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Minchul Kang – International Journal of Mathematical Education in Science and Technology, 2024
Since the introduction by Kermack and McKendrick in 1927, the Susceptible-Infected-Recovered (SIR) epidemic model has been a foundational model to comprehend and predict the dynamics of infectious diseases. Almost for a century, the SIR model has been modified and extended to meet the needs of different characteristics of various infectious…
Descriptors: Calculus, Communicable Diseases, Prediction, Mathematics Activities
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
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
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
Christian Farkash; Michael Storm; Thomas Palmeri; Chunhui Yu – Mathematics Teaching Research Journal, 2024
Several studies indicate that exploring mathematical ideas by using more than one approach to prove the same statement is an important matter in mathematics education. In this work, we have collected a few different methods of proving the multinomial theorem. The goal is to help further the understanding of this theorem for those who may not be…
Descriptors: Undergraduate Students, College Mathematics, Mathematics Skills, Mathematical Models
Geena Taite; Helene Leonard; Amanda Provost; Nicole Panorkou – Mathematics Teacher: Learning and Teaching PK-12, 2024
It has been over thirty years since the nuclear reactor meltdown at the Chernobyl nuclear power plant, but why there is still an officially designated exclusion zone? The Chernobyl Disaster Task combines the learning of exponential functions with properties of radioactive substances to help students understand the ongoing effects of the meltdown.…
Descriptors: Radiation, Nuclear Energy, Mathematical Models, Mathematical Logic
Jones, Steven R.; Ely, Robert – International Journal of Research in Undergraduate Mathematics Education, 2023
Calculus education research on integration is coalescing around the theme that teaching integration based on quantitative reasoning is crucial for robust understanding of and usage of integrals. This paper contributes to this International Journal for Research in Undergraduate Education special issue on the teaching and learning of definite…
Descriptors: Calculus, Educational Research, Mathematical Concepts, Mathematics Skills
Hande Aytemiz; Zeynep Çakmak Gürel – Journal of Educational Research, 2023
Empirical studies demonstrate that students have some difficulties with the mathematical modeling process. Studies contain various applications for developing students' modeling competencies. This study investigated video-based modeling tasks' impact on modeling competencies with a descriptive design. In this context, it aims to compare…
Descriptors: Mathematical Models, Mathematics Instruction, Video Technology, Grade 8
Aldo Peres Campos e Lopes – European Journal of Engineering Education, 2023
An educational praxis that is concerned with citizen formation ought to aim at the development of critical consciousness and critical thinking, but little research has addressed the dynamics of critical consciousness in mathematical modeling activities. This study aims to characterise and understand the manifestation of critical thinking and…
Descriptors: Consciousness Raising, Critical Thinking, Engineering Education, Mathematical Models
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
W. Tidwell; C. O. Anhalt; R. Cortez; B. R. Kohler – International Journal of Mathematical Education in Science and Technology, 2023
This study examines prospective elementary teachers' growth and development of competencies, conceptions, and perceptions of mathematical modelling in a mathematics content course for elementary teachers. A series of lessons were implemented that engaged students in the modelling process through modelling tasks. The goal was to capture prospective…
Descriptors: Preservice Teachers, Mathematical Models, Mathematics Curriculum, Elementary Education
Czocher, Jennifer A.; Hardison, Hamilton L.; Kularajan, Sindura S. – Educational Studies in Mathematics, 2022
Mathematical modelling is endorsed as both a means and an end to learning mathematics. Despite its utility and inclusion as a curricular objective, one of many questions remaining about learners' modelling regards how modelers choose relevant situational attributes and express mathematical relationships in terms of them. Research on quantitative…
Descriptors: Mathematical Models, Mathematics Skills, Cognitive Processes, Thinking Skills
Naz Fulya Çibik; Burçak Boz-Yaman – International Journal of Science and Mathematics Education, 2025
Considering the interdisciplinary nature of the sustainable development concept, this study aims to investigate the effect of a cross-curricular mathematical modeling course on pre-service teachers' sustainable development attitudes and mathematical modeling self-efficacies and to investigate their opinions about the course. The sample for this…
Descriptors: Preservice Teachers, Preservice Teacher Education, Interdisciplinary Approach, Sustainable Development
Konstantinos Gavriil; Ioannis Giannikos – Education Policy Analysis Archives, 2025
This paper presents a model for automatically selecting and allocating secondary education teachers to schools while considering various factors such as the diversity of sections and lessons, school distances, teacher specializations, teaching workloads, and other constraints. This poses a complex challenge that educational authorities in…
Descriptors: Foreign Countries, Secondary School Teachers, Teacher Placement, Teacher Distribution
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