Browsing by Author "Trelles Zambrano, Cesar Augusto"

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A mathematical modeling activity in elementary school with authentic data about COVID-19
(2022) Trelles Zambrano, Cesar Augusto
The aim of this study is to analyze a mathematical modeling task developed by students in the sixth grade of primary education (11-12 years old) based on a model-eliciting activity with real statistical data about COVID-19, which was implemented online during the period of confinement in Spain. Based on a multiple case study, the final products generated by the students are analyzed. The results show that, although not all students are able to develop a model, those who do are able to use intuitive concepts of statistics and probability that are outside the regular curriculum. It is concluded that these activities develop mathematical skills but require pedagogical knowledge to incorporate them frequently and successfully into teaching practice.
Creando los primeros modelos matemáticos: análisis de un ciclo de modelización a partir de un problema real en educación infantil
(2021) Salgado, María
The modelling process carried out by 19 children aged 56 years in the context of a real problem is analysed to understand how temperature works and how it is measured. To carry out the analysis, the previously validated instrument "Rubric to Evaluate Mathematical Modeling Processes" (REMMOP) is used, which includes seven components related to the modeling cycle (understanding, structuring, mathematization, mathematical work, interpretation, validation and presentation) and the corresponding indicators. The results show that, during this cycle: 1) children develop a first model to determine where the numbers are on the thermometer and how they are interpreted, based on the mathematical knowledge they mobilize; 2) they present important deficits especially in the last phases of the modeling cycle. It is concluded that it is necessary to promote the professional development of teachers to incorporate this type of activity from an early age.
Desarrollando habilidades de modelización matemática temprana en educación infantil: un análisis comparativo en 3 y 5 años
(2021) Trelles Zambrano, Cesar Augusto
Design, construction and validation of a rubric to evaluate mathematical modelling in school education
(2022) Alsina, Ángel
This study describes the design, construction and validation of a rubric for assessing mathematical modelling processes throughout schooling (3–18 years), especially those oriented by modelling cycles. The final version of the “Rubric for Evaluating Mathematical Modelling Processes” (REMMP) consists of seven elements with their respective performance criteria or items, corresponding to the different phases of a modelling cycle. We concluded that REMMP can be used by both researchers and teachers at different educational levels from kindergarten to high school. The rubric is designed to assess group work developed by students; however, it can eventually be used individually.
Estadística en Educación Infantil: recomendaciones previas a la representación de datos.
(2021) Toalongo Guamba, Ximena
ICT management in mathematics education, a case study in Cuenca Ecuador
(IEEE, 2018) Gonzáles Prado, Neli Norma; Trelles Zambrano, Cesar Augusto; Sánchez Peralta, Malhena de Lourdes; Mora Oleas, Janeth Catalina
The purpose of the study is to determine the existence, management and use of information technologies (ICT) within the teaching - learning process for Mathematics in Cuenca ́s institutions of Unified General Baccalaureate, through the perception of students. For this purpose, a study was developed with a quantitative approach that reached the descriptive level. The type of research was prospective, cross-sectional and observational. We worked with a sample composed of 64 teachers of second and third year (59.3% men and 40.6% women) and 381 students (37.3% men and 62.7% women) of second year. The study concludes showing that the majority of teachers use ICT for teaching materials preparation, but only a small percentage do so as often as necessary. Likewise, it was found that search engines and word processors are the most used tools, and to a lesser extent, others more relevant to the learning of mathematics, such as Geogebra software.
Implementation of a didactic situation of linear programming through geogebra software
(Institute of Electrical and Electronics Engineers, 2019) Trelles Zambrano, Cesar Augusto; Toalongo, Ximena; Gonzáles Prado, Neli Norma
The present work exposes the main results of the application of a linear programming activity through the use of Geogebra software developed with future teachers of mathematics, this activity has been designed under the approach of the Theory of the Didactic Situations. The objective of the activity was to determine how the use of Geogebra software can influence the better understanding of mathematical knowledge related to linear programming in future teachers. The results show that the design of an appropriate activity in combination with the use of software offer great advantages both to teachers and students to acquire and consolidate the main mathematical knowledge. © 2019 IEEE.
La presencia de la modelización matemática en tareas de estadística y probabilidad de libros de texto ecuatorianos
(2022) Alsina Pastells, Ángel
At present, mathematical modelling in research in educational environments has acquired a notable presence, which is, why many countries have decided to incorporate it both in their curricular documents and in their teaching practice; Ecuador is no exception and its latest curricular proposal explicitly incorporates it. Textbooks form part of the resources most used by teachers, therefore, the objective of this research is to determine the presence of mathematical modelling in the statistics and probability block through a comparative study of the textbooks delivered by the Ministry of Education in the years 2016-2019 compared to the books currently used and delivered to students from the year 2020. The methodology used responds to a quantitative approach, with a descriptive scope, 497 activities were analysed through a content analysis. The results show the scarce presence of mathematical modelling, although the current textbooks present more contextualised problems, the mathematical modelling activities have completely disappeared; it is concluded that an urgent reformulation of the textbooks is necessary in terms of statistics and probability, in which modelling activities are incorporated to a greater extent. The findings are useful for the Ecuadorian state and textbook authors to make decisions about how to maintain a coherent position between what is stated in the curricular guidelines and what is proposed to students in their teaching and learning process through textbooks.
Report on mathematics teacher preparation in Ecuador
(Springer International Publishing, 2018) Calle Palomeque, Carmen Eulalia
The present volume is the third in the series of reports of the Capacity and Networking Project (CANP) of the International Commission on Mathematical Instruction (ICMI). It is the outcome of the intensive work that was carried out during and following CANP5 that was held in Lima, Peru for two weeks in February 2016. CANP5 brought together mathematics educators in the Andean Region (Ecuador, Peru, Bolivia) and Paraguay. The workshop engaged the many participants in a range of mathematical and mathematics education activities. A key component of the workshop was the four country reports on mathematics teacher education. This volume brings together this significant work and insights developed during the workshop across the delegates from participating countries. It is thus a very important resource for all working in mathematics teacher education internationally.The successes and challenges described in the book, while illuminating of conditions in under-resourced countries globally, are all part of the landscape that must inform our collective work as an organization.