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FUTURE DIRECTIONS AND PERSPECTIVES FOR PROBLEM SOLVING RESEARCH AND CURRICULUM DEVELOPMENT

FUTURE DIRECTIONS AND PERSPECTIVES FOR PROBLEM SOLVING RESEARCH AND CURRICULUM DEVELOPMENT,Lyn English,Richard Lesh,Thomas Fennewald

FUTURE DIRECTIONS AND PERSPECTIVES FOR PROBLEM SOLVING RESEARCH AND CURRICULUM DEVELOPMENT   (Citations: 2)
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Since the 1960s, numerous studies on problem solving have revealed the complexity of the domain and the difficulty in translating research findings into practice. The literature suggests that the impact of problem solving research on the mathematics curriculum has been limited. Furthermore, our accumulation of knowledge on the teaching of problem solving is lagging. In this first discussion paper we initially present a sketch of 50 years of research on mathematical problem solving. We then consider some factors that have held back problem solving research over the past decades and offer some directions for how we might advance the field. We stress the urgent need to take into account the nature of problem solving in various arenas of today's world and to accordingly modernize our perspectives on the teaching and learning of problem solving and of mathematical content through problem solving. Substantive theory development is also long overdue—we show how new perspectives on the development of problem solving expertise can contribute to theory development in guiding the design of worthwhile learning activities. In particular, we explore a models and modeling perspective as an alternative to existing views on problem solving.
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    • ...First, problem solving research has been ambivalent in its findings (see Schoenfeld, 1992; Lester, 1994; Schoenfeld, 2007; English, Lesh & Fennewald, 2008)...
    • ...Although, voices have been raised against a traditional approach to problem solving based on the works of Polya and Schoenfeld (see English, Lesh, & Fennewald, 2008), in our opinion, the teaching of traditional problem solving has been successful under certain circumstances such as in Schoenfeld’s undergraduate classes (Schoenfeld, 1985)...

    Jaguthsing Dindyalet al. Reconceptualising Problem Solving in the School Curriculum

    • ...English, Lesh & Fennewald (2008) identifican tres obstáculos que han limitado el desarrollo de la investigación en la resolución de problemas: (i) no existe una acumulación de información sobre resultados de estudios que se han realizado en la resolución de problemas y que pueda ser analizada y contrastada de manera sistemática...

    Manuel Santos Trigoet al. La Resolución de Problemas Matemáticos: Avances y Perspectivas en la C...

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