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Using Physical Simulations to Motivate the Use of Differential Equations in Models of Disease Spread
Peer reviewed
Direct linkElizabeth G. Arnold; Elizabeth A. Burroughs; Owen Burroughs; Mary Alice Carlson – International Journal of Mathematical Education in Science and Technology, 2024
The SIR model is a differential equations based model of the spread of an infectious disease that compartmentalises individuals in a population into one of three states: those who are susceptible to a disease (S), those who are infected and can transmit the disease to others (I), and those who have recovered from the disease and are now immune…
Descriptors: Calculus, Communicable Diseases, Disease Control, Simulation
Ramírez-Sánchez, Camilo Andrés; Romo-Vázquez, Avenilde; Romo-Vázquez, Rebeca; Velásquez-Rojas, Diana – Educational Studies in Mathematics, 2023
The training of non-specialists, particularly engineers, in mathematics requires designing specific didactic proposals that make the importance of mathematics evident. One approach to creating such proposals consists in analyzing the mathematics used in authentic contexts of engineering research and then effectuating a didactic transposition to…
Descriptors: Undergraduate Students, Mathematics Instruction, Engineering, Teaching Methods
Cipparrone, Flavio A. M.; Consonni, Denise – IEEE Transactions on Education, 2022
Contribution: Two general rules for calculating, in the time domain, step discontinuities of voltages and currents in electric circuits, combining physical principles and basic mathematical treatment. The two general rules, resulting from a formal method of analysis, provide a straightforward way to update the states of a circuit, immediately…
Descriptors: Computation, Electronic Equipment, Time, Simulation
Abernethy, Gavin M. – International Journal of Mathematical Education in Science and Technology, 2021
A discrete model of invasion by subversive alien bodysnatchers is constructed and analysed numerically as a proposed undergraduate project. Several extensions of the model are demonstrated, including a spatial system of ten planets arranged on a one-dimensional lattice, and we discuss some of the practical considerations that arise when…
Descriptors: Undergraduate Students, Space Sciences, Supervision, Student Projects
Magana, Alejandra J.; Fennell, Hayden W.; Vieira, Camilo; Falk, Michael L. – Journal of Engineering Education, 2019
Background: Modeling and simulation practices have become commonplace in modern engineering, but in-depth research on the development of modeling and simulation expertise is needed to identify the learning processes involved in successfully acquiring these skills. Purpose: This study investigated student dimensions of expertise when engaged in…
Descriptors: Undergraduate Students, Engineering Education, Mathematical Models, Computer Simulation
Download full textBusrah, Zulfiqar; Pathuddin, Hikmawati – Journal of Research and Advances in Mathematics Education, 2021
Ethnomathematics can empirically improve the cognitive abilities of students in elementary and secondary schools. However, in undergraduate study, there are still limited studies on integrating ethnomathematics in learning resources. This study aims to apply interpolation in modelling polynomial functions and integral volume on the shape of…
Descriptors: Foreign Countries, Ethnography, Mathematics Education, College Mathematics
Cumber, Peter S. – International Journal of Mathematical Education in Science and Technology, 2017
It is well known that mechanical engineering students often find mechanics a difficult area to grasp. This article describes a system of equations describing the motion of a balanced and an unbalanced roller constrained by a pivot arm. A wide range of dynamics can be simulated with the model. The equations of motion are embedded in a graphical…
Descriptors: Visualization, Mechanics (Physics), Engineering Education, Equations (Mathematics)
Donald, Iain; Meyer, Karen A.; Brengman, John; Gillespie, Stephen H.; Bowness, Ruth – Journal of Computing in Higher Education, 2017
Interdisciplinary and collaborative projects between industry and academia provide exceptional opportunities for learning. Project Sanitarium is a serious game for Windows PC and Tablet which aims to embed learning about tuberculosis (TB) through the player taking on the role of a doctor and solving cases across the globe. The project developed as…
