scholarly journals Tracking the referent system to understand students' math modeling processes

Author(s):  
Christopher Webster ◽  
Benjamin M. Zwickl
2021 ◽  
Vol 41 ◽  
pp. 102044
Author(s):  
Zhen Zhu ◽  
Enzo Weber ◽  
Till Strohsal ◽  
Duaa Serhan

2008 ◽  
Vol 95 (2) ◽  
pp. 369-384 ◽  
Author(s):  
Stephanie Madon ◽  
Max Guyll ◽  
Ashley A. Buller ◽  
Kyle C. Scherr ◽  
Jennifer Willard ◽  
...  

Author(s):  
Marianne van Dijke-Droogers ◽  
Paul Drijvers ◽  
Arthur Bakker

AbstractDigital technology is indispensable for doing and learning statistics. When technology is used in mathematics education, the learning of concepts and the development of techniques for using a digital tool are known to intertwine. So far, this intertwinement of techniques and conceptual understanding, known as instrumental genesis, has received little attention in research on technology-supported statistics education. This study focuses on instrumental genesis for statistical modeling, investigating students’ modeling processes in a digital environment called TinkerPlots. In particular, we analyzed how emerging techniques and conceptual understanding intertwined in the instrumentation schemes that 28 students (aged 14–15) develop. We identified six common instrumentation schemes and observed a two-directional intertwining of emerging techniques and conceptual understanding. Techniques for using TinkerPlots helped students to reveal context-independent patterns that fostered a conceptual shift from a model of to a model for. Vice versa, students’ conceptual understanding led to the exploration of more sophisticated digital techniques. We recommend researchers, educators, designers, and teachers involved in statistics education using digital technology to attentively consider this two-directional intertwined relationship.


2018 ◽  
Vol 251 ◽  
pp. 06020 ◽  
Author(s):  
David Passmore ◽  
Chungil Chae ◽  
Yulia Kustikova ◽  
Rose Baker ◽  
Jeong-Ha Yim

A topic model was explored using unsupervised machine learning to summarized free-text narrative reports of 77,215 injuries that occurred in coal mines in the USA between 2000 and 2015. Latent Dirichlet Allocation modeling processes identified six topics from the free-text data. One topic, a theme describing primarily injury incidents resulting in strains and sprains of musculoskeletal systems, revealed differences in topic emphasis by the location of the mine property at which injuries occurred, the degree of injury, and the year of injury occurrence. Text narratives clustered around this topic refer most frequently to surface or other locations rather than underground locations that resulted in disability and that, also, increased secularly over time. The modeling success enjoyed in this exploratory effort suggests that additional topic mining of these injury text narratives is justified, especially using a broad set of covariates to explain variations in topic emphasis and for comparison of surface mining injuries with injuries occurring during site preparation for construction.


Georesursy ◽  
2018 ◽  
Vol 20 (3) ◽  
pp. 142-148 ◽  
Author(s):  
M.M. Khasanov ◽  
◽  
A.N. Sitnikov ◽  
A.A. Pustovskikh ◽  
A.P. Roshchektayev ◽  
...  

2014 ◽  
Vol 1040 ◽  
pp. 478-483
Author(s):  
M. Goreshnev ◽  
E. Litvishko

The article is devoted to the mathematical modeling of vacuum conductive timber drying. Analysis of known mathematical models allowed revealing their advantages and disadvantages. The modeling block diagram based on the drying periods is proposed. Lykov’s equations have been selected to solve heat and mass transfer problems. The comparison of experimental and calculated data has been conducted.


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