Mathematical modelling and modelling activities are important for making sense of mathematical concepts in different extracurricular and daily life contexts. However, teachers may have difficulties in designing these activities in a way to establish meaningful relationships with real life, in accordance with the modeling process and the objectives…

We present an intriguing topic in a mathematical modelling course where Lanchester models are taught to our students. Lanchester models are some of the earliest and most important models used for combat modelling. We describe modelling activities and the use of technology that can be implemented in teaching this topic in this paper.

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…

In this paper, we introduce novel instructional approaches to engage students in using modelling with data to motivate and teach differential equations. Specifically, we introduce a pedagogical framework that will execute instructional modules to teach different solution techniques for differential equations through repositories and notebook…

This article presents an analysis of contradictions expressed by pre-service mathematics teachers when performing two modeling tasks using their own technological devices. The study is based on theoretical aspects of contradictions in the fields of expansive learning and modeling with digital technologies. Technology and modeling tasks were…

Advances in graphing technologies and learning sciences pedagogy have the potential to equitably support students when exploring complex systems depicting dynamic relationships across multiple disciplinary topics in Science, Technology, Engineering, and Mathematics (STEM). We report on the cumulative impact of science units designed in a Research…

In differential equations textbooks, the motion of a simple pendulum for small-amplitude oscillations is analyzed. This is due to the impossibility of expressing, in terms of simple elementary functions, the solutions of the nonlinear differential equation (NLDE) that models the pendulum, which is why the authors usually choose the linearized…

Upper-division undergraduate students are introduced to polymer processing using material extrusion fused filament fabrication 3D printing to make poly(lactic acid) (PLA) mechanical testing specimens. Computer aided design and slicing software packages are used to demonstrate the process of preparing 3D computer models for printing. Following the…

There is growing awareness of the need for mathematics and computing to quantitatively understand the complex dynamics and feedbacks in the life sciences. Although several institutions and research groups are conducting pioneering multidisciplinary research, communication and education across fields remain a bottleneck. The opportunity is ripe for…

The formation of students' social competence in the course of educational process in virtual educational environment represents an urgent pedagogical problem. The author proposes to present the development level of students' social competence through introducing certain variables determined on a relative scale into a mathematical model of the…

We propose an experimental activity in order to develop a mathematical model that relates step length and walking speed of human beings. We employ two well-known physics teaching softwares, namely, Tracker to carry out the video analysis and LibreOffice/Calc to obtain graphs, trend lines and equations. The predictions of our model are compared…

This study adopts a holistic single-case design to explain the task design processes of mathematics student teachers (MSTs) regarding History, Theory, Technology, and Modeling (HTTM). A criterion sampling method was used to select nine MSTs who had successfully completed "algorithms and programming" course. Video analyses, written answer…

In March 2020, near the onset of the COVID-19 related lockdowns, quarantine, and isolation measures being taken worldwide, we noticed an increasing number of graphs, diagrams, images and mathematical models relating to the pandemic posted on our Facebook walls. For the purposes of this paper, we selected a number of these Facebook posts to discuss…

The aim of this study is to investigate the opinions of the secondary and high school mathematics teachers and mathematics teacher candidates who have been educated about HTTM learning process and experienced HTTM activities in the classroom environment about HTTM learning process. The study is a basic qualitative research study conducted with a…

Researchers pointed at modelling activities as affecting positively students' learning including motivation to learn, but little research has studied students' motivation to learn mathematics during their engagement in modelling activities with technology. Three groups of 4-5 students carried out the Roc modelling activity utilizing the internet…