Stan is a free and open-source C++ program that performs Bayesian inference or optimization for arbitrary user-specified models and can be called from the command line, R, Python, Matlab, or Julia and has great promise for fitting large and complex statistical models in many areas of application. We discuss Stan from users' and developers'…

It is very common to find in contemporary literature of Differential Equations, the need to incorporate holistically in teaching and learning the three different approaches: analytical, qualitative, and numerical, for continuous dynamical systems. However, nowadays, in some Bachelor of Science that includes only one course in differential…

The quantitative evaluation of experimental data and their graphical presentation are integral to teaching and research in chemistry and the life sciences. Data are commonly fitted to physical models, which in all but the simplest cases are expressed as nonlinear mathematical functions. To facilitate data evaluation in both teaching and research…

This BASIC computer program designed to help music theory students practice harmonic dictation generates examples for students to use in a drill and practice approach in developing aural skills. To facilitate the implementation of effective generative algorithms, the author has used a non-linear analytical technique similar to the chord symbol…

This is the instructor's guide to a text designed for the contemporary business student who frequently questions the need for studying mathematics. The text material is presented in a "building-block" fashion, with skills learned in earlier chapters organized to provide a smooth transition into more difficult topics. This guide consists…

Growth mixture models (GMMs; B. O. Muthen & Muthen, 2000; B. O. Muthen & Shedden, 1999) are a combination of latent curve models (LCMs) and finite mixture models to examine the existence of latent classes that follow distinct developmental patterns. GMMs are often fit with linear, latent basis, multiphase, or polynomial change models…

A modified technique of separable programming was used to maximize the squared correlation ratio of weighted responses to partially ordered categories. The technique employs a polygonal approximation to each single-variable function by choosing mesh points around the initial approximation supplied by Nishisato's method. Numerical examples were…

Students at all levels benefit from a multi-faceted approach to learning abstract material. The most commonly used technique in teaching the pure theory of international trade is a combination of geometry and algebraic derivations. Numerical simulation can provide a valuable third support to these approaches. The author describes a simple…

An interactive computer-based learning tool with multiple sessions is proposed in this paper, which teaches students to think and helps them recognize the merits and limitations of simulation tools so as to improve their practical abilities in electrical circuit simulation based on the case of a power converter with progressive problems. The…

This article presents lesson plans that use downloadable spreadsheet tools that relate symbolic and graphical representations of functions. Instructions and a template allow readers to create personalized tools without programming. (Contains 14 figures.)

The research presented in this dissertation studies and describes how technical standards, protocols, and application programming interfaces (APIs) shape the aesthetic, functional, and affective nature of our most dominant mode of online communication, the World Wide Web (WWW). I examine the politically charged and contentious battle over browser…

This paper presents a low-cost hands-on experiment for a classical undergraduate controls course for non-electrical engineering majors. The setup consists of a small dc electrical motor attached to one of the ends of a light rod. The motor drives a 2-in propeller and allows the rod to swing. Angular position is measured by a potentiometer attached…

The context for this work is two-agent team decision systems. An "agent" is an intelligent entity that can measure some aspect of its environment, process information and possibly influence the environment through its action. In a collaborative two-agent team decision system, the agents can be coupled by noisy or noiseless interactions…

This study examined the relationship between students working in a technology-rich environment and their development of higher order thinking skills. Based on a PhD thesis, which examined a greater range of relationships than can be reported here, this article focuses on developing critical thinking skills within a technology-rich environment.…

University students (n=15) were asked how a hypermedia program's features reflected 4 theoretical constructs, 2 linear models (semantic networks, frames/scripts), and 2 nonlinear models (concept maps and schemata). Regardless of hypermedia experience, students cited more linear than nonlinear models, suggesting that more experience in programming,…