942 resultados para Mathematical problem solving


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Many teachers at all levels of education find it hard to articulate what the terms problem and problem solving mean. This study was designed to explore the meanings of these concepts held by people involved in education.

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Goal-directed problem solving as originally advocated by Herbert Simon’s means-ends analysis model has primarily shaped the course of design research on artificially intelligent systems for problem-solving. We contend that there is a definite disregard of a key phase within the overall design process that in fact logically precedes the actual problem solving phase. While systems designers have traditionally been obsessed with goal-directed problem solving, the basic determinants of the ultimate desired goal state still remain to be fully understood or categorically defined. We propose a rational framework built on a set of logically interconnected conjectures to specifically recognize this neglected phase in the overall design process of intelligent systems for practical problem-solving applications.

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As part of video-stimulated post-lesson student interview studies of problem solving activity, Williams (2005, 2011) found successful problem solvers were optimistic. This study interrogates data from three students from a broader study: the role of optimism in collaborative problem solving and how to build it. The research question that focuses this study is “What associations exist between confidence, persistence, and optimism?” The question is explored both theoretically and empirically for the purpose of increasing understanding of the nature of optimistic problem solving activity by linking it to more familiar constructs. Students were progressively selected to further the interrogatory process. It was found that confidence and persistence did not necessarily occur together, and when they did, activity associated with these two characteristics was not sufficient for optimistic problem solving activity to occur. Perseverance was also required.

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To date, many of the models and theories that seek to explain problem solving and decision making, have tended to adopt an overly reductionist view of the processes involved. As a consequence, most theories and models have proved unsuitable in providing managers with a practical explanation of the dynamics that underpin problem solving. A substantial part of a manager’s time is taken up with problem solving and decision making issues. The question of whether managers possess the necessary problem solving skills, or have access to “tools”, which can be used to manage different types of problems, has become an issue of some importance for managers and organisations alike. This paper seeks to contribute to the current literature on problem solving and decision making, by presenting a conceptual model of problem solving, which is intended to assist managers in developing a more holistic framework for managing problem solving issues.

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