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Imre Kocsis; Sandor Hajdu; Robert Mikuska; Peter Korondi – IEEE Transactions on Education, 2025
We have introduced a novel approach to competency-based education in mechatronics from the undergraduate to the postgraduate level. What distinguishes this approach is the integration of modeling and control of sampled systems right from the beginning of the undergraduate education. It is achieved by changing the structure of the first-semester…
Descriptors: Competency Based Education, Undergraduate Study, Electromechanical Technology, Calculus
Tugay Kaçak; Abdullah Faruk Kiliç – International Journal of Assessment Tools in Education, 2025
Researchers continue to choose PCA in scale development and adaptation studies because it is the default setting and overestimates measurement quality. When PCA is utilized in investigations, the explained variance and factor loadings can be exaggerated. PCA, in contrast to the models given in the literature, should be investigated in…
Descriptors: Factor Analysis, Monte Carlo Methods, Mathematical Models, Sample Size
Melike Tural-Sonmez; Ayhan Kursat Erbas – International Journal of Mathematical Education in Science and Technology, 2025
This study examined seventh-grade students' emergent and progressive financial literacy in the context of risk and reward while working on two mathematical modelling tasks. The participants were six seventh-grade students identified as 'good at mathematics' by their teachers. The data sources comprised videotaped group discussions, group…
Descriptors: Mathematical Models, Mathematics Instruction, Grade 7, Risk
Yves Nievergelt – International Journal of Mathematical Education in Science and Technology, 2024
On 24 June 1994 at Fairchild Air Force Base, during practice for an air show, a low-flying B-52H aircraft banked its wings vertically and crashed. Emphasizing the activity of modeling drag and gravity, these notes examine the possibility of recovery with several models. First, with algebra, historical data lead to a model where in a free fall near…
Descriptors: Air Transportation, Mathematical Models, Prevention, Calculus
Viktoria Savatorova; Aleksei Talonov – International Journal of Mathematical Education in Science and Technology, 2024
We present an example of one of the modelling projects we assign to students in our differential equations classes. Students are asked to determine how to run a cost-efficient hot water heating system. We consider a cylindrical tank filled with water and heated by a heating element immersed in it. Together with students we discuss physical laws…
Descriptors: Mathematics Instruction, Calculus, Mathematical Models, Heat
Carlos Ledezma – REDIMAT - Journal of Research in Mathematics Education, 2024
Mathematical modelling has acquired relevance in different fields at an international level, both in education and research. This article states that, throughout the construction of the theoretical corpus of this mathematical process and competency -- among others -- two big issues have occurred: one of terminological nature since the definitions…
Descriptors: Semiotics, Mathematical Models, Mathematics Education, Classification
Slimani Hamza; Sawsan Dagher; Noureddine Bessous; Ali Hilal-Alnaqbi; Fabian Ezema – Measurement: Interdisciplinary Research and Perspectives, 2024
The limitation of conventional visual acuity assessment, which primarily focuses on individual eye performance (monocular visual acuity tests). This study addresses this limitation by emphasizing the importance of binocular vision, where both eyes work together. Binocular vision provides numerous advantages, such as improved depth perception, a…
Descriptors: Equations (Mathematics), Visual Acuity, Vision Tests, Visual Impairments
Sevinc, Serife – Educational Studies in Mathematics, 2022
Models-and-modeling perspective (MMP) is a problem-solving and learning perspective in mathematics education. Although modeling processes have been addressed widely in the international discussion on mathematical modeling, a homogeneous understanding has not been established yet. Hence, the field needs studies addressing the epistemological…
Descriptors: Mathematical Models, Problem Solving, Mathematics Education, Epistemology
Dilek Soysal – ProQuest LLC, 2022
The main objective of this study is to develop a mathematical modeling framework for a deeper understanding of dynamics of math anxiety as a contagious process. Borrowing from theories of the spread of infectious disease, we develop two classes of mathematical models representing the spread of math anxiety in math gateway classes. The first…
Descriptors: Mathematical Models, Mathematics Anxiety, College Credits, Calculus
Jonas Bergman Ärlebäck; Lluís Albarracín – Teaching Mathematics and Its Applications, 2024
In this paper, we draw on recent research on so-called Fermi problems and situate the fundamental principles underlying this type of tasks and their use from a task design perspective. We use the models and modelling perspective on teaching and learning to elaborate on aspects related to the design of single-use, as well as sequences of, Fermi…
Descriptors: Problem Solving, Mathematics Education, STEM Education, Mathematical Models
Elahe Allahyari – ProQuest LLC, 2024
This work explores the complex cognitive processes students engage in when addressing contextual tasks requiring linear and exponential models. Grounded within Piagetian constructivism and the Knowledge in Pieces (KiP) epistemological perspective (diSessa, 1993, 2018), this empirical study in a clinical setting develops a Microgenetic Learning…
Descriptors: Learning Analytics, Abstract Reasoning, Mathematical Models, Algebra
Díaz-Chang, Tamara; Arredondo, Elizabeth-H. – International Electronic Journal of Mathematics Education, 2023
In this article we address the historical and epistemological study of infinity as a mathematical concept, focusing on identifying difficulties, counter-intuitive ideas and paradoxes that constituted implicit, unconscious models faced by mathematicians at different times in history, representing obstacles in the rigorous formalization process of…
Descriptors: Epistemology, Mathematical Concepts, Mathematical Models, Ethnography
Maass, Katja; Zehetmeier, Stefan; Weihberger, Anika; Flößer, Katharina – ZDM: Mathematics Education, 2023
In this paper, we discuss the theoretical background of mathematical modelling and its connection to citizenship education. Citizenship education in this context means that young people are equipped with competencies to respond as responsible citizens in situations relevant for society. To outline the connection between mathematical modelling and…
Descriptors: Mathematical Models, Mathematics Instruction, COVID-19, Pandemics
Tetaj, Floridona; Viirman, Olov – International Journal of Research in Undergraduate Mathematics Education, 2023
In this article, an analysis of six fisheries biology assignments involving mathematical models is conducted, focusing on the type of participation that they offer. The purpose of the analysis is to identify the characteristics of the mathematical discourse of the assignments and to expose their relationship with the biological context with the…
Descriptors: Animal Husbandry, Biology, Assignments, Mathematical Models
Lie Group Method for Constructing Integrating Factors of First-Order Ordinary Differential Equations
Feng, Yuqiang; Yu, Jicheng – International Journal of Mathematical Education in Science and Technology, 2023
This paper introduces the basic knowledge of integral factors of first-order ordinary differential equations and Lie symmetry analysis. It then discusses the principle of constructing an integral factor of the first-order ordinary differential equation by the Lie symmetric method. Finally, it presents some examples to show the process of…
Descriptors: Equations (Mathematics), Mathematical Concepts, Problem Solving, Algebra