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Showing 1 to 15 of 325 results Save | Export
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Omar A. Naranjo; Steven R. Jones – International Journal of Science and Mathematics Education, 2024
Differential equations (DEs) are a powerful tool for modeling real-world contexts. Most research in this area has examined students' understanding and reasoning with pre-packaged DEs, with little attention being given to setting up sophisticated DEs to model complicated real-world situations. This study contributes through a collective case study…
Descriptors: Equations (Mathematics), Mathematical Models, Relevance (Education), Mathematics Skills
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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
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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
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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
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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
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Jaleh Rezaei; Nasim Asghary – International Journal of Mathematical Education in Science and Technology, 2025
Mathematical modelling is an interlinking process between mathematics and real-world problems that can be applied as a means to increase motivation, develop cognitive competencies, and enhance the ability to transfer mathematical knowledge to other areas of science, such as engineering disciplines. This study was designed to investigate the effect…
Descriptors: Calculus, Mathematical Models, Mathematics Instruction, Problem Solving
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Ismael Cabero; Carl Winsløw – International Journal of Mathematical Education in Science and Technology, 2025
The notion of function is central in all of the secondary curriculum, and indeed functional models appear in almost all higher education that is based on mathematics. However, in secondary education, functions usually appear in restricted and somewhat sterile forms. In this (mostly theoretical) paper, we present a proposal -- exemplified by a…
Descriptors: Mathematics Instruction, Mathematical Models, Teaching Methods, Secondary School Mathematics
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Irena Puji Luritawaty; Tatang Herman; Sufyani Prabawanto – Mathematics Teaching Research Journal, 2024
Critical thinking is a key transversal competency of the 21st century, but some students have difficulty, especially during the transition to online learning due to the COVID-19 pandemic. This study aims to identify epistemological obstacles in critical thinking related to proof, generalization, alternative answers, and problem-solving. This…
Descriptors: Critical Thinking, Electronic Learning, Epistemology, Mathematical Models
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Schukajlow, Stanislaw; Krawitz, Janina; Kanefke, Jonas; Blum, Werner; Rakoczy, Katrin – Educational Studies in Mathematics, 2023
Open mathematical modelling problems that can be solved with multiple methods and have multiple possible results are an important part of school curricula in mathematics and science. Solving open modelling problems in school should prepare students to apply their mathematical knowledge in their current and future lives. One characteristic of these…
Descriptors: Mathematical Models, Cognitive Processes, Barriers, Cues
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Sofie Ye; Maja Elmgren; Magnus Jacobsson; Felix M. Ho – Chemistry Education Research and Practice, 2024
Problem solving in chemical kinetics poses substantial challenges for university students since it often involves significant use of mathematics as a tool and language, with challenging translations and transitions between chemical phenomena and mathematical representations. In this paper, we present key findings from a study investigating…
Descriptors: Problem Solving, Chemistry, Kinetics, Mathematics
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Serife Sevinc; Cheryl Lizano – Mathematics Education Research Journal, 2024
This study aimed to explore preservice elementary teachers' use of a bar model as a heuristic for conceptualising relationships between quantities in situations involving ratio and percentages. As a part of a larger project, we focused on two preservice teachers, Maia and Jane, and investigated their solution paths in ratio and percentage problems…
Descriptors: Problem Solving, Mathematics, Preservice Teachers, Teacher Education Programs
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S. B. Rohde Poole – PRIMUS, 2024
This paper is written as a guide for any instructor seeking to develop the mathematical modeling process or open-ended problem solving in their courses. We describe a pedagogical approach to create mini modeling problems to develop the modeling process. These are problems that fall between traditional homework problems and open-ended modeling…
Descriptors: Mathematical Models, Problem Solving, Scaffolding (Teaching Technique), Mathematics Instruction
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Luczak, Richard; Erwin, Rob – Teaching Mathematics and Its Applications, 2023
Math modeling is a unique and powerful part of mathematics that is underutilized in contemporary classrooms. Teachers of all grade levels may utilize such modeling problems to better serve the students in their classrooms, with related analytical problem-solving activities that contribute to learners meeting the highest of learning standards. With…
Descriptors: Mathematical Models, Interdisciplinary Approach, Mathematics Education, Problem Solving
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Andreas Brandsaeter; Runar Lie Berge – Educational Studies in Mathematics, 2025
The reasons for teaching programming in school are indeed manifold. Programming can for example be utilized as a vehicle for understanding and learning particular mathematical subject matter, or as a tool for solving mathematical problems. In this paper, however, we propose to utilize programming as a vehicle for developing mathematical…
Descriptors: Mathematics Skills, Skill Development, Competence, Programming
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Lopes, Aldo Peres Campos e – Teaching Mathematics and Its Applications, 2023
This paper presents results of a study aimed at describing and discussing evidence/features of advanced algebraic thinking processes. To achieve these objectives, we analysed the written production of students enrolled in engineering courses working on mathematical modelling tasks related to differential equations. Our guiding question was as…
Descriptors: Algebra, Mathematics Skills, Cognitive Processes, Equations (Mathematics)
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