# SIAM—Colombia MMC: A Challenge-Based Math Modeling Learning Strategy

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## Abstract

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## 1. Introduction

## 2. Theoretical Framework

- Perspective awareness: the recognition or awareness by the individual that he or she has a worldview that is not universally shared, that this worldview has been and continues to be shaped by influences that often escape conscious detection, and that others have worldviews that are profoundly different from one’s own (p. 162);
- State of the planet awareness: awareness of prevailing world conditions and developments, including emerging conditions and trends, e.g., population growth, migration, economic conditions, resources and physical environment, political developments, science and technology, law, health, conflicts between and within nations, etc. (p. 163);
- Cross-cultural awareness: awareness of the diversity of ideas and practices found in human societies around the world, how such ideas and practices compare, and including a limited recognition of how one’s own society’s ideas and forms may be viewed from other points of view (p. 164);
- Knowledge of global dynamics: some modest understanding of the key features and mechanisms of the world system, with emphasis on theories and concepts that can enhance intelligent awareness of global change (p. 165);
- Awareness of human choices: Some awareness of the choice issues facing individuals, nations, and the human species, as awareness and knowledge of the world system increases (p. 165).

## 3. Methods

- What did you learn from the math modeling challenge experience?
- What knowledge or skills learned in your career were you able to implement in this activity to solve the challenge?
- State the benefits of working in an interdisciplinary team to solve the problem.
- State the challenges that working in an interdisciplinary team imposed on you to solve the problem.
- Write the three words that best represent for you the concept of mathematical modeling.

## 4. Results and Discussion

## 5. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

- Turner, P.; Crowley, J.; Humpherys, J.; Levy, R.; Socha, K.; Ron, W. SIAM Modeling across the Curriculum: Report on a SIAM-NSF Workshop; Society for Industrial and Applied Mathematics (SIAM): Philadelphia, PA, USA, 2014. [Google Scholar]
- Fowler, K.R.; Galluzzo, B.J.; Bliss, K.M. Math Modeling: Getting Started and Getting Solutions (First); Society for Industrial and Applied Mathematics (SIAM): Philadelphia, PA, USA, 2014. [Google Scholar]
- Hill-Cunningham, P.R.; Mott, M.S.; Hunt, A.-B. Facilitating an Elementary Engineering Design Process Module. Sch. Sci. Math.
**2018**, 118, 53–60. [Google Scholar] [CrossRef] - Thuneberg, H.; Salmi, H.; Fenyvesi, K. Hands-On Math and Art Exhibition Promoting Science Attitudes and Educational Plans. Educ. Res. Int.
**2017**, 2017, 1–13. [Google Scholar] [CrossRef] - Kueffer, C.; Underwood, E.; Hadorn, G.H.; Holderegger, R.; Lehning, M.; Pohl, C.; Schirmer, M.; Schwarzenbach, R.; Stauffacher, M.; Wuelser, G.; et al. Enabling Effective Problem-oriented Research for Sustainable Development. Ecol. Soc.
**2012**, 17. [Google Scholar] [CrossRef][Green Version] - Brewer, G.D. The challenges of interdisciplinarity. Policy Sci.
**1999**, 32, 327–337. [Google Scholar] [CrossRef] - Larson, K.L.; White, D.D.; Gober, P.; Wutich, A. Decision-Making under Uncertainty for Water Sustainability and Urban Climate Change Adaptation. Sustainability
**2015**, 7, 14761–14784. [Google Scholar] [CrossRef][Green Version] - Ostrom, E. A diagnostic approach for going beyond panaceas. Proc. Natl. Acad. Sci. USA
**2007**, 104, 15181–15187. [Google Scholar] [CrossRef] [PubMed][Green Version] - Ameredes, B.T.; Hellmich, M.R.; Cestone, C.M.; Wooten, K.C.; Ottenbacher, K.J.; Chonmaitree, T.; Anderson, K.; Brasier, A.R. The Multidisciplinary Translational Team (MTT) Model for Training and Development of Translational Research Investigators. Clin. Transl. Sci.
**2015**, 8, 533–541. [Google Scholar] [CrossRef] [PubMed][Green Version] - Cantor, A.; DeLauer, V.; Martin, D.; Rogan, J. Training interdisciplinary “wicked problem” solvers: Applying lessons from HERO in community-based research experiences for undergraduates. J. Geogr. High. Educ.
**2015**, 39, 407–419. [Google Scholar] [CrossRef] - Fuller, D.; Hobin, E.P.; Hystad, P.; Shareck, M. Challenges to interdisciplinary training for junior space, place and health researchers. Crit. Public Heal.
**2012**, 22, 1–7. [Google Scholar] [CrossRef] - Hart, D.D.; Bell, K.P.; Lindenfeld, L.A.; Jain, S.; Johnson, T.R.; Ranco, D.; McGill, B. Strengthening the role of universities in addressing sustainability challenges: The Mitchell Center for Sustainability Solutions as an institutional experiment. Ecol. Soc.
**2015**, 20. [Google Scholar] [CrossRef][Green Version] - Bell, T.; Urhahne, D.; Schanze, S.; Ploetzner, R. Collaborative Inquiry Learning: Models, tools, and challenges. Int. J. Sci. Educ.
**2010**, 32, 349–377. [Google Scholar] [CrossRef][Green Version] - Olson, K.R.; Walsh, M.; Garg, P.; Steel, A.; Mehta, S.; Data, S.; Petersen, R.; Guarino, A.J.; Bailey, E.; Bangsberg, D.R. Health hackathons: Theatre or substance? A survey assessment of outcomes from healthcare-focused hackathons in three countries. BMJ Innov.
**2017**, 3, 37–44. [Google Scholar] [CrossRef] [PubMed][Green Version] - Nandi, A.; Mandernach, M. Hackathons as an Informal Learning Platform. In Proceedings of the 47th ACM Technical Symposium on Computing Science Education, SIGCSE 16, ACM, New York, NY, USA, 2–5 March 2016; pp. 346–351. [Google Scholar]
- Lodato, T.J.; Disalvo, C. Issue-oriented hackathons as material participation. New Media Soc.
**2016**, 18, 539–557. [Google Scholar] [CrossRef] - Boyd, E.M.; Fales, A.W. Reflective Learning. J. Humanist. Psychol.
**1983**, 23, 99–117. [Google Scholar] [CrossRef] - Case, R. Key elements of a global perspective. Soc. Educ.
**1993**, 57, 318–325. [Google Scholar] - Hanvey, R.G. An attainable global perspective. Theory Pract.
**1982**, 21, 162–167. [Google Scholar] [CrossRef] - Hicks, D. Thirty Years of Global Education: A reminder of key principles and precedents. Educ. Rev.
**2003**, 55, 265–275. [Google Scholar] [CrossRef] - Kirkwood, T.F. Our Global Age Requires Global Education: Clarifying Definitional Ambiguities. Soc. Stud.
**2001**, 92, 10–15. [Google Scholar] [CrossRef] - McCann, T.; Polacsek, M. Understanding, choosing and applying grounded theory: Part 1. Nurse Res.
**2018**, 26, 36–41. [Google Scholar] [CrossRef] [PubMed] - Méndez-Romero, R.A. El Concepto de Excelencia Docente: Una Aproximación Multidimensional Inductivo-Deductiva Desde la Teoría Fundamentada, el Mapeo de la Ciencia y el Análisis Cualitativo de Contenido. Ph.D. Thesis, Universidad de Valladolid, Valladolid, Spain, 2019. [Google Scholar]

