In this article we illustrate how one teacher used PhET cannonball simulation as an instructional tool to improve students' algebraic reasoning in a fifth grade classroom. Three instructional phases effective to implementation of simulation included: Free play, Structured inquiry and, Synthesizing ideas.

This paper outlines a proposal to use smartphones and counterfactual reasoning to overcome rote and passive learning. Some historians and history teachers have highlighted the usefulness of counterfactual reasoning for a deeper understanding of the past. In a classroom history simulation, it is proposed here that counterfactuals can be developed…

This article presents a fundamental advance in the theory of mental models as an explanation of reasoning about facts, possibilities, and probabilities. It postulates that the meanings of compound assertions, such as conditionals ("if") and disjunctions ("or"), unlike those in logic, refer to conjunctions of epistemic…

Virtual Environments for Training (VET) are useful tools for visualization, discovery as well as for training. VETs are based on virtual reality technique to put learners in training situations that emulate genuine situations. VETs have proven to be advantageous in putting learners into varied training situations to acquire knowledge and…

Several studies on analogical transfer to algebra word problems have demonstrated that adapting solutions learned from worked examples to nonisomorphic problems of the same type is challenging and that most instructional aids do not alleviate this difficulty. At the same time, various authors have suggested that transfer difficulties sometimes…

Relational thinking plays a central role in human cognition. However, it is not known how children and adults acquire relational concepts and come to represent them in a form that is useful for the purposes of relational thinking (i.e., as structures that can be dynamically bound to arguments). The authors present a theory of how a psychologically…

Electronic game technologies can prepare novice learners for future learning of complex concepts. This paper describes the underlying instructional design, learning science, cognitive science, and game theory. A structural, or syntactic mapping (structure mapping), approach to game design can produce a game world relationally isomorphic to a…

Everyone is familiar with the concept that the cube and octahedron, dodecahedron and icosahedron are dual pairs, with the tetrahedron being self-dual. On the face of it, the concept seems straightforward; however, in all but the most symmetrical cases it is far from clear. By using the computer and three-dimensional graphics programs, it is…

There is an increasing need for business students to be taught the ability to think through ethical dilemmas faced by corporations conducting business on a global scale. This article describes a multiplayer online simulation game, ISLAND TELECOM, that exposes students to ethical dilemmas in international business. Through role playing and…

The transition from industrial arts to technology education is a priority in Colorado. Millions of dollars have been and will be spent to renovate industrial arts facilities and laboratories. Four Colorado middle schools have exemplary technology education programs. The Eagle Crest Technology Education Laboratory is used for both middle and high…