The purpose of this study is to examine the proportional reasoning of pre-service teachers at the beginning of their teacher preparation program using the developmental shifts described by Lobato and Ellis (2010). They cast changes in proportional reasoning as transitions or "shifts" in students' thinking and these shifts can serve as…

Multicriteria analysis constitutes a way to model decision processes, which allow the decision maker to assess the possible implications each course of action may entail. A multicriteria problem is chosen from the Programme for International Student Assessment 2003 Report and then extended to include questions involving a choice of preferences and…

The article deals with the cognitive (flexible) rationality, combining rational and irrational moments of the scientific search of the cognizing subject. Linguo-cognitive model of the concept as the flexible regulative rationality reveals the activity of the cognitive processes and the mentality of the epistemological-ontic subject, its leading…

In recent years, Bayesian learning models have been applied to an increasing variety of domains. While such models have been criticized on theoretical grounds, the underlying assumptions and predictions are rarely made concrete and tested experimentally. Here, I use Frank and Tenenbaum's (2011) Bayesian model of rule-learning as a case study to…

This article contributes to ongoing discussions related to the nature, scope, and methods of faith-learning integration. The "initiation" approach developed by Tim McDonough (2011) is adapted to faith-learning integration in an attempt to bridge polarizing discussions regarding indoctrination versus rational autonomy and critical…

The article combines a theoretical approach to structuring knowledge that is based on the integrated use of fuzzy semantic network theory predicates, Boolean functions, theory of complexity of network structures and some practical aspects to be considered in the distance learning at the university. The paper proposes a methodological approach that…

Research identifies two domains by which mathematics allows learning physics concepts: a technical domain that includes algorithmic operations that lead to solving formulas for an unknown quantity and a structural domain that allows for applying mathematical knowledge for structuring physical phenomena. While the technical domain requires…

Purpose: The purpose of this paper is to argue that emotion has a central role to play in rational decision making based on recent research in the neuroanatomy of emotion. As a result, traditional rational decision-making theories, including Herbert Simon's modified model of satisficing that sharply demarcates emotions and values from rationality…

People tend to do things because that's how they have always done them or because that's the way others have done them. Schools are no different. The rigid factory model of education--a conveyor belt that moves children through a standard curriculum of books and lessons in a strict sequence--assumes that all brains are basically the same. They…

Naturalistic thinking and knowing, the tacit, experiential, and intuitive reasoning of everyday interaction, have long been regarded as inferior to formal reason and labeled primitive, fallible, subjective, superstitious, and in some cases ineffable. But, naturalistic thinking is more rational and definable than it appears. It is also relevant to…

Most current ethical decision-making models provide a logical and reasoned process for making ethical judgments, but these models are empirically unproven and rely upon assumptions of rational, conscious, and quasi-legal reasoning. Such models predominate despite the fact that many nonrational factors influence ethical thought and behavior,…

We present a model to analyze the students' activities of argumentation and proof in the graphical context of Elementary Calculus. The theoretical background is provided by the integration of Toulmin's structural description of arguments, Peirce's notions of sign, diagrammatic reasoning and abduction, and Habermas' model for rational behavior.…

In the introduction to her new book, ""Multiplication Is for White People": Raising Expectations for Other People's Children," Lisa Delpit describes her response when Diane Ravitch asked her why she hasn't spoken out against the devastation of public schools in her home state of Louisiana and the efforts to make New Orleans the national model. She…

A novel explanation of belief bias in relational reasoning is presented based on the role of working memory and retrieval in deductive reasoning, and the influence of prior knowledge on this process. It is proposed that belief bias is caused by the believability of a conclusion in working memory which influences its activation level, determining…

The terms of work have changed, with multiple transitions now characterizing the arc of a typical career. This article examines an ongoing shift in the area of vocational decision making, as it moves from a place where "it's all about the match" to one closer to "it's all about adapting to change". We review literatures on judgment and decision…