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Direct linkSokolowski, Andrzej – Australian Senior Mathematics Journal, 2013
This paper presents a study about using scientific simulations to enhance the process of mathematical modelling. The main component of the study is a lesson whose major objective is to have students mathematise a trajectory of a projected object and then apply the model to formulate other trajectories by using the properties of function…
Descriptors: Mathematics, Mathematics Instruction, Mathematical Models, Simulation
Winkel, Brian J. – International Journal of Mathematical Education in Science and Technology, 2012
This article offers modelling opportunities in which the phenomena of the spread of disease, perception of changing mass, growth of technology, and dissemination of information can be described by one differential equation--the logistic differential equation. It presents two simulation activities for students to generate real data, as well as…
Descriptors: Mathematical Models, Calculus, Diseases, Class Activities
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
Bentler, Peter M.; Satorra, Albert – Psychological Methods, 2010
When using existing technology, it can be hard or impossible to determine whether two structural equation models that are being considered may be nested. There is also no routine technology for evaluating whether two very different structural models may be equivalent. A simple nesting and equivalence testing (NET) procedure is proposed that uses…
Descriptors: Structural Equation Models, Testing, Simulation, Sampling
Van Hecke, Tanja – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2011
This article presents the mathematical approach of the optimal strategy to win the "Release the prisoners" game and the integration of this analysis in a math class. Outline lesson plans at three different levels are given, where simulations are suggested as well as theoretical findings about the probability distribution function and its mean…
Descriptors: Employment Patterns, Probability, Mathematics Instruction, Statistics
Morio, Jerome – European Journal of Physics, 2011
Sensitivity analysis is the study of how the different input variations of a mathematical model influence the variability of its output. In this paper, we review the principle of global and local sensitivity analyses of a complex black-box system. A simulated case of application is given at the end of this paper to compare both approaches.…
Descriptors: Mathematical Models, Models, Teaching Methods, Comparative Analysis
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
Edwards, Roderick; Collins, Laura – Language Learning, 2011
Laufer and Nation (1995) proposed that the Lexical Frequency Profile (LFP) can estimate the size of a second-language writer's productive vocabulary. Meara (2005) questioned the sensitivity and the reliability of LFPs for estimating vocabulary sizes, based on the results obtained from probabilistic simulations of LFPs. However, the underlying…
Descriptors: Mathematical Models, Word Frequency, Profiles, Second Language Learning
Steele, Joel S.; Ferrer, Emilio – Multivariate Behavioral Research, 2011
This article presents our response to Oud and Folmer's "Modeling Oscillation, Approximately or Exactly?" (2011), which criticizes aspects of our article, "Latent Differential Equation Modeling of Self-Regulatory and Coregulatory Affective Processes" (2011). In this response, we present a conceptual explanation of the derivative-based estimation…
Descriptors: Calculus, Responses, Simulation, Models
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
Sokolowski, Andrzej; Yalvac, Bugrahan; Loving, Cathleen – International Journal of Mathematical Education in Science and Technology, 2011
"Use of mathematical representations to model and interpret physical phenomena and solve problems is one of the major teaching objectives in high school math curriculum" [National Council of Teachers of Mathematics (NCTM), "Principles and Standards for School Mathematics", NCTM, Reston, VA, 2000]. Commonly used pre-calculus textbooks provide a…
Descriptors: Textbooks, Mathematical Models, Physics, Problem Solving
Download full textPsycharis, Sarantos – Journal of Education and Training Studies, 2013
Contemporary teaching and learning approaches expect students--at any level of education--to be active producers of knowledge. This leads to the need for creation of instructional strategies, learning environments and tasks that can offer students opportunities for active learning. Research argues that one of the most meaningful and engaging forms…
Descriptors: Computation, Active Learning, Experiments, Mathematical Models
Thomson, Ian – Australian Mathematics Teacher, 2010
The spread of swine flu has been a cause of great concern globally. With no vaccine developed as yet, (at time of writing in July 2009) and given the fact that modern-day humans can travel speedily across the world, there are fears that this disease may spread out of control. The worst-case scenario would be one of unfettered exponential growth.…
Descriptors: Mathematical Models, Mathematics Instruction, Communicable Diseases, Relevance (Education)
Tran, Ulrich S.; Formann, Anton K. – Educational and Psychological Measurement, 2009
Parallel analysis has been shown to be suitable for dimensionality assessment in factor analysis of continuous variables. There have also been attempts to demonstrate that it may be used to uncover the factorial structure of binary variables conforming to the unidimensional normal ogive model. This article provides both theoretical and empirical…
Descriptors: Simulation, Factor Analysis, Correlation, Evaluation Methods
Junker, Matthew – Journal of Chemical Education, 2010
A classroom exercise is described to introduce enzyme kinetics in an undergraduate biochemistry or chemistry course. The exercise is a simulation in which a student acts as an enzyme that "catalyzes" the unscrewing of a nut from a bolt. With other students assisting, the student enzyme carries out reactions with bolt-nut substrates under different…
Descriptors: Mathematical Models, Kinetics, Biochemistry, Simulation
