Future directions and perspectives for problem solving research and curriculum development
English, Lyn D., Lesh, Richard, & Fennewald, Thomas (2008) Future directions and perspectives for problem solving research and curriculum development. In Santos, Manuel & Shimizu, Yoshi (Eds.) Proceedings of the 11th International Congress on Mathematical Education, Monterrey, Mexico.
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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|Item Type:||Conference Paper|
|Keywords:||problem solving research, curriculum development|
|Subjects:||Australian and New Zealand Standard Research Classification > EDUCATION (130000) > CURRICULUM AND PEDAGOGY (130200) > Mathematics and Numeracy Curriculum and Pedagogy (130208)|
|Divisions:||Current > Schools > School of Curriculum
Current > QUT Faculties and Divisions > Faculty of Education
|Copyright Owner:||Copyright 2008 Please consult the authors.|
|Deposited On:||12 Nov 2009 00:27|
|Last Modified:||25 Mar 2013 08:10|
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