Modeling the phenomenon versus modeling the data set
Journal article
Stillman, Gloria Ann and Brown, Jill. (2021). Modeling the phenomenon versus modeling the data set. Mathematical Thinking and Learning. 25(3), pp. 270-295. https://doi.org/10.1080/10986065.2021.2013144
Authors | Stillman, Gloria Ann and Brown, Jill |
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Abstract | This paper investigates students’ mathematical modeling activity in data-rich modeling tasks. It aims at gaining insight into how students develop meaning when modeling data-rich situations and the mathematical models produced. A tendency to model a particular dataset, rather than the phenomenon that the dataset is a particular instance of, has been observed previously. Students concentrate on fitting mathematical objects such as functions to data, rather than using domain knowledge about the situation being modeled, mapping this to the data so as to capture the phenomenon as a whole. In other instances, students find functions that simply linearly interpolate the data and do not consider key features of the phenomenon, particularly when they have access to technological tools. The extent to which students’ reasoning indicated awareness of their taking either approach was investigated in a qualitative study with Year 10/11 students. How the approach taken affected the processes students engage in whilst modeling was also investigated. The paper contributes to our currently limited literature on research into this issue and how it affects the outcome of students learning to model in classrooms at this level of schooling. |
Keywords | data-rich situations; modeling the dataset; modeling the phenomenon; technology use; modeling purpose of use; modeling processes |
Year | 2021 |
Journal | Mathematical Thinking and Learning |
Journal citation | 25 (3), pp. 270-295 |
Publisher | Routledge |
ISSN | 1532-7833 |
Digital Object Identifier (DOI) | https://doi.org/10.1080/10986065.2021.2013144 |
Scopus EID | 2-s2.0-85122028105 |
Web address (URL) | https://www.tandfonline.com/doi/full/10.1080/10986065.2021.2013144 |
Open access | Open access |
Research or scholarly | Research |
Page range | 270-295 |
Funder | Australian Research Council (ARC) |
Author's accepted manuscript | License File Access Level Open |
Publisher's version | License All rights reserved File Access Level Controlled |
Output status | Published |
Publication dates | |
Online | 28 Dec 2021 |
Publication process dates | |
Accepted | 29 Nov 2021 |
Deposited | 28 Jun 2023 |
Grant ID | DP17010555 |
Additional information | © 2021 Taylor & Francis Group, LLC |
https://acuresearchbank.acu.edu.au/item/8z330/modeling-the-phenomenon-versus-modeling-the-data-set
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Author's accepted manuscript
AM_Stillman_2021_Modelling_the_phenomenon_versus_modelling_the.pdf | |
License: CC BY-NC-ND 4.0 | |
File access level: Open |
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