Frequency | Percentage | |
---|---|---|

Conveying ideas | 13 | 27% |

Engaging ideas | 7 | 14% |

Assertive communication | 6 | 12% |

Teamwork challenge | 6 | 12% |

Complexity | 4 | 8% |

Fair work | 3 | 6% |

Limited time | 3 | 6% |

Effectiveness | 2 | 4% |

Holistic perspective | 2 | 4% |

Leadership | 2 | 4% |

Work under pressure | 1 | 2% |

49 |

Frequency | Percentage | |
---|---|---|

Holistic perspective | 28 | 61% |

Specialization | 5 | 11% |

Methodological tools | 5 | 11% |

Teamwork | 4 | 9% |

Effectiveness | 1 | 2% |

Engaging ideas | 1 | 2% |

Fair work | 1 | 2% |

Limited perspective | 1 | 2% |

46 |

Frequency | Percentage | |
---|---|---|

Problem resolution | 16 | 43% |

Methodological tools | 6 | 16% |

Effectiveness | 5 | 14% |

Engaging ideas | 4 | 11% |

Creativity | 2 | 5% |

Differential equations | 2 | 5% |

Assertive communication | 1 | 3% |

Marketing | 1 | 3% |

37 |

Frequency | Percentage | |
---|---|---|

Mathematical modeling | 21 | 38% |

Programming | 11 | 20% |

Differential equations | 10 | 18% |

Mathematics | 5 | 9% |

Analysis | 2 | 4% |

Creativity | 2 | 4% |

Assertive communication | 1 | 2% |

Effectiveness | 1 | 2% |

Methodological tools | 1 | 2% |

Problem resolution | 1 | 2% |

55 |

Words | Frequency | Words | Frequency |
---|---|---|---|

Abstraction | 8 | Creativity | 2 |

Representation | 8 | Efficiency | 2 |

Prediction | 6 | Explanation | 2 |

Analysis | 5 | Hypothesis | 2 |

Reality | 5 | Interpretation | 2 |

Approach | 4 | Model | 2 |

Equations | 4 | Relations | 2 |

Simulation | 4 | Simplification | 2 |

Solution | 4 | Simulate | 2 |

Innovation | 3 | System | 2 |

Investigation | 3 | Understand | 2 |

Represent | 3 | Understanding | 2 |

Complexity | 2 | Useful | 2 |

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**MDPI and ACS Style**

Méndez-Romero, R.A.; Bueno-Carreño, D.H.; Díez-Fonnegra, C.; Redondo, J.M. SIAM—Colombia MMC: A Challenge-Based Math Modeling Learning Strategy. *Mathematics* **2021**, *9*, 1565.
https://doi.org/10.3390/math9131565

**AMA Style**

Méndez-Romero RA, Bueno-Carreño DH, Díez-Fonnegra C, Redondo JM. SIAM—Colombia MMC: A Challenge-Based Math Modeling Learning Strategy. *Mathematics*. 2021; 9(13):1565.
https://doi.org/10.3390/math9131565

**Chicago/Turabian Style**

Méndez-Romero, Rafael Alberto, Diana H. Bueno-Carreño, Carlos Díez-Fonnegra, and Johan Manuel Redondo. 2021. "SIAM—Colombia MMC: A Challenge-Based Math Modeling Learning Strategy" *Mathematics* 9, no. 13: 1565.
https://doi.org/10.3390/math9131565