Teaching Mathematical Modeling with Computing Technology: Presentation of a Course based on Evacuations

Greubel, André; Siller, Hans-Stefan; Ruzika, Stefan; Knippertz, Lynn

doi:10.1145/3556787.3556802

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…Moreover, given the complexity of problems in this domains, digital simulations are frequently used to automate certain steps of the problem-solving process (c.f. [90]).…”

Section: Simulating Building Evacuations As the Problem For Our Studymentioning

confidence: 99%

Assessing Teachers’ Capabilities to Work with Models and Evaluate Results in the Context of a Complex and Authentic STEM Problem

Greubel,

Siller,

Hennecke

2024

Education Sciences

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Since the practice turn, the contemporary education landscape has been shifting from mere knowledge dissemination to empowering students to solve problems. Special emphasis is given to problems on which students work for an extended period (at least several hours; frequently multiple school days). While working on such problems, it is essential to employ a variety of activities. Two of these are working with models and evaluating models and their results. One topic that has received little attention up to now is the question of to what extent educators are able to apply these skills. This study, fundamentally exploratory in nature, seeks to delve into such an assessment by evaluating the competence of n=20 educators in estimating and evaluating building evacuation duration using digital simulations. Our results show that the participants self-assessed as being able to solve such exercises. However, this was contrasted by our external assessment of the solutions provided by the participants, which showed that the solutions lacked in quality.

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“…Moreover, given the complexity of problems in this domains, digital simulations are frequently used to automate certain steps of the problem-solving process (c.f. [90]).…”

Section: Simulating Building Evacuations As the Problem For Our Studymentioning

confidence: 99%

Assessing Teachers’ Capabilities to Work with Models and Evaluate Results in the Context of a Complex and Authentic STEM Problem

Greubel,

Siller,

Hennecke

2024

Education Sciences

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“…According to O'Byrne (2018), this term refers to any complicated system whose inputs and outputs we know but whose inner workings we do not. The black box issue frequently arises when the creator and user are not the same person (Greubel and Siller, 2022). Concerning this challenge, research has shown that the difficulties frequently encountered in solving modelling problems in digital group work appear to be a direct result of the automatic calculation provided by technological tools (Siller et al, 2022).…”

Section: Challenges To the Use Of Digital Technologies In Mathematica...mentioning

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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Technology-supported problem-based learning in mathematics education for pre-service teachers: a systematic literature review

Kirabo,

Batiibwe,

Mbulankende

et al. 2024

SN Soc Sci

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Teaching Mathematical Modeling with Computing Technology: Presentation of a Course based on Evacuations

Cited by 3 publications

References 15 publications

Assessing Teachers’ Capabilities to Work with Models and Evaluate Results in the Context of a Complex and Authentic STEM Problem

Assessing Teachers’ Capabilities to Work with Models and Evaluate Results in the Context of a Complex and Authentic STEM Problem

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

Technology-supported problem-based learning in mathematics education for pre-service teachers: a systematic literature review

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