| Summary: | 碩士 === 國立臺北教育大學 === 數學暨資訊教育學系(含數學教育碩士班) === 94 === The aim of this research is to investigate the development of the concept of vecursive duplicating, by which we mean to make a big sized plane geometric figure by using figure of the same shape with smaller size, of four sixth grades in our primary school in Taoyuan county. After case studies of pupils concrete operating on geometic cards of a particular shape called “sphinx”, clinical diagnois teachingue is excated to findout the processes of problem solving, and the stvategies used. Results cab be summarized as follows:
1. The process of a pupil facing problem solving situation involving a non-familiar geometric figures can be divided into four stages: exploring, outside shape as target, rebuild the inside combiuation, form a recursive duplicating structure concept of the shape.
2. Pupils in the stage in rebuilding inside combinations are easier to develop the recursive duplicating structure concept of the shape than pupils in stage who aim outside shape as target.
3. Two different types of problem solving strategies are located, namely the concrete operating and analysis thinking. Former includes random trial and error, adding to a sub-structure, building outside in, and counting pieces, while the later includes modeling and correcting, and proportional operation.
4. Both strategies mentioned above were used by all pupils rested, concrete operation is the main strategy, aided by analysis thinking.
The finding of this research suggests some supplementing geometrical teaching material would be helpful to the learning of primary school pupils.
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