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McCarthy, Chris; Lan, Jie; Li, Jieying – PRIMUS, 2019
We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…
Descriptors: Equations (Mathematics), Mathematical Models, Problem Solving, Computer Simulation
Ponce Campuzano, J. C.; Roberts, A. P.; Matthews, K. E.; Wegener, M. J.; Kenny, E. P.; McIntyre, T. J. – International Journal of Mathematical Education in Science and Technology, 2019
In this paper we present two simulations designed with GeoGebra that illustrate dynamically a key concept in Vector Calculus: line integrals of vector fields, along with other associated mathematical properties and applications. Students are not required to know the GeoGebra environment: a user-friendly interface with buttons, functionalities and…
Descriptors: Visualization, Computer Simulation, Calculus, Mathematical Concepts
Cheng, Ya-Wen; Wang, Yuping; Cheng, I-Ling; Chen, Nian-Shing – Interactive Learning Environments, 2019
Collaborative learning has long been proved to be a crucial agent for enhancing students' social skills, problem-solving abilities and individual learning performance. Understanding how students move from one phase to another in their collaboration process can inform educators of how best to facilitate such learning. However, this is still an area…
Descriptors: Interaction, Computer Simulation, Mathematics Activities, Computer Games
Students' Informal Inference about the Binomial Distribution of "Bunny Hops": A Dialogic Perspective
Kazak, Sibel; Fujita, Taro; Wegerif, Rupert – Statistics Education Research Journal, 2016
The study explores the development of 11-year-old students' informal inference about random bunny hops through student talk and use of computer simulation tools. Our aim in this paper is to draw on dialogic theory to explain how students make shifts in perspective, from intuition-based reasoning to more powerful, formal ways of using probabilistic…
Descriptors: Inferences, Computer Simulation, Probability, Statistical Distributions
Fukawa-Connelly, Tim; Silverman, Jason – Contemporary Issues in Technology and Teacher Education (CITE Journal), 2015
This paper explores student interactions from the Virtual Math Teams-With-GeoGebra Project, a computer-supported collaborative learning environment that allows individuals to interact, collaborate, and discuss user-created dynamic mathematics objects. Previous studies of virtual math teams have focused on the coconstruction of a joint problem…
Descriptors: Mathematics Skills, Mathematical Logic, Persuasive Discourse, Asynchronous Communication
Doane, David P. – Journal of Statistics Education, 2004
Many students doubt that statistical distributions are of practical value. Simulation makes it possible for students to tackle challenging, understandable projects that illustrate how distributions can be used to answer "what-if" questions of the type often posed by analysts. Course materials that have been developed over two years of classroom…
Descriptors: Statistical Distributions, Relevance (Education), Mathematical Concepts, Mathematics Instruction