This journal article discusses Advanced Mathematical Thinking (AMT) and how to enhance it. AMT is ability in representing, abstracting, creative thinking, and mathematical proving. The importance of AMT ability development in accord with government expectation who realize about the importance of mathematical competency mastery for student's life.…

For collaboration in learning situations, it is important to know what the collaborators know. However, developing such knowledge is difficult, especially for newly formed groups participating in a computer-supported collaboration. The solution for this problem described in this paper is to provide to group members access to the knowledge…

This article is concerned with how computer science, and more exactly computational complexity theory, can inform cognitive science. In particular, we suggest factors to be taken into account when investigating how people deal with computational hardness. This discussion will address the two upper levels of Marr's Level Theory: the computational…

Computer-supported collaboration by spatially distributed group members still involves interaction problems within the group. This article presents an empirical study investigating the question of whether computer-supported collaborative problem solving by spatially distributed group members can be fostered by evoking knowledge and information…

More and more things that humans used to do can be automated on computer. In each case, complex tasks have been automated -- not to the extent that they can be done as well as humans, but better. I will draw and develop parallels to education -- showing how and why advances in the Structural Learning Theory (SLT) and the AuthorIT development and…

From a theoretical viewpoint, educational interfaces that facilitate communicative actions involving representations central to a domain can maximize students' effort associated with constructing new schemas. In addition, interfaces that minimize working memory demands due to the interface per se, for example by mimicking existing non-digital work…

We examine whether the array representation can support children's understanding and reasoning in multiplication. To begin, we define what we mean by understanding and reasoning. We adopt a "representational-reasoning" model of understanding, where understanding is seen as connections being made between mental representations of concepts, with…

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,…

In this paper we focus on some of the findings of the science education research community in the area of representations and problem solving. Problem solving depends on the construction and manipulation of mental models (internal representations) in the mind. A large knowledge base (declarative, procedural, strategic, situational, and schematic…

Gaming is discussed against a background of rationalist and historicist traditions of reality; trivial and nontrivial machine models of problem solving; and rigid-rule and free-form games. (JKP)

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…

Describes the difference between mediation and "mediatisation." Suggests the need for a paradigm shift away from the computational model of knowledge as pure information processing and task-centered problem solving to a more contextualist, sociointeractional, constructivist, user-centered model of cognition. (Author/AEF)

Discusses current views on problem solving in the workplace, and identifies five areas for consideration: (1) knowledge representation; (2) verbally teaching strategy components of the skill--versus the learner acquiring it inductively through practice; (3) the principles of teaching procedures; (4) how to construct simulations; and (5) weighing…

Discusses similarities and differences between knowledge acquisition in expert systems and requirement acquisition in others kinds of information systems (particularly decision support systems). Examines role-limiting methods for automated knowledge acquisition and their integration from the problem-solving perspective. Suggests a feasibility…

Reviews Dreyfus's writings about human cognition and artificial intelligence (AI), and explains some of the implications of his position, particularly in education. Topics include Dreyfus' critique of AI, representationlaism and expertise, technology and its role in instruction, computer-assisted instruction, and intelligent tutoring systems. (JKP)