Structural aspects that relate the trivial machine, nontrivial machine, and the actor system are discussed. The term rationalism is discussed in terms of discourses that include or exclude those who participate in the debate. Subsequently, the author elaborates on the notion of reality and the meaning of the real world in relation to gaming,…

This paper contains the comments of a discussant reviewing the paper, "The Role of Visual Representations in the Learning of Mathematics" (Abraham Arcavi). A research-based evaluation is made that focuses on the ideas of stochastics and the epistemological triangle. (Contains 28 references.) (DDR)

Critically analyzes an article by Jan Klabbers, focusing on methodological, epistemological, and ontological viewpoints. Examines the reasoning process whereby the actor approach model of learning environments is derived from the machine approach model; looks at claims of differentiation between rationalism and historicism, and the distinction…