Descriptors: Communicable Diseases, Disease Control, Public Health, Educational Games
David Gammack – Journal of Teaching and Learning with Technology, 2015
In this article we discuss the possible uses of NetLogo as an educational tool for High School and early-years undergraduate students. The paper is geared towards teachers from all disciplines who require students to problem solve, be quantitative and logical but want a project orientated platform to build or reinforce knowledge. The tools and…
Descriptors: Computer Uses in Education, Computer Simulation, Thinking Skills, Science Process Skills
Bartocci, Ezio; Singh, Rupinder; von Stein, Frederick B.; Amedome, Avessie; Caceres, Alan Joseph J.; Castillo, Juan; Closser, Evan; Deards, Gabriel; Goltsev, Andriy; Ines, Roumwelle Sta.; Isbilir, Cem; Marc, Joan K.; Moore, Diquan; Pardi, Dana; Sadhu, Sandeep; Sanchez, Samuel; Sharma, Pooja; Singh, Anoopa; Rogers, Joshua; Wolinetz, Aron; Grosso-Applewhite, Terri; Zhao, Kai; Filipski, Andrew B.; Gilmour, Robert F., Jr.; Grosu, Radu; Glimm, James; Smolka, Scott A.; Cherry, Elizabeth M.; Clarke, Edmund M.; Griffeth, Nancy; Fenton, Flavio H. – Advances in Physiology Education, 2011
As part of a 3-wk intersession workshop funded by a National Science Foundation Expeditions in Computing award, 15 undergraduate students from the City University of New York collaborated on a study aimed at characterizing the voltage dynamics and arrhythmogenic behavior of cardiac cells for a broad range of physiologically relevant conditions…
Descriptors: Undergraduate Students, Mathematical Models, Student Interests, Laboratories
Neilan, Rachael Miller – PRIMUS, 2013
This article describes a computational project designed for undergraduate students as an introduction to mathematical modeling. Students use an ordinary differential equation to describe fish weight and assume the instantaneous growth rate depends on the concentration of dissolved oxygen. Published laboratory experiments suggest that continuous…
Descriptors: Undergraduate Students, Mathematical Models, Calculus, Ichthyology
Torres, Nestor V. – Bioscience Education, 2013
Systems Biology, one of the current approaches to the understanding of living things, aims to understand the behaviour of living systems through the creation of mathematical models that integrate the available knowledge of the system's component parts and the relations among them. Accordingly, model building should play a central part in any…
Descriptors: Systems Approach, Biology, Mathematical Models, College Science
Ramírez-Montoya, María-Soledad, Ed. – IGI Global, 2017
Educational strategies have evolved over the years, due to research breakthroughs and the application of technology. By using the latest learning innovations, curriculum and instructional design can be enhanced and strengthened. The "Handbook of Research on Driving STEM Learning with Educational Technologies" is an authoritative…
Descriptors: Guides, STEM Education, Educational Technology, Foreign Countries
Silva-Ortigoza, R.; Silva-Ortigoza, G.; Hernandez-Guzman, V. M.; Saldana-Gonzalez, G.; Marcelino-Aranda, M.; Marciano-Melchor, M. – European Journal of Physics, 2012
We introduce a dc/dc boost power converter as a didactic prototype intended to support courses on electric circuit analysis experimentally. The corresponding mathematical model is obtained, the converter is designed and an experimental setup is described, constructed and tested. Simplicity of construction as well as low cost of components renders…
Descriptors: Energy, Physics, Electronics, Mathematical Models
Marshall, Neil; Buteau, Chantal – International Journal for Technology in Mathematics Education, 2014
As part of their undergraduate mathematics curriculum, students at Brock University learn to create and use computer-based tools with dynamic, visual interfaces, called Exploratory Objects, developed for the purpose of conducting pure or applied mathematical investigations. A student's Development Process Model of creating and using an Exploratory…
Descriptors: Mathematics Education, Mathematics Curriculum, Undergraduate Students, Investigations
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