Contradictions in mathematical modeling with digital technologies

Molina-Toro, Juan Fernando; Rendón-Mesa, Paula Andrea; Villa-Ochoa, Jhony Alexánder

doi:10.1007/s10639-021-10676-z

Cited by 4 publications

(3 citation statements)

References 29 publications

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“…Based on the data analysis, these risks are interpreted as contradictions that promoted actions in the PMTs. Consistent with the findings of Molina-Toro et al, ( 2022 ), technology, when introduced to the activity system, generates contradictions that are a source of learning. In this study, the perceived risk generated opportunities for the PMTs to become familiar with mathematics teaching under emergency conditions.…”

Section: Discussionsupporting

confidence: 85%

Roles of technologies for future teaching in a pandemic: activity, agency, and humans-with-media

Villa-Ochoa

Molina-Toro

Borba

2022

ZDM Mathematics Education

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Research literature on the role of mathematics teachers during the COVID-19 crisis shows that teacher preparation for emergency situations is required. In reporting on this exploratory study, we present and analyse lesson plans created by seven future teachers for mathematics classes during the pandemic. Data were collected between April and October 2021 from 16 four-hour class sessions in a Mathematics Degree Program at a public university in Medellín, Colombia. The notion of Humans-with-Media and the Learning by Expanding theory were used as frameworks to understand what roles prospective mathematics teacher (PMTs) assign to technologies for teaching in pandemic conditions. The PMTs’ uses of technology for teaching mathematics during a pandemic were categorized. The results show that technology was used to reorganize and reproduce mathematics teaching practices. This report addresses the impact of technology on the activity system, and we conclude with a discussion of opportunities and limitations of students’ conceptions about teaching and technology during a pandemic.

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Section: Discussionsupporting

confidence: 85%

Roles of technologies for future teaching in a pandemic: activity, agency, and humans-with-media

Villa-Ochoa

Molina-Toro

Borba

2022

ZDM Mathematics Education

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“…Our results revealed that technology has played a great role in increasing students' understanding of modelling concepts by providing visualizations and multiple representations (e.g., Brown, 2015;. It also assists individuals in creating new solution pathways for modelling problems (e.g., Galbraith et al, 2003;Geiger, 2017;Molina-Toro et al, 2022). In this way, technology can enhance connections between various types of mathematical knowledge (Geiger, 2011).…”

Section: Advantages Of Using Digital Technologies In Mathematical Mod...mentioning

confidence: 80%

“…Recent developments (e.g., the COVID-19 pandemic and recent technological innovations) may accelerate the integration of digital technologies into modelling education, as well as in other fields of mathematics education (Mulenga and Marbán, 2020;Soto-Acosta, 2020;Borba, 2021). New technologies can play a significant role in learning and teaching mathematical modelling as they can open new horizons to explore different mathematical situations (Drijvers, 2003;Niss et al, 2007) and foster new ways of understanding, evaluating, and interpreting real-world situations (Molina-Toro et al, 2022). Some researchers have argued that it is possible to integrate digital tools (e.g., dynamic geometry software [DGS], computer algebra systems [CASs]) into different stages of the modelling cycle (Siller and Greefrath, 2010;Geiger, 2011;Daher and Shahbari, 2015).…”

Section: Introductionmentioning

confidence: 99%

Advantages and challenges of using digital technologies in mathematical modelling education – a descriptive systematic literature review

Çevikbaş¹,

Greefrath

Siller

2023

Front. Educ.

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Mathematical modelling is essential for teaching and learning of mathematics aimed at improving students’ competence in solving real-world problems with mathematical means. Innovative technology-rich approaches can provide new paradigms for mathematical modelling education, which may produce new opportunities for the learning and teaching of mathematical modelling. On the other hand, there may be a few challenges to the successful use of technology in modelling. Although several studies have focused on the use of digital technologies in modelling education, there is a lack of research on the educational potential of digital technologies in mathematical modelling. To close this research gap, we decided to conduct a descriptive systematic literature review on the advantages and challenges of using digital technologies for learners and instructors in mathematical modelling. The literature on mathematical modelling education was searched via three recognized databases. Literature search revealed 38 papers that were eligible for analysis. Based on empirical evidence, this paper describes the educational opportunities offered by digital technologies (e.g., academic, emotional/psychological, cognitive, social, and instructional/pedagogical enhancements) and challenges to their effectiveness (e.g., learners’ and instructors’ lack of competence or experience in using technology and “black-box” threats). The results of the study reveal that the advantages of the use of digital technologies in the modelling process outweigh the emerging challenges, which is a promising result discussed in detail.

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The Role of Digital Resources in Mathematical Modelling in Extending Mathematical Capability

Siller

Geiger

Greefrath

2023

Handbook of Digital Resources in Mathematics Education

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Contradictions in mathematical modeling with digital technologies

Cited by 4 publications

References 29 publications

Roles of technologies for future teaching in a pandemic: activity, agency, and humans-with-media

Roles of technologies for future teaching in a pandemic: activity, agency, and humans-with-media

Advantages and challenges of using digital technologies in mathematical modelling education – a descriptive systematic literature review

The Role of Digital Resources in Mathematical Modelling in Extending Mathematical Capability

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