Part One of this article ("Technology and Engineering Teacher," 75(4), December/January, 2016) presented a process that science, math, engineering, and technology teachers could use to collaborate and design integrated STEM courses. A conceptual framework was discussed that could provide a premise that educators interested in delivery of…

In this article teachers will find a rationale and examples for connections between literature and other disciplines, such as history, science, art, political science, philosophy, and psychology. The article addresses the goal of the Connections standard, as defined by the "World-Readiness Standards for Learning Languages" (W-RSFLL)…

Capstone courses in accounting programs bring students experiences integrating across the curriculum (University of Washington, 2005) and offer unique (Sanyal, 2003) and transformative experiences (Sill, Harward, & Cooper, 2009). Students take many accounting courses without preparing complete sets of financial statements. Accountants not only…

Many students or teachers ask themselves: Being given a natural number n, how many non-isomorphic groups of order n exists? The answer, generally, is not yet given. But, for certain values of the number n have answered this question. The present work gives a method to determine of all non-isomorphic groups of order 16 and gives descriptions of all…

"If you build a better mousetrap, the world will beat a path to your door," Ralph Waldo Emerson is often credited with saying. In today's world, that might more likely be "if you build a better cell phone..." or maybe "a better vehicle..." But as an 8th-grade design project, the author challenges his students to build that better mousetrap. In…

We introduce a novel data structure, the Interaction Network, for representing interaction-data from open problem solving environment tutors. We show how using network community detecting techniques are used to identify sub-goals in problems in a logic tutor. We then use those community structures to generate high level hints between sub-goals.…

The inkling was there all along. Back in 2005, in "A Whole New Mind," author Daniel Pink included design--"utility enhanced by significance"--as an essential aptitude for the 21st-century learner. Some attentive independent school educators began looking around. If forward-thinking independent schools are to produce new minds, they maintained,…

Two coordinate systems are related here, one defined by the earth's equator and north pole, the other by the orientation of a telescope at some location on the surface of the earth. Applying an interesting though somewhat obscure property of orthogonal matrices and using the cross-product simplifies this relationship, revealing that a surprisingly…

Many integrals require two successive applications of integration by parts. During the process, another integral of similar type is often invoked. We propose a method which can integrate these two integrals simultaneously. All we need is to solve a linear system of equations.

Human performance technology (HPT) provides an evidence-based approach to improving the performance of individuals, teams, and organizations. As a complex approach that requires many pages to define and years of experience to master, the future of HPT depends on the discipline of future practitioners as well as their willingness to approach…

Many, if not most, of my colleagues believe that human performance technology (HPT) can never become a science; they do not even believe that it should be. I cannot come to that conclusion. If not a full-fledged science, then we should strive for at least a soft science that is more consistent and accepted in business than is certainly the case…

Various stakeholders in mathematics education have called for increasing the role of reasoning and proving in the school mathematics curriculum. There is some evidence that these recommendations have been taken seriously by mathematics educators and textbook developers. However, if we are truly to realize this goal, we must pose problems to…

The everyday use of "proficient" carries connotations of having reached a level of expertise. One would not describe someone stumbling through a rendition of "Chopsticks" as a proficient piano player; but novice pianists work on musical proficiencies--practicing scales or playing a polka--in parallel. They do not put off…

This article presents engaging interactive hypothesis tests which can be conducted with students very efficiently.

In this paper we present an analytic solution of the famous problem of diffraction and interference of electrons through one and two slits (for simplicity, only the one-dimensional case is considered). In addition to exact formulae, various approximations of the electron distribution are shown which facilitate the interpretation of the results.…