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- Mathematical Modeling in the Educational Field: a Systematic Literature Review(2019-10-16) Rodríguez Gallegos, Ruth; Acebo Gutiérrez, Claudia Jaqueline; Instituto Tecnológico de MonterreyFor more than forty years, mathematical modeling has assumed great importance in the educational field. The growing interest in modeling is related to students' need to understand and use mathematics in daily life and the ineffectiveness of traditional mathematics teaching to achieve success. This strategy of focusing on real-world problems and bringing them to the world of mathematics so they can be solved has evolved from the increased interest in modeling. Based on several studies, researchers say that the method of teaching mathematics to students promotes and maintains the motivation for their learning and the study of professional careers related to science, technology, engineering, and mathematics. The purpose of this paper is to present the results of a literature review on mathematical modeling in the educational field. Information was obtained about authors with the greatest number of publications on the subject, the most cited articles, the journals with the greatest number of publications, and the types of participants in the studies analyzed. Classifications of the research articles reviewed were done in accordance with the theoretical perspectives of mathematical modeling and with their purpose in mathematics education. A total of 70 articles were analyzed from which it was found that 50% of the studies start with a theoretical educational theoretical perspective; the use of modeling as a vehicle to teach Mathematics was found in 96% of the studies; the other 4% consider modeling as a purpose.
- Theoretical and Methodological Proposal on the Development of Critical Thinking through Mathematical Modeling in the Training of Engineers(2019-10-16) Acebo, Claudia Jaqueline; Rodríguez Gallegos, Ruth; Instituto Tecnológico de MonterreyThe present work constitutes a research advance, which takes up previous work where the teaching of Mathematics in higher education is modified through experimentation in the classroom using the modeling of real phenomena and / or simulation. The idea is to rethink Mathematical modeling as a didactic strategy that aims to develop not only disciplinary but also transversal competencies such as Critical Thinking. A review of ideas around Critical Thinking is shown, and this is intended to show that Mathematical modeling can help develop this competency in the Mathematics classroom. A theoretical proposal of how we conceive Mathematical modeling and methodological proposals is presented along with elements to look at these processes in the classroom. Considering that this study focuses on the study of the articulation of mathematical modeling as a didactic strategy and on critical thinking, based on mathematical modeling activities, the level of critical thinking of engineering students who perform these modeling activities in a Differential Equations course will be evaluated.