls as outperforming boys in all subjects – including all science, technology, engineering and mathematics subjects. As our study shows, the reality is more complex. And, while the reality is more complex, we yet lack the discourses to understand this complexity.

scholarly journals A simple model to estimate ice ablation under a thick debris layer

2006 ◽  
Vol 52 (179) ◽  
pp. 528-536 ◽  
Author(s):  
Han Haidong ◽  
Ding Yongjing ◽  
Liu Shiyin
Keyword(s):  
Heat Flux ◽  
Simple Model ◽  
Iterative Procedure ◽  
Indirect Comparison ◽  
Tien Shan ◽  
Balance Model ◽  
Complex Phase ◽  
Proposed Model ◽  
Koxkar Glacier

AbstractThis paper presents a simple model to estimate ice ablation under a thick supraglacial debris cover. The key method employed in the model is to establish a link between the debris heat flux and the debris temperature at a certain depth when the heat transfer in the debris is described by a diffusion process. Given surface temperature, debris thermal properties and relevant boundary conditions, the proposed model can estimate mean debris temperature at interfaces of different debris layers using an iterative procedure, and then the heat flux for ice ablation. The advantage of the proposed model is that it only requires a few parameters to conduct the modeling, which is simpler and more applicable than others. The case study on Koxkar glacier, west Tien Shan, China, shows, in general, that the proposed model gives good results for the prediction of debris temperatures, except for an apparent phase shift between modeled and observed values. We suggest that this error is mainly due to complex phase relations between debris temperature and debris heat flux. The modeled ablation rates at three experimental sites also show good results, using a direct comparison with observed data and an indirect comparison with a commonly used energy-balance model.

scholarly journals Students’ Length Measuring Estimation Skills Related to The Daily Life Objects

2021 ◽  
Vol 4 (3) ◽  
Author(s):  
Ömer F. Çetin ◽  
◽  
Himmet Akkuşçi ◽  
Keyword(s):  
Secondary School ◽  
Daily Life ◽  
Research Process ◽  
Structured Interview ◽  
Seventh Graders ◽  
Class Level ◽  
Multiple Case ◽  
And Mathematics ◽  
State Schools

This research aims to explore the secondary school sixth and seventh graders’ length measuring estimation skills developing activities related to the daily life objects. The study is in a qualitative multiple case study model. The universe of the research consisted of the sixth and seventh graders. The sample of the research consisted of 85 students, who were studying at a secondary school in sixth and seventh classes in 2 (two) state schools determined with the purposive sampling method in the 2018-2019 educational year. The maximum variety was ensured for the class level, gender, and mathematics achievement scores; voluntariness for the easily accessible situation. The data were obtained with the scales and semi-structured interview forms prepared during the research process and analyzed descriptively. The research results suggest that the length measuring estimation skills of the secondary school sixth and seventh graders relevant to the daily life objects can be developed with the activities that will develop the students’ prior knowledge and skills.

scholarly journals Inconsistency Among Beliefs, Knowledge, and Teaching Practice in Mathematical Problem Solving: A Case Study of a Primary Teacher

2017 ◽  
Vol 7 (2) ◽  
pp. 27-40
Author(s):  
Tatag Yuli Eko Siswono ◽  
Ahmad Wachidul Kohar ◽  
Ika Kurniasari ◽  
Sugi Hartono
Keyword(s):  
Problem Solving ◽  
Teaching Practice ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Primary Teacher ◽  
Mathematical Problem Solving ◽  
Mathematics Problems ◽  
And Mathematics ◽  
Teacher's Beliefs

This is a case study investigating a primary teacher’s beliefs, knowledge, and teaching practice in mathematical problem solving. Data was collected through interview of one primary teacher regarding his beliefs on the nature of mathematics, mathematics teaching, and mathematics learning as well as knowledge about content and pedagogy of problem solving. His teaching practice was also observed which focused on the way he helped his students solve several different mathematics problems in class based on Polya’s problemsolving process: understand the problem, devising a plan, carrying out the plan, and looking back. Findings of this study point out that while the teacher’s beliefs, which are closely related to his problem solving view, are consistent with his knowledge of problem solving, there is a gap between such beliefs and knowledge around his teaching practice. The gap appeared primarily around the directive teaching which corresponds to instrumental view he held in most of Polya’s process during his teaching practice, which is not consistent with beliefs and knowledge he professed during the interview. Some possible causes related to several associate factors such as immediate classroom situation and teaching practice experience are discussed to explain such inconsistency. The results of this study are encouraging, however, further studies still need to be conducted.

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