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Gascón, Josep; Nicolás, Pedro – International Journal of Mathematical Education in Science and Technology, 2022
We consider the following hypothesis: whereas, the institutions in charge of the teaching of mathematics for future professional mathematicians (IPM, in short) share a "didactic paradigm" (strongly based on logical arguments), there does not seem to be such a thing in secondary mathematics education. In this work, we analyse the notion…
Descriptors: Mathematics Education, Secondary School Mathematics, Models, Mathematics Teachers
James S. Wolper – International Journal of Mathematical Education in Science and Technology, 2024
Adjusting the Calculus I curriculum by putting modelling and differential equations literally at its centre leads to a better-organised and better-motivated course. The biggest change is including a section on "qualitative" and "numerical" solutions to ordinary differential equations between the customary sections on…
Descriptors: Mathematics Instruction, Teaching Methods, Advanced Courses, Calculus
Li Zhang – International Journal of Mathematical Education in Science and Technology, 2024
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.
Descriptors: Mathematical Models, Equations (Mathematics), Simulation, Mathematics Instruction
Richard F. Melka; Hashim A. Yousif – International Journal of Mathematical Education in Science and Technology, 2023
In application-oriented mathematics, particularly in the context of nonlinear system analysis, phase plane analysis through SageMath offers a visual display of the qualitative behaviour of solutions to differential equations without inundating students with cumbersome calculations of the plane-phase. A variety of examples is usually given to…
Descriptors: Mathematical Concepts, Mathematical Applications, Problem Solving, Computation
Monteiro, L. H. A. – International Journal of Mathematical Education in Science and Technology, 2023
The process of turning a doctoral student into an independent researcher is usually guided by a professor. In this work, the supervisor-supervisee relationship is represented by a scheme inspired by Michaelis-Menten kinetics, which has been used to determine the rate of enzyme-catalysed reactions. Here, the time evolution of the number of…
Descriptors: Models, Kinetics, Equations (Mathematics), Chemistry
Arribas, E.; Escobar, I.; Ramirez-Vazquez, R. – International Journal of Mathematical Education in Science and Technology, 2021
In the article 'How Long Is My Toilet Roll--A Simple Exercise in Mathematical Modelling' several models of increasing complexity are introduced and solved to calculate indirectly the length of paper on a toilet-roll. All these results are presented without errors. The authors of this comment believe the error analysis of measurements made in a…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Computation
Dayal, Vikram – International Journal of Mathematical Education in Science and Technology, 2023
Epidemiological models have enhanced relevance because of the COVID-19 pandemic. In this note, we emphasize visual tools that can be part of a learning module geared to teaching the SIR epidemiological model, suitable for advanced undergraduates or beginning graduate students in disciplines where the level of prior mathematical knowledge of…
Descriptors: Biology, Visual Aids, Epidemiology, Science Instruction
Abernethy, Gavin M. – International Journal of Mathematical Education in Science and Technology, 2018
A simple discrete-time two-dimensional dynamical system is constructed and analyzed numerically, with modelling motivations drawn from the zombie virus of popular horror fiction, and with suggestions for further exercises or extensions suitable for an introductory undergraduate course.
Descriptors: Mathematical Models, Mathematics, Equations (Mathematics), Mathematical Concepts
Cortez, L. A. B.; de Oliveira, E. Capelas – International Journal of Mathematical Education in Science and Technology, 2017
Considering the important role played by mathematical derivatives in the study of physical-chemical processes, this paper discusses the different possibilities and formulations of this concept and its application. In particular, in Chemical Thermodynamics, we study exact differentials associated with the so-called state functions and inexact…
Descriptors: Thermodynamics, Calculus, Mathematical Concepts, Mathematical Models
Jensen, Jens Højgaard; Niss, Martin; Jankvist, Uffe Thomas – International Journal of Mathematical Education in Science and Technology, 2017
The article addresses the problématique of where mathematization is taught in the educational system, and who teaches it. Mathematization is usually not a part of mathematics programs at the upper secondary level, but we argue that physics teaching has something to offer in this respect, if it focuses on solving so-called unformalized problems,…
Descriptors: Problem Solving, Mathematics, Physics, Foreign Countries
Biza, Irene; Vande Hey, Eugénie – International Journal of Mathematical Education in Science and Technology, 2015
This paper summarizes the evaluation of a project that involved undergraduate mathematics students in the development of teaching and learning resources for statistics modules taught in various departments of a university. This evaluation regards students' participation in the project and its impact on their learning of statistics, as…
Descriptors: Foreign Countries, Undergraduate Students, Statistics, Thinking Skills
Martinez-Luaces, Victor E. – International Journal of Mathematical Education in Science and Technology, 2013
This paper will offer an analysis from a theoretical point of view of mathematical modelling, applications and inverse problems of both causation and specification types. Inverse modelling problems give the opportunity to establish connections between theory and practice and to show this fact, a simple linear algebra example in two different…
Descriptors: Algebra, Undergraduate Study, Mathematical Applications, Mathematical Models
Stewart, Sepideh; Stewart, Wayne – International Journal of Mathematical Education in Science and Technology, 2013
Over the past decade, many researchers have discussed the effectiveness of clickers and their potential to change the way we teach and interact with students. Although most of the literature revolves around elementary usage of clickers, the deeper questions of how to integrate this technology into teaching are largely unanswered. In this paper, we…
Descriptors: Audience Response Systems, Handheld Devices, Educational Technology, Teaching Methods
Engelbrecht, Johann; Harding, Ansie – International Journal of Mathematical Education in Science and Technology, 2015
In keeping with the national mandate of increasing graduates in the sciences in South Africa, a concerted effort in improving the first year experience becomes imperative. First year mathematics courses commonly provide the base knowledge necessary for progression in different degree programmes at university. Success in mathematics courses…
Descriptors: Foreign Countries, Mathematics Instruction, College Mathematics, College Freshmen
Charpin, J. P. F.; O'Hara, S.; Mackey, D. – International Journal of Mathematical Education in Science and Technology, 2013
In Ireland, to encourage the study of STEM (science, technology, engineering and mathematics) subjects and particularly mathematics, the Mathematics Applications Consortium for Science and Industry (MACSI) and Clongowes Wood College (County Kildare, Ireland) organized a mathematical modelling workshop for senior cycle secondary school students.…
Descriptors: Foreign Countries, Mathematical Models, Secondary School Mathematics, Workshops
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