Abstract
The history of problem solving in schools has been problematic and this chapter outlines some of the background issues. Preferably problem solving has students' exploring unfamiliar problems and using a range of strategies that enhance their powers of analysis, reasoning, generalising and abstracting, ideally students' should experience the beauty of mathematics and its power to make sense of their world. Good problems create opportunities for assessment of quality of student thinking and learning, data that is necessary for further planning and learning, producing data that planning of classroom actitities. Problems are usually written and Newman's Error Analysis is a useful diagnostic procedure that links both problem solving and language concerns. From the diagnostic data different pedagogical strategies have been developed to overcome student difficulties. This chapter will highlight adaptations that contribute to problem solving and effective assessment for leaning.
A Brief Overview Mathematical problem solving is a crucial ingredient in the transformation of mathematics education in the 21st century (Lee, 2011. In paper, problem exploring unfamiliar problems and of strategies to solve while enhancing their powers analysis, reasoning, generalising and abstracting. Yet the place and importance mathematical word problems in the school curriculum have attracted diverse opinions. Teachers seem to like word problems. Many have asked me why these are used to trick children in assessments (Askew,2003, p.78 .The issues seem to be centred on the type and structure of the word problem, as not all mathematical word problems are suitable for the school classroom, หน้า3
Abstract The history of problem solving in schools has been problematic and this chapter outlines some of the background issues. Preferably problem solving has students' exploring unfamiliar problems and using a range of strategies that enhance their powers of analysis, reasoning, generalising and abstracting, ideally students' should experience the beauty of mathematics and its power to make sense of their world. Good problems create opportunities for assessment of quality of student thinking and learning, data that is necessary for further planning and learning, producing data that planning of classroom actitities. Problems are usually written and Newman's Error Analysis is a useful diagnostic procedure that links both problem solving and language concerns. From the diagnostic data different pedagogical strategies have been developed to overcome student difficulties. This chapter will highlight adaptations that contribute to problem solving and effective assessment for leaning. A Brief Overview Mathematical problem solving is a crucial ingredient in the transformation of mathematics education in the 21st century (Lee, 2011. In paper, problem exploring unfamiliar problems and of strategies to solve while enhancing their powers analysis, reasoning, generalising and abstracting. Yet the place and importance mathematical word problems in the school curriculum have attracted diverse opinions. Teachers seem to like word problems. Many have asked me why these are used to trick children in assessments (Askew,2003, p.78 .The issues seem to be centred on the type and structure of the word problem, as not all mathematical word problems are suitable for the school classroom, หน้า3
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