高中学生运用FDI认知方式解决数学应用问题的表征及策略关系研究

Study of the Relationship between the Representation of Solving the Mathematical Analysis Problem and the Staged Using FDI Method

国内外关于问题解决中表征和策略的研究成果不少,但涉及高中数学应用题解决中的问题表征及其与解题策略关系的研究不多.高中学生运用FDI认知方式解决数学应用问题有5个表征层次——文字表征、具体表征、抽象表征、形象表征和数学表征,4种解决策略——盲目搜索策略、情景推理策略、原理统率策略和数学模型策略.高中学生在解决数学应用问题时的表征程度决定了其问题解决策略的选取,表征程度高的学生倾向于选择相对优化的策略.

On the basic of the study of representation of solving problems and the staged at home and abroad, we proposed five levels of the representation and four tragedies to solve mathematical analysis problem with EFD method. And we used to analyze the 251 typical experimented (tested) students in details. The result indicated: The choice of solving problem staged dependedthe degree of the representation (included the time of the representation and the accurate rate of the representation), when the senior school students solved the mathematical analysis problem. The students with high representation degree were inclined to the tragedy, which had a relatively good position.