scholarly journals The Study of Mathematical Modelling Thinking Method in Mathematics Teaching in Colleges and Universities

2021 ◽  
Vol 4 (2) ◽  
pp. 107-131
Author(s):  
Priscila Dias Corrêa ◽  

This study aims to investigate the mathematical proficiency promoted by mathematical modelling tasks that require students to get involved in the processes of developing mathematical models, instead of just using known or given models. The research methodology is grounded on design-based research, and the classroom design framework is supported by complexity science underpinnings. The research intervention consists of high-school students, from a grade 11 mathematics course, aiming to solve four different modelling tasks in four distinct moments. Data was collected during the intervention from students’ written mathematical work and audio and video recordings, and from recall interviews after the intervention. Data analysis was conducted based on a model of mathematical proficiency and assisted by interpretive diagrams created for this research purpose. This research study offers insight into mathematics teaching by portraying how mathematical modelling tasks can be integrated into mathematics classes to promote students’ mathematical proficiency. The study discusses observed expressions and behaviours in students’ development of mathematical proficiency and suggests a relationship between mathematical modelling processes and the promotion of mathematical proficiency. The study also reveals that students develop mathematical proficiency, even when they do not come to full resolutions of modelling tasks, which emphasizes the relevance of learning processes, and not only of the products of these processes.


2019 ◽  
Vol 3 (2) ◽  
pp. 117
Author(s):  
Jiayou Song

<p>The 21st century is an era of the coexistence of opportunities and challenges. Domestic higher education and modern science and technology have obtained unprecedented development, making people more clearly understand the vital role of mathematics, which is both pressure and power for college mathematics teaching. In addition, due attention should be taken on the problems in mathematics teaching. This paper dwells on the problems and opportunities of mathematics education in colleges and universities, hoping to find and solve the root causes of problems in the teaching process from three aspects of teachers, schools and students, so as to improve the quality and efficiency of mathematics teaching.</p>


2019 ◽  
Vol 3 (4) ◽  
pp. 37
Author(s):  
Jianxiang Li

<p>At present, informatiziation has become one of the important direction trends of education in colleges and universities. Under the background of education informatization, carrying out the construction of higher mathematics teaching resources in colleges and universities is of great significance for promoting the development of higher mathematics teaching in colleges and universities and improving the actual teaching quality. At present, there are still many deficiencies and problems in the construction of higher mathematics teaching resources in related application-oriented universities. Based on the current situation of higher mathematics teaching, this paper analyzes the problems existing in the construction of higher mathematics teaching resources and finds the countermeasures for the construction of higher mathematics teaching resources in application-oriented universities.</p>


2020 ◽  
Vol 4 (10) ◽  
Author(s):  
Weiming Cai

With the transformation and development of local undergraduate colleges and universities in China, there are many problems in the training mode and teaching content of Advanced Mathematics professionals, which can no longer meet the demand for talents in the new era. In regard to the Advanced Mathematics Teaching major of application-oriented undergraduate colleges and universities, it should actively change teaching concepts and innovate teaching methods, so as to continuously improve the quality and level of teaching, and cultivate high-quality talents that meet the needs of social development. This article focuses on the cultivation of Advanced Mathematics Teaching professionals in application-oriented undergraduate colleges.


2021 ◽  
Vol 2 (2) ◽  
pp. 129-144
Author(s):  
Naida Bikić ◽  
Dževad Burgić ◽  
Vehid Kurtić

<p style="text-align: justify;">This study aims to acquaint high school students with the process of modelling in mathematics teaching. The research lasted 5 weeks with a group of (N=36) high school students of Zenica-Doboj Canton (Bosnia and Herzegovina). Students had an opportunity to learn about functions and their properties, and subsequently about mathematical modelling with linear, quadratic, and logarithmic functions. Examples in the research were related to real-world phenomena and processes. The problems were composed of the following subtasks: creating or testing a model, explaining the results, finding the domain and range, and critical thinking about the model. The research identifies the importance of mathematical modelling in teaching. The results display a positive impact of such an approach on students, their thinking, attitude towards teaching, understanding of the materials, motivation and examination scores. The experiences that both students and teachers may have in a mathematical modelling framework could be extremely important for the academic success. A control group of 36 students took the final exam as well. The students of the experimental group got much better results than the students of the control group. Indeed, learning through mathematical modelling has been shown to contribute to all the aspects of students' expected development.</p>


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