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Direct linkPonce 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
Wanstrom, Linda – Multivariate Behavioral Research, 2009
Second-order latent growth curve models (S. C. Duncan & Duncan, 1996; McArdle, 1988) can be used to study group differences in change in latent constructs. We give exact formulas for the covariance matrix of the parameter estimates and an algebraic expression for the estimation of slope differences. Formulas for calculations of the required sample…
Descriptors: Sample Size, Effect Size, Mathematical Formulas, Computation
Peer reviewedMcGivney, Raymond J., Jr.; Pollino, Benedict – AMATYC Review, 1989
Describes the "Buffon's Needle" problem, which is calculating the probability that a needle will cross one of two separated lines. Calculates the probability when the length of the needle is greater than the space of the two lines. Provides an analytic solution and the results of a computer simulation. (YP)
Descriptors: College Mathematics, Computation, Computer Simulation, Estimation (Mathematics)
